Extensions 1→N→G→Q→1 with N=C6 and Q=C4○D8

Direct product G=N×Q with N=C6 and Q=C4○D8
dρLabelID
C6×C4○D896C6xC4oD8192,1461

Semidirect products G=N:Q with N=C6 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C61(C4○D8) = C2×C4○D24φ: C4○D8/C2×C8C2 ⊆ Aut C696C6:1(C4oD8)192,1300
C62(C4○D8) = C2×D83S3φ: C4○D8/D8C2 ⊆ Aut C696C6:2(C4oD8)192,1315
C63(C4○D8) = C2×Q8.7D6φ: C4○D8/SD16C2 ⊆ Aut C696C6:3(C4oD8)192,1320
C64(C4○D8) = C2×D24⋊C2φ: C4○D8/Q16C2 ⊆ Aut C696C6:4(C4oD8)192,1324
C65(C4○D8) = C2×Q8.13D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6:5(C4oD8)192,1380

Non-split extensions G=N.Q with N=C6 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C6.1(C4○D8) = C24.13Q8φ: C4○D8/C2×C8C2 ⊆ Aut C6192C6.1(C4oD8)192,242
C6.2(C4○D8) = C4×C24⋊C2φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.2(C4oD8)192,250
C6.3(C4○D8) = C4×D24φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.3(C4oD8)192,251
C6.4(C4○D8) = C8.8D12φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.4(C4oD8)192,255
C6.5(C4○D8) = C42.264D6φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.5(C4oD8)192,256
C6.6(C4○D8) = C4×Dic12φ: C4○D8/C2×C8C2 ⊆ Aut C6192C6.6(C4oD8)192,257
C6.7(C4○D8) = C23.15D12φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.7(C4oD8)192,282
C6.8(C4○D8) = D12.32D4φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.8(C4oD8)192,292
C6.9(C4○D8) = D1214D4φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.9(C4oD8)192,293
C6.10(C4○D8) = C23.18D12φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.10(C4oD8)192,296
C6.11(C4○D8) = Dic6.3Q8φ: C4○D8/C2×C8C2 ⊆ Aut C6192C6.11(C4oD8)192,388
C6.12(C4○D8) = D12.19D4φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.12(C4oD8)192,403
C6.13(C4○D8) = C42.36D6φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.13(C4oD8)192,404
C6.14(C4○D8) = D12.3Q8φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.14(C4oD8)192,406
C6.15(C4○D8) = C23.27D12φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.15(C4oD8)192,665
C6.16(C4○D8) = C23.28D12φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.16(C4oD8)192,672
C6.17(C4○D8) = C2430D4φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.17(C4oD8)192,673
C6.18(C4○D8) = C2429D4φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.18(C4oD8)192,674
C6.19(C4○D8) = C24.82D4φ: C4○D8/C2×C8C2 ⊆ Aut C696C6.19(C4oD8)192,675
C6.20(C4○D8) = Dic36SD16φ: C4○D8/D8C2 ⊆ Aut C696C6.20(C4oD8)192,317
C6.21(C4○D8) = D4.2Dic6φ: C4○D8/D8C2 ⊆ Aut C696C6.21(C4oD8)192,325
C6.22(C4○D8) = Dic6.D4φ: C4○D8/D8C2 ⊆ Aut C696C6.22(C4oD8)192,326
C6.23(C4○D8) = D6⋊SD16φ: C4○D8/D8C2 ⊆ Aut C696C6.23(C4oD8)192,337
C6.24(C4○D8) = D4.D12φ: C4○D8/D8C2 ⊆ Aut C696C6.24(C4oD8)192,342
C6.25(C4○D8) = C241C4⋊C2φ: C4○D8/D8C2 ⊆ Aut C696C6.25(C4oD8)192,343
