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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(S₃×C₂₇) = C₃⋊S₃×C₂₇	φ: S₃×C₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	162		C3:(S3xC27)	486,161

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃×C₂₇) = D₉×C₂₇	φ: S₃×C₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	54	2	C3.1(S3xC27)	486,14
C₃.₂(S₃×C₂₇) = C₃²⋊C₅₄	φ: S₃×C₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	54	6	C3.2(S3xC27)	486,16
C₃.₃(S₃×C₂₇) = C₉⋊C₅₄	φ: S₃×C₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	54	6	C3.3(S3xC27)	486,30
C₃.₄(S₃×C₂₇) = S₃×C₈₁	central extension (φ=1)	162	2	C3.4(S3xC27)	486,33

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