Extensions 1→N→G→Q→1 with N=C₅xC₄:D₄ and Q=C₂

Direct product G=NxQ with N=C₅xC₄:D₄ and Q=C₂

		d	ρ	Label	ID
C₁₀xC₄:D₄		160		C10xC4:D4	320,1524

Semidirect products G=N:Q with N=C₅xC₄:D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₅xC₄:D₄):₁C₂ = D₂₀:₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):1C2	320,663
(C₅xC₄:D₄):₂C₂ = D₂₀:₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):2C2	320,664
(C₅xC₄:D₄):₃C₂ = (C₂xC₁₀):D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):3C2	320,665
(C₅xC₄:D₄):₄C₂ = C₄:D₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):4C2	320,666
(C₅xC₄:D₄):₅C₂ = C₂₀:(C₄oD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):5C2	320,1268
(C₅xC₄:D₄):₆C₂ = C₁₀.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):6C2	320,1269
(C₅xC₄:D₄):₇C₂ = Dic₁₀:₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):7C2	320,1270
(C₅xC₄:D₄):₈C₂ = Dic₁₀:₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):8C2	320,1271
(C₅xC₄:D₄):₉C₂ = C₁₀.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):9C2	320,1273
(C₅xC₄:D₄):₁₀C₂ = D₅xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):10C2	320,1276
(C₅xC₄:D₄):₁₁C₂ = C₁₀.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):11C2	320,1277
(C₅xC₄:D₄):₁₂C₂ = C₄:C₄:₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):12C2	320,1278
(C₅xC₄:D₄):₁₃C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):13C2	320,1279
(C₅xC₄:D₄):₁₄C₂ = C₁₀.₃₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):14C2	320,1280
(C₅xC₄:D₄):₁₅C₂ = D₂₀:₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):15C2	320,1281
(C₅xC₄:D₄):₁₆C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):16C2	320,1282
(C₅xC₄:D₄):₁₇C₂ = C₁₀.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):17C2	320,1283
(C₅xC₄:D₄):₁₈C₂ = D₂₀:₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):18C2	320,1284
(C₅xC₄:D₄):₁₉C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):19C2	320,1285
(C₅xC₄:D₄):₂₀C₂ = C₁₀.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):20C2	320,1286
(C₅xC₄:D₄):₂₁C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):21C2	320,1287
(C₅xC₄:D₄):₂₂C₂ = C₁₀.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):22C2	320,1288
(C₅xC₄:D₄):₂₃C₂ = C₁₀.₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):23C2	320,1289
(C₅xC₄:D₄):₂₄C₂ = C₁₀.₁₁₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):24C2	320,1290
(C₅xC₄:D₄):₂₅C₂ = C₁₀.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):25C2	320,1291
(C₅xC₄:D₄):₂₆C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):26C2	320,1292
(C₅xC₄:D₄):₂₇C₂ = C₁₀.₇₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):27C2	320,1293
(C₅xC₄:D₄):₂₈C₂ = C₅xC₂²:D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):28C2	320,948
(C₅xC₄:D₄):₂₉C₂ = C₅xD₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):29C2	320,950
(C₅xC₄:D₄):₃₀C₂ = C₅xC₈:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):30C2	320,967
(C₅xC₄:D₄):₃₁C₂ = C₅xC₈:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):31C2	320,970
(C₅xC₄:D₄):₃₂C₂ = C₅xC₂³:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):32C2	320,1536
(C₅xC₄:D₄):₃₃C₂ = C₅xC₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):33C2	320,1537
(C₅xC₄:D₄):₃₄C₂ = C₅xC₂².₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):34C2	320,1539
(C₅xC₄:D₄):₃₅C₂ = C₅xC₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):35C2	320,1540
(C₅xC₄:D₄):₃₆C₂ = C₅xC₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):36C2	320,1542
(C₅xC₄:D₄):₃₇C₂ = C₅xD₄²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):37C2	320,1547
(C₅xC₄:D₄):₃₈C₂ = C₅xD₄:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):38C2	320,1548
(C₅xC₄:D₄):₃₉C₂ = C₅xD₄:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):39C2	320,1549
(C₅xC₄:D₄):₄₀C₂ = C₅xQ₈:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):40C2	320,1550
(C₅xC₄:D₄):₄₁C₂ = C₅xQ₈:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):41C2	320,1552
(C₅xC₄:D₄):₄₂C₂ = C₅xC₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):42C2	320,1555
(C₅xC₄:D₄):₄₃C₂ = C₅xC₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):43C2	320,1557
(C₅xC₄:D₄):₄₄C₂ = C₅xC₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4):44C2	320,1562
(C₅xC₄:D₄):₄₅C₂ = C₅xC₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4):45C2	320,1564
(C₅xC₄:D₄):₄₆C₂ = C₅xC₂².₁₉C₂⁴	φ: trivial image	80	(C5xC4:D4):46C2	320,1527
(C₅xC₄:D₄):₄₇C₂ = C₅xC₂².₂₆C₂⁴	φ: trivial image	160	(C5xC4:D4):47C2	320,1534

Non-split extensions G=N.Q with N=C₅xC₄:D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₅xC₄:D₄).₁C₂ = (C₂xC₁₀).D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).1C2	320,660
(C₅xC₄:D₄).₂C₂ = C₄:D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).2C2	320,661
(C₅xC₄:D₄).₃C₂ = (C₂xD₄).D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).3C2	320,662
(C₅xC₄:D₄).₄C₂ = Dic₁₀:₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).4C2	320,667
(C₅xC₄:D₄).₅C₂ = C₅:₂C₈:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).5C2	320,668
(C₅xC₄:D₄).₆C₂ = C₄.(D₄xD₅)	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).6C2	320,669
(C₅xC₄:D₄).₇C₂ = C₄:C₄.₁₇₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).7C2	320,1272
(C₅xC₄:D₄).₈C₂ = C₁₀.₃₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).8C2	320,1274
(C₅xC₄:D₄).₉C₂ = C₁₀.₃₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).9C2	320,1275
(C₅xC₄:D₄).₁₀C₂ = C₄:C₄:Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4).10C2	320,95
(C₅xC₄:D₄).₁₁C₂ = C₅xC₂².SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	80	(C5xC4:D4).11C2	320,132
(C₅xC₄:D₄).₁₂C₂ = C₅xQ₈:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).12C2	320,949
(C₅xC₄:D₄).₁₃C₂ = C₅xC₈:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).13C2	320,966
(C₅xC₄:D₄).₁₄C₂ = C₅xC₈:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).14C2	320,969
(C₅xC₄:D₄).₁₅C₂ = C₅xC₂².D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).15C2	320,981
(C₅xC₄:D₄).₁₆C₂ = C₅xC₂³.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).16C2	320,982
(C₅xC₄:D₄).₁₇C₂ = C₅xC₂³.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).17C2	320,983
(C₅xC₄:D₄).₁₈C₂ = C₅xC₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).18C2	320,1541
(C₅xC₄:D₄).₁₉C₂ = C₅xC₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄:D₄	160	(C5xC4:D4).19C2	320,1544
(C₅xC₄:D₄).₂₀C₂ = C₅xC₂³.₃₆C₂³	φ: trivial image	160	(C5xC4:D4).20C2	320,1531

Extensions 1→N→G→Q→1 with N=C5xC4:D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₅xC₄:D₄ and Q=C₂