Extensions 1→N→G→Q→1 with N=C₂×F₅ and Q=C₂²

Direct product G=N×Q with N=C₂×F₅ and Q=C₂²

		d	ρ	Label	ID
C₂³×F₅		40		C2^3xF5	160,236

Semidirect products G=N:Q with N=C₂×F₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊C₂² = C₂×C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₅	40		(C2xF5):C2^2	160,212

Non-split extensions G=N.Q with N=C₂×F₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).₁C₂² = C₂×C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₅	40		(C2xF5).1C2^2	160,204
(C₂×F₅).₂C₂² = D₁₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₅	40	4	(C2xF5).2C2^2	160,205
(C₂×F₅).₃C₂² = D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₅	20	8+	(C2xF5).3C2^2	160,207
(C₂×F₅).₄C₂² = Q₈×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₅	40	8-	(C2xF5).4C2^2	160,209
(C₂×F₅).₅C₂² = C₂×C₄×F₅	φ: trivial image	40		(C2xF5).5C2^2	160,203

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