Extensions 1→N→G→Q→1 with N=C₄xC₅:D₄ and Q=C₂

Direct product G=NxQ with N=C₄xC₅:D₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xC₅:D₄		160		C2xC4xC5:D4	320,1460

Semidirect products G=N:Q with N=C₄xC₅:D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄xC₅:D₄):₁C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):1C2	320,1162
(C₄xC₅:D₄):₂C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):2C2	320,1167
(C₄xC₅:D₄):₃C₂ = C₄².₁₀₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):3C2	320,1210
(C₄xC₅:D₄):₄C₂ = C₄².₂₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):4C2	320,1220
(C₄xC₅:D₄):₅C₂ = C₄².₂₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):5C2	320,1229
(C₄xC₅:D₄):₆C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):6C2	320,1329
(C₄xC₅:D₄):₇C₂ = C₁₀.₆₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):7C2	320,1332
(C₄xC₅:D₄):₈C₂ = C₁₀.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):8C2	320,1334
(C₄xC₅:D₄):₉C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):9C2	320,1335
(C₄xC₅:D₄):₁₀C₂ = C₁₀.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):10C2	320,1179
(C₄xC₅:D₄):₁₁C₂ = C₁₀.₁₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):11C2	320,1186
(C₄xC₅:D₄):₁₂C₂ = C₄².₉₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):12C2	320,1202
(C₄xC₅:D₄):₁₃C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):13C2	320,1204
(C₄xC₅:D₄):₁₄C₂ = Dic₁₀:₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):14C2	320,1270
(C₄xC₅:D₄):₁₅C₂ = Dic₁₀:₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):15C2	320,1271
(C₄xC₅:D₄):₁₆C₂ = D₂₀:₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):16C2	320,1281
(C₄xC₅:D₄):₁₇C₂ = C₁₀.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):17C2	320,1283
(C₄xC₅:D₄):₁₈C₂ = D₂₀:₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):18C2	320,1284
(C₄xC₅:D₄):₁₉C₂ = C₁₀.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):19C2	320,1286
(C₄xC₅:D₄):₂₀C₂ = C₁₀.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):20C2	320,1288
(C₄xC₅:D₄):₂₁C₂ = C₁₀.₁₁₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):21C2	320,1290
(C₄xC₅:D₄):₂₂C₂ = D₂₀:₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):22C2	320,1302
(C₄xC₅:D₄):₂₃C₂ = D₂₀:₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):23C2	320,1303
(C₄xC₅:D₄):₂₄C₂ = Dic₁₀:₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):24C2	320,1305
(C₄xC₅:D₄):₂₅C₂ = D₄xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):25C2	320,1473
(C₄xC₅:D₄):₂₆C₂ = C₂⁴.₄₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):26C2	320,1478
(C₄xC₅:D₄):₂₇C₂ = C₁₀.₄₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):27C2	320,1489
(C₄xC₅:D₄):₂₈C₂ = C₁₀.₁₀₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):28C2	320,1496
(C₄xC₅:D₄):₂₉C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):29C2	320,1501
(C₄xC₅:D₄):₃₀C₂ = C₁₀.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):30C2	320,1503
(C₄xC₅:D₄):₃₁C₂ = C₁₀.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):31C2	320,1506
(C₄xC₅:D₄):₃₂C₂ = C₄².₂₇₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):32C2	320,1151
(C₄xC₅:D₄):₃₃C₂ = C₂⁴.₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):33C2	320,1158
(C₄xC₅:D₄):₃₄C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):34C2	320,1166
(C₄xC₅:D₄):₃₅C₂ = C₁₀.₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):35C2	320,1176
(C₄xC₅:D₄):₃₆C₂ = C₁₀.₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):36C2	320,1187
(C₄xC₅:D₄):₃₇C₂ = C₄xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):37C2	320,1208
(C₄xC₅:D₄):₃₈C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):38C2	320,1212
(C₄xC₅:D₄):₃₉C₂ = C₄xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):39C2	320,1216
(C₄xC₅:D₄):₄₀C₂ = C₄²:₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):40C2	320,1217
(C₄xC₅:D₄):₄₁C₂ = C₄².₁₀₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):41C2	320,1218
(C₄xC₅:D₄):₄₂C₂ = C₄²:₁₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):42C2	320,1219
(C₄xC₅:D₄):₄₃C₂ = C₄²:₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):43C2	320,1228
(C₄xC₅:D₄):₄₄C₂ = C₄².₁₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):44C2	320,1230
(C₄xC₅:D₄):₄₅C₂ = C₄².₁₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):45C2	320,1231
(C₄xC₅:D₄):₄₆C₂ = C₄²:₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):46C2	320,1232
(C₄xC₅:D₄):₄₇C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):47C2	320,1236
(C₄xC₅:D₄):₄₈C₂ = C₁₀.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):48C2	320,1331
(C₄xC₅:D₄):₄₉C₂ = C₁₀.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):49C2	320,1333
(C₄xC₅:D₄):₅₀C₂ = C₁₀.₆₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):50C2	320,1336
(C₄xC₅:D₄):₅₁C₂ = C₂⁴.₇₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):51C2	320,1463
(C₄xC₅:D₄):₅₂C₂ = C₄².₉₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):52C2	320,1200
(C₄xC₅:D₄):₅₃C₂ = C₁₀.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):53C2	320,1273
(C₄xC₅:D₄):₅₄C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):54C2	320,1282
(C₄xC₅:D₄):₅₅C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):55C2	320,1285
(C₄xC₅:D₄):₅₆C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):56C2	320,1287
(C₄xC₅:D₄):₅₇C₂ = C₁₀.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):57C2	320,1309
(C₄xC₅:D₄):₅₈C₂ = C₁₀.₂₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):58C2	320,1310
(C₄xC₅:D₄):₅₉C₂ = C₁₀.₂₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):59C2	320,1312
(C₄xC₅:D₄):₆₀C₂ = (C₂xC₂₀):₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	80	(C4xC5:D4):60C2	320,1500
(C₄xC₅:D₄):₆₁C₂ = (C₂xC₂₀):₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4):61C2	320,1504
(C₄xC₅:D₄):₆₂C₂ = C₄xC₄oD₂₀	φ: trivial image	160	(C4xC5:D4):62C2	320,1146

