Extensions 1→N→G→Q→1 with N=C₂²×F₅ and Q=C₄

Direct product G=N×Q with N=C₂²×F₅ and Q=C₄

		d	ρ	Label	ID
C₂²×C₄×F₅		80		C2^2xC4xF5	320,1590

Semidirect products G=N:Q with N=C₂²×F₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₅)⋊C₄ = (C₂²×F₅)⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×F₅	40	8+	(C2^2xF5):C4	320,204
(C₂²×F₅)⋊₂C₄ = C₂²⋊C₄×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²×F₅	40		(C2^2xF5):2C4	320,1036
(C₂²×F₅)⋊₃C₄ = C₂×D₁₀.₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5):3C4	320,1100

Non-split extensions G=N.Q with N=C₂²×F₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₅).C₄ = M₄(2)⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂²×F₅	40	8	(C2^2xF5).C4	320,237
(C₂²×F₅).₂C₄ = D₁₀.₃M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).2C4	320,230
(C₂²×F₅).₃C₄ = C₂×C₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).3C4	320,1055
(C₂²×F₅).₄C₄ = M₄(2)×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²×F₅	40	8	(C2^2xF5).4C4	320,1064
(C₂²×F₅).₅C₄ = C₂×C₈×F₅	φ: trivial image	80		(C2^2xF5).5C4	320,1054

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