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Extensions 1→N→G→Q→1 with N=C12 and Q=C22×C4

Direct product G=N×Q with N=C12 and Q=C22×C4
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C12 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C12⋊1(C22×C4) = C4×S3×D4φ: C22×C4/C4 → C22 ⊆ Aut C1248C12:1(C2^2xC4)192,1103
C12⋊2(C22×C4) = C2×S3×C4⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12:2(C2^2xC4)192,1060
C12⋊3(C22×C4) = C2×Dic3⋊5D4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12:3(C2^2xC4)192,1062
C12⋊4(C22×C4) = C2×D4×Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12:4(C2^2xC4)192,1354
C12⋊5(C22×C4) = C2×C4×D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12:5(C2^2xC4)192,1032
C12⋊6(C22×C4) = S3×C2×C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12:6(C2^2xC4)192,1030
C12⋊7(C22×C4) = D4×C2×C12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12:7(C2^2xC4)192,1404
C12⋊8(C22×C4) = C22×C4⋊Dic3φ: C22×C4/C23 → C2 ⊆ Aut C12192C12:8(C2^2xC4)192,1344
C12⋊9(C22×C4) = Dic3×C22×C4φ: C22×C4/C23 → C2 ⊆ Aut C12192C12:9(C2^2xC4)192,1341
C12⋊10(C22×C4) = C2×C6×C4⋊C4φ: C22×C4/C23 → C2 ⊆ Aut C12192C12:10(C2^2xC4)192,1402

Non-split extensions G=N.Q with N=C12 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C12.1(C22×C4) = Dic3⋊4D8φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.1(C2^2xC4)192,315
C12.2(C22×C4) = D4.S3⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.2(C2^2xC4)192,316
C12.3(C22×C4) = Dic3⋊6SD16φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.3(C2^2xC4)192,317
C12.4(C22×C4) = S3×D4⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C1248C12.4(C2^2xC4)192,328
C12.5(C22×C4) = C4⋊C4⋊19D6φ: C22×C4/C4 → C22 ⊆ Aut C1248C12.5(C2^2xC4)192,329
C12.6(C22×C4) = D4⋊(C4×S3)φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.6(C2^2xC4)192,330
C12.7(C22×C4) = D4⋊2S3⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.7(C2^2xC4)192,331
C12.8(C22×C4) = D4⋊S3⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.8(C2^2xC4)192,344
C12.9(C22×C4) = Dic3⋊7SD16φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.9(C2^2xC4)192,347
C12.10(C22×C4) = C3⋊Q16⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C12192C12.10(C2^2xC4)192,348
C12.11(C22×C4) = Dic3⋊4Q16φ: C22×C4/C4 → C22 ⊆ Aut C12192C12.11(C2^2xC4)192,349
C12.12(C22×C4) = S3×Q8⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.12(C2^2xC4)192,360
C12.13(C22×C4) = (S3×Q8)⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.13(C2^2xC4)192,361
C12.14(C22×C4) = Q8⋊7(C4×S3)φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.14(C2^2xC4)192,362
C12.15(C22×C4) = C4⋊C4.150D6φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.15(C2^2xC4)192,363
C12.16(C22×C4) = Q8⋊3(C4×S3)φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.16(C2^2xC4)192,376
C12.17(C22×C4) = S3×C4≀C2φ: C22×C4/C4 → C22 ⊆ Aut C12244C12.17(C2^2xC4)192,379
C12.18(C22×C4) = C42⋊3D6φ: C22×C4/C4 → C22 ⊆ Aut C12484C12.18(C2^2xC4)192,380
C12.19(C22×C4) = M4(2).22D6φ: C22×C4/C4 → C22 ⊆ Aut C12484C12.19(C2^2xC4)192,382
C12.20(C22×C4) = C42.196D6φ: C22×C4/C4 → C22 ⊆ Aut C12484C12.20(C2^2xC4)192,383
C12.21(C22×C4) = C4×D4⋊S3φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.21(C2^2xC4)192,572
C12.22(C22×C4) = C42.48D6φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.22(C2^2xC4)192,573
C12.23(C22×C4) = C4×D4.S3φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.23(C2^2xC4)192,576
C12.24(C22×C4) = C42.51D6φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.24(C2^2xC4)192,577
C12.25(C22×C4) = C4×Q8⋊2S3φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.25(C2^2xC4)192,584
C12.26(C22×C4) = C42.56D6φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.26(C2^2xC4)192,585
C12.27(C22×C4) = C4×C3⋊Q16φ: C22×C4/C4 → C22 ⊆ Aut C12192C12.27(C2^2xC4)192,588
C12.28(C22×C4) = C42.59D6φ: C22×C4/C4 → C22 ⊆ Aut C12192C12.28(C2^2xC4)192,589
C12.29(C22×C4) = C24.100D4φ: C22×C4/C4 → C22 ⊆ Aut C12484C12.29(C2^2xC4)192,703
C12.30(C22×C4) = C24.54D4φ: C22×C4/C4 → C22 ⊆ Aut C12484C12.30(C2^2xC4)192,704
