Extensions 1→N→G→Q→1 with N=Dic₆ and Q=Dic₅

Direct product G=N×Q with N=Dic₆ and Q=Dic₅

		d	ρ	Label	ID
Dic₅×Dic₆		480		Dic5xDic6	480,408

Semidirect products G=N:Q with N=Dic₆ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁Dic₅ = C₁₀.Dic₁₂	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6:1Dic5	480,49
Dic₆⋊₂Dic₅ = C₆₀.₉₉D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:2Dic5	480,55
Dic₆⋊₃Dic₅ = Dic₆⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6:3Dic5	480,48
Dic₆⋊₄Dic₅ = C₆₀.₉₈D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:4Dic5	480,54
Dic₆⋊₅Dic₅ = Dic₁₅⋊₇Q₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6:5Dic5	480,420

Non-split extensions G=N.Q with N=Dic₆ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.Dic₅ = D₁₂.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.Dic5	480,364
Dic₆.₂Dic₅ = D₁₂.₂Dic₅	φ: trivial image	240	4	Dic6.2Dic5	480,362

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