Extensions 1→N→G→Q→1 with N=C₉⋊S₃ and Q=C₆

Direct product G=N×Q with N=C₉⋊S₃ and Q=C₆

		d	ρ	Label	ID
C₆×C₉⋊S₃		108		C6xC9:S3	324,142

Semidirect products G=N:Q with N=C₉⋊S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊S₃⋊C₆ = S₃×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉⋊S₃	18	12+	C9:S3:C6	324,118
C₉⋊S₃⋊₂C₆ = C₂×C₃²⋊D₉	φ: C₆/C₂ → C₃ ⊆ Out C₉⋊S₃	54		C9:S3:2C6	324,63
C₉⋊S₃⋊₃C₆ = C₂×He₃.S₃	φ: C₆/C₂ → C₃ ⊆ Out C₉⋊S₃	54	6+	C9:S3:3C6	324,71
C₉⋊S₃⋊₄C₆ = C₂×He₃.₂S₃	φ: C₆/C₂ → C₃ ⊆ Out C₉⋊S₃	54	6+	C9:S3:4C6	324,73
C₉⋊S₃⋊₅C₆ = C₂×C₃³.S₃	φ: C₆/C₂ → C₃ ⊆ Out C₉⋊S₃	54		C9:S3:5C6	324,146
C₉⋊S₃⋊₆C₆ = C₂×He₃.₄S₃	φ: C₆/C₂ → C₃ ⊆ Out C₉⋊S₃	54	6+	C9:S3:6C6	324,147
C₉⋊S₃⋊₇C₆ = C₃×S₃×D₉	φ: C₆/C₃ → C₂ ⊆ Out C₉⋊S₃	36	4	C9:S3:7C6	324,114

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