# 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×C2596S3xC2^5192,1542

Semidirect products G=N:Q with N=C24 and Q=D6
extensionφ:Q→Aut NdρLabelID
C241D6 = C24⋊D6φ: D6/C1D6 ⊆ Aut C2486+C2^4:1D6192,955
C242D6 = D4×S4φ: D6/C1D6 ⊆ Aut C24126+C2^4:2D6192,1472
C243D6 = C2×A4⋊D4φ: D6/C2S3 ⊆ Aut C2424C2^4:3D6192,1488
C244D6 = C23×S4φ: D6/C2S3 ⊆ Aut C2424C2^4:4D6192,1537
C245D6 = C2×C22⋊S4φ: D6/C2S3 ⊆ Aut C24126+C2^4:5D6192,1538
C246D6 = C246D6φ: D6/C3C22 ⊆ Aut C24244C2^4:6D6192,591
C247D6 = C247D6φ: D6/C3C22 ⊆ Aut C2448C2^4:7D6192,1148
C248D6 = C248D6φ: D6/C3C22 ⊆ Aut C2448C2^4:8D6192,1149
C249D6 = C249D6φ: D6/C3C22 ⊆ Aut C2448C2^4:9D6192,1153
C2410D6 = C2×C232D6φ: D6/C3C22 ⊆ Aut C2448C2^4:10D6192,1358
C2411D6 = D4×C3⋊D4φ: D6/C3C22 ⊆ Aut C2448C2^4:11D6192,1360
C2412D6 = C2412D6φ: D6/C3C22 ⊆ Aut C2448C2^4:12D6192,1363
C2413D6 = C2×D46D6φ: D6/C3C22 ⊆ Aut C2448C2^4:13D6192,1516
C2414D6 = S3×C22≀C2φ: D6/S3C2 ⊆ Aut C2424C2^4:14D6192,1147
C2415D6 = C22×S3×D4φ: D6/S3C2 ⊆ Aut C2448C2^4:15D6192,1514
C2416D6 = C2×C244S3φ: D6/C6C2 ⊆ Aut C2448C2^4:16D6192,1399
C2417D6 = C23×C3⋊D4φ: D6/C6C2 ⊆ Aut C2496C2^4:17D6192,1529

Non-split extensions G=N.Q with N=C24 and Q=D6
extensionφ:Q→Aut NdρLabelID
C24.D6 = D42S4φ: D6/C1D6 ⊆ Aut C24246C2^4.D6192,1473
C24.2D6 = C4×A4⋊C4φ: D6/C2S3 ⊆ Aut C2448C2^4.2D6192,969
C24.3D6 = C24.3D6φ: D6/C2S3 ⊆ Aut C2448C2^4.3D6192,970
C24.4D6 = C24.4D6φ: D6/C2S3 ⊆ Aut C2448C2^4.4D6192,971
C24.5D6 = C24.5D6φ: D6/C2S3 ⊆ Aut C2424C2^4.5D6192,972
C24.6D6 = C25.S3φ: D6/C2S3 ⊆ Aut C2424C2^4.6D6192,991
C24.7D6 = C2×A4⋊Q8φ: D6/C2S3 ⊆ Aut C2448C2^4.7D6192,1468
C24.8D6 = C2×C4×S4φ: D6/C2S3 ⊆ Aut C2424C2^4.8D6192,1469
C24.9D6 = C2×C4⋊S4φ: D6/C2S3 ⊆ Aut C2424C2^4.9D6192,1470
C24.10D6 = C24.10D6φ: D6/C2S3 ⊆ Aut C24246C2^4.10D6192,1471
C24.11D6 = C22×A4⋊C4φ: D6/C2S3 ⊆ Aut C2448C2^4.11D6192,1487
C24.12D6 = C24.12D6φ: D6/C3C22 ⊆ Aut C2448C2^4.12D6192,85
C24.13D6 = C24.13D6φ: D6/C3C22 ⊆ Aut C2448C2^4.13D6192,86
C24.14D6 = C24.14D6φ: D6/C3C22 ⊆ Aut C2496C2^4.14D6192,503
C24.15D6 = C24.15D6φ: D6/C3C22 ⊆ Aut C2496C2^4.15D6192,504
C24.16D6 = C232Dic6φ: D6/C3C22 ⊆ Aut C2496C2^4.16D6192,506
C24.17D6 = C24.17D6φ: D6/C3C22 ⊆ Aut C2496C2^4.17D6192,507
C24.18D6 = C24.18D6φ: D6/C3C22 ⊆ Aut C2496C2^4.18D6192,508
C24.19D6 = C24.19D6φ: D6/C3C22 ⊆ Aut C2496C2^4.19D6192,510
