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Extensions 1→N→G→Q→1 with N=C6 and Q=C4xQ8

Direct product G=NxQ with N=C6 and Q=C4xQ8
dρLabelID
Q8xC2xC12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=C6 and Q=C4xQ8
extensionφ:Q→Aut NdρLabelID
C6:1(C4xQ8) = C2xC4xDic6φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6:1(C4xQ8)192,1026
C6:2(C4xQ8) = C2xDic6:C4φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6:2(C4xQ8)192,1055
C6:3(C4xQ8) = C2xQ8xDic3φ: C4xQ8/C2xQ8 → C2 ⊆ Aut C6192C6:3(C4xQ8)192,1370

Non-split extensions G=N.Q with N=C6 and Q=C4xQ8
extensionφ:Q→Aut NdρLabelID
C6.1(C4xQ8) = (C2xC12):Q8φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.1(C4xQ8)192,205
C6.2(C4xQ8) = C6.(C4xQ8)φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.2(C4xQ8)192,206
C6.3(C4xQ8) = C2.(C4xDic6)φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.3(C4xQ8)192,213
C6.4(C4xQ8) = Dic3:C4:C4φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.4(C4xQ8)192,214
C6.5(C4xQ8) = C8xDic6φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.5(C4xQ8)192,237
C6.6(C4xQ8) = C24:12Q8φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.6(C4xQ8)192,238
C6.7(C4xQ8) = C24:Q8φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.7(C4xQ8)192,260
C6.8(C4xQ8) = C12:4(C4:C4)φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.8(C4xQ8)192,487
C6.9(C4xQ8) = (C2xDic6):7C4φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.9(C4xQ8)192,488
C6.10(C4xQ8) = C4xDic3:C4φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.10(C4xQ8)192,490
C6.11(C4xQ8) = (C2xC42).6S3φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.11(C4xQ8)192,492
C6.12(C4xQ8) = C4xC4:Dic3φ: C4xQ8/C42 → C2 ⊆ Aut C6192C6.12(C4xQ8)192,493
C6.13(C4xQ8) = Dic3:C42φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.13(C4xQ8)192,208
C6.14(C4xQ8) = C6.(C4xD4)φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.14(C4xQ8)192,211
C6.15(C4xQ8) = C2.(C4xD12)φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.15(C4xQ8)192,212
C6.16(C4xQ8) = C42.27D6φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.16(C4xQ8)192,387
C6.17(C4xQ8) = Dic6:C8φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.17(C4xQ8)192,389
C6.18(C4xQ8) = C42.198D6φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.18(C4xQ8)192,390
C6.19(C4xQ8) = C12:(C4:C4)φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.19(C4xQ8)192,531
C6.20(C4xQ8) = C4.(D6:C4)φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.20(C4xQ8)192,532
C6.21(C4xQ8) = Dic3xC4:C4φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.21(C4xQ8)192,533
C6.22(C4xQ8) = Dic3:(C4:C4)φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.22(C4xQ8)192,535
C6.23(C4xQ8) = C6.67(C4xD4)φ: C4xQ8/C4:C4 → C2 ⊆ Aut C6192C6.23(C4xQ8)192,537
C6.24(C4xQ8) = C4:C4:5Dic3φ: C4xQ8/C2xQ8 → C2 ⊆ Aut C6192C6.24(C4xQ8)192,539
C6.25(C4xQ8) = C4:C4:6Dic3φ: C4xQ8/C2xQ8 → C2 ⊆ Aut C6192C6.25(C4xQ8)192,543
C6.26(C4xQ8) = Q8xC3:C8φ: C4xQ8/C2xQ8 → C2 ⊆ Aut C6192C6.26(C4xQ8)192,582
C6.27(C4xQ8) = C42.210D6φ: C4xQ8/C2xQ8 → C2 ⊆ Aut C6192C6.27(C4xQ8)192,583
C6.28(C4xQ8) = (C6xQ8):7C4φ: C4xQ8/C2xQ8 → C2 ⊆ Aut C6192C6.28(C4xQ8)192,788
C6.29(C4xQ8) = C12xC4:C4central extension (φ=1)192C6.29(C4xQ8)192,811
C6.30(C4xQ8) = C3xC23.63C23central extension (φ=1)192C6.30(C4xQ8)192,820
C6.31(C4xQ8) = C3xC23.65C23central extension (φ=1)192C6.31(C4xQ8)192,822
C6.32(C4xQ8) = C3xC23.67C23central extension (φ=1)192C6.32(C4xQ8)192,824
C6.33(C4xQ8) = Q8xC24central extension (φ=1)192C6.33(C4xQ8)192,878
C6.34(C4xQ8) = C3xC8:4Q8central extension (φ=1)192C6.34(C4xQ8)192,879

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