Extensions 1→N→G→Q→1 with N=C₅×Dic₆ and Q=C₄

Direct product G=N×Q with N=C₅×Dic₆ and Q=C₄

		d	ρ	Label	ID
C₂₀×Dic₆		480		C20xDic6	480,747

Semidirect products G=N:Q with N=C₅×Dic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₆)⋊₁C₄ = Dic₆⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	120	8-	(C5xDic6):1C4	480,229
(C₅×Dic₆)⋊₂C₄ = D₆₀⋊₂C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	120	8+	(C5xDic6):2C4	480,233
(C₅×Dic₆)⋊₃C₄ = Dic₆⋊₅F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	120	8-	(C5xDic6):3C4	480,984
(C₅×Dic₆)⋊₄C₄ = Dic₃₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	120	8-	(C5xDic6):4C4	480,230
(C₅×Dic₆)⋊₅C₄ = D₆₀⋊₅C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	120	8+	(C5xDic6):5C4	480,234
(C₅×Dic₆)⋊₆C₄ = F₅×Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	120	8-	(C5xDic6):6C4	480,982
(C₅×Dic₆)⋊₇C₄ = C₁₀.Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	480		(C5xDic6):7C4	480,49
(C₅×Dic₆)⋊₈C₄ = C₆₀.₉₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):8C4	480,55
(C₅×Dic₆)⋊₉C₄ = Dic₅×Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	480		(C5xDic6):9C4	480,408
(C₅×Dic₆)⋊₁₀C₄ = Dic₆⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	480		(C5xDic6):10C4	480,48
(C₅×Dic₆)⋊₁₁C₄ = C₆₀.₉₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):11C4	480,54
(C₅×Dic₆)⋊₁₂C₄ = Dic₁₅⋊₇Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	480		(C5xDic6):12C4	480,420
(C₅×Dic₆)⋊₁₃C₄ = C₅×C₄²⋊₄S₃	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	120	2	(C5xDic6):13C4	480,124
(C₅×Dic₆)⋊₁₄C₄ = C₅×C₂.Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	480		(C5xDic6):14C4	480,135
(C₅×Dic₆)⋊₁₅C₄ = C₅×C₆.SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	480		(C5xDic6):15C4	480,129
(C₅×Dic₆)⋊₁₆C₄ = C₅×D₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):16C4	480,144
(C₅×Dic₆)⋊₁₇C₄ = C₅×Dic₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	480		(C5xDic6):17C4	480,766

Non-split extensions G=N.Q with N=C₅×Dic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₆).₁C₄ = Dic₆.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	240	8+	(C5xDic6).1C4	480,992
(C₅×Dic₆).₂C₄ = D₆₀.C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₆	240	8+	(C5xDic6).2C4	480,990
(C₅×Dic₆).₃C₄ = D₁₂.₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	240	4	(C5xDic6).3C4	480,362
(C₅×Dic₆).₄C₄ = D₁₂.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	240	4	(C5xDic6).4C4	480,364
(C₅×Dic₆).₅C₄ = C₅×D₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₆	240	4	(C5xDic6).5C4	480,786
(C₅×Dic₆).₆C₄ = C₅×C₈○D₁₂	φ: trivial image	240	2	(C5xDic6).6C4	480,780

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