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

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

		d	ρ	Label	ID
S₃×C₂₇⋊C₃		54	6	S3xC27:C3	486,114

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊C₃⋊₁S₃ = C₃³.D₉	φ: S₃/C₁ → S₃ ⊆ Out C₂₇⋊C₃	27	6+	C27:C3:1S3	486,55
C₂₇⋊C₃⋊₂S₃ = He₃.₃D₉	φ: S₃/C₁ → S₃ ⊆ Out C₂₇⋊C₃	81	6+	C27:C3:2S3	486,58
C₂₇⋊C₃⋊₃S₃ = He₃.₄D₉	φ: S₃/C₁ → S₃ ⊆ Out C₂₇⋊C₃	81	6+	C27:C3:3S3	486,59
C₂₇⋊C₃⋊₄S₃ = C₃³.₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₂₇⋊C₃	81		C27:C3:4S3	486,162
C₂₇⋊C₃⋊₅S₃ = He₃.₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₂₇⋊C₃	81	6+	C27:C3:5S3	486,163

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