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Extensions 1→N→G→Q→1 with N=C12 and Q=C2×Q8

Direct product G=N×Q with N=C12 and Q=C2×Q8
dρLabelID
Q8×C2×C12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=C12 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C12⋊1(C2×Q8) = D4×Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12:1(C2xQ8)192,1096
C12⋊2(C2×Q8) = S3×C4⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12:2(C2xQ8)192,1282
C12⋊3(C2×Q8) = D12⋊8Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12:3(C2xQ8)192,1286
C12⋊4(C2×Q8) = C2×C12⋊Q8φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12:4(C2xQ8)192,1056
C12⋊5(C2×Q8) = C2×C12⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12:5(C2xQ8)192,1027
C12⋊6(C2×Q8) = C2×C4×Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12:6(C2xQ8)192,1026
C12⋊7(C2×Q8) = C6×C4⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12:7(C2xQ8)192,1420
C12⋊8(C2×Q8) = Q8×D12φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12:8(C2xQ8)192,1134
C12⋊9(C2×Q8) = C4×S3×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12:9(C2xQ8)192,1130
C12⋊10(C2×Q8) = C3×D4×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12:10(C2xQ8)192,1438

Non-split extensions G=N.Q with N=C12 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C12.1(C2×Q8) = Dic3.D8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.1(C2xQ8)192,318
C12.2(C2×Q8) = D4⋊Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.2(C2xQ8)192,320
C12.3(C2×Q8) = D4.Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.3(C2xQ8)192,322
C12.4(C2×Q8) = D4.2Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.4(C2xQ8)192,325
C12.5(C2×Q8) = Q8⋊2Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.5(C2xQ8)192,350
C12.6(C2×Q8) = Q8⋊3Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.6(C2xQ8)192,352
C12.7(C2×Q8) = Q8.3Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.7(C2xQ8)192,355
C12.8(C2×Q8) = Q8.4Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.8(C2xQ8)192,358
C12.9(C2×Q8) = Dic6⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.9(C2xQ8)192,413
C12.10(C2×Q8) = C24⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.10(C2xQ8)192,414
C12.11(C2×Q8) = Dic6.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.11(C2xQ8)192,416
C12.12(C2×Q8) = S3×C4.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.12(C2xQ8)192,418
C12.13(C2×Q8) = (S3×C8)⋊C4φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.13(C2xQ8)192,419
C12.14(C2×Q8) = C8⋊(C4×S3)φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.14(C2xQ8)192,420
C12.15(C2×Q8) = D12⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.15(C2xQ8)192,429
C12.16(C2×Q8) = D12.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.16(C2xQ8)192,430
C12.17(C2×Q8) = C24⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.17(C2xQ8)192,433
C12.18(C2×Q8) = Dic3.Q16φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.18(C2xQ8)192,434
C12.19(C2×Q8) = Dic6.2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.19(C2xQ8)192,436
C12.20(C2×Q8) = S3×C2.D8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.20(C2xQ8)192,438
C12.21(C2×Q8) = C8.27(C4×S3)φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.21(C2xQ8)192,439
C12.22(C2×Q8) = C8⋊S3⋊C4φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.22(C2xQ8)192,440
C12.23(C2×Q8) = D12⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.23(C2xQ8)192,449
C12.24(C2×Q8) = D12.2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.24(C2xQ8)192,450
C12.25(C2×Q8) = C12.50D8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.25(C2xQ8)192,566
C12.26(C2×Q8) = C12.38SD16φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.26(C2xQ8)192,567
C12.27(C2×Q8) = D4.3Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.27(C2xQ8)192,568
C12.28(C2×Q8) = Q8⋊4Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.28(C2xQ8)192,579
C12.29(C2×Q8) = Q8⋊5Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.29(C2xQ8)192,580
C12.30(C2×Q8) = Q8.5Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.30(C2xQ8)192,581
C12.31(C2×Q8) = Dic6.4Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.31(C2xQ8)192,622
C12.32(C2×Q8) = C42.68D6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.32(C2xQ8)192,623
C12.33(C2×Q8) = C42.215D6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.33(C2xQ8)192,624
C12.34(C2×Q8) = D12.4Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.34(C2xQ8)192,625
