Direct product G=NxQ with N=C60 and Q=D4
Semidirect products G=N:Q with N=C60 and Q=D4
extension | φ:Q→Aut N | d | ρ | Label | ID |
C60:1D4 = C4:D60 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:1D4 | 480,860 |
C60:2D4 = C60:2D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:2D4 | 480,903 |
C60:3D4 = C60:3D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:3D4 | 480,905 |
C60:4D4 = C60:4D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:4D4 | 480,532 |
C60:5D4 = C12:D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:5D4 | 480,534 |
C60:6D4 = C60:6D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:6D4 | 480,536 |
C60:7D4 = C60:D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:7D4 | 480,525 |
C60:8D4 = C12:7D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:8D4 | 480,526 |
C60:9D4 = C20:D12 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:9D4 | 480,527 |
C60:10D4 = C60:10D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:10D4 | 480,539 |
C60:11D4 = C12:2D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:11D4 | 480,541 |
C60:12D4 = C20:2D12 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:12D4 | 480,542 |
C60:13D4 = C4xC15:D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:13D4 | 480,515 |
C60:14D4 = C4xC3:D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:14D4 | 480,519 |
C60:15D4 = C4xC5:D12 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:15D4 | 480,521 |
C60:16D4 = C3xC4:D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:16D4 | 480,688 |
C60:17D4 = C3xC20:2D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:17D4 | 480,731 |
C60:18D4 = C3xC20:D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:18D4 | 480,733 |
C60:19D4 = C5xC12:D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:19D4 | 480,774 |
C60:20D4 = C5xD6:3D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:20D4 | 480,817 |
C60:21D4 = C5xC12:3D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60:21D4 | 480,819 |
C60:22D4 = C42:6D15 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60:22D4 | 480,839 |
C60:23D4 = C4xD60 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60:23D4 | 480,838 |
C60:24D4 = C3xC20:4D4 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60:24D4 | 480,667 |
C60:25D4 = C5xC4:D12 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60:25D4 | 480,753 |
C60:26D4 = C12xD20 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60:26D4 | 480,666 |
C60:27D4 = C20xD12 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60:27D4 | 480,752 |
C60:28D4 = C15xC4:1D4 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60:28D4 | 480,932 |
C60:29D4 = C60:29D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60:29D4 | 480,895 |
C60:30D4 = C4xC15:7D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60:30D4 | 480,893 |
C60:31D4 = C3xC20:7D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60:31D4 | 480,723 |
C60:32D4 = C5xC12:7D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60:32D4 | 480,809 |
C60:33D4 = C12xC5:D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60:33D4 | 480,721 |
C60:34D4 = C20xC3:D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60:34D4 | 480,807 |
C60:35D4 = C15xC4:D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60:35D4 | 480,926 |
Non-split extensions G=N.Q with N=C60 and Q=D4
extension | φ:Q→Aut N | d | ρ | Label | ID |
C60.1D4 = D60:9C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.1D4 | 480,169 |
C60.2D4 = Dic30:9C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.2D4 | 480,170 |
C60.3D4 = C15:7D16 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4+ | C60.3D4 | 480,186 |
C60.4D4 = D8.D15 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4- | C60.4D4 | 480,187 |
C60.5D4 = C8.6D30 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4+ | C60.5D4 | 480,188 |
C60.6D4 = C15:7Q32 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | 4- | C60.6D4 | 480,189 |
C60.7D4 = D4:Dic15 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.7D4 | 480,192 |
C60.8D4 = C60.8D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.8D4 | 480,193 |
C60.9D4 = Q8:2Dic15 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.9D4 | 480,195 |
C60.10D4 = C60.10D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.10D4 | 480,196 |
C60.11D4 = D30:6Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.11D4 | 480,862 |
C60.12D4 = C8:D30 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4+ | C60.12D4 | 480,873 |
