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

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

Semidirect products G=N:Q with N=C4 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C6×Q8) = C6×C4⋊Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4:1(C6xQ8)192,1420
C4⋊2(C6×Q8) = C3×D4×Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C496C4:2(C6xQ8)192,1438

Non-split extensions G=N.Q with N=C4 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C4.1(C6×Q8) = C6×C4.Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4.1(C6xQ8)192,858
C4.2(C6×Q8) = C6×C2.D8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4.2(C6xQ8)192,859
C4.3(C6×Q8) = C3×C23.25D4φ: C6×Q8/C2×C12 → C2 ⊆ Aut C496C4.3(C6xQ8)192,860
C4.4(C6×Q8) = C3×M4(2)⋊C4φ: C6×Q8/C2×C12 → C2 ⊆ Aut C496C4.4(C6xQ8)192,861
C4.5(C6×Q8) = C3×C8⋊3Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4.5(C6xQ8)192,931
C4.6(C6×Q8) = C3×C8.5Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4.6(C6xQ8)192,932
C4.7(C6×Q8) = C3×C8⋊2Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4.7(C6xQ8)192,933
C4.8(C6×Q8) = C3×C8⋊Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4.8(C6xQ8)192,934
C4.9(C6×Q8) = C6×C42.C2φ: C6×Q8/C2×C12 → C2 ⊆ Aut C4192C4.9(C6xQ8)192,1416
C4.10(C6×Q8) = C3×C23.37C23φ: C6×Q8/C2×C12 → C2 ⊆ Aut C496C4.10(C6xQ8)192,1422
C4.11(C6×Q8) = C3×C23.41C23φ: C6×Q8/C2×C12 → C2 ⊆ Aut C496C4.11(C6xQ8)192,1433
C4.12(C6×Q8) = C3×D4⋊Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C496C4.12(C6xQ8)192,907
C4.13(C6×Q8) = C3×Q8⋊Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C4192C4.13(C6xQ8)192,908
C4.14(C6×Q8) = C3×D4⋊2Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C496C4.14(C6xQ8)192,909
C4.15(C6×Q8) = C3×C4.Q16φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C4192C4.15(C6xQ8)192,910
C4.16(C6×Q8) = C3×D4.Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C496C4.16(C6xQ8)192,911
C4.17(C6×Q8) = C3×Q8.Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C4192C4.17(C6xQ8)192,912
C4.18(C6×Q8) = C3×D4⋊3Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C496C4.18(C6xQ8)192,1443
C4.19(C6×Q8) = C3×Q8⋊3Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C4192C4.19(C6xQ8)192,1446
C4.20(C6×Q8) = C3×Q82φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C4192C4.20(C6xQ8)192,1447
C4.21(C6×Q8) = C6×C4⋊C8central extension (φ=1)192C4.21(C6xQ8)192,855
C4.22(C6×Q8) = C3×C4⋊M4(2)central extension (φ=1)96C4.22(C6xQ8)192,856
C4.23(C6×Q8) = C3×C42.6C22central extension (φ=1)96C4.23(C6xQ8)192,857
C4.24(C6×Q8) = Q8×C24central extension (φ=1)192C4.24(C6xQ8)192,878
C4.25(C6×Q8) = C3×C8⋊4Q8central extension (φ=1)192C4.25(C6xQ8)192,879

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