Extensions 1→N→G→Q→1 with N=C₂×C₃⋊F₅ and Q=C₄

Direct product G=N×Q with N=C₂×C₃⋊F₅ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×C₃⋊F₅		120		C2xC4xC3:F5	480,1063

Semidirect products G=N:Q with N=C₂×C₃⋊F₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊F₅)⋊₁C₄ = D₁₀.₂₀D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃⋊F₅	120		(C2xC3:F5):1C4	480,243
(C₂×C₃⋊F₅)⋊₂C₄ = C₂×Dic₃×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃⋊F₅	120		(C2xC3:F5):2C4	480,998
(C₂×C₃⋊F₅)⋊₃C₄ = D₁₀.₁₀D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃⋊F₅	120		(C2xC3:F5):3C4	480,311

Non-split extensions G=N.Q with N=C₂×C₃⋊F₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊F₅).₁C₄ = C₃₀.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃⋊F₅	120	8	(C2xC3:F5).1C4	480,224
(C₂×C₃⋊F₅).₂C₄ = C₃₀.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃⋊F₅	120	8	(C2xC3:F5).2C4	480,226
(C₂×C₃⋊F₅).₃C₄ = C₂₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃⋊F₅	120	4	(C2xC3:F5).3C4	480,297
(C₂×C₃⋊F₅).₄C₄ = C₈×C₃⋊F₅	φ: trivial image	120	4	(C2xC3:F5).4C4	480,296

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