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		60	8+	S3xC2^2:F5	480,1011

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅⋊₁S₃ = D₁₀.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊F₅	120	8-	C2^2:F5:1S3	480,248
C₂²⋊F₅⋊₂S₃ = D₁₀.₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊F₅	120	8+	C2^2:F5:2S3	480,249
C₂²⋊F₅⋊₃S₃ = C₃⋊D₄⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊F₅	60	8	C2^2:F5:3S3	480,1012

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 = C₂²⋊F₅.S₃	φ: trivial image	120	8-	C2^2:F5.S3	480,999

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