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Extensions 1→N→G→Q→1 with N=C6 and Q=C22:Q8

Direct product G=NxQ with N=C6 and Q=C22:Q8
dρLabelID
C6xC22:Q896C6xC2^2:Q8192,1412

Semidirect products G=N:Q with N=C6 and Q=C22:Q8
extensionφ:Q→Aut NdρLabelID
C6:1(C22:Q8) = C2xDic3.D4φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6:1(C2^2:Q8)192,1040
C6:2(C22:Q8) = C2xD6:Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6:2(C2^2:Q8)192,1067
C6:3(C22:Q8) = C2xC4.D12φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6:3(C2^2:Q8)192,1068
C6:4(C22:Q8) = C2xC12.48D4φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6:4(C2^2:Q8)192,1343
C6:5(C22:Q8) = C2xD6:3Q8φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C696C6:5(C2^2:Q8)192,1372

Non-split extensions G=N.Q with N=C6 and Q=C22:Q8
extensionφ:Q→Aut NdρLabelID
C6.1(C22:Q8) = (C2xC12):Q8φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.1(C2^2:Q8)192,205
C6.2(C22:Q8) = C6.(C4xQ8)φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.2(C2^2:Q8)192,206
C6.3(C22:Q8) = C2.(C4xDic6)φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.3(C2^2:Q8)192,213
C6.4(C22:Q8) = Dic3:C4:C4φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.4(C2^2:Q8)192,214
C6.5(C22:Q8) = (C2xC4).Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.5(C2^2:Q8)192,219
C6.6(C22:Q8) = (C22xC4).85D6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.6(C2^2:Q8)192,220
C6.7(C22:Q8) = Dic3.D8φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6.7(C2^2:Q8)192,318
C6.8(C22:Q8) = D4:Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6.8(C2^2:Q8)192,320
C6.9(C22:Q8) = D4.Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6.9(C2^2:Q8)192,322
C6.10(C22:Q8) = D4.2Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6.10(C2^2:Q8)192,325
C6.11(C22:Q8) = Q8:2Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.11(C2^2:Q8)192,350
C6.12(C22:Q8) = Q8:3Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.12(C2^2:Q8)192,352
C6.13(C22:Q8) = Q8.3Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.13(C2^2:Q8)192,355
C6.14(C22:Q8) = Q8.4Dic6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C6192C6.14(C2^2:Q8)192,358
C6.15(C22:Q8) = C24.55D6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6.15(C2^2:Q8)192,501
C6.16(C22:Q8) = C24.57D6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6.16(C2^2:Q8)192,505
C6.17(C22:Q8) = C24.58D6φ: C22:Q8/C22:C4 → C2 ⊆ Aut C696C6.17(C2^2:Q8)192,509
C6.18(C22:Q8) = C6.(C4xD4)φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.18(C2^2:Q8)192,211
C6.19(C22:Q8) = C2.(C4xD12)φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.19(C2^2:Q8)192,212
C6.20(C22:Q8) = (C2xC4):Dic6φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.20(C2^2:Q8)192,215
C6.21(C22:Q8) = C6.(C4:Q8)φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.21(C2^2:Q8)192,216
C6.22(C22:Q8) = (C2xDic3).9D4φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.22(C2^2:Q8)192,217
C6.23(C22:Q8) = (C2xC4).17D12φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.23(C2^2:Q8)192,218
C6.24(C22:Q8) = D6:(C4:C4)φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.24(C2^2:Q8)192,226
C6.25(C22:Q8) = D6:C4:C4φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.25(C2^2:Q8)192,227
C6.26(C22:Q8) = (C22xS3):Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.26(C2^2:Q8)192,232
C6.27(C22:Q8) = (C22xC4).37D6φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.27(C2^2:Q8)192,235
C6.28(C22:Q8) = (C2xC12).33D4φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.28(C2^2:Q8)192,236
C6.29(C22:Q8) = Dic6.3Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.29(C2^2:Q8)192,388
C6.30(C22:Q8) = D12:3Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.30(C2^2:Q8)192,401
C6.31(C22:Q8) = D12:4Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.31(C2^2:Q8)192,405
C6.32(C22:Q8) = D12.3Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.32(C2^2:Q8)192,406
C6.33(C22:Q8) = Dic6:3Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.33(C2^2:Q8)192,409
C6.34(C22:Q8) = Dic6:4Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.34(C2^2:Q8)192,410
C6.35(C22:Q8) = Dic6:Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.35(C2^2:Q8)192,413
C6.36(C22:Q8) = Dic6.Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.36(C2^2:Q8)192,416
C6.37(C22:Q8) = D12:Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.37(C2^2:Q8)192,429
C6.38(C22:Q8) = D12.Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.38(C2^2:Q8)192,430
C6.39(C22:Q8) = Dic3.Q16φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.39(C2^2:Q8)192,434
C6.40(C22:Q8) = Dic6.2Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.40(C2^2:Q8)192,436
C6.41(C22:Q8) = D12:2Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.41(C2^2:Q8)192,449
C6.42(C22:Q8) = D12.2Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.42(C2^2:Q8)192,450
C6.43(C22:Q8) = C4.(D6:C4)φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.43(C2^2:Q8)192,532
