Extensions 1→N→G→Q→1 with N=C3 and Q=D4×C3×C6

Direct product G=N×Q with N=C3 and Q=D4×C3×C6
dρLabelID
D4×C32×C6216D4xC3^2xC6432,731

Semidirect products G=N:Q with N=C3 and Q=D4×C3×C6
extensionφ:Q→Aut NdρLabelID
C31(D4×C3×C6) = C3×C6×D12φ: D4×C3×C6/C6×C12C2 ⊆ Aut C3144C3:1(D4xC3xC6)432,702
C32(D4×C3×C6) = S3×D4×C32φ: D4×C3×C6/D4×C32C2 ⊆ Aut C372C3:2(D4xC3xC6)432,704
C33(D4×C3×C6) = C3×C6×C3⋊D4φ: D4×C3×C6/C2×C62C2 ⊆ Aut C372C3:3(D4xC3xC6)432,709

Non-split extensions G=N.Q with N=C3 and Q=D4×C3×C6
extensionφ:Q→Aut NdρLabelID
C3.1(D4×C3×C6) = D4×C3×C18central extension (φ=1)216C3.1(D4xC3xC6)432,403
C3.2(D4×C3×C6) = C2×D4×He3central stem extension (φ=1)72C3.2(D4xC3xC6)432,404
C3.3(D4×C3×C6) = C2×D4×3- 1+2central stem extension (φ=1)72C3.3(D4xC3xC6)432,405

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