# Extensions 1→N→G→Q→1 with N=C24 and Q=D6

Direct product G=N×Q with N=C24 and Q=D6
dρLabelID
S3×C2×C2496S3xC2xC24288,670

Semidirect products G=N:Q with N=C24 and Q=D6
extensionφ:Q→Aut NdρLabelID
C241D6 = C241D6φ: D6/C3C22 ⊆ Aut C24484+C24:1D6288,442
C242D6 = D24⋊S3φ: D6/C3C22 ⊆ Aut C24484C24:2D6288,443
C243D6 = C243D6φ: D6/C3C22 ⊆ Aut C2472C24:3D6288,765
C244D6 = C244D6φ: D6/C3C22 ⊆ Aut C24484C24:4D6288,445
C245D6 = D8×C3⋊S3φ: D6/C3C22 ⊆ Aut C2472C24:5D6288,767
C246D6 = C246D6φ: D6/C3C22 ⊆ Aut C24484C24:6D6288,446
C247D6 = C247D6φ: D6/C3C22 ⊆ Aut C2472C24:7D6288,771
C248D6 = C248D6φ: D6/C3C22 ⊆ Aut C2472C24:8D6288,768
C249D6 = C249D6φ: D6/C3C22 ⊆ Aut C24484C24:9D6288,444
C2410D6 = SD16×C3⋊S3φ: D6/C3C22 ⊆ Aut C2472C24:10D6288,770
C2411D6 = C3×C8⋊D6φ: D6/C3C22 ⊆ Aut C24484C24:11D6288,679
C2412D6 = C3×D8⋊S3φ: D6/C3C22 ⊆ Aut C24484C24:12D6288,682
C2413D6 = C3×Q83D6φ: D6/C3C22 ⊆ Aut C24484C24:13D6288,685
C2414D6 = C24⋊D6φ: D6/C3C22 ⊆ Aut C24484C24:14D6288,439
C2415D6 = M4(2)×C3⋊S3φ: D6/C3C22 ⊆ Aut C2472C24:15D6288,763
C2416D6 = S3×D24φ: D6/S3C2 ⊆ Aut C24484+C24:16D6288,441
C2417D6 = S3×C24⋊C2φ: D6/S3C2 ⊆ Aut C24484C24:17D6288,440
C2418D6 = C3×S3×D8φ: D6/S3C2 ⊆ Aut C24484C24:18D6288,681
C2419D6 = S32×C8φ: D6/S3C2 ⊆ Aut C24484C24:19D6288,437
C2420D6 = S3×C8⋊S3φ: D6/S3C2 ⊆ Aut C24484C24:20D6288,438
C2421D6 = C3×S3×SD16φ: D6/S3C2 ⊆ Aut C24484C24:21D6288,684
C2422D6 = C3×S3×M4(2)φ: D6/S3C2 ⊆ Aut C24484C24:22D6288,677
C2423D6 = C2×C325D8φ: D6/C6C2 ⊆ Aut C24144C24:23D6288,760
C2424D6 = C2×C242S3φ: D6/C6C2 ⊆ Aut C24144C24:24D6288,759
C2425D6 = C6×D24φ: D6/C6C2 ⊆ Aut C2496C24:25D6288,674
C2426D6 = C2×C8×C3⋊S3φ: D6/C6C2 ⊆ Aut C24144C24:26D6288,756
C2427D6 = C2×C24⋊S3φ: D6/C6C2 ⊆ Aut C24144C24:27D6288,757
C2428D6 = C6×C24⋊C2φ: D6/C6C2 ⊆ Aut C2496C24:28D6288,673
C2429D6 = C6×C8⋊S3φ: D6/C6C2 ⊆ Aut C2496C24:29D6288,671

Non-split extensions G=N.Q with N=C24 and Q=D6
extensionφ:Q→Aut NdρLabelID
C24.1D6 = C8⋊D18φ: D6/C3C22 ⊆ Aut C24724+C24.1D6288,118