C60.13D4 = C8.D30 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4- | C60.13D4 | 480,874 |
C60.14D4 = C2xD4:D15 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.14D4 | 480,896 |
C60.15D4 = D4.D30 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.15D4 | 480,897 |
C60.16D4 = C2xD4.D15 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.16D4 | 480,898 |
C60.17D4 = C60.17D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.17D4 | 480,901 |
C60.18D4 = C2xQ8:2D15 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.18D4 | 480,906 |
C60.19D4 = Q8.11D30 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.19D4 | 480,907 |
C60.20D4 = C2xC15:7Q16 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.20D4 | 480,908 |
C60.21D4 = Dic15:4Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.21D4 | 480,909 |
C60.22D4 = D30:7Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.22D4 | 480,911 |
C60.23D4 = C60.23D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.23D4 | 480,912 |
C60.24D4 = C3:D80 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4+ | C60.24D4 | 480,14 |
C60.25D4 = D40.S3 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4- | C60.25D4 | 480,18 |
C60.26D4 = C24.D10 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4+ | C60.26D4 | 480,19 |
C60.27D4 = C3:Dic40 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | 4- | C60.27D4 | 480,23 |
C60.28D4 = C60.28D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.28D4 | 480,34 |
C60.29D4 = C60.29D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4+ | C60.29D4 | 480,36 |
C60.30D4 = C12.6D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.30D4 | 480,37 |
C60.31D4 = C60.31D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4- | C60.31D4 | 480,39 |
C60.32D4 = C6.D40 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.32D4 | 480,41 |
C60.33D4 = D60:12C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.33D4 | 480,44 |
C60.34D4 = C6.Dic20 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.34D4 | 480,47 |
C60.35D4 = Dic30:12C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.35D4 | 480,50 |
C60.36D4 = C60.36D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.36D4 | 480,374 |
C60.37D4 = C2xC3:D40 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.37D4 | 480,376 |
C60.38D4 = C60.38D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4+ | C60.38D4 | 480,381 |
C60.39D4 = D12.37D10 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.39D4 | 480,385 |
C60.40D4 = C2xC6.D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.40D4 | 480,386 |
C60.41D4 = C2xC15:SD16 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.41D4 | 480,390 |
C60.42D4 = C2xC3:Dic20 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.42D4 | 480,395 |
C60.43D4 = D12.33D10 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4- | C60.43D4 | 480,398 |
C60.44D4 = C60.44D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.44D4 | 480,440 |
C60.45D4 = C60.45D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.45D4 | 480,441 |
C60.46D4 = C60.46D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.46D4 | 480,445 |
C60.47D4 = C60.47D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.47D4 | 480,450 |
C60.48D4 = C60.48D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.48D4 | 480,465 |
C60.49D4 = C5:D48 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4+ | C60.49D4 | 480,15 |
C60.50D4 = D24.D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4- | C60.50D4 | 480,20 |
C60.51D4 = Dic12:D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4+ | C60.51D4 | 480,21 |
C60.52D4 = C5:Dic24 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | 4- | C60.52D4 | 480,24 |
C60.53D4 = C20.5D12 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.53D4 | 480,35 |
C60.54D4 = C60.54D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.54D4 | 480,38 |
C60.55D4 = C10.D24 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.55D4 | 480,43 |
C60.56D4 = D60:15C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.56D4 | 480,45 |
C60.57D4 = C10.Dic12 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.57D4 | 480,49 |
C60.58D4 = Dic30:15C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.58D4 | 480,51 |
C60.59D4 = D20:21D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.59D4 | 480,375 |
C60.60D4 = D20:19D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4+ | C60.60D4 | 480,377 |
