Extensions 1→N→G→Q→1 with N=C₄.F₅ and Q=S₃

Direct product G=N×Q with N=C₄.F₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₄.F₅		120	8	S3xC4.F5	480,988

Semidirect products G=N:Q with N=C₄.F₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.F₅⋊₁S₃ = D₁₂⋊₄F₅	φ: S₃/C₃ → C₂ ⊆ Out C₄.F₅	120	8-	C4.F5:1S3	480,231
C₄.F₅⋊₂S₃ = D₆₀⋊₂C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.F₅	120	8+	C4.F5:2S3	480,233
C₄.F₅⋊₃S₃ = D₁₂.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₄.F₅	240	8-	C4.F5:3S3	480,989
C₄.F₅⋊₄S₃ = Dic₆.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₄.F₅	240	8+	C4.F5:4S3	480,992
C₄.F₅⋊₅S₃ = D₁₅⋊M₄(2)	φ: trivial image	120	8	C4.F5:5S3	480,991

Non-split extensions G=N.Q with N=C₄.F₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.F₅.₁S₃ = D₁₀.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.F₅	240	8	C4.F5.1S3	480,237
C₄.F₅.₂S₃ = D₁₀.₂Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.F₅	240	8	C4.F5.2S3	480,238

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