Extensions 1→N→G→Q→1 with N=C₉⋊S₃ and Q=C₉

Direct product G=N×Q with N=C₉⋊S₃ and Q=C₉

		d	ρ	Label	ID
C₉×C₉⋊S₃		54		C9xC9:S3	486,133

Semidirect products G=N:Q with N=C₉⋊S₃ and Q=C₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊S₃⋊₁C₉ = C₉⋊S₃⋊C₉	φ: C₉/C₃ → C₃ ⊆ Out C₉⋊S₃	54		C9:S3:1C9	486,3
C₉⋊S₃⋊₂C₉ = (C₃×C₉)⋊C₁₈	φ: C₉/C₃ → C₃ ⊆ Out C₉⋊S₃	54	6	C9:S3:2C9	486,20
C₉⋊S₃⋊₃C₉ = C₉⋊S₃⋊₃C₉	φ: C₉/C₃ → C₃ ⊆ Out C₉⋊S₃	54	6	C9:S3:3C9	486,22
C₉⋊S₃⋊₄C₉ = C₉⋊(S₃×C₉)	φ: C₉/C₃ → C₃ ⊆ Out C₉⋊S₃	54		C9:S3:4C9	486,138
C₉⋊S₃⋊₅C₉ = C₉²⋊₃S₃	φ: C₉/C₃ → C₃ ⊆ Out C₉⋊S₃	54	6	C9:S3:5C9	486,139

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