C12.31(C22×C4) = C4×D4⋊2S3φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.31(C2^2xC4)192,1095
C12.32(C22×C4) = C42⋊13D6φ: C22×C4/C4 → C22 ⊆ Aut C1248C12.32(C2^2xC4)192,1104
C12.33(C22×C4) = C42.108D6φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.33(C2^2xC4)192,1105
C12.34(C22×C4) = C4×S3×Q8φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.34(C2^2xC4)192,1130
C12.35(C22×C4) = C42.125D6φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.35(C2^2xC4)192,1131
C12.36(C22×C4) = C4×Q8⋊3S3φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.36(C2^2xC4)192,1132
C12.37(C22×C4) = C42.126D6φ: C22×C4/C4 → C22 ⊆ Aut C1296C12.37(C2^2xC4)192,1133
C12.38(C22×C4) = S3×C8○D4φ: C22×C4/C4 → C22 ⊆ Aut C12484C12.38(C2^2xC4)192,1308
C12.39(C22×C4) = M4(2)⋊28D6φ: C22×C4/C4 → C22 ⊆ Aut C12484C12.39(C2^2xC4)192,1309
C12.40(C22×C4) = Dic3⋊8SD16φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.40(C2^2xC4)192,411
C12.41(C22×C4) = Dic12⋊9C4φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.41(C2^2xC4)192,412
C12.42(C22×C4) = S3×C4.Q8φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.42(C2^2xC4)192,418
C12.43(C22×C4) = (S3×C8)⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.43(C2^2xC4)192,419
C12.44(C22×C4) = C8⋊(C4×S3)φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.44(C2^2xC4)192,420
C12.45(C22×C4) = D24⋊9C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.45(C2^2xC4)192,428
C12.46(C22×C4) = Dic3⋊5D8φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.46(C2^2xC4)192,431
C12.47(C22×C4) = Dic3⋊5Q16φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.47(C2^2xC4)192,432
C12.48(C22×C4) = S3×C2.D8φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.48(C2^2xC4)192,438
C12.49(C22×C4) = C8.27(C4×S3)φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.49(C2^2xC4)192,439
C12.50(C22×C4) = C8⋊S3⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.50(C2^2xC4)192,440
C12.51(C22×C4) = C24⋊C2⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.51(C2^2xC4)192,448
C12.52(C22×C4) = S3×C8.C4φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.52(C2^2xC4)192,451
C12.53(C22×C4) = M4(2).25D6φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.53(C2^2xC4)192,452
C12.54(C22×C4) = D24⋊10C4φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.54(C2^2xC4)192,453
C12.55(C22×C4) = D24⋊7C4φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.55(C2^2xC4)192,454
C12.56(C22×C4) = C2×C6.Q16φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.56(C2^2xC4)192,521
C12.57(C22×C4) = C2×C12.Q8φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.57(C2^2xC4)192,522
C12.58(C22×C4) = C4⋊C4.225D6φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.58(C2^2xC4)192,523
C12.59(C22×C4) = C2×C6.D8φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.59(C2^2xC4)192,524
C12.60(C22×C4) = C4○D12⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.60(C2^2xC4)192,525
C12.61(C22×C4) = C2×C6.SD16φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.61(C2^2xC4)192,528
C12.62(C22×C4) = C4⋊C4.232D6φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.62(C2^2xC4)192,554
C12.63(C22×C4) = C4⋊C4.234D6φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.63(C2^2xC4)192,557
C12.64(C22×C4) = C4⋊C4⋊36D6φ: C22×C4/C22 → C22 ⊆ Aut C1248C12.64(C2^2xC4)192,560
C12.65(C22×C4) = C4.(C2×D12)φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.65(C2^2xC4)192,561
C12.66(C22×C4) = C4⋊C4.237D6φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.66(C2^2xC4)192,563
C12.67(C22×C4) = C2×C12.53D4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.67(C2^2xC4)192,682
C12.68(C22×C4) = C23.8Dic6φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.68(C2^2xC4)192,683
C12.69(C22×C4) = C2×D12⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C1248C12.69(C2^2xC4)192,697
C12.70(C22×C4) = M4(2)⋊24D6φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.70(C2^2xC4)192,698
C12.71(C22×C4) = Dic3×D8φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.71(C2^2xC4)192,708