C24.2D6 = C8.D18φ: D6/C3C22 ⊆ Aut C241444-C24.2D6288,119
C24.3D6 = C24.3D6φ: D6/C3C22 ⊆ Aut C24964-C24.3D6288,448
C24.4D6 = Dic12⋊S3φ: D6/C3C22 ⊆ Aut C24484C24.4D6288,449
C24.5D6 = C24.5D6φ: D6/C3C22 ⊆ Aut C24144C24.5D6288,766
C24.6D6 = C9⋊D16φ: D6/C3C22 ⊆ Aut C241444+C24.6D6288,33
C24.7D6 = D8.D9φ: D6/C3C22 ⊆ Aut C241444-C24.7D6288,34
C24.8D6 = C9⋊SD32φ: D6/C3C22 ⊆ Aut C241444+C24.8D6288,35
C24.9D6 = C9⋊Q32φ: D6/C3C22 ⊆ Aut C242884-C24.9D6288,36
C24.10D6 = D8×D9φ: D6/C3C22 ⊆ Aut C24724+C24.10D6288,120
C24.11D6 = D83D9φ: D6/C3C22 ⊆ Aut C241444-C24.11D6288,122
C24.12D6 = Q16×D9φ: D6/C3C22 ⊆ Aut C241444-C24.12D6288,127
C24.13D6 = D725C2φ: D6/C3C22 ⊆ Aut C241444+C24.13D6288,129
C24.14D6 = C322D16φ: D6/C3C22 ⊆ Aut C24964C24.14D6288,193
C24.15D6 = D24.S3φ: D6/C3C22 ⊆ Aut C24964C24.15D6288,195
C24.16D6 = C323SD32φ: D6/C3C22 ⊆ Aut C24964-C24.16D6288,196
C24.17D6 = C322Q32φ: D6/C3C22 ⊆ Aut C24964C24.17D6288,198
C24.18D6 = C327D16φ: D6/C3C22 ⊆ Aut C24144C24.18D6288,301
C24.19D6 = C328SD32φ: D6/C3C22 ⊆ Aut C24144C24.19D6288,302
C24.20D6 = C3210SD32φ: D6/C3C22 ⊆ Aut C24144C24.20D6288,303
C24.21D6 = C327Q32φ: D6/C3C22 ⊆ Aut C24288C24.21D6288,304
C24.22D6 = S3×Dic12φ: D6/C3C22 ⊆ Aut C24964-C24.22D6288,447
C24.23D6 = C24.23D6φ: D6/C3C22 ⊆ Aut C24484C24.23D6288,450
C24.24D6 = D247S3φ: D6/C3C22 ⊆ Aut C24964-C24.24D6288,455
C24.25D6 = D245S3φ: D6/C3C22 ⊆ Aut C24484C24.25D6288,458
C24.26D6 = C24.26D6φ: D6/C3C22 ⊆ Aut C24144C24.26D6288,769
C24.27D6 = Q16×C3⋊S3φ: D6/C3C22 ⊆ Aut C24144C24.27D6288,774
C24.28D6 = C24.28D6φ: D6/C3C22 ⊆ Aut C24144C24.28D6288,776
C24.29D6 = D72⋊C2φ: D6/C3C22 ⊆ Aut C24724+C24.29D6288,124
C24.30D6 = SD16⋊D9φ: D6/C3C22 ⊆ Aut C241444-C24.30D6288,125
C24.31D6 = D12.4D6φ: D6/C3C22 ⊆ Aut C24484C24.31D6288,459
C24.32D6 = C24.32D6φ: D6/C3C22 ⊆ Aut C24144C24.32D6288,772
C24.33D6 = D8⋊D9φ: D6/C3C22 ⊆ Aut C24724C24.33D6288,121
C24.34D6 = Q16⋊D9φ: D6/C3C22 ⊆ Aut C241444C24.34D6288,128
