Extensions 1→N→G→Q→1 with N=S₃×C₂₇ and Q=C₃

Direct product G=N×Q with N=S₃×C₂₇ and Q=C₃

		d	ρ	Label	ID
S₃×C₃×C₂₇		162		S3xC3xC27	486,112

Semidirect products G=N:Q with N=S₃×C₂₇ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₇)⋊C₃ = S₃×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₂₇	54	6	(S3xC27):C3	486,114

Non-split extensions G=N.Q with N=S₃×C₂₇ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₇).C₃ = S₃×C₈₁	φ: trivial image	162	2	(S3xC27).C3	486,33

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Extensions 1→N→G→Q→1 with N=S3×C27 and Q=C3