Extensions 1→N→G→Q→1 with N=Dic₆ and Q=F₅

Direct product G=N×Q with N=Dic₆ and Q=F₅

		d	ρ	Label	ID
F₅×Dic₆		120	8-	F5xDic6	480,982

Semidirect products G=N:Q with N=Dic₆ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁F₅ = Dic₃₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out Dic₆	120	8-	Dic6:1F5	480,230
Dic₆⋊₂F₅ = D₆₀⋊₅C₄	φ: F₅/D₅ → C₂ ⊆ Out Dic₆	120	8+	Dic6:2F5	480,234
Dic₆⋊₃F₅ = Dic₆⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out Dic₆	120	8-	Dic6:3F5	480,229
Dic₆⋊₄F₅ = D₆₀⋊₂C₄	φ: F₅/D₅ → C₂ ⊆ Out Dic₆	120	8+	Dic6:4F5	480,233
Dic₆⋊₅F₅ = Dic₆⋊₅F₅	φ: F₅/D₅ → C₂ ⊆ Out Dic₆	120	8-	Dic6:5F5	480,984

Non-split extensions G=N.Q with N=Dic₆ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.F₅ = Dic₆.F₅	φ: F₅/D₅ → C₂ ⊆ Out Dic₆	240	8+	Dic6.F5	480,992
Dic₆.₂F₅ = D₆₀.C₄	φ: trivial image	240	8+	Dic6.2F5	480,990

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