C24.35D6 = C24.35D6φ: D6/C3C22 ⊆ Aut C24144C24.35D6288,775
C24.36D6 = SD16×D9φ: D6/C3C22 ⊆ Aut C24724C24.36D6288,123
C24.37D6 = SD163D9φ: D6/C3C22 ⊆ Aut C241444C24.37D6288,126
C24.38D6 = D6.1D12φ: D6/C3C22 ⊆ Aut C24484C24.38D6288,454
C24.39D6 = D12.2D6φ: D6/C3C22 ⊆ Aut C24484C24.39D6288,457
C24.40D6 = C24.40D6φ: D6/C3C22 ⊆ Aut C24144C24.40D6288,773
C24.41D6 = C3×C8.D6φ: D6/C3C22 ⊆ Aut C24484C24.41D6288,680
C24.42D6 = C3×D4.D6φ: D6/C3C22 ⊆ Aut C24484C24.42D6288,686
C24.43D6 = C3×Q16⋊S3φ: D6/C3C22 ⊆ Aut C24964C24.43D6288,689
C24.44D6 = M4(2)×D9φ: D6/C3C22 ⊆ Aut C24724C24.44D6288,116
C24.45D6 = D36.C4φ: D6/C3C22 ⊆ Aut C241444C24.45D6288,117
C24.46D6 = C24.D6φ: D6/C3C22 ⊆ Aut C24484C24.46D6288,453
C24.47D6 = C24.47D6φ: D6/C3C22 ⊆ Aut C24144C24.47D6288,764
C24.48D6 = C3⋊D48φ: D6/S3C2 ⊆ Aut C24484+C24.48D6288,194
C24.49D6 = C24.49D6φ: D6/S3C2 ⊆ Aut C24484+C24.49D6288,197
C24.50D6 = C323Q32φ: D6/S3C2 ⊆ Aut C24964-C24.50D6288,199
C24.51D6 = D6.3D12φ: D6/S3C2 ⊆ Aut C24484+C24.51D6288,456
C24.52D6 = C3×C3⋊D16φ: D6/S3C2 ⊆ Aut C24484C24.52D6288,260
C24.53D6 = C3×D8.S3φ: D6/S3C2 ⊆ Aut C24484C24.53D6288,261
C24.54D6 = C3×C8.6D6φ: D6/S3C2 ⊆ Aut C24964C24.54D6288,262
C24.55D6 = C3×C3⋊Q32φ: D6/S3C2 ⊆ Aut C24964C24.55D6288,263
C24.56D6 = C3×D83S3φ: D6/S3C2 ⊆ Aut C24484C24.56D6288,683
C24.57D6 = C3×S3×Q16φ: D6/S3C2 ⊆ Aut C24964C24.57D6288,688
C24.58D6 = C3×D24⋊C2φ: D6/S3C2 ⊆ Aut C24964C24.58D6288,690
C24.59D6 = S3×C3⋊C16φ: D6/S3C2 ⊆ Aut C24964C24.59D6288,189
C24.60D6 = C24.60D6φ: D6/S3C2 ⊆ Aut C24484C24.60D6288,190
C24.61D6 = C24.61D6φ: D6/S3C2 ⊆ Aut C24964C24.61D6288,191
C24.62D6 = C24.62D6φ: D6/S3C2 ⊆ Aut C24484C24.62D6288,192
C24.63D6 = C24.63D6φ: D6/S3C2 ⊆ Aut C24484C24.63D6288,451
C24.64D6 = C24.64D6φ: D6/S3C2 ⊆ Aut C24484C24.64D6288,452
C24.65D6 = C3×Q8.7D6φ: D6/S3C2 ⊆ Aut C24484C24.65D6288,687
C24.66D6 = C3×D12.C4φ: D6/S3C2 ⊆ Aut C24484C24.66D6288,678
C24.67D6 = D144φ: D6/C6C2 ⊆ Aut C241442+C24.67D6288,6
