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
C₄×C₂²⋊F₅		80		C4xC2^2:F5	320,1101

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅⋊₁C₄ = (C₂²×F₅)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊F₅	40	8+	C2^2:F5:1C4	320,204
C₂²⋊F₅⋊₂C₄ = C₂²⋊F₅⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊F₅	80		C2^2:F5:2C4	320,255
C₂²⋊F₅⋊₃C₄ = C₂²⋊C₄×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊F₅	40		C2^2:F5:3C4	320,1036

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅.₁C₄ = (C₂×C₈)⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊F₅	80	4	C2^2:F5.1C4	320,232
C₂²⋊F₅.₂C₄ = M₄(2)⋊₄F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊F₅	80	8	C2^2:F5.2C4	320,240
C₂²⋊F₅.₃C₄ = M₄(2)⋊₅F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊F₅	80	8	C2^2:F5.3C4	320,1066
C₂²⋊F₅.₄C₄ = C₂₀.₁₂C₄²	φ: trivial image	80	4	C2^2:F5.4C4	320,1056

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