C60.61D4 = C2xC5:D24 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.61D4 | 480,378 |
C60.62D4 = D20.37D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.62D4 | 480,383 |
C60.63D4 = C60.63D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4- | C60.63D4 | 480,389 |
C60.64D4 = C2xD12.D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.64D4 | 480,392 |
C60.65D4 = C2xDic6:D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.65D4 | 480,393 |
C60.66D4 = C2xC5:Dic12 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.66D4 | 480,396 |
C60.67D4 = C60.67D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.67D4 | 480,435 |
C60.68D4 = C60.68D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.68D4 | 480,436 |
C60.69D4 = C60.69D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.69D4 | 480,449 |
C60.70D4 = C60.70D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.70D4 | 480,451 |
C60.71D4 = Dic5:Dic6 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.71D4 | 480,452 |
C60.72D4 = C15:D16 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.72D4 | 480,13 |
C60.73D4 = C40.D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.73D4 | 480,16 |
C60.74D4 = C15:SD32 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.74D4 | 480,17 |
C60.75D4 = C15:Q32 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | 4 | C60.75D4 | 480,22 |
C60.76D4 = C30.D8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.76D4 | 480,40 |
C60.77D4 = D12:Dic5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.77D4 | 480,42 |
C60.78D4 = C30.Q16 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.78D4 | 480,46 |
C60.79D4 = Dic6:Dic5 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.79D4 | 480,48 |
C60.80D4 = C2xC15:D8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.80D4 | 480,372 |
C60.81D4 = D60:36C22 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.81D4 | 480,380 |
C60.82D4 = C2xC30.D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.82D4 | 480,382 |
C60.83D4 = C2xC20.D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.83D4 | 480,384 |
C60.84D4 = D60:30C22 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.84D4 | 480,388 |
C60.85D4 = C12.D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.85D4 | 480,391 |
C60.86D4 = C2xC15:Q16 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.86D4 | 480,394 |
C60.87D4 = C20.D12 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.87D4 | 480,397 |
C60.88D4 = C60.88D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.88D4 | 480,444 |
C60.89D4 = C60.89D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.89D4 | 480,446 |
C60.90D4 = D30:9Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.90D4 | 480,459 |
C60.91D4 = Dic15:8Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.91D4 | 480,461 |
C60.92D4 = D30:10Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.92D4 | 480,466 |
C60.93D4 = C60.93D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.93D4 | 480,31 |
C60.94D4 = C60.94D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.94D4 | 480,32 |
C60.95D4 = D30:4C8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.95D4 | 480,33 |
C60.96D4 = C60.96D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.96D4 | 480,52 |
C60.97D4 = C60.97D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.97D4 | 480,53 |
C60.98D4 = C60.98D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.98D4 | 480,54 |
C60.99D4 = C60.99D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.99D4 | 480,55 |
C60.100D4 = D60:13C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.100D4 | 480,56 |
C60.101D4 = D60:16C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.101D4 | 480,57 |
C60.102D4 = C60.13Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.102D4 | 480,58 |
C60.103D4 = C60.14Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.103D4 | 480,59 |
C60.104D4 = C60.15Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.104D4 | 480,60 |
C60.105D4 = C60.105D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.105D4 | 480,67 |
C60.106D4 = C60.D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.106D4 | 480,68 |
C60.107D4 = C12.59D20 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.107D4 | 480,69 |
C60.108D4 = D20.34D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.108D4 | 480,373 |
C60.109D4 = C20.60D12 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.109D4 | 480,379 |
C60.110D4 = D20.31D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.110D4 | 480,387 |
