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Nonisomorphic DHO of prolongations

DHO prolongations with rank=5 and dim(U)=10

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d8_5

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d8_5__1 32 9 r5_d14_14 11
2 r5_d10_erg_r4_d8_5__2 32 9 r5_d14_14 12
3 r5_d10_erg_r4_d8_5__3 32 9 r5_d14_14 13

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d8_6

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d8_6__1 32 9 r5_d10_14 14
2 r5_d10_erg_r4_d8_6__2 32 9 r5_d14_15 15

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d8_9

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d8_9__1 32 9 r5_d10_16 16

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d8_12

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d8_12__1 32 9 r5_d13_124 17
2 r5_d10_erg_r4_d8_12__2 32 9 r5_d13_124 18
3 r5_d10_erg_r4_d8_12__3 32 9 r5_d13_124 19
4 r5_d10_erg_r4_d8_12__4 32 9 r5_d10_20 20
5 r5_d10_erg_r4_d8_12__5 32 9 r5_d13_124 21
6 r5_d10_erg_r4_d8_12__6 32 9 r5_d13_124 22
7 r5_d10_erg_r4_d8_12__7 32 9 r5_d13_124 23
8 r5_d10_erg_r4_d8_12__8 32 9 r5_d13_124 24
9 r5_d10_erg_r4_d8_12__9 32 9 r5_d10_25 25
10 r5_d10_erg_r4_d8_12__10 32 9 r5_d13_124 26
11 r5_d10_erg_r4_d8_12__11 32 9 r5_d13_124 27
12 r5_d10_erg_r4_d8_12__12 32 9 r5_d13_124 28

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d9_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d9_1__1 4960 5 r5_d15_1 1
2 r5_d10_erg_r4_d9_1__2 160 9 r5_d10_29 29
3 r5_d10_erg_r4_d9_1__3 4960 5 r5_d15_1 2

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d9_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d9_2__1 160 6 r5_d15_2 3
2 r5_d10_erg_r4_d9_2__2 160 6 r5_d15_2 4

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d9_5

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d9_5__1 128 8 r5_d11_519 31
2 r5_d10_erg_r4_d9_5__2 128 9 r5_d10_32 32
3 r5_d10_erg_r4_d9_5__3 128 8 r5_d11_520 33
4 r5_d10_erg_r4_d9_5__4 128 8 r5_d11_520 34
5 r5_d10_erg_r4_d9_5__5 128 8 r5_d11_521 35
6 r5_d10_erg_r4_d9_5__6 128 8 r5_d11_520 36
7 r5_d10_erg_r4_d9_5__7 64 9 r5_d11_518 37
8 r5_d10_erg_r4_d9_5__8 128 9 r5_d11_518 38
9 r5_d10_erg_r4_d9_5__9 128 9 r5_d10_39 39
10 r5_d10_erg_r4_d9_5__10 128 9 r5_d10_40 40
11 r5_d10_erg_r4_d9_5__11 128 9 r5_d10_41 41
12 r5_d10_erg_r4_d9_5__12 128 9 r5_d10_42 42
13 r5_d10_erg_r4_d9_5__13 128 9 r5_d11_518 43
14 r5_d10_erg_r4_d9_5__14 128 9 r5_d10_44 44
15 r5_d10_erg_r4_d9_5__15 128 9 r5_d10_45 45
16 r5_d10_erg_r4_d9_5__16 128 9 r5_d10_46 46
17 r5_d10_erg_r4_d9_5__17 128 9 r5_d11_518 47
18 r5_d10_erg_r4_d9_5__18 128 9 r5_d10_48 48
19 r5_d10_erg_r4_d9_5__19 128 9 r5_d10_49 49

Nonisomorphic DHO rank=5, dim(U)=10: prolongation of r4_d9_7

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d10_erg_r4_d9_7__1 32 9 r5_d12_2942 30

DHO prolongations with rank=5 and dim(U)=11

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d8_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d8_1__1 192 6 r5_d15_1 1