C12.35(C2×Q8) = C12.17D8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.35(C2xQ8)192,637
C12.36(C2×Q8) = C12.SD16φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.36(C2xQ8)192,639
C12.37(C2×Q8) = C42.76D6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.37(C2xQ8)192,640
C12.38(C2×Q8) = D12⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.38(C2xQ8)192,643
C12.39(C2×Q8) = D12⋊6Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.39(C2xQ8)192,646
C12.40(C2×Q8) = Dic6⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.40(C2xQ8)192,650
C12.41(C2×Q8) = Dic6⋊6Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.41(C2xQ8)192,653
C12.42(C2×Q8) = D4⋊5Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.42(C2xQ8)192,1098
C12.43(C2×Q8) = D4⋊6Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.43(C2xQ8)192,1102
C12.44(C2×Q8) = Q8×Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.44(C2xQ8)192,1125
C12.45(C2×Q8) = Q8⋊6Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.45(C2xQ8)192,1128
C12.46(C2×Q8) = Q8⋊7Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.46(C2xQ8)192,1129
C12.47(C2×Q8) = Dic6⋊7Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.47(C2xQ8)192,1244
C12.48(C2×Q8) = S3×C42.C2φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.48(C2xQ8)192,1246
C12.49(C2×Q8) = C42.236D6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.49(C2xQ8)192,1247
C12.50(C2×Q8) = C42.148D6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.50(C2xQ8)192,1248
C12.51(C2×Q8) = D12⋊7Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.51(C2xQ8)192,1249
C12.52(C2×Q8) = Dic6⋊8Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.52(C2xQ8)192,1280
C12.53(C2×Q8) = Dic6⋊9Q8φ: C2×Q8/C4 → C22 ⊆ Aut C12192C12.53(C2xQ8)192,1281
C12.54(C2×Q8) = C42.241D6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.54(C2xQ8)192,1287
C12.55(C2×Q8) = C42.174D6φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.55(C2xQ8)192,1288
C12.56(C2×Q8) = D12⋊9Q8φ: C2×Q8/C4 → C22 ⊆ Aut C1296C12.56(C2xQ8)192,1289
C12.57(C2×Q8) = C24⋊3Q8φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12.57(C2xQ8)192,415
C12.58(C2×Q8) = C8.8Dic6φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12.58(C2xQ8)192,417
C12.59(C2×Q8) = C24⋊4Q8φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12.59(C2xQ8)192,435
C12.60(C2×Q8) = C8.6Dic6φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12.60(C2xQ8)192,437
C12.61(C2×Q8) = C2×C6.Q16φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12.61(C2xQ8)192,521
C12.62(C2×Q8) = C2×C12.Q8φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12.62(C2xQ8)192,522
C12.63(C2×Q8) = C4⋊C4.225D6φ: C2×Q8/C22 → C22 ⊆ Aut C1296C12.63(C2xQ8)192,523
C12.64(C2×Q8) = C4⋊C4.232D6φ: C2×Q8/C22 → C22 ⊆ Aut C1296C12.64(C2xQ8)192,554
C12.65(C2×Q8) = C4⋊C4.234D6φ: C2×Q8/C22 → C22 ⊆ Aut C1296C12.65(C2xQ8)192,557
C12.66(C2×Q8) = C2×C4.Dic6φ: C2×Q8/C22 → C22 ⊆ Aut C12192C12.66(C2xQ8)192,1058
C12.67(C2×Q8) = C6.72+ 1+4φ: C2×Q8/C22 → C22 ⊆ Aut C1296C12.67(C2xQ8)192,1059
C12.68(C2×Q8) = C42.88D6φ: C2×Q8/C22 → C22 ⊆ Aut C1296C12.68(C2xQ8)192,1076
C12.69(C2×Q8) = C24⋊9Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.69(C2xQ8)192,239
C12.70(C2×Q8) = C24⋊8Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.70(C2xQ8)192,241
C12.71(C2×Q8) = C24.13Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.71(C2xQ8)192,242
C12.72(C2×Q8) = C8⋊Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.72(C2xQ8)192,261
C12.73(C2×Q8) = C2×C8⋊Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.73(C2xQ8)192,663
C12.74(C2×Q8) = C2×C24⋊1C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.74(C2xQ8)192,664
C12.75(C2×Q8) = C23.27D12φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.75(C2xQ8)192,665
C12.76(C2×Q8) = C23.52D12φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.76(C2xQ8)192,680
C12.77(C2×Q8) = C2×C12.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.77(C2xQ8)192,1028
C12.78(C2×Q8) = C42.90D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.78(C2xQ8)192,1078
C12.79(C2×Q8) = C8×Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.79(C2xQ8)192,237
C12.80(C2×Q8) = C24⋊12Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.80(C2xQ8)192,238
C12.81(C2×Q8) = C24⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.81(C2xQ8)192,260
C12.82(C2×Q8) = C2×C12⋊C8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.82(C2xQ8)192,482
C12.83(C2×Q8) = C12⋊7M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.83(C2xQ8)192,483