C24.68D6 = C144⋊C2φ: D6/C6C2 ⊆ Aut C241442C24.68D6288,7
C24.69D6 = Dic72φ: D6/C6C2 ⊆ Aut C242882-C24.69D6288,8
C24.70D6 = C2×Dic36φ: D6/C6C2 ⊆ Aut C24288C24.70D6288,109
C24.71D6 = C2×D72φ: D6/C6C2 ⊆ Aut C24144C24.71D6288,114
C24.72D6 = C325D16φ: D6/C6C2 ⊆ Aut C24144C24.72D6288,274
C24.73D6 = C6.D24φ: D6/C6C2 ⊆ Aut C24144C24.73D6288,275
C24.74D6 = C325Q32φ: D6/C6C2 ⊆ Aut C24288C24.74D6288,276
C24.75D6 = C2×C325Q16φ: D6/C6C2 ⊆ Aut C24288C24.75D6288,762
C24.76D6 = C2×C72⋊C2φ: D6/C6C2 ⊆ Aut C24144C24.76D6288,113
C24.77D6 = D727C2φ: D6/C6C2 ⊆ Aut C241442C24.77D6288,115
C24.78D6 = C24.78D6φ: D6/C6C2 ⊆ Aut C24144C24.78D6288,761
C24.79D6 = C3×D48φ: D6/C6C2 ⊆ Aut C24962C24.79D6288,233
C24.80D6 = C3×C48⋊C2φ: D6/C6C2 ⊆ Aut C24962C24.80D6288,234
C24.81D6 = C3×Dic24φ: D6/C6C2 ⊆ Aut C24962C24.81D6288,235
C24.82D6 = C3×C4○D24φ: D6/C6C2 ⊆ Aut C24482C24.82D6288,675
C24.83D6 = C6×Dic12φ: D6/C6C2 ⊆ Aut C2496C24.83D6288,676
C24.84D6 = C16×D9φ: D6/C6C2 ⊆ Aut C241442C24.84D6288,4
C24.85D6 = C16⋊D9φ: D6/C6C2 ⊆ Aut C241442C24.85D6288,5
C24.86D6 = C2×C9⋊C16φ: D6/C6C2 ⊆ Aut C24288C24.86D6288,18
C24.87D6 = C36.C8φ: D6/C6C2 ⊆ Aut C241442C24.87D6288,19
C24.88D6 = C2×C8×D9φ: D6/C6C2 ⊆ Aut C24144C24.88D6288,110
C24.89D6 = C2×C8⋊D9φ: D6/C6C2 ⊆ Aut C24144C24.89D6288,111
C24.90D6 = D36.2C4φ: D6/C6C2 ⊆ Aut C241442C24.90D6288,112
C24.91D6 = C16×C3⋊S3φ: D6/C6C2 ⊆ Aut C24144C24.91D6288,272
C24.92D6 = C48⋊S3φ: D6/C6C2 ⊆ Aut C24144C24.92D6288,273
C24.93D6 = C2×C24.S3φ: D6/C6C2 ⊆ Aut C24288C24.93D6288,286
C24.94D6 = C24.94D6φ: D6/C6C2 ⊆ Aut C24144C24.94D6288,287
C24.95D6 = C24.95D6φ: D6/C6C2 ⊆ Aut C24144C24.95D6288,758
C24.96D6 = C3×C8○D12φ: D6/C6C2 ⊆ Aut C24482C24.96D6288,672
C24.97D6 = S3×C48central extension (φ=1)962C24.97D6288,231
C24.98D6 = C3×D6.C8central extension (φ=1)962C24.98D6288,232
C24.99D6 = C6×C3⋊C16central extension (φ=1)96C24.99D6288,245
C24.100D6 = C3×C12.C8central extension (φ=1)482C24.100D6288,246

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