Extensions 1→N→G→Q→1 with N=C23 and Q=C3×C12

Direct product G=N×Q with N=C23 and Q=C3×C12

Semidirect products G=N:Q with N=C23 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C23⋊(C3×C12) = C32×C23⋊C4φ: C3×C12/C32C4 ⊆ Aut C2372C2^3:(C3xC12)288,317
C232(C3×C12) = A4×C2×C12φ: C3×C12/C12C3 ⊆ Aut C2372C2^3:2(C3xC12)288,979
C233(C3×C12) = C22⋊C4×C3×C6φ: C3×C12/C3×C6C2 ⊆ Aut C23144C2^3:3(C3xC12)288,812

Non-split extensions G=N.Q with N=C23 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C23.(C3×C12) = C32×C4.D4φ: C3×C12/C32C4 ⊆ Aut C2372C2^3.(C3xC12)288,318
C23.2(C3×C12) = A4×C24φ: C3×C12/C12C3 ⊆ Aut C23723C2^3.2(C3xC12)288,637
C23.3(C3×C12) = C32×C22⋊C8φ: C3×C12/C3×C6C2 ⊆ Aut C23144C2^3.3(C3xC12)288,316
C23.4(C3×C12) = M4(2)×C3×C6φ: C3×C12/C3×C6C2 ⊆ Aut C23144C2^3.4(C3xC12)288,827