C24.20D6 = C24.20D6φ: D6/C3C22 ⊆ Aut C2496C2^4.20D6192,511
C24.21D6 = C24.21D6φ: D6/C3C22 ⊆ Aut C2496C2^4.21D6192,512
C24.22D6 = C2×C23.6D6φ: D6/C3C22 ⊆ Aut C2448C2^4.22D6192,513
C24.23D6 = C24.23D6φ: D6/C3C22 ⊆ Aut C2496C2^4.23D6192,515
C24.24D6 = C24.24D6φ: D6/C3C22 ⊆ Aut C2496C2^4.24D6192,516
C24.25D6 = C24.25D6φ: D6/C3C22 ⊆ Aut C2496C2^4.25D6192,518
C24.26D6 = C233D12φ: D6/C3C22 ⊆ Aut C2496C2^4.26D6192,519
C24.27D6 = C24.27D6φ: D6/C3C22 ⊆ Aut C2496C2^4.27D6192,520
C24.28D6 = C2×C23.7D6φ: D6/C3C22 ⊆ Aut C2448C2^4.28D6192,778
C24.29D6 = C24.29D6φ: D6/C3C22 ⊆ Aut C2496C2^4.29D6192,779
C24.30D6 = C24.30D6φ: D6/C3C22 ⊆ Aut C2496C2^4.30D6192,780
C24.31D6 = C24.31D6φ: D6/C3C22 ⊆ Aut C2496C2^4.31D6192,781
C24.32D6 = C24.32D6φ: D6/C3C22 ⊆ Aut C2496C2^4.32D6192,782
C24.33D6 = C2×C23.8D6φ: D6/C3C22 ⊆ Aut C2496C2^4.33D6192,1041
C24.34D6 = C233Dic6φ: D6/C3C22 ⊆ Aut C2448C2^4.34D6192,1042
C24.35D6 = C24.35D6φ: D6/C3C22 ⊆ Aut C2448C2^4.35D6192,1045
C24.36D6 = C2×C23.9D6φ: D6/C3C22 ⊆ Aut C2496C2^4.36D6192,1047
C24.37D6 = C2×Dic3⋊D4φ: D6/C3C22 ⊆ Aut C2496C2^4.37D6192,1048
C24.38D6 = C24.38D6φ: D6/C3C22 ⊆ Aut C2448C2^4.38D6192,1049
C24.39D6 = C2×C23.11D6φ: D6/C3C22 ⊆ Aut C2496C2^4.39D6192,1050
C24.40D6 = C234D12φ: D6/C3C22 ⊆ Aut C2448C2^4.40D6192,1052
C24.41D6 = C24.41D6φ: D6/C3C22 ⊆ Aut C2448C2^4.41D6192,1053
C24.42D6 = C24.42D6φ: D6/C3C22 ⊆ Aut C2448C2^4.42D6192,1054
C24.43D6 = C24.43D6φ: D6/C3C22 ⊆ Aut C2448C2^4.43D6192,1146
C24.44D6 = C24.44D6φ: D6/C3C22 ⊆ Aut C2448C2^4.44D6192,1150
C24.45D6 = C24.45D6φ: D6/C3C22 ⊆ Aut C2448C2^4.45D6192,1151
C24.46D6 = C24.46D6φ: D6/C3C22 ⊆ Aut C2448C2^4.46D6192,1152
C24.47D6 = C24.47D6φ: D6/C3C22 ⊆ Aut C2448C2^4.47D6192,1154
C24.48D6 = C2×C23.12D6φ: D6/C3C22 ⊆ Aut C2496C2^4.48D6192,1356
C24.49D6 = C24.49D6φ: D6/C3C22 ⊆ Aut C2448C2^4.49D6192,1357
C24.50D6 = C2×D63D4φ: D6/C3C22 ⊆ Aut C2496C2^4.50D6192,1359
C24.51D6 = C2×C123D4φ: D6/C3C22 ⊆ Aut C2496C2^4.51D6192,1362
C24.52D6 = C24.52D6φ: D6/C3C22 ⊆ Aut C2448C2^4.52D6192,1364
C24.53D6 = C24.53D6φ: D6/C3C22 ⊆ Aut C2448C2^4.53D6192,1365
C24.54D6 = Dic3×C22⋊C4φ: D6/S3C2 ⊆ Aut C2496C2^4.54D6192,500
C24.55D6 = C24.55D6φ: D6/S3C2 ⊆ Aut C2496C2^4.55D6192,501
C24.56D6 = C24.56D6φ: D6/S3C2 ⊆ Aut C2496C2^4.56D6192,502
C24.57D6 = C24.57D6φ: D6/S3C2 ⊆ Aut C2496C2^4.57D6192,505
