Extensions 1→N→G→Q→1 with N=C₂xD₄xD₅ and Q=C₂

Direct product G=NxQ with N=C₂xD₄xD₅ and Q=C₂

		d	ρ	Label	ID
C₂²xD₄xD₅		80		C2^2xD4xD5	320,1612

Semidirect products G=N:Q with N=C₂xD₄xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄xD₅):₁C₂ = D₄:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):1C2	320,400
(C₂xD₄xD₅):₂C₂ = D₂₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):2C2	320,783
(C₂xD₄xD₅):₃C₂ = D₄xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):3C2	320,1221
(C₂xD₄xD₅):₄C₂ = D₄:₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):4C2	320,1226
(C₂xD₄xD₅):₅C₂ = D₅xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40		(C2xD4xD5):5C2	320,1260
(C₂xD₄xD₅):₆C₂ = C₂⁴:₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):6C2	320,1261
(C₂xD₄xD₅):₇C₂ = C₂⁴:₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):7C2	320,1262
(C₂xD₄xD₅):₈C₂ = D₅xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):8C2	320,1276
(C₂xD₄xD₅):₉C₂ = C₁₀.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):9C2	320,1277
(C₂xD₄xD₅):₁₀C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):10C2	320,1279
(C₂xD₄xD₅):₁₁C₂ = D₂₀:₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):11C2	320,1281
(C₂xD₄xD₅):₁₂C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):12C2	320,1282
(C₂xD₄xD₅):₁₃C₂ = D₂₀:₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):13C2	320,1284
(C₂xD₄xD₅):₁₄C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):14C2	320,1325
(C₂xD₄xD₅):₁₅C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):15C2	320,1326
(C₂xD₄xD₅):₁₆C₂ = C₄²:₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):16C2	320,1346
(C₂xD₄xD₅):₁₇C₂ = D₂₀:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):17C2	320,1348
(C₂xD₄xD₅):₁₈C₂ = D₅xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):18C2	320,1386
(C₂xD₄xD₅):₁₉C₂ = C₄²:₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):19C2	320,1387
(C₂xD₄xD₅):₂₀C₂ = D₂₀:₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):20C2	320,1389
(C₂xD₄xD₅):₂₁C₂ = C₂xD₅xD₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):21C2	320,1426
(C₂xD₄xD₅):₂₂C₂ = C₂xD₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):22C2	320,1427
(C₂xD₄xD₅):₂₃C₂ = C₂xD₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):23C2	320,1431
(C₂xD₄xD₅):₂₄C₂ = D₅xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5):24C2	320,1444
(C₂xD₄xD₅):₂₅C₂ = D₄xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):25C2	320,1473
(C₂xD₄xD₅):₂₆C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):26C2	320,1501
(C₂xD₄xD₅):₂₇C₂ = C₂xD₄:₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):27C2	320,1614
(C₂xD₄xD₅):₂₈C₂ = C₂xD₄:₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5):28C2	320,1619
(C₂xD₄xD₅):₂₉C₂ = D₅x2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5):29C2	320,1622
(C₂xD₄xD₅):₃₀C₂ = C₂xD₅xC₄oD₄	φ: trivial image	80		(C2xD4xD5):30C2	320,1618

Non-split extensions G=N.Q with N=C₂xD₄xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄xD₅).₁C₂ = D₅xC₂³:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5).1C2	320,370
(C₂xD₄xD₅).₂C₂ = D₅xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5).2C2	320,371
(C₂xD₄xD₅).₃C₂ = D₅xD₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).3C2	320,396
(C₂xD₄xD₅).₄C₂ = (D₄xD₅):C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).4C2	320,397
(C₂xD₄xD₅).₅C₂ = D₂₀.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).5C2	320,403
(C₂xD₄xD₅).₆C₂ = D₁₀:₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).6C2	320,796
(C₂xD₄xD₅).₇C₂ = (C₂xD₄):₇F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5).7C2	320,1108
(C₂xD₄xD₅).₈C₂ = (C₂xF₅):D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40		(C2xD4xD5).8C2	320,1117
(C₂xD₄xD₅).₉C₂ = C₄²:₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).9C2	320,1217
(C₂xD₄xD₅).₁₀C₂ = D₅xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).10C2	320,1324
(C₂xD₄xD₅).₁₁C₂ = D₅xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).11C2	320,1345
(C₂xD₄xD₅).₁₂C₂ = C₂xD₅xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).12C2	320,1430
(C₂xD₄xD₅).₁₃C₂ = C₂xD₂₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).13C2	320,1104
(C₂xD₄xD₅).₁₄C₂ = (D₄xC₁₀):C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5).14C2	320,1105
(C₂xD₄xD₅).₁₅C₂ = D₅:(C₄.D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5).15C2	320,1116
(C₂xD₄xD₅).₁₆C₂ = C₂.(D₄xF₅)	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	80		(C2xD4xD5).16C2	320,1118
(C₂xD₄xD₅).₁₇C₂ = C₂xD₄xF₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40		(C2xD4xD5).17C2	320,1595
(C₂xD₄xD₅).₁₈C₂ = D₁₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄xD₅	40	8+	(C2xD4xD5).18C2	320,1596
(C₂xD₄xD₅).₁₉C₂ = C₄xD₄xD₅	φ: trivial image	80		(C2xD4xD5).19C2	320,1216

Extensions 1→N→G→Q→1 with N=C2xD4xD5 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂xD₄xD₅ and Q=C₂