Extensions 1→N→G→Q→1 with N=C₂₇ and Q=S₃

Direct product G=N×Q with N=C₂₇ and Q=S₃

		d	ρ	Label	ID
S₃×C₂₇		54	2	S3xC27	162,8

Semidirect products G=N:Q with N=C₂₇ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊S₃ = C₂₇⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₇	81		C27:S3	162,18

Non-split extensions G=N.Q with N=C₂₇ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇.S₃ = D₈₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂₇	81	2+	C27.S3	162,1

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Extensions 1→N→G→Q→1 with N=C27 and Q=S3