Extensions 1→N→G→Q→1 with N=C₂×F₅ and Q=C₆

Direct product G=N×Q with N=C₂×F₅ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×F₅		60		C2xC6xF5	240,200

Semidirect products G=N:Q with N=C₂×F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊C₆ = C₃×C₂²⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×F₅	60	4	(C2xF5):C6	240,117

Non-split extensions G=N.Q with N=C₂×F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).C₆ = C₃×C₄⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×F₅	60	4	(C2xF5).C6	240,114
(C₂×F₅).₂C₆ = C₁₂×F₅	φ: trivial image	60	4	(C2xF5).2C6	240,113

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Extensions 1→N→G→Q→1 with N=C2×F5 and Q=C6