Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=Dic₃

Direct product G=N×Q with N=C₄×D₅ and Q=Dic₃

		d	ρ	Label	ID
C₄×D₅×Dic₃		240		C4xD5xDic3	480,467

Semidirect products G=N:Q with N=C₄×D₅ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁Dic₃ = (C₄×D₅)⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5):1Dic3	480,434
(C₄×D₅)⋊₂Dic₃ = D₅×C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5):2Dic3	480,488
(C₄×D₅)⋊₃Dic₃ = (D₅×C₁₂)⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5):3Dic3	480,433
(C₄×D₅)⋊₄Dic₃ = C₂×C₆₀⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	120		(C4xD5):4Dic3	480,1064
(C₄×D₅)⋊₅Dic₃ = (C₂×C₁₂)⋊₆F₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5):5Dic3	480,1065
(C₄×D₅)⋊₆Dic₃ = C₂×C₄×C₃⋊F₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	120		(C4xD5):6Dic3	480,1063

Non-split extensions G=N.Q with N=C₄×D₅ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁Dic₃ = D₅×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5).1Dic3	480,358
(C₄×D₅).₂Dic₃ = C₄₀.₅₁D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240	4	(C4xD5).2Dic3	480,10
(C₄×D₅).₃Dic₃ = C₂×C₂₀.₃₂D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5).3Dic3	480,369
(C₄×D₅).₄Dic₃ = C₂×C₁₂.F₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5).4Dic3	480,1061
(C₄×D₅).₅Dic₃ = C₆₀.₅₉(C₂×C₄)	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5).5Dic3	480,1062
(C₄×D₅).₆Dic₃ = C₂₄.F₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240	4	(C4xD5).6Dic3	480,294
(C₄×D₅).₇Dic₃ = C₁₂₀.C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240	4	(C4xD5).7Dic3	480,295
(C₄×D₅).₈Dic₃ = C₂×C₆₀.C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×D₅	240		(C4xD5).8Dic3	480,1060
(C₄×D₅).₉Dic₃ = D₅×C₃⋊C₁₆	φ: trivial image	240	4	(C4xD5).9Dic3	480,7
(C₄×D₅).₁₀Dic₃ = C₂×D₅×C₃⋊C₈	φ: trivial image	240		(C4xD5).10Dic3	480,357

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