Extensions 1→N→G→Q→1 with N=C₅×Dic₃ and Q=C₄

Direct product G=N×Q with N=C₅×Dic₃ and Q=C₄

		d	ρ	Label	ID
Dic₃×C₂₀		240		Dic3xC20	240,56

Semidirect products G=N:Q with N=C₅×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃)⋊₁C₄ = Dic₃×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₃	60	8-	(C5xDic3):1C4	240,95
(C₅×Dic₃)⋊₂C₄ = Dic₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₃	60	8-	(C5xDic3):2C4	240,97
(C₅×Dic₃)⋊₃C₄ = Dic₃×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₃	240		(C5xDic3):3C4	240,25
(C₅×Dic₃)⋊₄C₄ = C₆.Dic₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₃	240		(C5xDic3):4C4	240,31
(C₅×Dic₃)⋊₅C₄ = C₅×Dic₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₃	240		(C5xDic3):5C4	240,57

Non-split extensions G=N.Q with N=C₅×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃).₁C₄ = D₁₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₃	120	8+	(C5xDic3).1C4	240,99
(C₅×Dic₃).₂C₄ = Dic₃.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₃	120	8+	(C5xDic3).2C4	240,101
(C₅×Dic₃).₃C₄ = S₃×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3).3C4	240,8
(C₅×Dic₃).₄C₄ = D₆.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3).4C4	240,11
(C₅×Dic₃).₅C₄ = C₅×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₃	120	2	(C5xDic3).5C4	240,50
(C₅×Dic₃).₆C₄ = S₃×C₄₀	φ: trivial image	120	2	(C5xDic3).6C4	240,49

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