Extensions 1→N→G→Q→1 with N=C₂²⋊F₅ and Q=C₆

Direct product G=N×Q with N=C₂²⋊F₅ and Q=C₆

		d	ρ	Label	ID
C₆×C₂²⋊F₅		120		C6xC2^2:F5	480,1059

Semidirect products G=N:Q with N=C₂²⋊F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅⋊₁C₆ = C₃×D₁₀.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊F₅	120	4	C2^2:F5:1C6	480,279
C₂²⋊F₅⋊₂C₆ = C₃×C₂³⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊F₅	120	4	C2^2:F5:2C6	480,291
C₂²⋊F₅⋊₃C₆ = C₃×D₄×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊F₅	60	8	C2^2:F5:3C6	480,1054

Non-split extensions G=N.Q with N=C₂²⋊F₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅.C₆ = C₃×D₁₀.C₂³	φ: trivial image	120	4	C2^2:F5.C6	480,1052

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Extensions 1→N→G→Q→1 with N=C22⋊F5 and Q=C6