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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C3⋊D4

Direct product G=N×Q with N=C22 and Q=C2×C3⋊D4
dρLabelID
C23×C3⋊D496C2^3xC3:D4192,1529

Semidirect products G=N:Q with N=C22 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×C3⋊D4) = C2×A4⋊D4φ: C2×C3⋊D4/C23 → S3 ⊆ Aut C2224C2^2:(C2xC3:D4)192,1488
C22⋊2(C2×C3⋊D4) = C2×C23.14D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C2296C2^2:2(C2xC3:D4)192,1361
C22⋊3(C2×C3⋊D4) = D4×C3⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C2248C2^2:3(C2xC3:D4)192,1360
C22⋊4(C2×C3⋊D4) = C2×C23⋊2D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C2248C2^2:4(C2xC3:D4)192,1358
C22⋊5(C2×C3⋊D4) = C2×C24⋊4S3φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C2248C2^2:5(C2xC3:D4)192,1399

Non-split extensions G=N.Q with N=C22 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C3⋊D4) = (C2×C12)⋊17D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C2296C2^2.1(C2xC3:D4)192,1391
C22.2(C2×C3⋊D4) = C6.1082- 1+4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C2296C2^2.2(C2xC3:D4)192,1392
C22.3(C2×C3⋊D4) = C24.53D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C2248C2^2.3(C2xC3:D4)192,1365
C22.4(C2×C3⋊D4) = C6.1042- 1+4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C2296C2^2.4(C2xC3:D4)192,1383
C22.5(C2×C3⋊D4) = C6.1452+ 1+4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C2248C2^2.5(C2xC3:D4)192,1388
C22.6(C2×C3⋊D4) = D12.32C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C22488+C2^2.6(C2xC3:D4)192,1394
C22.7(C2×C3⋊D4) = D12.33C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C22488-C2^2.7(C2xC3:D4)192,1395
C22.8(C2×C3⋊D4) = D12.34C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C22488+C2^2.8(C2xC3:D4)192,1396
C22.9(C2×C3⋊D4) = D12.35C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C22968-C2^2.9(C2xC3:D4)192,1397
C22.10(C2×C3⋊D4) = C2×C23.7D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C2248C2^2.10(C2xC3:D4)192,778
C22.11(C2×C3⋊D4) = C2×Q8⋊3Dic3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C2248C2^2.11(C2xC3:D4)192,794
C22.12(C2×C3⋊D4) = (C6×D4)⋊9C4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22484C2^2.12(C2xC3:D4)192,795
C22.13(C2×C3⋊D4) = (C6×D4)⋊10C4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22484C2^2.13(C2xC3:D4)192,799
C22.14(C2×C3⋊D4) = 2+ 1+4⋊6S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22248+C2^2.14(C2xC3:D4)192,800
C22.15(C2×C3⋊D4) = 2+ 1+4.4S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22488-C2^2.15(C2xC3:D4)192,801