Non-split extensions G=N.Q with N=C₄xC₅:D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄xC₅:D₄).₁C₂ = D₁₀:₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).1C2	320,355
(C₄xC₅:D₄).₂C₂ = Dic₅:₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).2C2	320,356
(C₄xC₅:D₄).₃C₂ = C₁₀.₁₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).3C2	320,1183
(C₄xC₅:D₄).₄C₂ = C₁₀.₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).4C2	320,1185
(C₄xC₅:D₄).₅C₂ = C₄².₉₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).5C2	320,1201
(C₄xC₅:D₄).₆C₂ = C₄².₉₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).6C2	320,1205
(C₄xC₅:D₄).₇C₂ = Dic₁₀:₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).7C2	320,1304
(C₄xC₅:D₄).₈C₂ = C₁₀.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).8C2	320,1307
(C₄xC₅:D₄).₉C₂ = C₁₀.₂₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).9C2	320,1311
(C₄xC₅:D₄).₁₀C₂ = C₁₀.₂₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).10C2	320,1313
(C₄xC₅:D₄).₁₁C₂ = C₁₀.₇₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).11C2	320,1314
(C₄xC₅:D₄).₁₂C₂ = Q₈xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).12C2	320,1487
(C₄xC₅:D₄).₁₃C₂ = C₅:₅(C₈xD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).13C2	320,352
(C₄xC₅:D₄).₁₄C₂ = C₅:₂C₈:₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).14C2	320,357
(C₄xC₅:D₄).₁₅C₂ = C₄₀:₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).15C2	320,738
(C₄xC₅:D₄).₁₆C₂ = C₄₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).16C2	320,754
(C₄xC₅:D₄).₁₇C₂ = C₄₀:₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).17C2	320,755
(C₄xC₅:D₄).₁₈C₂ = C₁₀.₅₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₅:D₄	160	(C4xC5:D4).18C2	320,1308
(C₄xC₅:D₄).₁₉C₂ = C₈xC₅:D₄	φ: trivial image	160	(C4xC5:D4).19C2	320,736

Extensions 1→N→G→Q→1 with N=C4xC5:D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄xC₅:D₄ and Q=C₂