Extensions 1→N→G→Q→1 with N=C₂²xDic₅ and Q=C₂

Direct product G=NxQ with N=C₂²xDic₅ and Q=C₂

		d	ρ	Label	ID
C₂³xDic₅		160		C2^3xDic5	160,226

Semidirect products G=N:Q with N=C₂²xDic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xDic₅):₁C₂ = Dic₅:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):1C2	160,102
(C₂²xDic₅):₂C₂ = C₂².D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):2C2	160,107
(C₂²xDic₅):₃C₂ = C₂xD₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):3C2	160,148
(C₂²xDic₅):₄C₂ = D₄xDic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):4C2	160,155
(C₂²xDic₅):₅C₂ = C₂³.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):5C2	160,156
(C₂²xDic₅):₆C₂ = Dic₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):6C2	160,160
(C₂²xDic₅):₇C₂ = C₂xC₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):7C2	160,173
(C₂²xDic₅):₈C₂ = C₂xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):8C2	160,218
(C₂²xDic₅):₉C₂ = C₂²xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5):9C2	160,227
(C₂²xDic₅):₁₀C₂ = D₅xC₂²xC₄	φ: trivial image	80		(C2^2xDic5):10C2	160,214

Non-split extensions G=N.Q with N=C₂²xDic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xDic₅).₁C₂ = C₁₀.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	160		(C2^2xDic5).1C2	160,38
(C₂²xDic₅).₂C₂ = C₂³.₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5).2C2	160,98
(C₂²xDic₅).₃C₂ = Dic₅.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5).3C2	160,99
(C₂²xDic₅).₄C₂ = C₂xC₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	160		(C2^2xDic5).4C2	160,144
(C₂²xDic₅).₅C₂ = C₂xC₄:Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	160		(C2^2xDic5).5C2	160,146
(C₂²xDic₅).₆C₂ = C₂²xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	160		(C2^2xDic5).6C2	160,213
(C₂²xDic₅).₇C₂ = C₂³.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5).7C2	160,87
(C₂²xDic₅).₈C₂ = C₂²xC₅:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	160		(C2^2xDic5).8C2	160,210
(C₂²xDic₅).₉C₂ = C₂xC₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xDic₅	80		(C2^2xDic5).9C2	160,211
(C₂²xDic₅).₁₀C₂ = C₂xC₄xDic₅	φ: trivial image	160		(C2^2xDic5).10C2	160,143

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