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Extensions 1→N→G→Q→1 with N=C22 and Q=C6×C12

Direct product G=N×Q with N=C22 and Q=C6×C12
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C22 and Q=C6×C12
extensionφ:Q→Aut NdρLabelID
C22⋊(C6×C12) = A4×C2×C12φ: C6×C12/C2×C12 → C3 ⊆ Aut C2272C2^2:(C6xC12)288,979
C22⋊2(C6×C12) = D4×C3×C12φ: C6×C12/C3×C12 → C2 ⊆ Aut C22144C2^2:2(C6xC12)288,815
C22⋊3(C6×C12) = C22⋊C4×C3×C6φ: C6×C12/C62 → C2 ⊆ Aut C22144C2^2:3(C6xC12)288,812

Non-split extensions G=N.Q with N=C22 and Q=C6×C12
extensionφ:Q→Aut NdρLabelID
C22.1(C6×C12) = C32×C8○D4φ: C6×C12/C3×C12 → C2 ⊆ Aut C22144C2^2.1(C6xC12)288,828
C22.2(C6×C12) = C32×C23⋊C4φ: C6×C12/C62 → C2 ⊆ Aut C2272C2^2.2(C6xC12)288,317
C22.3(C6×C12) = C32×C4.D4φ: C6×C12/C62 → C2 ⊆ Aut C2272C2^2.3(C6xC12)288,318
C22.4(C6×C12) = C32×C4.10D4φ: C6×C12/C62 → C2 ⊆ Aut C22144C2^2.4(C6xC12)288,319
C22.5(C6×C12) = C32×C42⋊C2φ: C6×C12/C62 → C2 ⊆ Aut C22144C2^2.5(C6xC12)288,814
C22.6(C6×C12) = C32×C2.C42central extension (φ=1)288C2^2.6(C6xC12)288,313
C22.7(C6×C12) = C32×C8⋊C4central extension (φ=1)288C2^2.7(C6xC12)288,315
C22.8(C6×C12) = C32×C22⋊C8central extension (φ=1)144C2^2.8(C6xC12)288,316
C22.9(C6×C12) = C32×C4⋊C8central extension (φ=1)288C2^2.9(C6xC12)288,323
C22.10(C6×C12) = C4⋊C4×C3×C6central extension (φ=1)288C2^2.10(C6xC12)288,813
C22.11(C6×C12) = M4(2)×C3×C6central extension (φ=1)144C2^2.11(C6xC12)288,827

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