C12.72(C22×C4) = D8⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.72(C2^2xC4)192,711
C12.73(C22×C4) = Dic3×SD16φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.73(C2^2xC4)192,720
C12.74(C22×C4) = SD16⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.74(C2^2xC4)192,723
C12.75(C22×C4) = Dic3×Q16φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.75(C2^2xC4)192,740
C12.76(C22×C4) = Q16⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.76(C2^2xC4)192,743
C12.77(C22×C4) = D8⋊5Dic3φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.77(C2^2xC4)192,755
C12.78(C22×C4) = D8⋊4Dic3φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.78(C2^2xC4)192,756
C12.79(C22×C4) = C2×D4⋊Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.79(C2^2xC4)192,773
C12.80(C22×C4) = (C6×D4)⋊6C4φ: C22×C4/C22 → C22 ⊆ Aut C1248C12.80(C2^2xC4)192,774
C12.81(C22×C4) = C2×Q8⋊2Dic3φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.81(C2^2xC4)192,783
C12.82(C22×C4) = (C6×Q8)⋊6C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.82(C2^2xC4)192,784
C12.83(C22×C4) = C4○D4⋊3Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.83(C2^2xC4)192,791
C12.84(C22×C4) = C4○D4⋊4Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.84(C2^2xC4)192,792
C12.85(C22×C4) = C2×Q8⋊3Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1248C12.85(C2^2xC4)192,794
C12.86(C22×C4) = (C6×D4)⋊9C4φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.86(C2^2xC4)192,795
C12.87(C22×C4) = C2×Dic6⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.87(C2^2xC4)192,1055
C12.88(C22×C4) = C2×C4⋊C4⋊7S3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.88(C2^2xC4)192,1061
C12.89(C22×C4) = C6.82+ 1+4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.89(C2^2xC4)192,1063
C12.90(C22×C4) = C42.91D6φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.90(C2^2xC4)192,1082
C12.91(C22×C4) = C2×S3×M4(2)φ: C22×C4/C22 → C22 ⊆ Aut C1248C12.91(C2^2xC4)192,1302
C12.92(C22×C4) = C2×D12.C4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.92(C2^2xC4)192,1303
C12.93(C22×C4) = M4(2)⋊26D6φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.93(C2^2xC4)192,1304
C12.94(C22×C4) = C24.49D6φ: C22×C4/C22 → C22 ⊆ Aut C1248C12.94(C2^2xC4)192,1357
C12.95(C22×C4) = C2×Q8×Dic3φ: C22×C4/C22 → C22 ⊆ Aut C12192C12.95(C2^2xC4)192,1370
C12.96(C22×C4) = C6.422- 1+4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.96(C2^2xC4)192,1371
C12.97(C22×C4) = C2×D4.Dic3φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.97(C2^2xC4)192,1377
C12.98(C22×C4) = C12.76C24φ: C22×C4/C22 → C22 ⊆ Aut C12484C12.98(C2^2xC4)192,1378
C12.99(C22×C4) = Dic3×C4○D4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.99(C2^2xC4)192,1385
C12.100(C22×C4) = C6.1442+ 1+4φ: C22×C4/C22 → C22 ⊆ Aut C1296C12.100(C2^2xC4)192,1386
C12.101(C22×C4) = C4×C24⋊C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.101(C2^2xC4)192,250
C12.102(C22×C4) = C4×D24φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.102(C2^2xC4)192,251
C12.103(C22×C4) = C4×Dic12φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.103(C2^2xC4)192,257
C12.104(C22×C4) = D24⋊11C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C12482C12.104(C2^2xC4)192,259
C12.105(C22×C4) = C42.16D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.105(C2^2xC4)192,269
C12.106(C22×C4) = D24⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.106(C2^2xC4)192,270
C12.107(C22×C4) = Dic12⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.107(C2^2xC4)192,275
C12.108(C22×C4) = D24⋊4C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C12484C12.108(C2^2xC4)192,276
C12.109(C22×C4) = C2×C42⋊4S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C1248C12.109(C2^2xC4)192,486
C12.110(C22×C4) = C42⋊6D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C12484C12.110(C2^2xC4)192,564
C12.111(C22×C4) = C2×C2.Dic12φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.111(C2^2xC4)192,662
C12.112(C22×C4) = C2×C2.D24φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.112(C2^2xC4)192,671
