Extensions 1→N→G→Q→1 with N=C24 and Q=D4

Direct product G=N×Q with N=C24 and Q=D4
dρLabelID
D4×C2496D4xC24192,867

Semidirect products G=N:Q with N=C24 and Q=D4
extensionφ:Q→Aut NdρLabelID
C241D4 = C8⋊D12φ: D4/C2C22 ⊆ Aut C2496C24:1D4192,271
C242D4 = C242D4φ: D4/C2C22 ⊆ Aut C2496C24:2D4192,693
C243D4 = C243D4φ: D4/C2C22 ⊆ Aut C2496C24:3D4192,694
C244D4 = D62D8φ: D4/C2C22 ⊆ Aut C2496C24:4D4192,442
C245D4 = C245D4φ: D4/C2C22 ⊆ Aut C2496C24:5D4192,710
C246D4 = D63D8φ: D4/C2C22 ⊆ Aut C2496C24:6D4192,716
C247D4 = C247D4φ: D4/C2C22 ⊆ Aut C2496C24:7D4192,424
C248D4 = C248D4φ: D4/C2C22 ⊆ Aut C2496C24:8D4192,733
C249D4 = C249D4φ: D4/C2C22 ⊆ Aut C2496C24:9D4192,735
C2410D4 = C83D12φ: D4/C2C22 ⊆ Aut C2496C24:10D4192,445
C2411D4 = C2411D4φ: D4/C2C22 ⊆ Aut C2496C24:11D4192,713
C2412D4 = C2412D4φ: D4/C2C22 ⊆ Aut C2496C24:12D4192,718
C2413D4 = C88D12φ: D4/C2C22 ⊆ Aut C2496C24:13D4192,423
C2414D4 = C2414D4φ: D4/C2C22 ⊆ Aut C2496C24:14D4192,730
C2415D4 = C2415D4φ: D4/C2C22 ⊆ Aut C2496C24:15D4192,734
C2416D4 = C3×C8⋊D4φ: D4/C2C22 ⊆ Aut C2496C24:16D4192,901
C2417D4 = C3×C82D4φ: D4/C2C22 ⊆ Aut C2496C24:17D4192,902
C2418D4 = C3×C83D4φ: D4/C2C22 ⊆ Aut C2496C24:18D4192,929
C2419D4 = C89D12φ: D4/C2C22 ⊆ Aut C2496C24:19D4192,265
C2420D4 = C24⋊D4φ: D4/C2C22 ⊆ Aut C2496C24:20D4192,686
C2421D4 = C2421D4φ: D4/C2C22 ⊆ Aut C2496C24:21D4192,687
C2422D4 = C124D8φ: D4/C4C2 ⊆ Aut C2496C24:22D4192,254
C2423D4 = C85D12φ: D4/C4C2 ⊆ Aut C2496C24:23D4192,252
C2424D4 = C3×C84D4φ: D4/C4C2 ⊆ Aut C2496C24:24D4192,926
C2425D4 = C8×D12φ: D4/C4C2 ⊆ Aut C2496C24:25D4192,245
C2426D4 = C86D12φ: D4/C4C2 ⊆ Aut C2496C24:26D4192,247
C2427D4 = C3×C85D4φ: D4/C4C2 ⊆ Aut C2496C24:27D4192,925
C2428D4 = C3×C86D4φ: D4/C4C2 ⊆ Aut C2496C24:28D4192,869
C2429D4 = C2429D4φ: D4/C22C2 ⊆ Aut C2496C24:29D4192,674
C2430D4 = C2430D4φ: D4/C22C2 ⊆ Aut C2496C24:30D4192,673
C2431D4 = C3×C87D4φ: D4/C22C2 ⊆ Aut C2496C24:31D4192,899
C2432D4 = C8×C3⋊D4φ: D4/C22C2 ⊆ Aut C2496C24:32D4192,668
C2433D4 = C2433D4φ: D4/C22C2 ⊆ Aut C2496C24:33D4192,670
C2434D4 = C3×C88D4φ: D4/C22C2 ⊆ Aut C2496C24:34D4192,898
C2435D4 = C3×C89D4φ: D4/C22C2 ⊆ Aut C2496C24:35D4192,868

Non-split extensions G=N.Q with N=C24 and Q=D4
