Extensions 1→N→G→Q→1 with N=C₆.₅S₄ and Q=C₂

Direct product G=N×Q with N=C₆.₅S₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆.₅S₄		96		C2xC6.5S4	288,910

Semidirect products G=N:Q with N=C₆.₅S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.₅S₄⋊₁C₂ = CSU₂(𝔽₃)⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆.₅S₄	96	4	C6.5S4:1C2	288,844
C₆.₅S₄⋊₂C₂ = Dic₃.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₅S₄	48	4	C6.5S4:2C2	288,845
C₆.₅S₄⋊₃C₂ = S₃×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₆.₅S₄	48	4-	C6.5S4:3C2	288,848
C₆.₅S₄⋊₄C₂ = D₆.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₅S₄	48	4-	C6.5S4:4C2	288,849
C₆.₅S₄⋊₅C₂ = SL₂(𝔽₃).D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.₅S₄	48	4	C6.5S4:5C2	288,912
C₆.₅S₄⋊₆C₂ = C₁₂.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₅S₄	96	4-	C6.5S4:6C2	288,913
C₆.₅S₄⋊₇C₂ = C₁₂.₁₄S₄	φ: trivial image	48	4	C6.5S4:7C2	288,914

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