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		240		C6xC2^2.F5	480,1058

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×C₂³.F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂².F₅	120	4	C2^2.F5:1C6	480,293
C₂².F₅⋊₂C₆ = C₃×D₄.F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂².F₅	240	8	C2^2.F5:2C6	480,1053
C₂².F₅⋊₃C₆ = C₃×D₅⋊M₄(2)	φ: trivial image	120	4	C2^2.F5:3C6	480,1049

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×Dic₅.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂².F₅	240	4	C2^2.F5.C6	480,285

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