Extensions 1→N→G→Q→1 with N=C₂×F₅ and Q=S₃

Direct product G=N×Q with N=C₂×F₅ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×F₅		30	8+	C2xS3xF5	240,195

Semidirect products G=N:Q with N=C₂×F₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅)⋊S₃ = D₆⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×F₅	60	8+	(C2xF5):S3	240,96

Non-split extensions G=N.Q with N=C₂×F₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₅).S₃ = Dic₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×F₅	60	8-	(C2xF5).S3	240,97
(C₂×F₅).₂S₃ = Dic₃×F₅	φ: trivial image	60	8-	(C2xF5).2S3	240,95

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Extensions 1→N→G→Q→1 with N=C2×F5 and Q=S3