C24.58D6 = C24.58D6φ: D6/S3C2 ⊆ Aut C2496C2^4.58D6192,509
C24.59D6 = C24.59D6φ: D6/S3C2 ⊆ Aut C2448C2^4.59D6192,514
C24.60D6 = C24.60D6φ: D6/S3C2 ⊆ Aut C2496C2^4.60D6192,517
C24.61D6 = C2×C23.16D6φ: D6/S3C2 ⊆ Aut C2496C2^4.61D6192,1039
C24.62D6 = C2×Dic3.D4φ: D6/S3C2 ⊆ Aut C2496C2^4.62D6192,1040
C24.63D6 = C2×S3×C22⋊C4φ: D6/S3C2 ⊆ Aut C2448C2^4.63D6192,1043
C24.64D6 = C2×Dic34D4φ: D6/S3C2 ⊆ Aut C2496C2^4.64D6192,1044
C24.65D6 = C2×D6⋊D4φ: D6/S3C2 ⊆ Aut C2448C2^4.65D6192,1046
C24.66D6 = C2×C23.21D6φ: D6/S3C2 ⊆ Aut C2496C2^4.66D6192,1051
C24.67D6 = C24.67D6φ: D6/S3C2 ⊆ Aut C2448C2^4.67D6192,1145
C24.68D6 = C2×D4×Dic3φ: D6/S3C2 ⊆ Aut C2496C2^4.68D6192,1354
C24.69D6 = C2×C23.23D6φ: D6/S3C2 ⊆ Aut C2496C2^4.69D6192,1355
C24.70D6 = C2×C23.14D6φ: D6/S3C2 ⊆ Aut C2496C2^4.70D6192,1361
C24.71D6 = C22×D42S3φ: D6/S3C2 ⊆ Aut C2496C2^4.71D6192,1515
C24.72D6 = C4×C6.D4φ: D6/C6C2 ⊆ Aut C2496C2^4.72D6192,768
C24.73D6 = C24.73D6φ: D6/C6C2 ⊆ Aut C2496C2^4.73D6192,769
C24.74D6 = C24.74D6φ: D6/C6C2 ⊆ Aut C2496C2^4.74D6192,770
C24.75D6 = C24.75D6φ: D6/C6C2 ⊆ Aut C2496C2^4.75D6192,771
C24.76D6 = C24.76D6φ: D6/C6C2 ⊆ Aut C2496C2^4.76D6192,772
C24.77D6 = C25.4S3φ: D6/C6C2 ⊆ Aut C2448C2^4.77D6192,806
C24.78D6 = C2×C12.48D4φ: D6/C6C2 ⊆ Aut C2496C2^4.78D6192,1343
C24.79D6 = C2×C23.26D6φ: D6/C6C2 ⊆ Aut C2496C2^4.79D6192,1345
C24.80D6 = C2×C4×C3⋊D4φ: D6/C6C2 ⊆ Aut C2496C2^4.80D6192,1347
C24.81D6 = C2×C23.28D6φ: D6/C6C2 ⊆ Aut C2496C2^4.81D6192,1348
C24.82D6 = C2×C127D4φ: D6/C6C2 ⊆ Aut C2496C2^4.82D6192,1349
C24.83D6 = C24.83D6φ: D6/C6C2 ⊆ Aut C2448C2^4.83D6192,1350
C24.84D6 = C22×C4○D12φ: D6/C6C2 ⊆ Aut C2496C2^4.84D6192,1513
C24.85D6 = C2×C6.C42central extension (φ=1)192C2^4.85D6192,767
C24.86D6 = Dic3×C22×C4central extension (φ=1)192C2^4.86D6192,1341
C24.87D6 = C22×Dic3⋊C4central extension (φ=1)192C2^4.87D6192,1342
C24.88D6 = C22×C4⋊Dic3central extension (φ=1)192C2^4.88D6192,1344
C24.89D6 = C22×D6⋊C4central extension (φ=1)96C2^4.89D6192,1346
C24.90D6 = C22×C6.D4central extension (φ=1)96C2^4.90D6192,1398
C24.91D6 = C23×Dic6central extension (φ=1)192C2^4.91D6192,1510
C24.92D6 = S3×C23×C4central extension (φ=1)96C2^4.92D6192,1511
C24.93D6 = C23×D12central extension (φ=1)96C2^4.93D6192,1512
C24.94D6 = Dic3×C24central extension (φ=1)192C2^4.94D6192,1528

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