C12.113(C22×C4) = C23.28D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.113(C2^2xC4)192,672
C12.114(C22×C4) = C23.51D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.114(C2^2xC4)192,679
C12.115(C22×C4) = C23.53D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1248C12.115(C2^2xC4)192,690
C12.116(C22×C4) = C23.54D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.116(C2^2xC4)192,692
C12.117(C22×C4) = C2×C4×Dic6φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.117(C2^2xC4)192,1026
C12.118(C22×C4) = C4×C4○D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.118(C2^2xC4)192,1033
C12.119(C22×C4) = C42.87D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.119(C2^2xC4)192,1075
C12.120(C22×C4) = C42⋊9D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C1248C12.120(C2^2xC4)192,1080
C12.121(C22×C4) = C2×C8○D12φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.121(C2^2xC4)192,1297
C12.122(C22×C4) = S3×C4×C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.122(C2^2xC4)192,243
C12.123(C22×C4) = C4×C8⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.123(C2^2xC4)192,246
C12.124(C22×C4) = D6.C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.124(C2^2xC4)192,248
C12.125(C22×C4) = S3×C8⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.125(C2^2xC4)192,263
C12.126(C22×C4) = Dic3⋊5M4(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.126(C2^2xC4)192,266
C12.127(C22×C4) = D6.4C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.127(C2^2xC4)192,267
C12.128(C22×C4) = S3×C2×C16φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.128(C2^2xC4)192,458
C12.129(C22×C4) = C2×D6.C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.129(C2^2xC4)192,459
C12.130(C22×C4) = D12.4C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C12962C12.130(C2^2xC4)192,460
C12.131(C22×C4) = S3×M5(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C12484C12.131(C2^2xC4)192,465
C12.132(C22×C4) = C16.12D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C12964C12.132(C2^2xC4)192,466
C12.133(C22×C4) = C2×C4×C3⋊C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.133(C2^2xC4)192,479
C12.134(C22×C4) = C2×C42.S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.134(C2^2xC4)192,480
C12.135(C22×C4) = C4×C4.Dic3φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.135(C2^2xC4)192,481
C12.136(C22×C4) = C12.5C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.136(C2^2xC4)192,556
C12.137(C22×C4) = Dic3×C2×C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.137(C2^2xC4)192,657
C12.138(C22×C4) = C2×C24⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.138(C2^2xC4)192,659
C12.139(C22×C4) = C12.12C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.139(C2^2xC4)192,660
C12.140(C22×C4) = Dic3×M4(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.140(C2^2xC4)192,676
C12.141(C22×C4) = C2×C42⋊2S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.141(C2^2xC4)192,1031
C12.142(C22×C4) = S3×C42⋊C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C1248C12.142(C2^2xC4)192,1079
C12.143(C22×C4) = C42.188D6φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.143(C2^2xC4)192,1081
C12.144(C22×C4) = S3×C22×C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.144(C2^2xC4)192,1295
C12.145(C22×C4) = C22×C8⋊S3φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.145(C2^2xC4)192,1296
C12.146(C22×C4) = C6×D4⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.146(C2^2xC4)192,847
C12.147(C22×C4) = C6×Q8⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.147(C2^2xC4)192,848
C12.148(C22×C4) = C3×C23.24D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.148(C2^2xC4)192,849
C12.149(C22×C4) = C3×C23.36D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.149(C2^2xC4)192,850
C12.150(C22×C4) = C3×C23.37D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1248C12.150(C2^2xC4)192,851
C12.151(C22×C4) = C3×C23.38D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.151(C2^2xC4)192,852
C12.152(C22×C4) = C6×C4≀C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C1248C12.152(C2^2xC4)192,853