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d8_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d8_2__1 64 8 r5_d13_121 446
2 r5_d11_erg_r4_d8_2__2 32 9 r5_d13_121 447
3 r5_d11_erg_r4_d8_2__3 32 9 r5_d13_121 448
4 r5_d11_erg_r4_d8_2__4 32 9 r5_d13_121 449
5 r5_d11_erg_r4_d8_2__5 32 9 r5_d13_121 450
6 r5_d11_erg_r4_d8_2__6 32 9 r5_d13_121 451
7 r5_d11_erg_r4_d8_2__7 32 8 r5_d13_121 452
8 r5_d11_erg_r4_d8_2__8 32 9 r5_d13_121 453

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d8_3

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d8_3__1 32 7 r5_d15_2 10
2 r5_d11_erg_r4_d8_3__2 64 7 r5_d15_2 20
3 r5_d11_erg_r4_d8_3__3 32 7 r5_d15_2 18

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d8_5

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d8_5__1 32 10 r5_d14_14 454
2 r5_d11_erg_r4_d8_5__2 32 10 r5_d14_14 455
3 r5_d11_erg_r4_d8_5__3 32 10 r5_d14_14 456
4 r5_d11_erg_r4_d8_5__4 32 10 r5_d14_14 457
5 r5_d11_erg_r4_d8_5__5 32 10 r5_d14_14 458
6 r5_d11_erg_r4_d8_5__6 32 10 r5_d14_14 459
7 r5_d11_erg_r4_d8_5__7 32 10 r5_d14_14 460
8 r5_d11_erg_r4_d8_5__8 32 10 r5_d14_14 461
9 r5_d11_erg_r4_d8_5__9 32 10 r5_d14_14 462
10 r5_d11_erg_r4_d8_5__10 32 10 r5_d14_14 463
11 r5_d11_erg_r4_d8_5__11 192 10 r5_d14_14 464
12 r5_d11_erg_r4_d8_5__12 192 10 r5_d14_14 465
13 r5_d11_erg_r4_d8_5__13 96 10 r5_d14_14 466
14 r5_d11_erg_r4_d8_5__14 96 10 r5_d14_14 467

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d8_6

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d8_6__1 32 10 r5_d14_15 468
2 r5_d11_erg_r4_d8_6__2 32 10 r5_d14_15 469
3 r5_d11_erg_r4_d8_6__3 32 10 r5_d14_15 470
4 r5_d11_erg_r4_d8_6__4 32 10 r5_d14_15 471
5 r5_d11_erg_r4_d8_6__5 32 10 r5_d14_15 472
6 r5_d11_erg_r4_d8_6__6 64 10 r5_d14_15 473
7 r5_d11_erg_r4_d8_6__7 64 10 r5_d14_15 474
8 r5_d11_erg_r4_d8_6__8 32 10 r5_d14_15 475
9 r5_d11_erg_r4_d8_6__9 32 10 r5_d14_15 476
10 r5_d11_erg_r4_d8_6__10 96 10 r5_d14_15 477
11 r5_d11_erg_r4_d8_6__11 96 10 r5_d14_15 478
12 r5_d11_erg_r4_d8_6__12 96 10 r5_d14_15 479
13 r5_d11_erg_r4_d8_6__13 32 10 r5_d14_15 480
14 r5_d11_erg_r4_d8_6__14 96 10 r5_d14_15 481