C6.26(C4○D8) = Dic35Q16φ: C4○D8/D8C2 ⊆ Aut C6192C6.26(C4oD8)192,432
C6.27(C4○D8) = Dic6.2Q8φ: C4○D8/D8C2 ⊆ Aut C6192C6.27(C4oD8)192,436
C6.28(C4○D8) = C8.27(C4×S3)φ: C4○D8/D8C2 ⊆ Aut C696C6.28(C4oD8)192,439
C6.29(C4○D8) = D62Q16φ: C4○D8/D8C2 ⊆ Aut C696C6.29(C4oD8)192,446
C6.30(C4○D8) = C2.D87S3φ: C4○D8/D8C2 ⊆ Aut C696C6.30(C4oD8)192,447
C6.31(C4○D8) = Dic3×D8φ: C4○D8/D8C2 ⊆ Aut C696C6.31(C4oD8)192,708
C6.32(C4○D8) = (C6×D8).C2φ: C4○D8/D8C2 ⊆ Aut C696C6.32(C4oD8)192,712
C6.33(C4○D8) = C24.22D4φ: C4○D8/D8C2 ⊆ Aut C696C6.33(C4oD8)192,714
C6.34(C4○D8) = D63D8φ: C4○D8/D8C2 ⊆ Aut C696C6.34(C4oD8)192,716
C6.35(C4○D8) = Dic6⋊D4φ: C4○D8/D8C2 ⊆ Aut C696C6.35(C4oD8)192,717
C6.36(C4○D8) = Dic34D8φ: C4○D8/SD16C2 ⊆ Aut C696C6.36(C4oD8)192,315
C6.37(C4○D8) = D4.Dic6φ: C4○D8/SD16C2 ⊆ Aut C696C6.37(C4oD8)192,322
C6.38(C4○D8) = (C2×C8).200D6φ: C4○D8/SD16C2 ⊆ Aut C696C6.38(C4oD8)192,327
C6.39(C4○D8) = D42S3⋊C4φ: C4○D8/SD16C2 ⊆ Aut C696C6.39(C4oD8)192,331
C6.40(C4○D8) = D6⋊D8φ: C4○D8/SD16C2 ⊆ Aut C696C6.40(C4oD8)192,334
C6.41(C4○D8) = D6⋊C811C2φ: C4○D8/SD16C2 ⊆ Aut C696C6.41(C4oD8)192,338
C6.42(C4○D8) = D43D12φ: C4○D8/SD16C2 ⊆ Aut C696C6.42(C4oD8)192,340
C6.43(C4○D8) = D12.D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.43(C4oD8)192,346
C6.44(C4○D8) = Dic34Q16φ: C4○D8/SD16C2 ⊆ Aut C6192C6.44(C4oD8)192,349
C6.45(C4○D8) = Dic6.11D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.45(C4oD8)192,357
C6.46(C4○D8) = Q8.4Dic6φ: C4○D8/SD16C2 ⊆ Aut C6192C6.46(C4oD8)192,358
C6.47(C4○D8) = C4⋊C4.150D6φ: C4○D8/SD16C2 ⊆ Aut C696C6.47(C4oD8)192,363
C6.48(C4○D8) = Q8.11D12φ: C4○D8/SD16C2 ⊆ Aut C696C6.48(C4oD8)192,367
C6.49(C4○D8) = D61Q16φ: C4○D8/SD16C2 ⊆ Aut C696C6.49(C4oD8)192,372
C6.50(C4○D8) = C8⋊Dic3⋊C2φ: C4○D8/SD16C2 ⊆ Aut C696C6.50(C4oD8)192,374
C6.51(C4○D8) = Dic38SD16φ: C4○D8/SD16C2 ⊆ Aut C696C6.51(C4oD8)192,411
C6.52(C4○D8) = Dic6.Q8φ: C4○D8/SD16C2 ⊆ Aut C6192C6.52(C4oD8)192,416
C6.53(C4○D8) = C8.8Dic6φ: C4○D8/SD16C2 ⊆ Aut C6192C6.53(C4oD8)192,417
C6.54(C4○D8) = (S3×C8)⋊C4φ: C4○D8/SD16C2 ⊆ Aut C696C6.54(C4oD8)192,419
C6.55(C4○D8) = C88D12φ: C4○D8/SD16C2 ⊆ Aut C696C6.55(C4oD8)192,423
C6.56(C4○D8) = C4.Q8⋊S3φ: C4○D8/SD16C2 ⊆ Aut C696C6.56(C4oD8)192,425
C6.57(C4○D8) = C6.(C4○D8)φ: C4○D8/SD16C2 ⊆ Aut C696C6.57(C4oD8)192,427
C6.58(C4○D8) = D12.Q8φ: C4○D8/SD16C2 ⊆ Aut C696C6.58(C4oD8)192,430
C6.59(C4○D8) = Dic3×SD16φ: C4○D8/SD16C2 ⊆ Aut C696C6.59(C4oD8)192,720
C6.60(C4○D8) = (C3×D4).D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.60(C4oD8)192,724
C6.61(C4○D8) = (C3×Q8).D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.61(C4oD8)192,725
C6.62(C4○D8) = C24.43D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.62(C4oD8)192,727
C6.63(C4○D8) = C2414D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.63(C4oD8)192,730
