Extensions 1→N→G→Q→1 with N=C₂²×D₅ and Q=C₁₂

Direct product G=N×Q with N=C₂²×D₅ and Q=C₁₂

		d	ρ	Label	ID
D₅×C₂²×C₁₂		240		D5xC2^2xC12	480,1136

Semidirect products G=N:Q with N=C₂²×D₅ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊C₁₂ = C₂×A₄×F₅	φ: C₁₂/C₂ → C₆ ⊆ Out C₂²×D₅	30	12+	(C2^2xD5):C12	480,1192
(C₂²×D₅)⋊₂C₁₂ = C₃×C₂³.₁D₁₀	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5):2C12	480,84
(C₂²×D₅)⋊₃C₁₂ = C₃×D₁₀.D₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5):3C12	480,279
(C₂²×D₅)⋊₄C₁₂ = C₄×D₅×A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₂²×D₅	60	6	(C2^2xD5):4C12	480,1036
(C₂²×D₅)⋊₅C₁₂ = C₃×D₅×C₂²⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):5C12	480,673
(C₂²×D₅)⋊₆C₁₂ = C₆×D₁₀⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5):6C12	480,720
(C₂²×D₅)⋊₇C₁₂ = C₆×C₂²⋊F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):7C12	480,1059
(C₂²×D₅)⋊₈C₁₂ = F₅×C₂²×C₆	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):8C12	480,1205

Non-split extensions G=N.Q with N=C₂²×D₅ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).₁C₁₂ = C₃×C₂₀.₄₆D₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).1C12	480,101
(C₂²×D₅).₂C₁₂ = C₃×C₂³.F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).2C12	480,293
(C₂²×D₅).₃C₁₂ = C₃×D₁₀⋊₁C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).3C12	480,98
(C₂²×D₅).₄C₁₂ = C₆×C₈⋊D₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).4C12	480,693
(C₂²×D₅).₅C₁₂ = C₃×D₅×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).5C12	480,699
(C₂²×D₅).₆C₁₂ = C₃×D₁₀⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).6C12	480,283
(C₂²×D₅).₇C₁₂ = C₆×D₅⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).7C12	480,1047
(C₂²×D₅).₈C₁₂ = C₆×C₄.F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).8C12	480,1048
(C₂²×D₅).₉C₁₂ = C₃×D₅⋊M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).9C12	480,1049
(C₂²×D₅).₁₀C₁₂ = D₅×C₂×C₂₄	φ: trivial image	240		(C2^2xD5).10C12	480,692

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