Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C3×C6

Direct product G=N×Q with N=C2×C4 and Q=C3×C6
dρLabelID
C2×C6×C12144C2xC6xC12144,178

Semidirect products G=N:Q with N=C2×C4 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C3×C6) = C32×C22⋊C4φ: C3×C6/C32C2 ⊆ Aut C2×C472(C2xC4):1(C3xC6)144,102
(C2×C4)⋊2(C3×C6) = D4×C3×C6φ: C3×C6/C32C2 ⊆ Aut C2×C472(C2xC4):2(C3xC6)144,179
(C2×C4)⋊3(C3×C6) = C32×C4○D4φ: C3×C6/C32C2 ⊆ Aut C2×C472(C2xC4):3(C3xC6)144,181

Non-split extensions G=N.Q with N=C2×C4 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C3×C6) = C32×C4⋊C4φ: C3×C6/C32C2 ⊆ Aut C2×C4144(C2xC4).1(C3xC6)144,103
(C2×C4).2(C3×C6) = C32×M4(2)φ: C3×C6/C32C2 ⊆ Aut C2×C472(C2xC4).2(C3xC6)144,105
(C2×C4).3(C3×C6) = Q8×C3×C6φ: C3×C6/C32C2 ⊆ Aut C2×C4144(C2xC4).3(C3xC6)144,180

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