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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C12

Direct product G=N×Q with N=C4 and Q=C2×C12
dρLabelID
C2×C4×C1296C2xC4xC1296,161

Semidirect products G=N:Q with N=C4 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×C12) = D4×C12φ: C2×C12/C12 → C2 ⊆ Aut C448C4:1(C2xC12)96,165
C4⋊2(C2×C12) = C6×C4⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C496C4:2(C2xC12)96,163

Non-split extensions G=N.Q with N=C4 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C12) = C3×D4⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C448C4.1(C2xC12)96,52
C4.2(C2×C12) = C3×Q8⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C496C4.2(C2xC12)96,53
C4.3(C2×C12) = C3×C4≀C2φ: C2×C12/C12 → C2 ⊆ Aut C4242C4.3(C2xC12)96,54
C4.4(C2×C12) = Q8×C12φ: C2×C12/C12 → C2 ⊆ Aut C496C4.4(C2xC12)96,166
C4.5(C2×C12) = C3×C8○D4φ: C2×C12/C12 → C2 ⊆ Aut C4482C4.5(C2xC12)96,178
C4.6(C2×C12) = C3×C4.Q8φ: C2×C12/C2×C6 → C2 ⊆ Aut C496C4.6(C2xC12)96,56
C4.7(C2×C12) = C3×C2.D8φ: C2×C12/C2×C6 → C2 ⊆ Aut C496C4.7(C2xC12)96,57
C4.8(C2×C12) = C3×C8.C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C4482C4.8(C2xC12)96,58
C4.9(C2×C12) = C3×C42⋊C2φ: C2×C12/C2×C6 → C2 ⊆ Aut C448C4.9(C2xC12)96,164
C4.10(C2×C12) = C6×M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C448C4.10(C2xC12)96,177
C4.11(C2×C12) = C3×C8⋊C4central extension (φ=1)96C4.11(C2xC12)96,47
C4.12(C2×C12) = C3×M5(2)central extension (φ=1)482C4.12(C2xC12)96,60

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