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Extensions 1→N→G→Q→1 with N=C6 and Q=C4×Q8

Direct product G=N×Q with N=C6 and Q=C4×Q8
dρLabelID
Q8×C2×C12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=C6 and Q=C4×Q8
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4×Q8) = C2×C4×Dic6φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6:1(C4xQ8)192,1026
C6⋊2(C4×Q8) = C2×Dic6⋊C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6:2(C4xQ8)192,1055
C6⋊3(C4×Q8) = C2×Q8×Dic3φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C6192C6:3(C4xQ8)192,1370

Non-split extensions G=N.Q with N=C6 and Q=C4×Q8
extensionφ:Q→Aut NdρLabelID
C6.1(C4×Q8) = (C2×C12)⋊Q8φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.1(C4xQ8)192,205
C6.2(C4×Q8) = C6.(C4×Q8)φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.2(C4xQ8)192,206
C6.3(C4×Q8) = C2.(C4×Dic6)φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.3(C4xQ8)192,213
C6.4(C4×Q8) = Dic3⋊C4⋊C4φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.4(C4xQ8)192,214
C6.5(C4×Q8) = C8×Dic6φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.5(C4xQ8)192,237
C6.6(C4×Q8) = C24⋊12Q8φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.6(C4xQ8)192,238
C6.7(C4×Q8) = C24⋊Q8φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.7(C4xQ8)192,260
C6.8(C4×Q8) = C12⋊4(C4⋊C4)φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.8(C4xQ8)192,487
C6.9(C4×Q8) = (C2×Dic6)⋊7C4φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.9(C4xQ8)192,488
C6.10(C4×Q8) = C4×Dic3⋊C4φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.10(C4xQ8)192,490
C6.11(C4×Q8) = (C2×C42).6S3φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.11(C4xQ8)192,492
C6.12(C4×Q8) = C4×C4⋊Dic3φ: C4×Q8/C42 → C2 ⊆ Aut C6192C6.12(C4xQ8)192,493
C6.13(C4×Q8) = Dic3⋊C42φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.13(C4xQ8)192,208
C6.14(C4×Q8) = C6.(C4×D4)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.14(C4xQ8)192,211
C6.15(C4×Q8) = C2.(C4×D12)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.15(C4xQ8)192,212
C6.16(C4×Q8) = C42.27D6φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.16(C4xQ8)192,387
C6.17(C4×Q8) = Dic6⋊C8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.17(C4xQ8)192,389
C6.18(C4×Q8) = C42.198D6φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.18(C4xQ8)192,390
C6.19(C4×Q8) = C12⋊(C4⋊C4)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.19(C4xQ8)192,531
C6.20(C4×Q8) = C4.(D6⋊C4)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.20(C4xQ8)192,532
C6.21(C4×Q8) = Dic3×C4⋊C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.21(C4xQ8)192,533
C6.22(C4×Q8) = Dic3⋊(C4⋊C4)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.22(C4xQ8)192,535
C6.23(C4×Q8) = C6.67(C4×D4)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.23(C4xQ8)192,537
C6.24(C4×Q8) = C4⋊C4⋊5Dic3φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.24(C4xQ8)192,539
C6.25(C4×Q8) = C4⋊C4⋊6Dic3φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.25(C4xQ8)192,543
C6.26(C4×Q8) = Q8×C3⋊C8φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.26(C4xQ8)192,582
C6.27(C4×Q8) = C42.210D6φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.27(C4xQ8)192,583
C6.28(C4×Q8) = (C6×Q8)⋊7C4φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.28(C4xQ8)192,788
C6.29(C4×Q8) = C12×C4⋊C4central extension (φ=1)192C6.29(C4xQ8)192,811
C6.30(C4×Q8) = C3×C23.63C23central extension (φ=1)192C6.30(C4xQ8)192,820
C6.31(C4×Q8) = C3×C23.65C23central extension (φ=1)192C6.31(C4xQ8)192,822
C6.32(C4×Q8) = C3×C23.67C23central extension (φ=1)192C6.32(C4xQ8)192,824
C6.33(C4×Q8) = Q8×C24central extension (φ=1)192C6.33(C4xQ8)192,878
C6.34(C4×Q8) = C3×C8⋊4Q8central extension (φ=1)192C6.34(C4xQ8)192,879

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