Extensions 1→N→G→Q→1 with N=Dic₃ and Q=Dic₁₀

Direct product G=N×Q with N=Dic₃ and Q=Dic₁₀

		d	ρ	Label	ID
Dic₃×Dic₁₀		480		Dic3xDic10	480,406

Semidirect products G=N:Q with N=Dic₃ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁Dic₁₀ = Dic₁₅⋊₁Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3:1Dic10	480,403
Dic₃⋊₂Dic₁₀ = Dic₃⋊Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3:2Dic10	480,404
Dic₃⋊₃Dic₁₀ = C₆₀.₄₈D₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3:3Dic10	480,465
Dic₃⋊₄Dic₁₀ = C₂₀⋊₄Dic₆	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3:4Dic10	480,545
Dic₃⋊₅Dic₁₀ = Dic₃⋊₅Dic₁₀	φ: trivial image	480		Dic3:5Dic10	480,400
Dic₃⋊₆Dic₁₀ = Dic₃₀⋊₁₄C₄	φ: trivial image	480		Dic3:6Dic10	480,416

Non-split extensions G=N.Q with N=Dic₃ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁Dic₁₀ = Dic₃.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.1Dic10	480,419
Dic₃.₂Dic₁₀ = Dic₃.₂Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.2Dic10	480,422
Dic₃.₃Dic₁₀ = Dic₃.₃Dic₁₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.3Dic10	480,455

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