Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂⋊S₃

Direct product G=N×Q with N=C₃ and Q=C₁₂⋊S₃

		d	ρ	Label	ID
C₃×C₁₂⋊S₃		72		C3xC12:S3	216,142

Semidirect products G=N:Q with N=C₃ and Q=C₁₂⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂⋊S₃) = C₃³⋊₁₂D₄	φ: C₁₂⋊S₃/C₃×C₁₂ → C₂ ⊆ Aut C₃	108		C3:1(C12:S3)	216,147
C₃⋊₂(C₁₂⋊S₃) = C₃³⋊₈D₄	φ: C₁₂⋊S₃/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₃	36		C3:2(C12:S3)	216,129

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂⋊S₃) = C₃₆⋊S₃	φ: C₁₂⋊S₃/C₃×C₁₂ → C₂ ⊆ Aut C₃	108		C3.(C12:S3)	216,65
C₃.₂(C₁₂⋊S₃) = He₃⋊₅D₄	central stem extension (φ=1)	36	6	C3.2(C12:S3)	216,68

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12⋊S3