Extensions 1→N→G→Q→1 with N=Dic₃.D₁₀ and Q=C₂

Direct product G=N×Q with N=Dic₃.D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃.D₁₀		240		C2xDic3.D10	480,1116

Semidirect products G=N:Q with N=Dic₃.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.D₁₀⋊₁C₂ = C₃₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	240	4	Dic3.D10:1C2	480,1080
Dic₃.D₁₀⋊₂C₂ = C₁₅⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	240	8-	Dic3.D10:2C2	480,1096
Dic₃.D₁₀⋊₃C₂ = S₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	120	8-	Dic3.D10:3C2	480,1099
Dic₃.D₁₀⋊₄C₂ = D₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	120	8+	Dic3.D10:4C2	480,1100
Dic₃.D₁₀⋊₅C₂ = D₁₂⋊₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	120	8+	Dic3.D10:5C2	480,1103
Dic₃.D₁₀⋊₆C₂ = C₁₅⋊2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	120	4	Dic3.D10:6C2	480,1125
Dic₃.D₁₀⋊₇C₂ = D₅×C₄○D₁₂	φ: trivial image	120	4	Dic3.D10:7C2	480,1090

Non-split extensions G=N.Q with N=Dic₃.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.D₁₀.₁C₂ = C₅⋊C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	240	8	Dic3.D10.1C2	480,1003
Dic₃.D₁₀.₂C₂ = D₁₅⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.D₁₀	240	8	Dic3.D10.2C2	480,1005

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