Extensions 1→N→G→Q→1 with N=C₃×C₂²⋊F₅ and Q=C₂

Direct product G=N×Q with N=C₃×C₂²⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₆×C₂²⋊F₅		120		C6xC2^2:F5	480,1059

Semidirect products G=N:Q with N=C₃×C₂²⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂²⋊F₅)⋊₁C₂ = D₁₀.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	120	8-	(C3xC2^2:F5):1C2	480,248
(C₃×C₂²⋊F₅)⋊₂C₂ = D₁₀.₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	120	8+	(C3xC2^2:F5):2C2	480,249
(C₃×C₂²⋊F₅)⋊₃C₂ = S₃×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	60	8+	(C3xC2^2:F5):3C2	480,1011
(C₃×C₂²⋊F₅)⋊₄C₂ = C₃⋊D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	60	8	(C3xC2^2:F5):4C2	480,1012
(C₃×C₂²⋊F₅)⋊₅C₂ = C₃×D₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	120	4	(C3xC2^2:F5):5C2	480,279
(C₃×C₂²⋊F₅)⋊₆C₂ = C₃×C₂³⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	120	4	(C3xC2^2:F5):6C2	480,291
(C₃×C₂²⋊F₅)⋊₇C₂ = C₃×D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	60	8	(C3xC2^2:F5):7C2	480,1054

Non-split extensions G=N.Q with N=C₃×C₂²⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂²⋊F₅).C₂ = C₂²⋊F₅.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂²⋊F₅	120	8-	(C3xC2^2:F5).C2	480,999
(C₃×C₂²⋊F₅).₂C₂ = C₃×D₁₀.C₂³	φ: trivial image	120	4	(C3xC2^2:F5).2C2	480,1052

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