Extensions 1→N→G→Q→1 with N=C₂xD₅xDic₃ and Q=C₂

Direct product G=NxQ with N=C₂xD₅xDic₃ and Q=C₂

		d	ρ	Label	ID
C₂²xD₅xDic₃		240		C2^2xD5xDic3	480,1112

Semidirect products G=N:Q with N=C₂xD₅xDic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₅xDic₃):₁C₂ = Dic₃:₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):1C2	480,471
(C₂xD₅xDic₃):₂C₂ = Dic₁₅:₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):2C2	480,472
(C₂xD₅xDic₃):₃C₂ = (C₆xD₅).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):3C2	480,483
(C₂xD₅xDic₃):₄C₂ = Dic₁₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):4C2	480,484
(C₂xD₅xDic₃):₅C₂ = Dic₃:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):5C2	480,485
(C₂xD₅xDic₃):₆C₂ = D₁₀.₁₆D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):6C2	480,489
(C₂xD₅xDic₃):₇C₂ = D₁₀.₁₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):7C2	480,490
(C₂xD₅xDic₃):₈C₂ = Dic₃xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):8C2	480,501
(C₂xD₅xDic₃):₉C₂ = D₂₀:₈Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):9C2	480,510
(C₂xD₅xDic₃):₁₀C₂ = C₁₅:₁₇(C₄xD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):10C2	480,517
(C₂xD₅xDic₃):₁₁C₂ = Dic₁₅:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):11C2	480,518
(C₂xD₅xDic₃):₁₂C₂ = D₅xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120		(C2xD5xDic3):12C2	480,547
(C₂xD₅xDic₃):₁₃C₂ = D₅xC₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120		(C2xD5xDic3):13C2	480,623
(C₂xD₅xDic₃):₁₄C₂ = C₂³.₁₇(S₃xD₅)	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):14C2	480,624
(C₂xD₅xDic₃):₁₅C₂ = (C₆xD₅):D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):15C2	480,625
(C₂xD₅xDic₃):₁₆C₂ = Dic₁₅:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):16C2	480,626
(C₂xD₅xDic₃):₁₇C₂ = Dic₃xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):17C2	480,629
(C₂xD₅xDic₃):₁₈C₂ = Dic₁₅:₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):18C2	480,635
(C₂xD₅xDic₃):₁₉C₂ = C₂xD₂₀:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):19C2	480,1074
(C₂xD₅xDic₃):₂₀C₂ = C₂xD₂₀:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):20C2	480,1075
(C₂xD₅xDic₃):₂₁C₂ = D₅xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120	8-	(C2xD5xDic3):21C2	480,1098
(C₂xD₅xDic₃):₂₂C₂ = C₂xDic₅.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):22C2	480,1113
(C₂xD₅xDic₃):₂₃C₂ = C₂xC₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3):23C2	480,1114
(C₂xD₅xDic₃):₂₄C₂ = C₂xD₅xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120		(C2xD5xDic3):24C2	480,1122
(C₂xD₅xDic₃):₂₅C₂ = S₃xC₂xC₄xD₅	φ: trivial image	120		(C2xD5xDic3):25C2	480,1086

Non-split extensions G=N.Q with N=C₂xD₅xDic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₅xDic₃).₁C₂ = D₅xDic₃:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).1C2	480,468
(C₂xD₅xDic₃).₂C₂ = (D₅xDic₃):C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).2C2	480,469
(C₂xD₅xDic₃).₃C₂ = D₁₀.₁₉(C₄xS₃)	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).3C2	480,470
(C₂xD₅xDic₃).₄C₂ = D₅xC₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).4C2	480,488
(C₂xD₅xDic₃).₅C₂ = D₁₀:₁Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).5C2	480,497
(C₂xD₅xDic₃).₆C₂ = D₁₀:₂Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).6C2	480,498
(C₂xD₅xDic₃).₇C₂ = Dic₁₅.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).7C2	480,506
(C₂xD₅xDic₃).₈C₂ = D₁₀:₄Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).8C2	480,507
(C₂xD₅xDic₃).₉C₂ = C₂xD₅xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	240		(C2xD5xDic3).9C2	480,1073
(C₂xD₅xDic₃).₁₀C₂ = D₁₀.₂₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120		(C2xD5xDic3).10C2	480,243
(C₂xD₅xDic₃).₁₁C₂ = C₂xDic₃xF₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120		(C2xD5xDic3).11C2	480,998
(C₂xD₅xDic₃).₁₂C₂ = C₂²:F₅.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120	8-	(C2xD5xDic3).12C2	480,999
(C₂xD₅xDic₃).₁₃C₂ = C₂xDic₃:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₅xDic₃	120		(C2xD5xDic3).13C2	480,1001
(C₂xD₅xDic₃).₁₄C₂ = C₄xD₅xDic₃	φ: trivial image	240		(C2xD5xDic3).14C2	480,467

Extensions 1→N→G→Q→1 with N=C2xD5xDic3 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂xD₅xDic₃ and Q=C₂