C6.44(C22:Q8) = Dic3:(C4:C4)φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.44(C2^2:Q8)192,535
C6.45(C22:Q8) = C4:C4:5Dic3φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.45(C2^2:Q8)192,539
C6.46(C22:Q8) = (C2xC4).44D12φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.46(C2^2:Q8)192,540
C6.47(C22:Q8) = (C2xDic3).Q8φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.47(C2^2:Q8)192,542
C6.48(C22:Q8) = C4:C4:6Dic3φ: C22:Q8/C4:C4 → C2 ⊆ Aut C6192C6.48(C2^2:Q8)192,543
C6.49(C22:Q8) = D6:C4:6C4φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.49(C2^2:Q8)192,548
C6.50(C22:Q8) = (C2xC12).290D4φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.50(C2^2:Q8)192,552
C6.51(C22:Q8) = (C2xC12).56D4φ: C22:Q8/C4:C4 → C2 ⊆ Aut C696C6.51(C2^2:Q8)192,553
C6.52(C22:Q8) = C12:4(C4:C4)φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.52(C2^2:Q8)192,487
C6.53(C22:Q8) = (C2xDic6):7C4φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.53(C2^2:Q8)192,488
C6.54(C22:Q8) = (C2xC42).6S3φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.54(C2^2:Q8)192,492
C6.55(C22:Q8) = C23:2Dic6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.55(C2^2:Q8)192,506
C6.56(C22:Q8) = C24.17D6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.56(C2^2:Q8)192,507
C6.57(C22:Q8) = C24.18D6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.57(C2^2:Q8)192,508
C6.58(C22:Q8) = (C2xDic3):Q8φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.58(C2^2:Q8)192,538
C6.59(C22:Q8) = (C2xC12).54D4φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.59(C2^2:Q8)192,541
C6.60(C22:Q8) = (C2xC12).55D4φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.60(C2^2:Q8)192,545
C6.61(C22:Q8) = C12.50D8φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.61(C2^2:Q8)192,566
C6.62(C22:Q8) = C12.38SD16φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.62(C2^2:Q8)192,567
C6.63(C22:Q8) = D4.3Dic6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.63(C2^2:Q8)192,568
C6.64(C22:Q8) = Q8:4Dic6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.64(C2^2:Q8)192,579
C6.65(C22:Q8) = Q8:5Dic6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.65(C2^2:Q8)192,580
C6.66(C22:Q8) = Q8.5Dic6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C6192C6.66(C2^2:Q8)192,581
C6.67(C22:Q8) = C24.73D6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.67(C2^2:Q8)192,769
C6.68(C22:Q8) = C24.75D6φ: C22:Q8/C22xC4 → C2 ⊆ Aut C696C6.68(C2^2:Q8)192,771
C6.69(C22:Q8) = C12:(C4:C4)φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.69(C2^2:Q8)192,531
C6.70(C22:Q8) = C6.67(C4xD4)φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.70(C2^2:Q8)192,537
C6.71(C22:Q8) = (C2xC12).288D4φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.71(C2^2:Q8)192,544
C6.72(C22:Q8) = C4:(D6:C4)φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C696C6.72(C2^2:Q8)192,546
C6.73(C22:Q8) = Dic6.4Q8φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.73(C2^2:Q8)192,622
C6.74(C22:Q8) = D12.4Q8φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C696C6.74(C2^2:Q8)192,625
C6.75(C22:Q8) = D12:5Q8φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C696C6.75(C2^2:Q8)192,643
C6.76(C22:Q8) = D12:6Q8φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C696C6.76(C2^2:Q8)192,646
C6.77(C22:Q8) = Dic6:5Q8φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.77(C2^2:Q8)192,650
C6.78(C22:Q8) = Dic6:6Q8φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.78(C2^2:Q8)192,653
C6.79(C22:Q8) = (C6xQ8):7C4φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.79(C2^2:Q8)192,788
C6.80(C22:Q8) = C22.52(S3xQ8)φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C6192C6.80(C2^2:Q8)192,789
C6.81(C22:Q8) = (C22xQ8):9S3φ: C22:Q8/C2xQ8 → C2 ⊆ Aut C696C6.81(C2^2:Q8)192,790
C6.82(C22:Q8) = C3xC23.7Q8central extension (φ=1)96C6.82(C2^2:Q8)192,813
C6.83(C22:Q8) = C3xC23.8Q8central extension (φ=1)96C6.83(C2^2:Q8)192,818
C6.84(C22:Q8) = C3xC23.63C23central extension (φ=1)192C6.84(C2^2:Q8)192,820
C6.85(C22:Q8) = C3xC23.65C23central extension (φ=1)192C6.85(C2^2:Q8)192,822
C6.86(C22:Q8) = C3xC23.67C23central extension (φ=1)192C6.86(C2^2:Q8)192,824
C6.87(C22:Q8) = C3xC23:Q8central extension (φ=1)96C6.87(C2^2:Q8)192,826
C6.88(C22:Q8) = C3xC23.78C23central extension (φ=1)192C6.88(C2^2:Q8)192,828
C6.89(C22:Q8) = C3xC23.Q8central extension (φ=1)96C6.89(C2^2:Q8)192,829
C6.90(C22:Q8) = C3xC23.81C23central extension (φ=1)192C6.90(C2^2:Q8)192,831
C6.91(C22:Q8) = C3xC23.4Q8central extension (φ=1)96C6.91(C2^2:Q8)192,832
C6.92(C22:Q8) = C3xC23.83C23central extension (φ=1)192C6.92(C2^2:Q8)192,833
C6.93(C22:Q8) = C3xD4:Q8central extension (φ=1)96C6.93(C2^2:Q8)192,907
C6.94(C22:Q8) = C3xQ8:Q8central extension (φ=1)192C6.94(C2^2:Q8)192,908
C6.95(C22:Q8) = C3xD4:2Q8central extension (φ=1)96C6.95(C2^2:Q8)192,909
C6.96(C22:Q8) = C3xC4.Q16central extension (φ=1)192C6.96(C2^2:Q8)192,910
C6.97(C22:Q8) = C3xD4.Q8central extension (φ=1)96C6.97(C2^2:Q8)192,911
C6.98(C22:Q8) = C3xQ8.Q8central extension (φ=1)192C6.98(C2^2:Q8)192,912

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