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d8_12

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d8_12__1 32 10 r5_d13_124 482
2 r5_d11_erg_r4_d8_12__2 32 10 r5_d13_124 483
3 r5_d11_erg_r4_d8_12__3 32 10 r5_d13_124 484
4 r5_d11_erg_r4_d8_12__4 32 10 r5_d13_124 485
5 r5_d11_erg_r4_d8_12__5 32 10 r5_d13_124 486
6 r5_d11_erg_r4_d8_12__6 32 10 r5_d13_124 487
7 r5_d11_erg_r4_d8_12__7 32 10 r5_d13_124 488
8 r5_d11_erg_r4_d8_12__8 32 10 r5_d13_124 489
9 r5_d11_erg_r4_d8_12__9 32 10 r5_d13_124 490
10 r5_d11_erg_r4_d8_12__10 32 10 r5_d13_124 491
11 r5_d11_erg_r4_d8_12__11 32 10 r5_d13_124 492
12 r5_d11_erg_r4_d8_12__12 32 10 r5_d13_124 493
13 r5_d11_erg_r4_d8_12__13 32 10 r5_d13_124 494
14 r5_d11_erg_r4_d8_12__14 32 10 r5_d13_124 495
15 r5_d11_erg_r4_d8_12__15 32 10 r5_d13_124 496
16 r5_d11_erg_r4_d8_12__16 32 10 r5_d13_124 497
17 r5_d11_erg_r4_d8_12__17 32 10 r5_d13_124 498
18 r5_d11_erg_r4_d8_12__18 32 10 r5_d13_124 499
19 r5_d11_erg_r4_d8_12__19 32 10 r5_d13_124 500
20 r5_d11_erg_r4_d8_12__20 32 10 r5_d13_124 501
21 r5_d11_erg_r4_d8_12__21 32 10 r5_d13_124 502
22 r5_d11_erg_r4_d8_12__22 32 10 r5_d13_124 503
23 r5_d11_erg_r4_d8_12__23 32 10 r5_d13_124 504
24 r5_d11_erg_r4_d8_12__24 32 10 r5_d13_124 505
25 r5_d11_erg_r4_d8_12__25 32 10 r5_d13_124 506
26 r5_d11_erg_r4_d8_12__26 32 10 r5_d13_124 507
27 r5_d11_erg_r4_d8_12__27 32 10 r5_d13_124 508
28 r5_d11_erg_r4_d8_12__28 32 10 r5_d13_124 509
29 r5_d11_erg_r4_d8_12__29 32 10 r5_d13_124 510
30 r5_d11_erg_r4_d8_12__30 32 10 r5_d13_124 511
31 r5_d11_erg_r4_d8_12__31 32 10 r5_d13_124 512
32 r5_d11_erg_r4_d8_12__32 64 10 r5_d13_124 513
33 r5_d11_erg_r4_d8_12__33 64 10 r5_d13_124 514
34 r5_d11_erg_r4_d8_12__34 32 10 r5_d13_124 515

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d10_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d10_1__1 192 6 r5_d15_1 1
2 r5_d11_erg_r4_d10_1__2 160 6 r5_d15_1 3

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d10_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d10_2__1 32 9 r5_d13_121 447
2 r5_d11_erg_r4_d10_2__2 32 7 r5_d15_2 10
3 r5_d11_erg_r4_d10_2__3 32 9 r5_d13_121 451
4 r5_d11_erg_r4_d10_2__4 32 7 r5_d15_2 14
5 r5_d11_erg_r4_d10_2__5 32 7 r5_d15_2 11
6 r5_d11_erg_r4_d10_2__6 32 7 r5_d15_2 12
7 r5_d11_erg_r4_d10_2__7 32 7 r5_d15_2 15
8 r5_d11_erg_r4_d10_2__8 64 7 r5_d15_2 7
9 r5_d11_erg_r4_d10_2__9 32 7 r5_d15_2 8
10 r5_d11_erg_r4_d10_2__10 160 7 r5_d15_2 17
11 r5_d11_erg_r4_d10_2__11 32 7 r5_d15_2 9
12 r5_d11_erg_r4_d10_2__12 32 7 r5_d15_2 18
13 r5_d11_erg_r4_d10_2__13 32 7 r5_d15_2 13
14 r5_d11_erg_r4_d10_2__14 32 7 r5_d15_2 16
15 r5_d11_erg_r4_d10_2__15 192 7 r5_d15_2 19
16 r5_d11_erg_r4_d10_2__16 32 9 r5_d13_121 449
17 r5_d11_erg_r4_d10_2__17 32 9 r5_d13_121 450
18 r5_d11_erg_r4_d10_2__18 32 9 r5_d13_121 448
19 r5_d11_erg_r4_d10_2__19 64 7 r5_d15_2 20
20 r5_d11_erg_r4_d10_2__20 32 9 r5_d13_121 453