C60.111D4 = C3xD20:6C4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.111D4 | 480,87 |
C60.112D4 = C3xC10.Q16 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.112D4 | 480,88 |
C60.113D4 = C3xC5:D16 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.113D4 | 480,104 |
C60.114D4 = C3xD8.D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.114D4 | 480,105 |
C60.115D4 = C3xC5:SD32 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.115D4 | 480,106 |
C60.116D4 = C3xC5:Q32 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | 4 | C60.116D4 | 480,107 |
C60.117D4 = C3xD4:Dic5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.117D4 | 480,110 |
C60.118D4 = C3xC20.D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.118D4 | 480,111 |
C60.119D4 = C3xQ8:Dic5 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.119D4 | 480,113 |
C60.120D4 = C3xC20.10D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.120D4 | 480,114 |
C60.121D4 = C3xD10:2Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.121D4 | 480,690 |
C60.122D4 = C3xC8:D10 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.122D4 | 480,701 |
C60.123D4 = C3xC8.D10 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.123D4 | 480,702 |
C60.124D4 = C6xD4:D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.124D4 | 480,724 |
C60.125D4 = C3xD4.D10 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.125D4 | 480,725 |
C60.126D4 = C6xD4.D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.126D4 | 480,726 |
C60.127D4 = C3xC20.17D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.127D4 | 480,729 |
C60.128D4 = C6xQ8:D5 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.128D4 | 480,734 |
C60.129D4 = C3xC20.C23 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.129D4 | 480,735 |
C60.130D4 = C6xC5:Q16 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.130D4 | 480,736 |
C60.131D4 = C3xDic5:Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.131D4 | 480,737 |
C60.132D4 = C3xD10:3Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.132D4 | 480,739 |
C60.133D4 = C3xC20.23D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.133D4 | 480,740 |
C60.134D4 = C5xC6.D8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.134D4 | 480,128 |
C60.135D4 = C5xC6.SD16 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.135D4 | 480,129 |
C60.136D4 = C5xC3:D16 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.136D4 | 480,145 |
C60.137D4 = C5xD8.S3 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.137D4 | 480,146 |
C60.138D4 = C5xC8.6D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.138D4 | 480,147 |
C60.139D4 = C5xC3:Q32 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | 4 | C60.139D4 | 480,148 |
C60.140D4 = C5xD4:Dic3 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.140D4 | 480,151 |
C60.141D4 = C5xC12.D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.141D4 | 480,152 |
C60.142D4 = C5xQ8:2Dic3 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.142D4 | 480,154 |
C60.143D4 = C5xC12.10D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.143D4 | 480,155 |
C60.144D4 = C5xC4.D12 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.144D4 | 480,776 |
C60.145D4 = C5xC8:D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.145D4 | 480,787 |
C60.146D4 = C5xC8.D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.146D4 | 480,788 |
C60.147D4 = C10xD4:S3 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.147D4 | 480,810 |
C60.148D4 = C5xD12:6C22 | φ: D4/C2 → C22 ⊆ Aut C60 | 120 | 4 | C60.148D4 | 480,811 |
C60.149D4 = C10xD4.S3 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.149D4 | 480,812 |
C60.150D4 = C5xC23.12D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.150D4 | 480,815 |
C60.151D4 = C10xQ8:2S3 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.151D4 | 480,820 |
C60.152D4 = C5xQ8.11D6 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | 4 | C60.152D4 | 480,821 |
C60.153D4 = C10xC3:Q16 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.153D4 | 480,822 |
C60.154D4 = C5xDic3:Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 480 | | C60.154D4 | 480,823 |
C60.155D4 = C5xD6:3Q8 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.155D4 | 480,825 |
C60.156D4 = C5xC12.23D4 | φ: D4/C2 → C22 ⊆ Aut C60 | 240 | | C60.156D4 | 480,826 |
C60.157D4 = D240 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2+ | C60.157D4 | 480,159 |
C60.158D4 = C48:D5 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.158D4 | 480,160 |