C22.16(C2×C3⋊D4) = 2+ 1+4.5S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22488-C2^2.16(C2xC3:D4)192,802
C22.17(C2×C3⋊D4) = 2+ 1+4⋊7S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22248+C2^2.17(C2xC3:D4)192,803
C22.18(C2×C3⋊D4) = 2- 1+4⋊4S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22488+C2^2.18(C2xC3:D4)192,804
C22.19(C2×C3⋊D4) = 2- 1+4.2S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22488-C2^2.19(C2xC3:D4)192,805
C22.20(C2×C3⋊D4) = C24⋊12D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C2248C2^2.20(C2xC3:D4)192,1363
C22.21(C2×C3⋊D4) = C12.C24φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C22484C2^2.21(C2xC3:D4)192,1381
C22.22(C2×C3⋊D4) = C6.1052- 1+4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C2296C2^2.22(C2xC3:D4)192,1384
C22.23(C2×C3⋊D4) = (C2×D4)⋊43D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C2248C2^2.23(C2xC3:D4)192,1387
C22.24(C2×C3⋊D4) = C6.1462+ 1+4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C2248C2^2.24(C2xC3:D4)192,1389
C22.25(C2×C3⋊D4) = C2×C42⋊4S3φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C2248C2^2.25(C2xC3:D4)192,486
C22.26(C2×C3⋊D4) = C2×C23.6D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C2248C2^2.26(C2xC3:D4)192,513
C22.27(C2×C3⋊D4) = C42⋊6D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22484C2^2.27(C2xC3:D4)192,564
C22.28(C2×C3⋊D4) = (C2×D12)⋊13C4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22484C2^2.28(C2xC3:D4)192,565
C22.29(C2×C3⋊D4) = C24⋊6D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22244C2^2.29(C2xC3:D4)192,591
C22.30(C2×C3⋊D4) = C22⋊C4⋊D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22484C2^2.30(C2xC3:D4)192,612
C22.31(C2×C3⋊D4) = C42⋊7D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22484C2^2.31(C2xC3:D4)192,620
C22.32(C2×C3⋊D4) = D12.14D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22484C2^2.32(C2xC3:D4)192,621
C22.33(C2×C3⋊D4) = C42⋊8D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22244C2^2.33(C2xC3:D4)192,636
C22.34(C2×C3⋊D4) = D12.15D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C22484C2^2.34(C2xC3:D4)192,654
C22.35(C2×C3⋊D4) = C24.83D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C2248C2^2.35(C2xC3:D4)192,1350
C22.36(C2×C3⋊D4) = C24.52D6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C2248C2^2.36(C2xC3:D4)192,1364
C22.37(C2×C3⋊D4) = C6.442- 1+4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C2296C2^2.37(C2xC3:D4)192,1375
C22.38(C2×C3⋊D4) = C12⋊4(C4⋊C4)central extension (φ=1)192C2^2.38(C2xC3:D4)192,487
C22.39(C2×C3⋊D4) = (C2×Dic6)⋊7C4central extension (φ=1)192C2^2.39(C2xC3:D4)192,488