extensionφ:Q→Aut NdρLabelID
C24.1D4 = C8.D12φ: D4/C2C22 ⊆ Aut C2496C24.1D4192,274
C24.2D4 = C16⋊D6φ: D4/C2C22 ⊆ Aut C24484+C24.2D4192,467
C24.3D4 = C16.D6φ: D4/C2C22 ⊆ Aut C24964-C24.3D4192,468
C24.4D4 = C24.4D4φ: D4/C2C22 ⊆ Aut C2496C24.4D4192,696
C24.5D4 = C6.D16φ: D4/C2C22 ⊆ Aut C2496C24.5D4192,50
C24.6D4 = C6.Q32φ: D4/C2C22 ⊆ Aut C24192C24.6D4192,51
C24.7D4 = D24.C4φ: D4/C2C22 ⊆ Aut C24484+C24.7D4192,54
C24.8D4 = C24.8D4φ: D4/C2C22 ⊆ Aut C24964-C24.8D4192,55
C24.9D4 = C3⋊D32φ: D4/C2C22 ⊆ Aut C24964+C24.9D4192,78
C24.10D4 = D16.S3φ: D4/C2C22 ⊆ Aut C24964-C24.10D4192,79
C24.11D4 = C3⋊SD64φ: D4/C2C22 ⊆ Aut C24964+C24.11D4192,80
C24.12D4 = C3⋊Q64φ: D4/C2C22 ⊆ Aut C241924-C24.12D4192,81
C24.13D4 = D81Dic3φ: D4/C2C22 ⊆ Aut C2496C24.13D4192,121
C24.14D4 = D8.Dic3φ: D4/C2C22 ⊆ Aut C24484C24.14D4192,122
C24.15D4 = C6.5Q32φ: D4/C2C22 ⊆ Aut C24192C24.15D4192,123
C24.16D4 = Q16.Dic3φ: D4/C2C22 ⊆ Aut C24964C24.16D4192,124
C24.17D4 = D62Q16φ: D4/C2C22 ⊆ Aut C2496C24.17D4192,446
C24.18D4 = C24.18D4φ: D4/C2C22 ⊆ Aut C24964-C24.18D4192,455
C24.19D4 = C24.19D4φ: D4/C2C22 ⊆ Aut C24484+C24.19D4192,456
C24.20D4 = C2×C3⋊D16φ: D4/C2C22 ⊆ Aut C2496C24.20D4192,705
C24.21D4 = C2×D8.S3φ: D4/C2C22 ⊆ Aut C2496C24.21D4192,707
C24.22D4 = C24.22D4φ: D4/C2C22 ⊆ Aut C2496C24.22D4192,714
C24.23D4 = C24.23D4φ: D4/C2C22 ⊆ Aut C24484C24.23D4192,719
C24.24D4 = C2×C8.6D6φ: D4/C2C22 ⊆ Aut C2496C24.24D4192,737
C24.25D4 = C2×C3⋊Q32φ: D4/C2C22 ⊆ Aut C24192C24.25D4192,739
C24.26D4 = C24.26D4φ: D4/C2C22 ⊆ Aut C24192C24.26D4192,742
C24.27D4 = D63Q16φ: D4/C2C22 ⊆ Aut C2496C24.27D4192,747
C24.28D4 = C24.28D4φ: D4/C2C22 ⊆ Aut C2496C24.28D4192,750
C24.29D4 = C24.29D4φ: D4/C2C22 ⊆ Aut C24964C24.29D4192,751
C24.30D4 = C8.2D12φ: D4/C2C22 ⊆ Aut C2496C24.30D4192,426
C24.31D4 = C24.31D4φ: D4/C2C22 ⊆ Aut C2496C24.31D4192,726
C24.32D4 = Q16⋊D6φ: D4/C2C22 ⊆ Aut C24484+C24.32D4192,752
C24.33D4 = D8.9D6φ: D4/C2C22 ⊆ Aut C24964-C24.33D4192,754
C24.34D4 = D8.D6φ: D4/C2C22 ⊆ Aut C24484C24.34D4192,706
C24.35D4 = C24.27C23φ: D4/C2C22 ⊆ Aut C24964C24.35D4192,738
C24.36D4 = C24.36D4φ: D4/C2C22 ⊆ Aut C2496C24.36D4192,748
