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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C12

Direct product G=N×Q with N=C6 and Q=C2×C12
dρLabelID
C2×C6×C12144C2xC6xC12144,178

Semidirect products G=N:Q with N=C6 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C12) = S3×C2×C12φ: C2×C12/C12 → C2 ⊆ Aut C648C6:1(C2xC12)144,159
C6⋊2(C2×C12) = Dic3×C2×C6φ: C2×C12/C2×C6 → C2 ⊆ Aut C648C6:2(C2xC12)144,166

Non-split extensions G=N.Q with N=C6 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C12) = S3×C24φ: C2×C12/C12 → C2 ⊆ Aut C6482C6.1(C2xC12)144,69
C6.2(C2×C12) = C3×C8⋊S3φ: C2×C12/C12 → C2 ⊆ Aut C6482C6.2(C2xC12)144,70
C6.3(C2×C12) = C3×Dic3⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C648C6.3(C2xC12)144,77
C6.4(C2×C12) = C3×D6⋊C4φ: C2×C12/C12 → C2 ⊆ Aut C648C6.4(C2xC12)144,79
C6.5(C2×C12) = C6×C3⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Aut C648C6.5(C2xC12)144,74
C6.6(C2×C12) = C3×C4.Dic3φ: C2×C12/C2×C6 → C2 ⊆ Aut C6242C6.6(C2xC12)144,75
C6.7(C2×C12) = Dic3×C12φ: C2×C12/C2×C6 → C2 ⊆ Aut C648C6.7(C2xC12)144,76
C6.8(C2×C12) = C3×C4⋊Dic3φ: C2×C12/C2×C6 → C2 ⊆ Aut C648C6.8(C2xC12)144,78
C6.9(C2×C12) = C3×C6.D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C624C6.9(C2xC12)144,84
C6.10(C2×C12) = C9×C22⋊C4central extension (φ=1)72C6.10(C2xC12)144,21
C6.11(C2×C12) = C9×C4⋊C4central extension (φ=1)144C6.11(C2xC12)144,22
C6.12(C2×C12) = C9×M4(2)central extension (φ=1)722C6.12(C2xC12)144,24
C6.13(C2×C12) = C32×C22⋊C4central extension (φ=1)72C6.13(C2xC12)144,102
C6.14(C2×C12) = C32×C4⋊C4central extension (φ=1)144C6.14(C2xC12)144,103
C6.15(C2×C12) = C32×M4(2)central extension (φ=1)72C6.15(C2xC12)144,105

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