C22.40(C2×C3⋊D4) = C4×Dic3⋊C4central extension (φ=1)192C2^2.40(C2xC3:D4)192,490
C22.41(C2×C3⋊D4) = (C2×C42).6S3central extension (φ=1)192C2^2.41(C2xC3:D4)192,492
C22.42(C2×C3⋊D4) = C4×D6⋊C4central extension (φ=1)96C2^2.42(C2xC3:D4)192,497
C22.43(C2×C3⋊D4) = (C2×C4)⋊6D12central extension (φ=1)96C2^2.43(C2xC3:D4)192,498
C22.44(C2×C3⋊D4) = (C2×C42)⋊3S3central extension (φ=1)96C2^2.44(C2xC3:D4)192,499
C22.45(C2×C3⋊D4) = C24.55D6central extension (φ=1)96C2^2.45(C2xC3:D4)192,501
C22.46(C2×C3⋊D4) = C24.56D6central extension (φ=1)96C2^2.46(C2xC3:D4)192,502
C22.47(C2×C3⋊D4) = C24.14D6central extension (φ=1)96C2^2.47(C2xC3:D4)192,503
C22.48(C2×C3⋊D4) = C24.15D6central extension (φ=1)96C2^2.48(C2xC3:D4)192,504
C22.49(C2×C3⋊D4) = C24.57D6central extension (φ=1)96C2^2.49(C2xC3:D4)192,505
C22.50(C2×C3⋊D4) = C24.59D6central extension (φ=1)48C2^2.50(C2xC3:D4)192,514
C22.51(C2×C3⋊D4) = C24.23D6central extension (φ=1)96C2^2.51(C2xC3:D4)192,515
C22.52(C2×C3⋊D4) = C24.24D6central extension (φ=1)96C2^2.52(C2xC3:D4)192,516
C22.53(C2×C3⋊D4) = C24.60D6central extension (φ=1)96C2^2.53(C2xC3:D4)192,517
C22.54(C2×C3⋊D4) = C2×C6.Q16central extension (φ=1)192C2^2.54(C2xC3:D4)192,521
C22.55(C2×C3⋊D4) = C2×C12.Q8central extension (φ=1)192C2^2.55(C2xC3:D4)192,522
C22.56(C2×C3⋊D4) = C4⋊C4.225D6central extension (φ=1)96C2^2.56(C2xC3:D4)192,523
C22.57(C2×C3⋊D4) = C2×C6.D8central extension (φ=1)96C2^2.57(C2xC3:D4)192,524
C22.58(C2×C3⋊D4) = C4○D12⋊C4central extension (φ=1)96C2^2.58(C2xC3:D4)192,525
C22.59(C2×C3⋊D4) = C2×C6.SD16central extension (φ=1)192C2^2.59(C2xC3:D4)192,528
C22.60(C2×C3⋊D4) = C12⋊(C4⋊C4)central extension (φ=1)192C2^2.60(C2xC3:D4)192,531
C22.61(C2×C3⋊D4) = C4.(D6⋊C4)central extension (φ=1)192C2^2.61(C2xC3:D4)192,532
C22.62(C2×C3⋊D4) = (C4×Dic3)⋊8C4central extension (φ=1)192C2^2.62(C2xC3:D4)192,534
C22.63(C2×C3⋊D4) = Dic3⋊(C4⋊C4)central extension (φ=1)192C2^2.63(C2xC3:D4)192,535
C22.64(C2×C3⋊D4) = (C4×Dic3)⋊9C4central extension (φ=1)192C2^2.64(C2xC3:D4)192,536
C22.65(C2×C3⋊D4) = C6.67(C4×D4)central extension (φ=1)192C2^2.65(C2xC3:D4)192,537
C22.66(C2×C3⋊D4) = C4⋊(D6⋊C4)central extension (φ=1)96C2^2.66(C2xC3:D4)192,546
C22.67(C2×C3⋊D4) = (C2×D12)⋊10C4central extension (φ=1)96C2^2.67(C2xC3:D4)192,547
C22.68(C2×C3⋊D4) = D6⋊C4⋊6C4central extension (φ=1)96C2^2.68(C2xC3:D4)192,548
C22.69(C2×C3⋊D4) = D6⋊C4⋊7C4central extension (φ=1)96C2^2.69(C2xC3:D4)192,549
C22.70(C2×C3⋊D4) = C4⋊C4.232D6central extension (φ=1)96C2^2.70(C2xC3:D4)192,554
C22.71(C2×C3⋊D4) = C4⋊C4.234D6central extension (φ=1)96C2^2.71(C2xC3:D4)192,557
