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

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

		d	ρ	Label	ID
C₃⋊S₃×C₂₇		162		C3:S3xC27	486,161

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊(C₃⋊S₃) = C₃²⋊₄D₂₇	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₇	243		C27:(C3:S3)	486,184

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇.(C₃⋊S₃) = C₈₁⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₇	243		C27.(C3:S3)	486,60
C₂₇.₂(C₃⋊S₃) = He₃.₅C₁₈	central extension (φ=1)	81	3	C27.2(C3:S3)	486,164

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