C12.153(C22×C4) = C3×C42⋊C22φ: C22×C4/C2×C4 → C2 ⊆ Aut C12484C12.153(C2^2xC4)192,854
C12.154(C22×C4) = C12×D8φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.154(C2^2xC4)192,870
C12.155(C22×C4) = C12×SD16φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.155(C2^2xC4)192,871
C12.156(C22×C4) = C12×Q16φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.156(C2^2xC4)192,872
C12.157(C22×C4) = C3×SD16⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.157(C2^2xC4)192,873
C12.158(C22×C4) = C3×Q16⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.158(C2^2xC4)192,874
C12.159(C22×C4) = C3×D8⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.159(C2^2xC4)192,875
C12.160(C22×C4) = C3×C8○D8φ: C22×C4/C2×C4 → C2 ⊆ Aut C12482C12.160(C2^2xC4)192,876
C12.161(C22×C4) = C3×C8.26D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C12484C12.161(C2^2xC4)192,877
C12.162(C22×C4) = Q8×C2×C12φ: C22×C4/C2×C4 → C2 ⊆ Aut C12192C12.162(C2^2xC4)192,1405
C12.163(C22×C4) = C12×C4○D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.163(C2^2xC4)192,1406
C12.164(C22×C4) = C3×C22.11C24φ: C22×C4/C2×C4 → C2 ⊆ Aut C1248C12.164(C2^2xC4)192,1407
C12.165(C22×C4) = C3×C23.32C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.165(C2^2xC4)192,1408
C12.166(C22×C4) = C3×C23.33C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.166(C2^2xC4)192,1409
C12.167(C22×C4) = C6×C8○D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C1296C12.167(C2^2xC4)192,1456
C12.168(C22×C4) = C3×Q8○M4(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C12484C12.168(C2^2xC4)192,1457
C12.169(C22×C4) = C2×C8⋊Dic3φ: C22×C4/C23 → C2 ⊆ Aut C12192C12.169(C2^2xC4)192,663
C12.170(C22×C4) = C2×C24⋊1C4φ: C22×C4/C23 → C2 ⊆ Aut C12192C12.170(C2^2xC4)192,664
C12.171(C22×C4) = C23.27D12φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.171(C2^2xC4)192,665
C12.172(C22×C4) = C2×C24.C4φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.172(C2^2xC4)192,666
C12.173(C22×C4) = C23.52D12φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.173(C2^2xC4)192,680
C12.174(C22×C4) = C23.9Dic6φ: C22×C4/C23 → C2 ⊆ Aut C12484C12.174(C2^2xC4)192,684
C12.175(C22×C4) = C22×C3⋊C16φ: C22×C4/C23 → C2 ⊆ Aut C12192C12.175(C2^2xC4)192,655
C12.176(C22×C4) = C2×C12.C8φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.176(C2^2xC4)192,656
C12.177(C22×C4) = C12.7C42φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.177(C2^2xC4)192,681
C12.178(C22×C4) = C24.78C23φ: C22×C4/C23 → C2 ⊆ Aut C12964C12.178(C2^2xC4)192,699
C12.179(C22×C4) = C23×C3⋊C8φ: C22×C4/C23 → C2 ⊆ Aut C12192C12.179(C2^2xC4)192,1339
C12.180(C22×C4) = C22×C4.Dic3φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.180(C2^2xC4)192,1340
C12.181(C22×C4) = C2×C23.26D6φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.181(C2^2xC4)192,1345
C12.182(C22×C4) = C6×C4.Q8φ: C22×C4/C23 → C2 ⊆ Aut C12192C12.182(C2^2xC4)192,858
C12.183(C22×C4) = C6×C2.D8φ: C22×C4/C23 → C2 ⊆ Aut C12192C12.183(C2^2xC4)192,859
C12.184(C22×C4) = C3×C23.25D4φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.184(C2^2xC4)192,860
C12.185(C22×C4) = C3×M4(2)⋊C4φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.185(C2^2xC4)192,861
C12.186(C22×C4) = C6×C8.C4φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.186(C2^2xC4)192,862
C12.187(C22×C4) = C3×M4(2).C4φ: C22×C4/C23 → C2 ⊆ Aut C12484C12.187(C2^2xC4)192,863
C12.188(C22×C4) = C6×C42⋊C2φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.188(C2^2xC4)192,1403
C12.189(C22×C4) = C2×C6×M4(2)φ: C22×C4/C23 → C2 ⊆ Aut C1296C12.189(C2^2xC4)192,1455
C12.190(C22×C4) = C6×C8⋊C4central extension (φ=1)192C12.190(C2^2xC4)192,836
C12.191(C22×C4) = C12×M4(2)central extension (φ=1)96C12.191(C2^2xC4)192,837
C12.192(C22×C4) = C3×C8○2M4(2)central extension (φ=1)96C12.192(C2^2xC4)192,838
C12.193(C22×C4) = C6×M5(2)central extension (φ=1)96C12.193(C2^2xC4)192,936
C12.194(C22×C4) = C3×D4○C16central extension (φ=1)962C12.194(C2^2xC4)192,937

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