C22.72(C2×C3⋊D4) = C4⋊C4⋊36D6central extension (φ=1)48C2^2.72(C2xC3:D4)192,560
C22.73(C2×C3⋊D4) = C4.(C2×D12)central extension (φ=1)96C2^2.73(C2xC3:D4)192,561
C22.74(C2×C3⋊D4) = C4⋊C4.237D6central extension (φ=1)96C2^2.74(C2xC3:D4)192,563
C22.75(C2×C3⋊D4) = C4×D4⋊S3central extension (φ=1)96C2^2.75(C2xC3:D4)192,572
C22.76(C2×C3⋊D4) = C42.48D6central extension (φ=1)96C2^2.76(C2xC3:D4)192,573
C22.77(C2×C3⋊D4) = C4×D4.S3central extension (φ=1)96C2^2.77(C2xC3:D4)192,576
C22.78(C2×C3⋊D4) = C42.51D6central extension (φ=1)96C2^2.78(C2xC3:D4)192,577
C22.79(C2×C3⋊D4) = C4×Q8⋊2S3central extension (φ=1)96C2^2.79(C2xC3:D4)192,584
C22.80(C2×C3⋊D4) = C42.56D6central extension (φ=1)96C2^2.80(C2xC3:D4)192,585
C22.81(C2×C3⋊D4) = C4×C3⋊Q16central extension (φ=1)192C2^2.81(C2xC3:D4)192,588
C22.82(C2×C3⋊D4) = C42.59D6central extension (φ=1)192C2^2.82(C2xC3:D4)192,589
C22.83(C2×C3⋊D4) = C2×C6.C42central extension (φ=1)192C2^2.83(C2xC3:D4)192,767
C22.84(C2×C3⋊D4) = C4×C6.D4central extension (φ=1)96C2^2.84(C2xC3:D4)192,768
C22.85(C2×C3⋊D4) = C24.73D6central extension (φ=1)96C2^2.85(C2xC3:D4)192,769
C22.86(C2×C3⋊D4) = C24.74D6central extension (φ=1)96C2^2.86(C2xC3:D4)192,770
C22.87(C2×C3⋊D4) = C24.75D6central extension (φ=1)96C2^2.87(C2xC3:D4)192,771
C22.88(C2×C3⋊D4) = C24.76D6central extension (φ=1)96C2^2.88(C2xC3:D4)192,772
C22.89(C2×C3⋊D4) = C2×D4⋊Dic3central extension (φ=1)96C2^2.89(C2xC3:D4)192,773
C22.90(C2×C3⋊D4) = (C6×D4)⋊6C4central extension (φ=1)48C2^2.90(C2xC3:D4)192,774
C22.91(C2×C3⋊D4) = C24.29D6central extension (φ=1)96C2^2.91(C2xC3:D4)192,779
C22.92(C2×C3⋊D4) = C24.30D6central extension (φ=1)96C2^2.92(C2xC3:D4)192,780
C22.93(C2×C3⋊D4) = C2×Q8⋊2Dic3central extension (φ=1)192C2^2.93(C2xC3:D4)192,783
C22.94(C2×C3⋊D4) = (C6×Q8)⋊6C4central extension (φ=1)96C2^2.94(C2xC3:D4)192,784
C22.95(C2×C3⋊D4) = (C6×Q8)⋊7C4central extension (φ=1)192C2^2.95(C2xC3:D4)192,788
C22.96(C2×C3⋊D4) = C4○D4⋊3Dic3central extension (φ=1)96C2^2.96(C2xC3:D4)192,791
C22.97(C2×C3⋊D4) = C4○D4⋊4Dic3central extension (φ=1)96C2^2.97(C2xC3:D4)192,792
C22.98(C2×C3⋊D4) = C25.4S3central extension (φ=1)48C2^2.98(C2xC3:D4)192,806
C22.99(C2×C3⋊D4) = C22×Dic3⋊C4central extension (φ=1)192C2^2.99(C2xC3:D4)192,1342
C22.100(C2×C3⋊D4) = C2×C12.48D4central extension (φ=1)96C2^2.100(C2xC3:D4)192,1343
C22.101(C2×C3⋊D4) = C22×D6⋊C4central extension (φ=1)96C2^2.101(C2xC3:D4)192,1346
C22.102(C2×C3⋊D4) = C2×C4×C3⋊D4central extension (φ=1)96C2^2.102(C2xC3:D4)192,1347
C22.103(C2×C3⋊D4) = C2×C23.28D6central extension (φ=1)96C2^2.103(C2xC3:D4)192,1348
C22.104(C2×C3⋊D4) = C2×C12⋊7D4central extension (φ=1)96C2^2.104(C2xC3:D4)192,1349
