Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₁₀

Direct product G=N×Q with N=Dic₆ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×Dic₆		240		C10xDic6	240,165

Semidirect products G=N:Q with N=Dic₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₁₀ = C₅×C₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₆	120	2	Dic6:1C10	240,51
Dic₆⋊₂C₁₀ = C₅×D₄.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₆	120	4	Dic6:2C10	240,61
Dic₆⋊₃C₁₀ = C₅×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₆	120	4	Dic6:3C10	240,170
Dic₆⋊₄C₁₀ = C₅×S₃×Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₆	120	4	Dic6:4C10	240,171
Dic₆⋊₅C₁₀ = C₅×C₄○D₁₂	φ: trivial image	120	2	Dic6:5C10	240,168

Non-split extensions G=N.Q with N=Dic₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₁₀ = C₅×Dic₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₆	240	2	Dic6.1C10	240,53
Dic₆.₂C₁₀ = C₅×C₃⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₆	240	4	Dic6.2C10	240,63

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