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

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

		d	ρ	Label	ID
C₂²×F₅		20		C2^2xF5	80,50

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊C₂ = C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×F₅	20	4+	(C2xF5):C2	80,34

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).C₂ = C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×F₅	20	4	(C2xF5).C2	80,31
(C₂×F₅).₂C₂ = C₄×F₅	φ: trivial image	20	4	(C2xF5).2C2	80,30

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