Extensions 1→N→G→Q→1 with N=C₂³xDic₅ and Q=C₂

Direct product G=NxQ with N=C₂³xDic₅ and Q=C₂

		d	ρ	Label	ID
C₂⁴xDic₅		320		C2^4xDic5	320,1626

Semidirect products G=N:Q with N=C₂³xDic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xDic₅):₁C₂ = C₂³.₄₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):1C2	320,585
(C₂³xDic₅):₂C₂ = C₂⁴.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):2C2	320,847
(C₂³xDic₅):₃C₂ = C₂xDic₅:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):3C2	320,1157
(C₂³xDic₅):₄C₂ = C₂xC₂².D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):4C2	320,1164
(C₂³xDic₅):₅C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	80		(C2^3xDic5):5C2	320,1258
(C₂³xDic₅):₆C₂ = C₂²xD₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):6C2	320,1459
(C₂³xDic₅):₇C₂ = C₂xD₄xDic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):7C2	320,1467
(C₂³xDic₅):₈C₂ = C₂xC₂³.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):8C2	320,1468
(C₂³xDic₅):₉C₂ = C₂xDic₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):9C2	320,1474
(C₂³xDic₅):₁₀C₂ = C₂²xC₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):10C2	320,1511
(C₂³xDic₅):₁₁C₂ = C₂²xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):11C2	320,1613
(C₂³xDic₅):₁₂C₂ = C₂³xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5):12C2	320,1627
(C₂³xDic₅):₁₃C₂ = D₅xC₂³xC₄	φ: trivial image	160		(C2^3xDic5):13C2	320,1609

Non-split extensions G=N.Q with N=C₂³xDic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xDic₅).₁C₂ = C₂²:C₄xDic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).1C2	320,568
(C₂³xDic₅).₂C₂ = C₂⁴.₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).2C2	320,569
(C₂³xDic₅).₃C₂ = C₂³.₄₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).3C2	320,570
(C₂³xDic₅).₄C₂ = C₂⁴.₄₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).4C2	320,573
(C₂³xDic₅).₅C₂ = C₂⁴.₄₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).5C2	320,577
(C₂³xDic₅).₆C₂ = C₂xC₁₀.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	320		(C2^3xDic5).6C2	320,835
(C₂³xDic₅).₇C₂ = C₂xC₂³.₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).7C2	320,1152
(C₂³xDic₅).₈C₂ = C₂xDic₅.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).8C2	320,1153
(C₂³xDic₅).₉C₂ = C₂²xC₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	320		(C2^3xDic5).9C2	320,1455
(C₂³xDic₅).₁₀C₂ = C₂²xC₄:Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	320		(C2^3xDic5).10C2	320,1457
(C₂³xDic₅).₁₁C₂ = C₂³xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	320		(C2^3xDic5).11C2	320,1608
(C₂³xDic₅).₁₂C₂ = C₂xC₂³.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).12C2	320,1135
(C₂³xDic₅).₁₃C₂ = C₂⁴.₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	80		(C2^3xDic5).13C2	320,1136
(C₂³xDic₅).₁₄C₂ = C₂³xC₅:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	320		(C2^3xDic5).14C2	320,1605
(C₂³xDic₅).₁₅C₂ = C₂²xC₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₅	160		(C2^3xDic5).15C2	320,1606
(C₂³xDic₅).₁₆C₂ = C₂²xC₄xDic₅	φ: trivial image	320		(C2^3xDic5).16C2	320,1454

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