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

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

		d	ρ	Label	ID
C₃×C₂₇⋊S₃		162		C3xC27:S3	486,160

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂₇⋊S₃) = C₉⋊D₂₇	φ: C₂₇⋊S₃/C₃×C₂₇ → C₂ ⊆ Aut C₃	243		C3.1(C27:S3)	486,50
C₃.₂(C₂₇⋊S₃) = C₈₁⋊S₃	φ: C₂₇⋊S₃/C₃×C₂₇ → C₂ ⊆ Aut C₃	243		C3.2(C27:S3)	486,60
C₃.₃(C₂₇⋊S₃) = C₃²⋊₂D₂₇	central stem extension (φ=1)	54	6	C3.3(C27:S3)	486,51

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