C22.105(C2×C3⋊D4) = C22×D4⋊S3central extension (φ=1)96C2^2.105(C2xC3:D4)192,1351
C22.106(C2×C3⋊D4) = C2×D12⋊6C22central extension (φ=1)48C2^2.106(C2xC3:D4)192,1352
C22.107(C2×C3⋊D4) = C22×D4.S3central extension (φ=1)96C2^2.107(C2xC3:D4)192,1353
C22.108(C2×C3⋊D4) = C2×C23.23D6central extension (φ=1)96C2^2.108(C2xC3:D4)192,1355
C22.109(C2×C3⋊D4) = C2×C23.12D6central extension (φ=1)96C2^2.109(C2xC3:D4)192,1356
C22.110(C2×C3⋊D4) = C2×D6⋊3D4central extension (φ=1)96C2^2.110(C2xC3:D4)192,1359
C22.111(C2×C3⋊D4) = C2×C12⋊3D4central extension (φ=1)96C2^2.111(C2xC3:D4)192,1362
C22.112(C2×C3⋊D4) = C22×Q8⋊2S3central extension (φ=1)96C2^2.112(C2xC3:D4)192,1366
C22.113(C2×C3⋊D4) = C2×Q8.11D6central extension (φ=1)96C2^2.113(C2xC3:D4)192,1367
C22.114(C2×C3⋊D4) = C22×C3⋊Q16central extension (φ=1)192C2^2.114(C2xC3:D4)192,1368
C22.115(C2×C3⋊D4) = C2×Dic3⋊Q8central extension (φ=1)192C2^2.115(C2xC3:D4)192,1369
C22.116(C2×C3⋊D4) = C2×D6⋊3Q8central extension (φ=1)96C2^2.116(C2xC3:D4)192,1372
C22.117(C2×C3⋊D4) = C2×C12.23D4central extension (φ=1)96C2^2.117(C2xC3:D4)192,1373
C22.118(C2×C3⋊D4) = C2×D4⋊D6central extension (φ=1)48C2^2.118(C2xC3:D4)192,1379
C22.119(C2×C3⋊D4) = C2×Q8.13D6central extension (φ=1)96C2^2.119(C2xC3:D4)192,1380
C22.120(C2×C3⋊D4) = C2×Q8.14D6central extension (φ=1)96C2^2.120(C2xC3:D4)192,1382
C22.121(C2×C3⋊D4) = C22×C6.D4central extension (φ=1)96C2^2.121(C2xC3:D4)192,1398
C22.122(C2×C3⋊D4) = C23⋊2Dic6central stem extension (φ=1)96C2^2.122(C2xC3:D4)192,506
C22.123(C2×C3⋊D4) = C24.17D6central stem extension (φ=1)96C2^2.123(C2xC3:D4)192,507
C22.124(C2×C3⋊D4) = C24.18D6central stem extension (φ=1)96C2^2.124(C2xC3:D4)192,508
C22.125(C2×C3⋊D4) = C24.20D6central stem extension (φ=1)96C2^2.125(C2xC3:D4)192,511
C22.126(C2×C3⋊D4) = C24.21D6central stem extension (φ=1)96C2^2.126(C2xC3:D4)192,512
C22.127(C2×C3⋊D4) = C24.25D6central stem extension (φ=1)96C2^2.127(C2xC3:D4)192,518
C22.128(C2×C3⋊D4) = C23⋊3D12central stem extension (φ=1)96C2^2.128(C2xC3:D4)192,519
C22.129(C2×C3⋊D4) = C24.27D6central stem extension (φ=1)96C2^2.129(C2xC3:D4)192,520
C22.130(C2×C3⋊D4) = (C2×C6).40D8central stem extension (φ=1)96C2^2.130(C2xC3:D4)192,526
C22.131(C2×C3⋊D4) = C4⋊C4.228D6central stem extension (φ=1)96C2^2.131(C2xC3:D4)192,527
C22.132(C2×C3⋊D4) = C4⋊C4.230D6central stem extension (φ=1)96C2^2.132(C2xC3:D4)192,529
C22.133(C2×C3⋊D4) = C4⋊C4.231D6central stem extension (φ=1)96C2^2.133(C2xC3:D4)192,530
C22.134(C2×C3⋊D4) = (C2×Dic3)⋊Q8central stem extension (φ=1)192C2^2.134(C2xC3:D4)192,538
C22.135(C2×C3⋊D4) = (C2×C4).44D12central stem extension (φ=1)192C2^2.135(C2xC3:D4)192,540
