Extensions 1→N→G→Q→1 with N=C₄²:D₅ and Q=C₂

Direct product G=NxQ with N=C₄²:D₅ and Q=C₂

		d	ρ	Label	ID
C₂xC₄²:D₅		160		C2xC4^2:D5	320,1144

Semidirect products G=N:Q with N=C₄²:D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:D₅:₁C₂ = C₄²:₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:1C2	320,1199
C₄²:D₅:₂C₂ = C₄².₉₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:2C2	320,1201
C₄²:D₅:₃C₂ = C₄².₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:3C2	320,1203
C₄²:D₅:₄C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:4C2	320,1204
C₄²:D₅:₅C₂ = C₄².₁₆₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:5C2	320,1374
C₄²:D₅:₆C₂ = C₄²:₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:6C2	320,1377
C₄²:D₅:₇C₂ = C₄².₁₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:7C2	320,1380
C₄²:D₅:₈C₂ = C₄².₁₆₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:8C2	320,1381
C₄²:D₅:₉C₂ = C₄²:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80	4	C4^2:D5:9C2	320,448
C₄²:D₅:₁₀C₂ = C₄².₁₀₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:10C2	320,1210
C₄²:D₅:₁₁C₂ = C₄²:₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:11C2	320,1217
C₄²:D₅:₁₂C₂ = C₄².₁₀₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:12C2	320,1218
C₄²:D₅:₁₃C₂ = C₄²:₁₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:13C2	320,1219
C₄²:D₅:₁₄C₂ = C₄².₁₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:14C2	320,1233
C₄²:D₅:₁₅C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:15C2	320,1234
C₄²:D₅:₁₆C₂ = C₄².₁₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:16C2	320,1246
C₄²:D₅:₁₇C₂ = C₄².₁₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:17C2	320,1252
C₄²:D₅:₁₈C₂ = C₄².₁₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:18C2	320,1254
C₄²:D₅:₁₉C₂ = C₄²:₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:19C2	320,1346
C₄²:D₅:₂₀C₂ = C₄².₁₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:20C2	320,1347
C₄²:D₅:₂₁C₂ = C₄².₁₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:21C2	320,1354
C₄²:D₅:₂₂C₂ = C₄².₁₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:22C2	320,1370
C₄²:D₅:₂₃C₂ = C₄²:₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:23C2	320,1387
C₄²:D₅:₂₄C₂ = C₄².₁₆₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:24C2	320,1391
C₄²:D₅:₂₅C₂ = C₄².₁₇₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:25C2	320,1396
C₄²:D₅:₂₆C₂ = C₄².₁₇₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:26C2	320,1405
C₄²:D₅:₂₇C₂ = C₄².₂₇₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:27C2	320,1151
C₄²:D₅:₂₈C₂ = D₅xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:28C2	320,1192
C₄²:D₅:₂₉C₂ = C₄².₁₈₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:29C2	320,1194
C₄²:D₅:₃₀C₂ = C₄².₉₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:30C2	320,1200
C₄²:D₅:₃₁C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:31C2	320,1212
C₄²:D₅:₃₂C₂ = C₄²:₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:32C2	320,1228
C₄²:D₅:₃₃C₂ = C₄².₁₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:33C2	320,1240
C₄²:D₅:₃₄C₂ = C₄².₁₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:34C2	320,1253
C₄²:D₅:₃₅C₂ = C₄².₁₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:35C2	320,1342
C₄²:D₅:₃₆C₂ = C₄²:₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80		C4^2:D5:36C2	320,1351
C₄²:D₅:₃₇C₂ = C₄².₁₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5:37C2	320,1365
C₄²:D₅:₃₈C₂ = C₄xC₄oD₂₀	φ: trivial image	160		C4^2:D5:38C2	320,1146

Non-split extensions G=N.Q with N=C₄²:D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:D₅.₁C₂ = C₄².₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.1C2	320,466
C₄²:D₅.₂C₂ = C₄².₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.2C2	320,467
C₄²:D₅.₃C₂ = C₄².₁₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.3C2	320,1244
C₄²:D₅.₄C₂ = C₄².₂₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.4C2	320,1250
C₄²:D₅.₅C₂ = C₄².₁₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.5C2	320,1255
C₄²:D₅.₆C₂ = C₄².₁₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.6C2	320,1361
C₄²:D₅.₇C₂ = C₄².₁₅₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.7C2	320,1369
C₄²:D₅.₈C₂ = C₄².₁₇₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.8C2	320,1401
C₄²:D₅.₉C₂ = C₄².₁₇₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.9C2	320,1403
C₄²:D₅.₁₀C₂ = C₄².₂₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.10C2	320,317
C₄²:D₅.₁₁C₂ = D₁₀.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.11C2	320,335
C₄²:D₅.₁₂C₂ = C₄².₁₈₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	160		C4^2:D5.12C2	320,336
C₄²:D₅.₁₃C₂ = C₄²:₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄²:D₅	80	4	C4^2:D5.13C2	320,201
C₄²:D₅.₁₄C₂ = D₁₀.₅C₄²	φ: trivial image	160		C4^2:D5.14C2	320,316

Extensions 1→N→G→Q→1 with N=C42:D5 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²:D₅ and Q=C₂