C12.84(C2×Q8) = C42.43D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.84(C2xQ8)192,558
C12.85(C2×Q8) = C2×Dic3⋊C8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.85(C2xQ8)192,658
C12.86(C2×Q8) = Dic3⋊C8⋊C2φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.86(C2xQ8)192,661
C12.87(C2×Q8) = Dic3⋊4M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.87(C2xQ8)192,677
C12.88(C2×Q8) = C12.88(C2×Q8)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.88(C2xQ8)192,678
C12.89(C2×Q8) = C42.274D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.89(C2xQ8)192,1029
C12.90(C2×Q8) = C6×C4.Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.90(C2xQ8)192,858
C12.91(C2×Q8) = C6×C2.D8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.91(C2xQ8)192,859
C12.92(C2×Q8) = C3×C23.25D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.92(C2xQ8)192,860
C12.93(C2×Q8) = C3×M4(2)⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.93(C2xQ8)192,861
C12.94(C2×Q8) = C3×C8⋊3Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.94(C2xQ8)192,931
C12.95(C2×Q8) = C3×C8.5Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.95(C2xQ8)192,932
C12.96(C2×Q8) = C3×C8⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.96(C2xQ8)192,933
C12.97(C2×Q8) = C3×C8⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.97(C2xQ8)192,934
C12.98(C2×Q8) = C6×C42.C2φ: C2×Q8/C2×C4 → C2 ⊆ Aut C12192C12.98(C2xQ8)192,1416
C12.99(C2×Q8) = C3×C23.37C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.99(C2xQ8)192,1422
C12.100(C2×Q8) = C3×C23.41C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C1296C12.100(C2xQ8)192,1433
C12.101(C2×Q8) = Dic6.3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.101(C2xQ8)192,388
C12.102(C2×Q8) = D12⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.102(C2xQ8)192,401
C12.103(C2×Q8) = D12⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.103(C2xQ8)192,405
C12.104(C2×Q8) = D12.3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.104(C2xQ8)192,406
C12.105(C2×Q8) = Dic6⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.105(C2xQ8)192,409
C12.106(C2×Q8) = Dic6⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.106(C2xQ8)192,410
C12.107(C2×Q8) = Dic6⋊10Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.107(C2xQ8)192,1126
C12.108(C2×Q8) = D12⋊10Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.108(C2xQ8)192,1138
C12.109(C2×Q8) = C42.27D6φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.109(C2xQ8)192,387
C12.110(C2×Q8) = Dic6⋊C8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.110(C2xQ8)192,389
C12.111(C2×Q8) = C42.198D6φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.111(C2xQ8)192,390
C12.112(C2×Q8) = S3×C4⋊C8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.112(C2xQ8)192,391
C12.113(C2×Q8) = C12⋊M4(2)φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.113(C2xQ8)192,396
C12.114(C2×Q8) = C42.30D6φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.114(C2xQ8)192,398
C12.115(C2×Q8) = Q8×C3⋊C8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.115(C2xQ8)192,582
C12.116(C2×Q8) = C42.210D6φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.116(C2xQ8)192,583
C12.117(C2×Q8) = C42.232D6φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.117(C2xQ8)192,1137
C12.118(C2×Q8) = C3×D4⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.118(C2xQ8)192,907
C12.119(C2×Q8) = C3×Q8⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.119(C2xQ8)192,908
C12.120(C2×Q8) = C3×D4⋊2Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.120(C2xQ8)192,909
C12.121(C2×Q8) = C3×C4.Q16φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.121(C2xQ8)192,910
C12.122(C2×Q8) = C3×D4.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.122(C2xQ8)192,911
C12.123(C2×Q8) = C3×Q8.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.123(C2xQ8)192,912
C12.124(C2×Q8) = C3×D4⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C1296C12.124(C2xQ8)192,1443
C12.125(C2×Q8) = C3×Q8⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.125(C2xQ8)192,1446
C12.126(C2×Q8) = C3×Q82φ: C2×Q8/Q8 → C2 ⊆ Aut C12192C12.126(C2xQ8)192,1447
C12.127(C2×Q8) = C6×C4⋊C8central extension (φ=1)192C12.127(C2xQ8)192,855
C12.128(C2×Q8) = C3×C4⋊M4(2)central extension (φ=1)96C12.128(C2xQ8)192,856
C12.129(C2×Q8) = C3×C42.6C22central extension (φ=1)96C12.129(C2xQ8)192,857
C12.130(C2×Q8) = Q8×C24central extension (φ=1)192C12.130(C2xQ8)192,878
C12.131(C2×Q8) = C3×C8⋊4Q8central extension (φ=1)192C12.131(C2xQ8)192,879

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