C22.136(C2×C3⋊D4) = (C2×C12).54D4central stem extension (φ=1)192C2^2.136(C2xC3:D4)192,541
C22.137(C2×C3⋊D4) = (C2×Dic3).Q8central stem extension (φ=1)192C2^2.137(C2xC3:D4)192,542
C22.138(C2×C3⋊D4) = (C2×C12).288D4central stem extension (φ=1)192C2^2.138(C2xC3:D4)192,544
C22.139(C2×C3⋊D4) = (C2×C12).55D4central stem extension (φ=1)192C2^2.139(C2xC3:D4)192,545
C22.140(C2×C3⋊D4) = (C2×C4)⋊3D12central stem extension (φ=1)96C2^2.140(C2xC3:D4)192,550
C22.141(C2×C3⋊D4) = (C2×C12).289D4central stem extension (φ=1)96C2^2.141(C2xC3:D4)192,551
C22.142(C2×C3⋊D4) = (C2×C12).290D4central stem extension (φ=1)96C2^2.142(C2xC3:D4)192,552
C22.143(C2×C3⋊D4) = (C2×C12).56D4central stem extension (φ=1)96C2^2.143(C2xC3:D4)192,553
C22.144(C2×C3⋊D4) = C4⋊C4.233D6central stem extension (φ=1)96C2^2.144(C2xC3:D4)192,555
C22.145(C2×C3⋊D4) = C4⋊C4.236D6central stem extension (φ=1)96C2^2.145(C2xC3:D4)192,562
C22.146(C2×C3⋊D4) = C12.50D8central stem extension (φ=1)96C2^2.146(C2xC3:D4)192,566
C22.147(C2×C3⋊D4) = C12.38SD16central stem extension (φ=1)96C2^2.147(C2xC3:D4)192,567
C22.148(C2×C3⋊D4) = D4.3Dic6central stem extension (φ=1)96C2^2.148(C2xC3:D4)192,568
C22.149(C2×C3⋊D4) = C12⋊7D8central stem extension (φ=1)96C2^2.149(C2xC3:D4)192,574
C22.150(C2×C3⋊D4) = D4.1D12central stem extension (φ=1)96C2^2.150(C2xC3:D4)192,575
C22.151(C2×C3⋊D4) = D4.2D12central stem extension (φ=1)96C2^2.151(C2xC3:D4)192,578
C22.152(C2×C3⋊D4) = Q8⋊4Dic6central stem extension (φ=1)192C2^2.152(C2xC3:D4)192,579
C22.153(C2×C3⋊D4) = Q8⋊5Dic6central stem extension (φ=1)192C2^2.153(C2xC3:D4)192,580
C22.154(C2×C3⋊D4) = Q8.5Dic6central stem extension (φ=1)192C2^2.154(C2xC3:D4)192,581
C22.155(C2×C3⋊D4) = Q8⋊2D12central stem extension (φ=1)96C2^2.155(C2xC3:D4)192,586
C22.156(C2×C3⋊D4) = Q8.6D12central stem extension (φ=1)96C2^2.156(C2xC3:D4)192,587
C22.157(C2×C3⋊D4) = C12⋊7Q16central stem extension (φ=1)192C2^2.157(C2xC3:D4)192,590
C22.158(C2×C3⋊D4) = (C2×C6).D8central stem extension (φ=1)96C2^2.158(C2xC3:D4)192,592
C22.159(C2×C3⋊D4) = C4⋊D4.S3central stem extension (φ=1)96C2^2.159(C2xC3:D4)192,593
C22.160(C2×C3⋊D4) = C6.Q16⋊C2central stem extension (φ=1)96C2^2.160(C2xC3:D4)192,594
C22.161(C2×C3⋊D4) = D12⋊16D4central stem extension (φ=1)48C2^2.161(C2xC3:D4)192,595
C22.162(C2×C3⋊D4) = D12⋊17D4central stem extension (φ=1)96C2^2.162(C2xC3:D4)192,596
C22.163(C2×C3⋊D4) = C3⋊C8⋊22D4central stem extension (φ=1)96C2^2.163(C2xC3:D4)192,597
C22.164(C2×C3⋊D4) = C4⋊D4⋊S3central stem extension (φ=1)96C2^2.164(C2xC3:D4)192,598
C22.165(C2×C3⋊D4) = Dic6⋊17D4central stem extension (φ=1)96C2^2.165(C2xC3:D4)192,599