C24.37D4 = C24.37D4φ: D4/C2C22 ⊆ Aut C2496C24.37D4192,749
C24.38D4 = D248C4φ: D4/C2C22 ⊆ Aut C24484C24.38D4192,47
C24.39D4 = Dic12.C4φ: D4/C2C22 ⊆ Aut C24964C24.39D4192,56
C24.40D4 = D82Dic3φ: D4/C2C22 ⊆ Aut C24484C24.40D4192,125
C24.41D4 = C24.41D4φ: D4/C2C22 ⊆ Aut C24964C24.41D4192,126
C24.42D4 = C24.42D4φ: D4/C2C22 ⊆ Aut C24484C24.42D4192,457
C24.43D4 = C24.43D4φ: D4/C2C22 ⊆ Aut C2496C24.43D4192,727
C24.44D4 = C24.44D4φ: D4/C2C22 ⊆ Aut C24484C24.44D4192,736
C24.45D4 = Q16.D6φ: D4/C2C22 ⊆ Aut C24964C24.45D4192,753
C24.46D4 = C3×C8.D4φ: D4/C2C22 ⊆ Aut C2496C24.46D4192,903
C24.47D4 = C3×C8.2D4φ: D4/C2C22 ⊆ Aut C2496C24.47D4192,930
C24.48D4 = C3×C16⋊C22φ: D4/C2C22 ⊆ Aut C24484C24.48D4192,942
C24.49D4 = C3×Q32⋊C2φ: D4/C2C22 ⊆ Aut C24964C24.49D4192,943
C24.50D4 = C8.25D12φ: D4/C2C22 ⊆ Aut C24484C24.50D4192,73
C24.51D4 = Dic6.C8φ: D4/C2C22 ⊆ Aut C24964C24.51D4192,74
C24.52D4 = C24.D4φ: D4/C2C22 ⊆ Aut C24484C24.52D4192,112
C24.53D4 = D244C4φ: D4/C2C22 ⊆ Aut C24484C24.53D4192,276
C24.54D4 = C24.54D4φ: D4/C2C22 ⊆ Aut C24484C24.54D4192,704
C24.55D4 = D96φ: D4/C4C2 ⊆ Aut C24962+C24.55D4192,7
C24.56D4 = C32⋊S3φ: D4/C4C2 ⊆ Aut C24962C24.56D4192,8
C24.57D4 = Dic48φ: D4/C4C2 ⊆ Aut C241922-C24.57D4192,9
C24.58D4 = C8.8D12φ: D4/C4C2 ⊆ Aut C2496C24.58D4192,255
C24.59D4 = C124Q16φ: D4/C4C2 ⊆ Aut C24192C24.59D4192,258
C24.60D4 = C2×D48φ: D4/C4C2 ⊆ Aut C2496C24.60D4192,461
C24.61D4 = C2×C48⋊C2φ: D4/C4C2 ⊆ Aut C2496C24.61D4192,462
C24.62D4 = C2×Dic24φ: D4/C4C2 ⊆ Aut C24192C24.62D4192,464
C24.63D4 = D487C2φ: D4/C4C2 ⊆ Aut C24962C24.63D4192,463
C24.64D4 = C3×D32φ: D4/C4C2 ⊆ Aut C24962C24.64D4192,177
C24.65D4 = C3×SD64φ: D4/C4C2 ⊆ Aut C24962C24.65D4192,178
C24.66D4 = C3×Q64φ: D4/C4C2 ⊆ Aut C241922C24.66D4192,179
C24.67D4 = C3×C4⋊Q16φ: D4/C4C2 ⊆ Aut C24192C24.67D4192,927
C24.68D4 = C6×D16φ: D4/C4C2 ⊆ Aut C2496C24.68D4192,938
C24.69D4 = C6×SD32φ: D4/C4C2 ⊆ Aut C2496C24.69D4192,939
C24.70D4 = C6×Q32φ: D4/C4C2 ⊆ Aut C24192C24.70D4192,940
C24.71D4 = C12⋊C16φ: D4/C4C2 ⊆ Aut C24192C24.71D4192,21
C24.72D4 = C24.1C8φ: D4/C4C2 ⊆ Aut C24482C24.72D4192,22
C24.73D4 = D12.C8φ: D4/C4C2 ⊆ Aut C24962C24.73D4192,67
C24.74D4 = D2411C4φ: D4/C4C2 ⊆ Aut C24482C24.74D4192,259
