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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊S₃⋊₁C₃ = C₃²⋊D₂₇	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊S₃	81		C27:S3:1C3	486,17
C₂₇⋊S₃⋊₂C₃ = He₃.D₉	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊S₃	81	6+	C27:S3:2C3	486,27
C₂₇⋊S₃⋊₃C₃ = He₃.₂D₉	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊S₃	81	6+	C27:S3:3C3	486,29
C₂₇⋊S₃⋊₄C₃ = C₃³.₅D₉	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊S₃	81		C27:S3:4C3	486,162
C₂₇⋊S₃⋊₅C₃ = He₃.₅D₉	φ: C₃/C₁ → C₃ ⊆ Out C₂₇⋊S₃	81	6+	C27:S3:5C3	486,163

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