C22.166(C2×C3⋊D4) = C3⋊C8⋊23D4central stem extension (φ=1)96C2^2.166(C2xC3:D4)192,600
C22.167(C2×C3⋊D4) = C3⋊C8⋊5D4central stem extension (φ=1)96C2^2.167(C2xC3:D4)192,601
C22.168(C2×C3⋊D4) = (C2×Q8).49D6central stem extension (φ=1)96C2^2.168(C2xC3:D4)192,602
C22.169(C2×C3⋊D4) = (C2×C6).Q16central stem extension (φ=1)96C2^2.169(C2xC3:D4)192,603
C22.170(C2×C3⋊D4) = (C2×Q8).51D6central stem extension (φ=1)96C2^2.170(C2xC3:D4)192,604
C22.171(C2×C3⋊D4) = D12.36D4central stem extension (φ=1)48C2^2.171(C2xC3:D4)192,605
C22.172(C2×C3⋊D4) = D12.37D4central stem extension (φ=1)96C2^2.172(C2xC3:D4)192,606
C22.173(C2×C3⋊D4) = C3⋊C8⋊24D4central stem extension (φ=1)96C2^2.173(C2xC3:D4)192,607
C22.174(C2×C3⋊D4) = C3⋊C8⋊6D4central stem extension (φ=1)96C2^2.174(C2xC3:D4)192,608
C22.175(C2×C3⋊D4) = Dic6.37D4central stem extension (φ=1)96C2^2.175(C2xC3:D4)192,609
C22.176(C2×C3⋊D4) = C3⋊C8.29D4central stem extension (φ=1)96C2^2.176(C2xC3:D4)192,610
C22.177(C2×C3⋊D4) = C3⋊C8.6D4central stem extension (φ=1)96C2^2.177(C2xC3:D4)192,611
C22.178(C2×C3⋊D4) = C42.61D6central stem extension (φ=1)96C2^2.178(C2xC3:D4)192,613
C22.179(C2×C3⋊D4) = C42.62D6central stem extension (φ=1)96C2^2.179(C2xC3:D4)192,614
C22.180(C2×C3⋊D4) = C42.213D6central stem extension (φ=1)96C2^2.180(C2xC3:D4)192,615
C22.181(C2×C3⋊D4) = D12.23D4central stem extension (φ=1)96C2^2.181(C2xC3:D4)192,616
C22.182(C2×C3⋊D4) = C42.64D6central stem extension (φ=1)96C2^2.182(C2xC3:D4)192,617
C22.183(C2×C3⋊D4) = C42.214D6central stem extension (φ=1)96C2^2.183(C2xC3:D4)192,618
C22.184(C2×C3⋊D4) = C42.65D6central stem extension (φ=1)96C2^2.184(C2xC3:D4)192,619
C22.185(C2×C3⋊D4) = Dic6.4Q8central stem extension (φ=1)192C2^2.185(C2xC3:D4)192,622
C22.186(C2×C3⋊D4) = C42.68D6central stem extension (φ=1)192C2^2.186(C2xC3:D4)192,623
C22.187(C2×C3⋊D4) = C42.215D6central stem extension (φ=1)192C2^2.187(C2xC3:D4)192,624
C22.188(C2×C3⋊D4) = D12.4Q8central stem extension (φ=1)96C2^2.188(C2xC3:D4)192,625
C22.189(C2×C3⋊D4) = C42.70D6central stem extension (φ=1)96C2^2.189(C2xC3:D4)192,626
C22.190(C2×C3⋊D4) = C42.216D6central stem extension (φ=1)96C2^2.190(C2xC3:D4)192,627
C22.191(C2×C3⋊D4) = C42.71D6central stem extension (φ=1)192C2^2.191(C2xC3:D4)192,628
C22.192(C2×C3⋊D4) = C12.16D8central stem extension (φ=1)96C2^2.192(C2xC3:D4)192,629
C22.193(C2×C3⋊D4) = C42.72D6central stem extension (φ=1)96C2^2.193(C2xC3:D4)192,630
C22.194(C2×C3⋊D4) = C12⋊2D8central stem extension (φ=1)96C2^2.194(C2xC3:D4)192,631
C22.195(C2×C3⋊D4) = C12⋊D8central stem extension (φ=1)96C2^2.195(C2xC3:D4)192,632
