Extensions 1→N→G→Q→1 with N=C₃×C₂².F₅ and Q=C₂

Direct product G=N×Q with N=C₃×C₂².F₅ and Q=C₂

		d	ρ	Label	ID
C₆×C₂².F₅		240		C6xC2^2.F5	480,1058

Semidirect products G=N:Q with N=C₃×C₂².F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂².F₅)⋊₁C₂ = Dic₅.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	120	8+	(C3xC2^2.F5):1C2	480,250
(C₃×C₂².F₅)⋊₂C₂ = S₃×C₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	120	8-	(C3xC2^2.F5):2C2	480,1004
(C₃×C₂².F₅)⋊₃C₂ = D₁₅⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	240	8	(C3xC2^2.F5):3C2	480,1005
(C₃×C₂².F₅)⋊₄C₂ = D₁₅⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	120	8+	(C3xC2^2.F5):4C2	480,1007
(C₃×C₂².F₅)⋊₅C₂ = C₃×C₂³.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	120	4	(C3xC2^2.F5):5C2	480,293
(C₃×C₂².F₅)⋊₆C₂ = C₃×D₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	240	8	(C3xC2^2.F5):6C2	480,1053
(C₃×C₂².F₅)⋊₇C₂ = C₃×D₅⋊M₄(2)	φ: trivial image	120	4	(C3xC2^2.F5):7C2	480,1049

Non-split extensions G=N.Q with N=C₃×C₂².F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂².F₅).₁C₂ = Dic₅.₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	240	8-	(C3xC2^2.F5).1C2	480,251
(C₃×C₂².F₅).₂C₂ = C₃×Dic₅.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₂².F₅	240	4	(C3xC2^2.F5).2C2	480,285

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