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d9_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d9_1__1 192 6 r5_d15_1 1
2 r5_d11_erg_r4_d9_1__2 160 6 r5_d15_1 3

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d9_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d9_2__1 32 7 r5_d15_2 10
2 r5_d11_erg_r4_d9_2__2 32 8 r5_d13_121 452
3 r5_d11_erg_r4_d9_2__3 32 7 r5_d15_2 11
4 r5_d11_erg_r4_d9_2__4 32 7 r5_d15_2 14
5 r5_d11_erg_r4_d9_2__5 32 7 r5_d15_2 12
6 r5_d11_erg_r4_d9_2__6 32 7 r5_d15_2 9
7 r5_d11_erg_r4_d9_2__7 32 7 r5_d15_2 18
8 r5_d11_erg_r4_d9_2__8 32 9 r5_d13_121 449
9 r5_d11_erg_r4_d9_2__9 32 7 r5_d15_2 16
10 r5_d11_erg_r4_d9_2__10 32 7 r5_d15_2 13
11 r5_d11_erg_r4_d9_2__11 64 7 r5_d15_2 20
12 r5_d11_erg_r4_d9_2__12 32 9 r5_d13_121 450
13 r5_d11_erg_r4_d9_2__13 192 7 r5_d15_2 19
14 r5_d11_erg_r4_d9_2__14 32 9 r5_d13_121 448
15 r5_d11_erg_r4_d9_2__15 32 7 r5_d15_2 8
16 r5_d11_erg_r4_d9_2__16 32 7 r5_d15_2 15
17 r5_d11_erg_r4_d9_2__17 64 7 r5_d15_2 7
18 r5_d11_erg_r4_d9_2__18 160 7 r5_d15_2 17
19 r5_d11_erg_r4_d9_2__19 64 8 r5_d13_121 446

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d9_5

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d9_5__1 128 10 r5_d11_518 518
2 r5_d11_erg_r4_d9_5__2 768 9 r5_d11_519 519
3 r5_d11_erg_r4_d9_5__3 256 9 r5_d11_520 520
4 r5_d11_erg_r4_d9_5__4 768 9 r5_d11_521 521

Nonisomorphic DHO rank=5, dim(U)=11: prolongation of r4_d9_7

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d11_erg_r4_d9_7__1 32 10 r5_d12_2942 516
2 r5_d11_erg_r4_d9_7__2 32 10 r5_d12_2942 517

DHO prolongations with rank=5 and dim(U)=12

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d8_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d8_1__1 1536 7 r5_d15_1 1

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d8_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d8_2__1 128 9 r5_d13_121 2917
2 r5_d12_erg_r4_d8_2__2 64 10 r5_d13_121 2918
3 r5_d12_erg_r4_d8_2__3 512 9 r5_d13_121 2919
4 r5_d12_erg_r4_d8_2__4 256 9 r5_d13_121 2920

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d8_3

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d8_3__1 768 8 r5_d15_2 26
2 r5_d12_erg_r4_d8_3__2 1536 8 r5_d15_2 42
3 r5_d12_erg_r4_d8_3__3 128 8 r5_d15_2 27

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d8_5

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d8_5__1 64 11 r5_d14_14 2921
2 r5_d12_erg_r4_d8_5__2 128 11 r5_d14_14 2922
3 r5_d12_erg_r4_d8_5__3 64 11 r5_d14_14 2923

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d8_6

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d8_6__1 128 11 r5_d14_15 2924
2 r5_d12_erg_r4_d8_6__2 128 11 r5_d14_15 2925
3 r5_d12_erg_r4_d8_6__3 64 11 r5_d14_15 2926
4 r5_d12_erg_r4_d8_6__4 128 11 r5_d14_15 2927

