Extensions 1→N→G→Q→1 with N=C₂³×F₅ and Q=C₂

Direct product G=N×Q with N=C₂³×F₅ and Q=C₂

		d	ρ	Label	ID
C₂⁴×F₅		80		C2^4xF5	320,1638

Semidirect products G=N:Q with N=C₂³×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×F₅)⋊₁C₂ = (C₂×F₅)⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×F₅	40		(C2^3xF5):1C2	320,1117
(C₂³×F₅)⋊₂C₂ = C₂×D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×F₅	40		(C2^3xF5):2C2	320,1595
(C₂³×F₅)⋊₃C₂ = C₂²×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×F₅	80		(C2^3xF5):3C2	320,1607

Non-split extensions G=N.Q with N=C₂³×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×F₅).₁C₂ = C₂²⋊C₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×F₅	40		(C2^3xF5).1C2	320,1036
(C₂³×F₅).₂C₂ = D₁₀⋊(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³×F₅	40		(C2^3xF5).2C2	320,1037
(C₂³×F₅).₃C₂ = C₂×D₁₀.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×F₅	80		(C2^3xF5).3C2	320,1100
(C₂³×F₅).₄C₂ = C₂²×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×F₅	80		(C2^3xF5).4C2	320,1591
(C₂³×F₅).₅C₂ = C₂²×C₄×F₅	φ: trivial image	80		(C2^3xF5).5C2	320,1590

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