C60.159D4 = Dic120 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | 2- | C60.159D4 | 480,161 |
C60.160D4 = C60:8Q8 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.160D4 | 480,834 |
C60.161D4 = C42:7D15 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.161D4 | 480,840 |
C60.162D4 = C2xC24:D5 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.162D4 | 480,867 |
C60.163D4 = C2xD120 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.163D4 | 480,868 |
C60.164D4 = C2xDic60 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.164D4 | 480,870 |
C60.165D4 = C60:5C8 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.165D4 | 480,164 |
C60.166D4 = D60:7C4 | φ: D4/C4 → C2 ⊆ Aut C60 | 120 | 2 | C60.166D4 | 480,165 |
C60.167D4 = C4.18D60 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.167D4 | 480,179 |
C60.168D4 = C40.69D6 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.168D4 | 480,869 |
C60.169D4 = C3xD80 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.169D4 | 480,77 |
C60.170D4 = C3xC16:D5 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.170D4 | 480,78 |
C60.171D4 = C3xDic40 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | 2 | C60.171D4 | 480,79 |
C60.172D4 = C3xC20:2Q8 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.172D4 | 480,662 |
C60.173D4 = C3xC4.D20 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.173D4 | 480,668 |
C60.174D4 = C6xC40:C2 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.174D4 | 480,695 |
C60.175D4 = C6xD40 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.175D4 | 480,696 |
C60.176D4 = C6xDic20 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.176D4 | 480,698 |
C60.177D4 = C5xD48 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.177D4 | 480,118 |
C60.178D4 = C5xC48:C2 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.178D4 | 480,119 |
C60.179D4 = C5xDic24 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | 2 | C60.179D4 | 480,120 |
C60.180D4 = C5xC12:2Q8 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.180D4 | 480,748 |
C60.181D4 = C5xC42:7S3 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.181D4 | 480,754 |
C60.182D4 = C10xC24:C2 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.182D4 | 480,781 |
C60.183D4 = C10xD24 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.183D4 | 480,782 |
C60.184D4 = C10xDic12 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.184D4 | 480,784 |
C60.185D4 = C3xC20:3C8 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.185D4 | 480,82 |
C60.186D4 = C3xD20:4C4 | φ: D4/C4 → C2 ⊆ Aut C60 | 120 | 2 | C60.186D4 | 480,83 |
C60.187D4 = C3xC40.6C4 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.187D4 | 480,97 |
C60.188D4 = C3xD40:7C2 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.188D4 | 480,697 |
C60.189D4 = C5xC12:C8 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.189D4 | 480,123 |
C60.190D4 = C5xC42:4S3 | φ: D4/C4 → C2 ⊆ Aut C60 | 120 | 2 | C60.190D4 | 480,124 |
C60.191D4 = C5xC24.C4 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.191D4 | 480,138 |
C60.192D4 = C5xC4oD24 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.192D4 | 480,783 |
C60.193D4 = C15xD16 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.193D4 | 480,214 |
C60.194D4 = C15xSD32 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | 2 | C60.194D4 | 480,215 |
C60.195D4 = C15xQ32 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | 2 | C60.195D4 | 480,216 |
C60.196D4 = C15xC4.4D4 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.196D4 | 480,929 |
C60.197D4 = C15xC4:Q8 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.197D4 | 480,933 |
C60.198D4 = D8xC30 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.198D4 | 480,937 |
C60.199D4 = SD16xC30 | φ: D4/C4 → C2 ⊆ Aut C60 | 240 | | C60.199D4 | 480,938 |
C60.200D4 = Q16xC30 | φ: D4/C4 → C2 ⊆ Aut C60 | 480 | | C60.200D4 | 480,939 |
C60.201D4 = Dic30:8C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 480 | | C60.201D4 | 480,176 |
C60.202D4 = D60:8C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.202D4 | 480,181 |
C60.203D4 = M4(2):D15 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4+ | C60.203D4 | 480,183 |
C60.204D4 = C4.D60 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4- | C60.204D4 | 480,184 |
C60.205D4 = C60.205D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.205D4 | 480,889 |
C60.206D4 = D4:D30 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4+ | C60.206D4 | 480,914 |