C24.75D4 = C3×C8.12D4φ: D4/C4C2 ⊆ Aut C2496C24.75D4192,928
C24.76D4 = C3×C4○D16φ: D4/C4C2 ⊆ Aut C24962C24.76D4192,941
C24.77D4 = C3×C8○D8φ: D4/C4C2 ⊆ Aut C24482C24.77D4192,876
C24.78D4 = C2.Dic24φ: D4/C22C2 ⊆ Aut C24192C24.78D4192,62
C24.79D4 = C2.D48φ: D4/C22C2 ⊆ Aut C2496C24.79D4192,68
C24.80D4 = M5(2)⋊S3φ: D4/C22C2 ⊆ Aut C24484+C24.80D4192,75
C24.81D4 = C12.4D8φ: D4/C22C2 ⊆ Aut C24964-C24.81D4192,76
C24.82D4 = C24.82D4φ: D4/C22C2 ⊆ Aut C2496C24.82D4192,675
C24.83D4 = Q8.9D12φ: D4/C22C2 ⊆ Aut C24484+C24.83D4192,701
C24.84D4 = Q8.10D12φ: D4/C22C2 ⊆ Aut C24964-C24.84D4192,702
C24.85D4 = D24.1C4φ: D4/C22C2 ⊆ Aut C24962C24.85D4192,69
C24.86D4 = D242C4φ: D4/C22C2 ⊆ Aut C24484C24.86D4192,77
C24.87D4 = Q8.8D12φ: D4/C22C2 ⊆ Aut C24484C24.87D4192,700
C24.88D4 = C3×C2.D16φ: D4/C22C2 ⊆ Aut C2496C24.88D4192,163
C24.89D4 = C3×C2.Q32φ: D4/C22C2 ⊆ Aut C24192C24.89D4192,164
C24.90D4 = C3×M5(2)⋊C2φ: D4/C22C2 ⊆ Aut C24484C24.90D4192,167
C24.91D4 = C3×C8.17D4φ: D4/C22C2 ⊆ Aut C24964C24.91D4192,168
C24.92D4 = C3×C8.18D4φ: D4/C22C2 ⊆ Aut C2496C24.92D4192,900
C24.93D4 = C3×D4.4D4φ: D4/C22C2 ⊆ Aut C24484C24.93D4192,905
C24.94D4 = C3×D4.5D4φ: D4/C22C2 ⊆ Aut C24964C24.94D4192,906
C24.95D4 = Dic3⋊C16φ: D4/C22C2 ⊆ Aut C24192C24.95D4192,60
C24.96D4 = D6⋊C16φ: D4/C22C2 ⊆ Aut C2496C24.96D4192,66
C24.97D4 = C24.97D4φ: D4/C22C2 ⊆ Aut C24484C24.97D4192,70
C24.98D4 = C24.98D4φ: D4/C22C2 ⊆ Aut C2496C24.98D4192,108
C24.99D4 = C24.99D4φ: D4/C22C2 ⊆ Aut C24964C24.99D4192,120
C24.100D4 = C24.100D4φ: D4/C22C2 ⊆ Aut C24484C24.100D4192,703
C24.101D4 = C3×D8.C4φ: D4/C22C2 ⊆ Aut C24962C24.101D4192,165
C24.102D4 = C3×D82C4φ: D4/C22C2 ⊆ Aut C24484C24.102D4192,166
C24.103D4 = C3×D4.3D4φ: D4/C22C2 ⊆ Aut C24484C24.103D4192,904
C24.104D4 = C3×C23.C8φ: D4/C22C2 ⊆ Aut C24484C24.104D4192,155
C24.105D4 = C3×C8.26D4φ: D4/C22C2 ⊆ Aut C24484C24.105D4192,877
C24.106D4 = C3×C22⋊C16central extension (φ=1)96C24.106D4192,154
C24.107D4 = C3×D4.C8central extension (φ=1)962C24.107D4192,156
C24.108D4 = C3×C4⋊C16central extension (φ=1)192C24.108D4192,169
C24.109D4 = C3×C8.C8central extension (φ=1)482C24.109D4192,170

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