Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₂₀

Direct product G=N×Q with N=Dic₆ and Q=C₂₀

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

Semidirect products G=N:Q with N=Dic₆ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₂₀ = C₅×C₄²⋊₄S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₆	120	2	Dic6:1C20	480,124
Dic₆⋊₂C₂₀ = C₅×C₂.Dic₁₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6:2C20	480,135
Dic₆⋊₃C₂₀ = C₅×C₆.SD₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6:3C20	480,129
Dic₆⋊₄C₂₀ = C₅×D₁₂⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:4C20	480,144
Dic₆⋊₅C₂₀ = C₅×Dic₆⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6:5C20	480,766

Non-split extensions G=N.Q with N=Dic₆ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.C₂₀ = C₅×D₁₂.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.C20	480,786
Dic₆.₂C₂₀ = C₅×C₈○D₁₂	φ: trivial image	240	2	Dic6.2C20	480,780

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