C6.64(C4○D8) = D127D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.64(C4oD8)192,731
C6.65(C4○D8) = Dic6.16D4φ: C4○D8/SD16C2 ⊆ Aut C696C6.65(C4oD8)192,732
C6.66(C4○D8) = Dic37SD16φ: C4○D8/Q16C2 ⊆ Aut C696C6.66(C4oD8)192,347
C6.67(C4○D8) = Q8.3Dic6φ: C4○D8/Q16C2 ⊆ Aut C6192C6.67(C4oD8)192,355
C6.68(C4○D8) = Q8⋊C4⋊S3φ: C4○D8/Q16C2 ⊆ Aut C696C6.68(C4oD8)192,359
C6.69(C4○D8) = D62SD16φ: C4○D8/Q16C2 ⊆ Aut C696C6.69(C4oD8)192,366
C6.70(C4○D8) = Q84D12φ: C4○D8/Q16C2 ⊆ Aut C696C6.70(C4oD8)192,369
C6.71(C4○D8) = D6⋊C8.C2φ: C4○D8/Q16C2 ⊆ Aut C696C6.71(C4oD8)192,373
C6.72(C4○D8) = D12.12D4φ: C4○D8/Q16C2 ⊆ Aut C696C6.72(C4oD8)192,378
C6.73(C4○D8) = Dic35D8φ: C4○D8/Q16C2 ⊆ Aut C696C6.73(C4oD8)192,431
C6.74(C4○D8) = C8.6Dic6φ: C4○D8/Q16C2 ⊆ Aut C6192C6.74(C4oD8)192,437
C6.75(C4○D8) = D62D8φ: C4○D8/Q16C2 ⊆ Aut C696C6.75(C4oD8)192,442
C6.76(C4○D8) = C2.D8⋊S3φ: C4○D8/Q16C2 ⊆ Aut C696C6.76(C4oD8)192,444
C6.77(C4○D8) = D12.2Q8φ: C4○D8/Q16C2 ⊆ Aut C696C6.77(C4oD8)192,450
C6.78(C4○D8) = Dic3×Q16φ: C4○D8/Q16C2 ⊆ Aut C6192C6.78(C4oD8)192,740
C6.79(C4○D8) = (C2×Q16)⋊S3φ: C4○D8/Q16C2 ⊆ Aut C696C6.79(C4oD8)192,744
C6.80(C4○D8) = D12.17D4φ: C4○D8/Q16C2 ⊆ Aut C696C6.80(C4oD8)192,746
C6.81(C4○D8) = D63Q16φ: C4○D8/Q16C2 ⊆ Aut C696C6.81(C4oD8)192,747
C6.82(C4○D8) = C24.28D4φ: C4○D8/Q16C2 ⊆ Aut C696C6.82(C4oD8)192,750
C6.83(C4○D8) = C4⋊C4.233D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.83(C4oD8)192,555
C6.84(C4○D8) = C4⋊C4.234D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.84(C4oD8)192,557
C6.85(C4○D8) = C4.(C2×D12)φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.85(C4oD8)192,561
C6.86(C4○D8) = C4⋊C4.236D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.86(C4oD8)192,562
C6.87(C4○D8) = D4.3Dic6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.87(C4oD8)192,568
C6.88(C4○D8) = C4×D4⋊S3φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.88(C4oD8)192,572
C6.89(C4○D8) = D4.1D12φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.89(C4oD8)192,575
C6.90(C4○D8) = C4×D4.S3φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.90(C4oD8)192,576
C6.91(C4○D8) = Q8.5Dic6φ: C4○D8/C4○D4C2 ⊆ Aut C6192C6.91(C4oD8)192,581
C6.92(C4○D8) = C4×Q82S3φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.92(C4oD8)192,584
C6.93(C4○D8) = Q8.6D12φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.93(C4oD8)192,587
C6.94(C4○D8) = C4×C3⋊Q16φ: C4○D8/C4○D4C2 ⊆ Aut C6192C6.94(C4oD8)192,588
C6.95(C4○D8) = C6.Q16⋊C2φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.95(C4oD8)192,594
C6.96(C4○D8) = D1217D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.96(C4oD8)192,596
C6.97(C4○D8) = C3⋊C822D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.97(C4oD8)192,597
C6.98(C4○D8) = C3⋊C823D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.98(C4oD8)192,600