C60.207D4 = D4.9D30 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4- | C60.207D4 | 480,916 |
C60.208D4 = C60.26Q8 | φ: D4/C22 → C2 ⊆ Aut C60 | 480 | | C60.208D4 | 480,174 |
C60.209D4 = D30:3C8 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.209D4 | 480,180 |
C60.210D4 = C60.210D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.210D4 | 480,182 |
C60.211D4 = D60:10C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.211D4 | 480,185 |
C60.212D4 = C60.212D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.212D4 | 480,190 |
C60.213D4 = Q8:3Dic15 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.213D4 | 480,197 |
C60.214D4 = D4.8D30 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.214D4 | 480,915 |
C60.215D4 = C3xC20.44D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 480 | | C60.215D4 | 480,94 |
C60.216D4 = C3xD20:5C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.216D4 | 480,99 |
C60.217D4 = C3xC20.46D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.217D4 | 480,101 |
C60.218D4 = C3xC4.12D20 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.218D4 | 480,102 |
C60.219D4 = C3xC20.48D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.219D4 | 480,717 |
C60.220D4 = C3xD4:D10 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.220D4 | 480,742 |
C60.221D4 = C3xD4.9D10 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.221D4 | 480,744 |
C60.222D4 = C5xC2.Dic12 | φ: D4/C22 → C2 ⊆ Aut C60 | 480 | | C60.222D4 | 480,135 |
C60.223D4 = C5xC2.D24 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.223D4 | 480,140 |
C60.224D4 = C5xC12.46D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.224D4 | 480,142 |
C60.225D4 = C5xC12.47D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.225D4 | 480,143 |
C60.226D4 = C5xC12.48D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.226D4 | 480,803 |
C60.227D4 = C5xD4:D6 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.227D4 | 480,828 |
C60.228D4 = C5xQ8.14D6 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.228D4 | 480,830 |
C60.229D4 = C3xC20.8Q8 | φ: D4/C22 → C2 ⊆ Aut C60 | 480 | | C60.229D4 | 480,92 |
C60.230D4 = C3xD10:1C8 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.230D4 | 480,98 |
C60.231D4 = C3xC20.53D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.231D4 | 480,100 |
C60.232D4 = C3xD20:7C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.232D4 | 480,103 |
C60.233D4 = C3xC20.55D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.233D4 | 480,108 |
C60.234D4 = C3xD4:2Dic5 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.234D4 | 480,115 |
C60.235D4 = C3xD4.8D10 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.235D4 | 480,743 |
C60.236D4 = C5xDic3:C8 | φ: D4/C22 → C2 ⊆ Aut C60 | 480 | | C60.236D4 | 480,133 |
C60.237D4 = C5xD6:C8 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.237D4 | 480,139 |
C60.238D4 = C5xC12.53D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.238D4 | 480,141 |
C60.239D4 = C5xD12:C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.239D4 | 480,144 |
C60.240D4 = C5xC12.55D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.240D4 | 480,149 |
C60.241D4 = C5xQ8:3Dic3 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.241D4 | 480,156 |
C60.242D4 = C5xQ8.13D6 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.242D4 | 480,829 |
C60.243D4 = C15xC4.D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.243D4 | 480,203 |
C60.244D4 = C15xC4.10D4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.244D4 | 480,204 |
C60.245D4 = C15xD4:C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.245D4 | 480,205 |
C60.246D4 = C15xQ8:C4 | φ: D4/C22 → C2 ⊆ Aut C60 | 480 | | C60.246D4 | 480,206 |
C60.247D4 = C15xC22:Q8 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | | C60.247D4 | 480,927 |
C60.248D4 = C15xC8:C22 | φ: D4/C22 → C2 ⊆ Aut C60 | 120 | 4 | C60.248D4 | 480,941 |
C60.249D4 = C15xC8.C22 | φ: D4/C22 → C2 ⊆ Aut C60 | 240 | 4 | C60.249D4 | 480,942 |
C60.250D4 = C15xC22:C8 | central extension (φ=1) | 240 | | C60.250D4 | 480,201 |
C60.251D4 = C15xC4wrC2 | central extension (φ=1) | 120 | 2 | C60.251D4 | 480,207 |
C60.252D4 = C15xC4:C8 | central extension (φ=1) | 480 | | C60.252D4 | 480,208 |
C60.253D4 = C15xC8.C4 | central extension (φ=1) | 240 | 2 | C60.253D4 | 480,211 |
C60.254D4 = C15xC4oD8 | central extension (φ=1) | 240 | 2 | C60.254D4 | 480,940 |
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