Extensions 1→N→G→Q→1 with N=C₄ and Q=C₉⋊S₃

Direct product G=N×Q with N=C₄ and Q=C₉⋊S₃

		d	ρ	Label	ID
C₄×C₉⋊S₃		108		C4xC9:S3	216,64

Semidirect products G=N:Q with N=C₄ and Q=C₉⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₉⋊S₃) = C₃₆⋊S₃	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₄	108		C4:(C9:S3)	216,65

Non-split extensions G=N.Q with N=C₄ and Q=C₉⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₉⋊S₃) = C₁₂.D₉	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₄	216		C4.(C9:S3)	216,63
C₄.₂(C₉⋊S₃) = C₃₆.S₃	central extension (φ=1)	216		C4.2(C9:S3)	216,16

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Extensions 1→N→G→Q→1 with N=C4 and Q=C9⋊S3