Extensions 1→N→G→Q→1 with N=C₅₄ and Q=S₃

Direct product G=N×Q with N=C₅₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₅₄		108	2	S3xC54	324,66

Semidirect products G=N:Q with N=C₅₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄⋊S₃ = C₂×C₂₇⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₅₄	162		C54:S3	324,76

Non-split extensions G=N.Q with N=C₅₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄.₁S₃ = Dic₈₁	φ: S₃/C₃ → C₂ ⊆ Aut C₅₄	324	2-	C54.1S3	324,1
C₅₄.₂S₃ = D₁₆₂	φ: S₃/C₃ → C₂ ⊆ Aut C₅₄	162	2+	C54.2S3	324,4
C₅₄.₃S₃ = C₂₇⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₅₄	324		C54.3S3	324,21
C₅₄.₄S₃ = Dic₃×C₂₇	central extension (φ=1)	108	2	C54.4S3	324,11

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Extensions 1→N→G→Q→1 with N=C54 and Q=S3