Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃⋊S₃

Direct product G=N×Q with N=C₄ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₄×C₃⋊S₃		36		C4xC3:S3	72,32

Semidirect products G=N:Q with N=C₄ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃⋊S₃) = C₁₂⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₄	36		C4:(C3:S3)	72,33

Non-split extensions G=N.Q with N=C₄ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃⋊S₃) = C₃²⋊₄Q₈	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₄	72		C4.(C3:S3)	72,31
C₄.₂(C₃⋊S₃) = C₃²⋊₄C₈	central extension (φ=1)	72		C4.2(C3:S3)	72,13

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3⋊S3