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

Direct product G=NxQ with N=C₄:F₅ and Q=S₃

		d	ρ	Label	ID
S₃xC₄:F₅		60	8	S3xC4:F5	480,996

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:F₅:₁S₃ = D₆₀:C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄:F₅	120	8+	C4:F5:1S3	480,227
C₄:F₅:₂S₃ = D₆₀:₃C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄:F₅	60	8+	C4:F5:2S3	480,997
C₄:F₅:₃S₃ = C₄:F₅:₃S₃	φ: trivial image	120	8	C4:F5:3S3	480,983

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 = Dic₆:F₅	φ: S₃/C₃ → C₂ ⊆ Out C₄:F₅	120	8-	C4:F5.1S3	480,229
C₄:F₅.₂S₃ = Dic₆:₅F₅	φ: S₃/C₃ → C₂ ⊆ Out C₄:F₅	120	8-	C4:F5.2S3	480,984
C₄:F₅.₃S₃ = Dic₅.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄:F₅	120	8	C4:F5.3S3	480,235
C₄:F₅.₄S₃ = Dic₅.₄Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄:F₅	120	8	C4:F5.4S3	480,236

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