Extensions 1→N→G→Q→1 with N=C₂².F₅ and Q=S₃

Direct product G=N×Q with N=C₂².F₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₂².F₅		120	8-	S3xC2^2.F5	480,1004

Semidirect products G=N:Q with N=C₂².F₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².F₅⋊₁S₃ = Dic₅.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂².F₅	120	8+	C2^2.F5:1S3	480,250
C₂².F₅⋊₂S₃ = D₁₅⋊C₈⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₂².F₅	240	8	C2^2.F5:2S3	480,1005
C₂².F₅⋊₃S₃ = D₁₅⋊₂M₄(2)	φ: trivial image	120	8+	C2^2.F5:3S3	480,1007

Non-split extensions G=N.Q with N=C₂².F₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².F₅.S₃ = Dic₅.₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂².F₅	240	8-	C2^2.F5.S3	480,251

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Extensions 1→N→G→Q→1 with N=C22.F5 and Q=S3