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d8_12

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d8_12__1 64 11 r5_d13_124 2928
2 r5_d12_erg_r4_d8_12__2 64 11 r5_d13_124 2929
3 r5_d12_erg_r4_d8_12__3 64 11 r5_d13_124 2930
4 r5_d12_erg_r4_d8_12__4 64 11 r5_d13_124 2931
5 r5_d12_erg_r4_d8_12__5 128 11 r5_d13_124 2932
6 r5_d12_erg_r4_d8_12__6 64 11 r5_d13_124 2933
7 r5_d12_erg_r4_d8_12__7 64 11 r5_d13_124 2934
8 r5_d12_erg_r4_d8_12__8 128 11 r5_d13_124 2935
9 r5_d12_erg_r4_d8_12__9 128 11 r5_d13_124 2936

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d10_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d10_1__1 1536 7 r5_d15_1 1
2 r5_d12_erg_r4_d10_1__2 192 7 r5_d15_1 4
3 r5_d12_erg_r4_d10_1__3 5376 7 r5_d15_1 3

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d10_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d10_2__1 256 9 r5_d13_121 2920
2 r5_d12_erg_r4_d10_2__2 768 8 r5_d15_2 140734974526164
3 r5_d12_erg_r4_d10_2__3 128 8 r5_d15_2 140734974526164
4 r5_d12_erg_r4_d10_2__4 64 8 r5_d15_2 140734974526164
5 r5_d12_erg_r4_d10_2__5 128 8 r5_d15_2 140734974526164
6 r5_d12_erg_r4_d10_2__6 192 8 r5_d15_2 140734974526164
7 r5_d12_erg_r4_d10_2__7 64 8 r5_d15_2 140734974526164
8 r5_d12_erg_r4_d10_2__8 64 8 r5_d15_2 140734974526164
9 r5_d12_erg_r4_d10_2__9 128 8 r5_d15_2 140734974526164
10 r5_d12_erg_r4_d10_2__10 128 9 r5_d13_121 2917
11 r5_d12_erg_r4_d10_2__11 32 8 r5_d15_2 140734974526164
12 r5_d12_erg_r4_d10_2__12 64 8 r5_d15_2 140734974526164
13 r5_d12_erg_r4_d10_2__13 32 8 r5_d15_2 140734974526164
14 r5_d12_erg_r4_d10_2__14 192 8 r5_d15_2 140734974526164
15 r5_d12_erg_r4_d10_2__15 192 8 r5_d15_2 140734974526164
16 r5_d12_erg_r4_d10_2__16 192 8 r5_d15_2 140734974526164
17 r5_d12_erg_r4_d10_2__17 64 8 r5_d15_2 140734974526164
18 r5_d12_erg_r4_d10_2__18 64 10 r5_d13_121 2918
19 r5_d12_erg_r4_d10_2__19 1536 8 r5_d15_2 140734974526164
20 r5_d12_erg_r4_d10_2__20 512 9 r5_d13_121 2919
21 r5_d12_erg_r4_d10_2__21 3072 10 r5_d12_2937 2937
22 r5_d12_erg_r4_d10_2__22 86016 8 r5_d15_2 140734974526164
23 r5_d12_erg_r4_d10_2__23 12288 9 r5_d13_121 2938
24 r5_d12_erg_r4_d10_2__24 1792 8 r5_d15_2 140734974526164

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d7_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d7_1__1 86016 8 r5_d15_2 49

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d7_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d7_2__1 30720 11 r5_d12_2939 2939

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d7_3

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d7_3__1 12288 9 r5_d13_121 2938

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d7_4

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d7_4__1 9216 11 r5_d14_15 2940

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d7_5

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d7_5__1 3584 11 r5_d12_2941 2941

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d7_6

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d7_6__1 3072 10 r5_d12_2937 2937

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d9_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d9_1__1 192 7 r5_d15_1 4
2 r5_d12_erg_r4_d9_1__2 5376 7 r5_d15_1 3
3 r5_d12_erg_r4_d9_1__3 1536 7 r5_d15_1 1

