Extensions 1→N→G→Q→1 with N=D₆⋊F₅ and Q=C₂

Direct product G=N×Q with N=D₆⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₆⋊F₅		120		C2xD6:F5	480,1000

Semidirect products G=N:Q with N=D₆⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊F₅⋊₁C₂ = F₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊F₅	60	8+	D6:F5:1C2	480,995
D₆⋊F₅⋊₂C₂ = D₆₀⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊F₅	60	8+	D6:F5:2C2	480,997
D₆⋊F₅⋊₃C₂ = F₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊F₅	60	8	D6:F5:3C2	480,1010
D₆⋊F₅⋊₄C₂ = S₃×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊F₅	60	8+	D6:F5:4C2	480,1011
D₆⋊F₅⋊₅C₂ = C₃⋊D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊F₅	60	8	D6:F5:5C2	480,1012

Non-split extensions G=N.Q with N=D₆⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊F₅.C₂ = C₄⋊F₅⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆⋊F₅	120	8	D6:F5.C2	480,983
D₆⋊F₅.₂C₂ = (C₄×S₃)⋊F₅	φ: trivial image	120	8	D6:F5.2C2	480,985

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