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

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

		d	ρ	Label	ID
C₂²×C₃⋊F₅		60		C2^2xC3:F5	240,201

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊F₅)⋊₁C₂ = D₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊F₅	60	8+	(C2xC3:F5):1C2	240,96
(C₂×C₃⋊F₅)⋊₂C₂ = C₂×S₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊F₅	30	8+	(C2xC3:F5):2C2	240,195
(C₂×C₃⋊F₅)⋊₃C₂ = D₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊F₅	60	4	(C2xC3:F5):3C2	240,124

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊F₅).₁C₂ = Dic₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊F₅	60	8-	(C2xC3:F5).1C2	240,95
(C₂×C₃⋊F₅).₂C₂ = Dic₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊F₅	60	8-	(C2xC3:F5).2C2	240,97
(C₂×C₃⋊F₅).₃C₂ = C₆₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊F₅	60	4	(C2xC3:F5).3C2	240,121
(C₂×C₃⋊F₅).₄C₂ = C₄×C₃⋊F₅	φ: trivial image	60	4	(C2xC3:F5).4C2	240,120

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