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d9_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d9_2__1 128 8 r5_d15_2 23
2 r5_d12_erg_r4_d9_2__2 128 8 r5_d15_2 18
3 r5_d12_erg_r4_d9_2__3 64 8 r5_d15_2 29
4 r5_d12_erg_r4_d9_2__4 64 8 r5_d15_2 28
5 r5_d12_erg_r4_d9_2__5 32 8 r5_d15_2 16
6 r5_d12_erg_r4_d9_2__6 192 8 r5_d15_2 22
7 r5_d12_erg_r4_d9_2__7 32 8 r5_d15_2 21
8 r5_d12_erg_r4_d9_2__8 64 8 r5_d15_2 17
9 r5_d12_erg_r4_d9_2__9 64 8 r5_d15_2 24
10 r5_d12_erg_r4_d9_2__10 64 8 r5_d15_2 19
11 r5_d12_erg_r4_d9_2__11 192 8 r5_d15_2 15
12 r5_d12_erg_r4_d9_2__12 192 8 r5_d15_2 20
13 r5_d12_erg_r4_d9_2__13 192 8 r5_d15_2 25
14 r5_d12_erg_r4_d9_2__14 1792 8 r5_d15_2 43
15 r5_d12_erg_r4_d9_2__15 128 8 r5_d15_2 27
16 r5_d12_erg_r4_d9_2__16 1536 8 r5_d15_2 42
17 r5_d12_erg_r4_d9_2__17 128 9 r5_d13_121 2917

Nonisomorphic DHO rank=5, dim(U)=12: prolongation of r4_d9_7

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d12_erg_r4_d9_7__1 384 11 r5_d12_2942 2942

DHO prolongations with rank=5 and dim(U)=13

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d8_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d8_1__1 184320 8 r5_d15_1 1

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d8_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d8_2__1 12288 10 r5_d13_121 121

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d8_3

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d8_3__1 12288 9 r5_d15_2 9

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d8_5

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d8_5__1 3072 12 r5_d14_14 122

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d8_6

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d8_6__1 3072 12 r5_d14_15 123

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d8_12

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d8_12__1 1024 12 r5_d13_124 124

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d10_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d10_1__1 3072 8 r5_d15_1 2
2 r5_d13_erg_r4_d10_1__2 184320 8 r5_d15_1 1

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d10_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d10_2__1 256 9 r5_d15_2 6
2 r5_d13_erg_r4_d10_2__2 256 9 r5_d15_2 7
3 r5_d13_erg_r4_d10_2__3 1920 9 r5_d15_2 16
4 r5_d13_erg_r4_d10_2__4 1152 9 r5_d15_2 15
5 r5_d13_erg_r4_d10_2__5 1024 9 r5_d15_2 8
6 r5_d13_erg_r4_d10_2__6 12288 10 r5_d13_121 121
7 r5_d13_erg_r4_d10_2__7 12288 9 r5_d15_2 9

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d9_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d9_1__1 3072 8 r5_d15_1 2

Nonisomorphic DHO rank=5, dim(U)=13: prolongation of r4_d9_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d13_erg_r4_d9_2__1 256 9 r5_d15_2 6
2 r5_d13_erg_r4_d9_2__2 1024 9 r5_d15_2 8
3 r5_d13_erg_r4_d9_2__3 256 9 r5_d15_2 7

DHO prolongations with rank=5 and dim(U)=14

Nonisomorphic DHO rank=5, dim(U)=14: prolongation of r4_d10_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d14_erg_r4_d10_1__1 368640 9 r5_d15_1 1

Nonisomorphic DHO rank=5, dim(U)=14: prolongation of r4_d10_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d14_erg_r4_d10_2__1 23040 10 r5_d15_2 4
2 r5_d14_erg_r4_d10_2__2 24576 10 r5_d15_2 3

Nonisomorphic DHO rank=5, dim(U)=14: prolongation of r4_d9_1

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d14_erg_r4_d9_1__1 368640 9 r5_d15_1 1

Nonisomorphic DHO rank=5, dim(U)=14: prolongation of r4_d9_2

ID GAP_id |Aut| dim(P) U.Cov IsoID
1 r5_d14_erg_r4_d9_2__1 24576 10 r5_d15_2 3

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