C6.99(C4○D8) = (C2×Q8).51D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.99(C4oD8)192,604
C6.100(C4○D8) = D12.37D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.100(C4oD8)192,606
C6.101(C4○D8) = C3⋊C824D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.101(C4oD8)192,607
C6.102(C4○D8) = C3⋊C8.29D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.102(C4oD8)192,610
C6.103(C4○D8) = C42.61D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.103(C4oD8)192,613
C6.104(C4○D8) = C42.213D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.104(C4oD8)192,615
C6.105(C4○D8) = D12.23D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.105(C4oD8)192,616
C6.106(C4○D8) = C42.214D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.106(C4oD8)192,618
C6.107(C4○D8) = Dic6.4Q8φ: C4○D8/C4○D4C2 ⊆ Aut C6192C6.107(C4oD8)192,622
C6.108(C4○D8) = C42.215D6φ: C4○D8/C4○D4C2 ⊆ Aut C6192C6.108(C4oD8)192,624
C6.109(C4○D8) = D12.4Q8φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.109(C4oD8)192,625
C6.110(C4○D8) = C42.216D6φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.110(C4oD8)192,627
C6.111(C4○D8) = C4○D44Dic3φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.111(C4oD8)192,792
C6.112(C4○D8) = (C3×D4)⋊14D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.112(C4oD8)192,797
C6.113(C4○D8) = (C3×D4).32D4φ: C4○D8/C4○D4C2 ⊆ Aut C696C6.113(C4oD8)192,798
C6.114(C4○D8) = C3×C23.24D4central extension (φ=1)96C6.114(C4oD8)192,849
C6.115(C4○D8) = C3×C23.25D4central extension (φ=1)96C6.115(C4oD8)192,860
C6.116(C4○D8) = C12×D8central extension (φ=1)96C6.116(C4oD8)192,870
C6.117(C4○D8) = C12×SD16central extension (φ=1)96C6.117(C4oD8)192,871
C6.118(C4○D8) = C12×Q16central extension (φ=1)192C6.118(C4oD8)192,872
C6.119(C4○D8) = C3×D4⋊D4central extension (φ=1)96C6.119(C4oD8)192,882
C6.120(C4○D8) = C3×D4.7D4central extension (φ=1)96C6.120(C4oD8)192,885
C6.121(C4○D8) = C3×D4.2D4central extension (φ=1)96C6.121(C4oD8)192,896
C6.122(C4○D8) = C3×Q8.D4central extension (φ=1)96C6.122(C4oD8)192,897
C6.123(C4○D8) = C3×C88D4central extension (φ=1)96C6.123(C4oD8)192,898
C6.124(C4○D8) = C3×C87D4central extension (φ=1)96C6.124(C4oD8)192,899
C6.125(C4○D8) = C3×C8.18D4central extension (φ=1)96C6.125(C4oD8)192,900
C6.126(C4○D8) = C3×D4.Q8central extension (φ=1)96C6.126(C4oD8)192,911
C6.127(C4○D8) = C3×Q8.Q8central extension (φ=1)192C6.127(C4oD8)192,912
C6.128(C4○D8) = C3×C23.19D4central extension (φ=1)96C6.128(C4oD8)192,915
C6.129(C4○D8) = C3×C23.20D4central extension (φ=1)96C6.129(C4oD8)192,918
C6.130(C4○D8) = C3×C42.78C22central extension (φ=1)96C6.130(C4oD8)192,921
C6.131(C4○D8) = C3×C8.12D4central extension (φ=1)96C6.131(C4oD8)192,928
C6.132(C4○D8) = C3×C8.5Q8central extension (φ=1)192C6.132(C4oD8)192,932

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