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

Direct product G=N×Q with N=C₄⋊F₅ and Q=C₆

		d	ρ	Label	ID
C₆×C₄⋊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 = C₃×D₂₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊F₅	120	8	C4:F5:1C6	480,287
C₄⋊F₅⋊₂C₆ = C₃×D₄×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊F₅	60	8	C4:F5:2C6	480,1054
C₄⋊F₅⋊₃C₆ = C₃×D₁₀.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 = C₃×Q₈⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊F₅	120	8	C4:F5.1C6	480,289
C₄⋊F₅.₂C₆ = C₃×Q₈×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊F₅	120	8	C4:F5.2C6	480,1056
C₄⋊F₅.₃C₆ = C₃×C₄₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊F₅	120	4	C4:F5.3C6	480,273
C₄⋊F₅.₄C₆ = C₃×D₅.D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄⋊F₅	120	4	C4:F5.4C6	480,274

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