C22.196(C2×C3⋊D4) = C42.74D6central stem extension (φ=1)96C2^2.196(C2xC3:D4)192,633
C22.197(C2×C3⋊D4) = Dic6⋊9D4central stem extension (φ=1)96C2^2.197(C2xC3:D4)192,634
C22.198(C2×C3⋊D4) = C12⋊4SD16central stem extension (φ=1)96C2^2.198(C2xC3:D4)192,635
C22.199(C2×C3⋊D4) = C12.17D8central stem extension (φ=1)192C2^2.199(C2xC3:D4)192,637
C22.200(C2×C3⋊D4) = C12.9Q16central stem extension (φ=1)192C2^2.200(C2xC3:D4)192,638
C22.201(C2×C3⋊D4) = C12.SD16central stem extension (φ=1)192C2^2.201(C2xC3:D4)192,639
C22.202(C2×C3⋊D4) = C42.76D6central stem extension (φ=1)192C2^2.202(C2xC3:D4)192,640
C22.203(C2×C3⋊D4) = C42.77D6central stem extension (φ=1)192C2^2.203(C2xC3:D4)192,641
C22.204(C2×C3⋊D4) = C12⋊5SD16central stem extension (φ=1)96C2^2.204(C2xC3:D4)192,642
C22.205(C2×C3⋊D4) = D12⋊5Q8central stem extension (φ=1)96C2^2.205(C2xC3:D4)192,643
C22.206(C2×C3⋊D4) = C12⋊6SD16central stem extension (φ=1)96C2^2.206(C2xC3:D4)192,644
C22.207(C2×C3⋊D4) = C42.80D6central stem extension (φ=1)96C2^2.207(C2xC3:D4)192,645
C22.208(C2×C3⋊D4) = D12⋊6Q8central stem extension (φ=1)96C2^2.208(C2xC3:D4)192,646
C22.209(C2×C3⋊D4) = C12.D8central stem extension (φ=1)96C2^2.209(C2xC3:D4)192,647
C22.210(C2×C3⋊D4) = C42.82D6central stem extension (φ=1)96C2^2.210(C2xC3:D4)192,648
C22.211(C2×C3⋊D4) = C12⋊Q16central stem extension (φ=1)192C2^2.211(C2xC3:D4)192,649
C22.212(C2×C3⋊D4) = Dic6⋊5Q8central stem extension (φ=1)192C2^2.212(C2xC3:D4)192,650
C22.213(C2×C3⋊D4) = C12⋊3Q16central stem extension (φ=1)192C2^2.213(C2xC3:D4)192,651
C22.214(C2×C3⋊D4) = C12.Q16central stem extension (φ=1)192C2^2.214(C2xC3:D4)192,652
C22.215(C2×C3⋊D4) = Dic6⋊6Q8central stem extension (φ=1)192C2^2.215(C2xC3:D4)192,653
C22.216(C2×C3⋊D4) = (C2×C6)⋊8D8central stem extension (φ=1)48C2^2.216(C2xC3:D4)192,776
C22.217(C2×C3⋊D4) = (C3×D4).31D4central stem extension (φ=1)48C2^2.217(C2xC3:D4)192,777
C22.218(C2×C3⋊D4) = C24.31D6central stem extension (φ=1)96C2^2.218(C2xC3:D4)192,781
C22.219(C2×C3⋊D4) = C24.32D6central stem extension (φ=1)96C2^2.219(C2xC3:D4)192,782
C22.220(C2×C3⋊D4) = (C3×Q8)⋊13D4central stem extension (φ=1)96C2^2.220(C2xC3:D4)192,786
C22.221(C2×C3⋊D4) = (C2×C6)⋊8Q16central stem extension (φ=1)96C2^2.221(C2xC3:D4)192,787
C22.222(C2×C3⋊D4) = C22.52(S3×Q8)central stem extension (φ=1)192C2^2.222(C2xC3:D4)192,789
C22.223(C2×C3⋊D4) = (C22×Q8)⋊9S3central stem extension (φ=1)96C2^2.223(C2xC3:D4)192,790
C22.224(C2×C3⋊D4) = (C3×D4)⋊14D4central stem extension (φ=1)96C2^2.224(C2xC3:D4)192,797
C22.225(C2×C3⋊D4) = (C3×D4).32D4central stem extension (φ=1)96C2^2.225(C2xC3:D4)192,798

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