Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=C₁₂

Direct product G=N×Q with N=C₄×D₅ and Q=C₁₂

		d	ρ	Label	ID
D₅×C₄×C₁₂		240		D5xC4xC12	480,664

Semidirect products G=N:Q with N=C₄×D₅ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁C₁₂ = C₃×D₅×C₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5):1C12	480,684
(C₄×D₅)⋊₂C₁₂ = C₃×C₄⋊C₄⋊₇D₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5):2C12	480,685
(C₄×D₅)⋊₃C₁₂ = C₃×C₄²⋊D₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5):3C12	480,665
(C₄×D₅)⋊₄C₁₂ = C₆×C₄⋊F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	120		(C4xD5):4C12	480,1051
(C₄×D₅)⋊₅C₁₂ = F₅×C₂×C₁₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	120		(C4xD5):5C12	480,1050
(C₄×D₅)⋊₆C₁₂ = C₃×D₁₀.C₂³	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5):6C12	480,1052

Non-split extensions G=N.Q with N=C₄×D₅ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁C₁₂ = C₃×D₅×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5).1C12	480,699
(C₄×D₅).₂C₁₂ = C₃×C₈₀⋊C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240	2	(C4xD5).2C12	480,76
(C₄×D₅).₃C₁₂ = C₆×C₈⋊D₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5).3C12	480,693
(C₄×D₅).₄C₁₂ = C₆×C₄.F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5).4C12	480,1048
(C₄×D₅).₅C₁₂ = C₃×D₅⋊C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240	4	(C4xD5).5C12	480,269
(C₄×D₅).₆C₁₂ = C₃×C₈.F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240	4	(C4xD5).6C12	480,270
(C₄×D₅).₇C₁₂ = C₆×D₅⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5).7C12	480,1047
(C₄×D₅).₈C₁₂ = C₃×D₅⋊M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5).8C12	480,1049
(C₄×D₅).₉C₁₂ = D₅×C₄₈	φ: trivial image	240	2	(C4xD5).9C12	480,75
(C₄×D₅).₁₀C₁₂ = D₅×C₂×C₂₄	φ: trivial image	240		(C4xD5).10C12	480,692

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