Extensions 1→N→G→Q→1 with N=C₄:F₅ and Q=C₆

Direct product G=NxQ with N=C₄:F₅ and Q=C₆

		d	ρ	Label	ID
C₆xC₄:F₅		120		C6xC4:F5	480,1051

Semidirect products G=N:Q with N=C₄:F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:F₅:₁C₆ = C₃xD₂₀:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄:F₅	120	8	C4:F5:1C6	480,287
C₄:F₅:₂C₆ = C₃xD₄xF₅	φ: C₆/C₃ → C₂ ⊆ Out C₄:F₅	60	8	C4:F5:2C6	480,1054
C₄:F₅:₃C₆ = C₃xD₁₀.C₂³	φ: trivial image	120	4	C4:F5:3C6	480,1052

Non-split extensions G=N.Q with N=C₄:F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:F₅.₁C₆ = C₃xQ₈:F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄:F₅	120	8	C4:F5.1C6	480,289
C₄:F₅.₂C₆ = C₃xQ₈xF₅	φ: C₆/C₃ → C₂ ⊆ Out C₄:F₅	120	8	C4:F5.2C6	480,1056
C₄:F₅.₃C₆ = C₃xC₄₀:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄:F₅	120	4	C4:F5.3C6	480,273
C₄:F₅.₄C₆ = C₃xD₅.D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄:F₅	120	4	C4:F5.4C6	480,274

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