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

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

		d	ρ	Label	ID
C₂xDic₃.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 = S₃xD₄:₂D₅	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 = D₅xC₄oD₁₂	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

׿

x

:

Z

F

o

wr

Q

<