Extensions 1→N→G→Q→1 with N=C₂₀:₇D₄ and Q=C₂

Direct product G=NxQ with N=C₂₀:₇D₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₂₀:₇D₄		160		C2xC20:7D4	320,1462

Semidirect products G=N:Q with N=C₂₀:₇D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₀:₇D₄:₁C₂ = D₂₀:₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:1C2	320,359
C₂₀:₇D₄:₂C₂ = C₄₀:₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:2C2	320,742
C₂₀:₇D₄:₃C₂ = C₂³:₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:3C2	320,1165
C₂₀:₇D₄:₄C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:4C2	320,1166
C₂₀:₇D₄:₅C₂ = C₁₀.2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:5C2	320,1182
C₂₀:₇D₄:₆C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:6C2	320,1212
C₂₀:₇D₄:₇C₂ = D₄xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:7C2	320,1221
C₂₀:₇D₄:₈C₂ = Dic₁₀:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:8C2	320,1224
C₂₀:₇D₄:₉C₂ = D₄:₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:9C2	320,1226
C₂₀:₇D₄:₁₀C₂ = D₄:₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:10C2	320,1227
C₂₀:₇D₄:₁₁C₂ = C₄²:₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:11C2	320,1232
C₂₀:₇D₄:₁₂C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:12C2	320,1234
C₂₀:₇D₄:₁₃C₂ = C₄².₁₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:13C2	320,1237
C₂₀:₇D₄:₁₄C₂ = C₁₀.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:14C2	320,1338
C₂₀:₇D₄:₁₅C₂ = C₁₀.₆₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:15C2	320,1339
C₂₀:₇D₄:₁₆C₂ = D₂₀:₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:16C2	320,361
C₂₀:₇D₄:₁₇C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:17C2	320,1162
C₂₀:₇D₄:₁₈C₂ = D₂₀:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:18C2	320,1222
C₂₀:₇D₄:₁₉C₂ = Dic₁₀:₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:19C2	320,1225
C₂₀:₇D₄:₂₀C₂ = C₄².₁₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:20C2	320,1235
C₂₀:₇D₄:₂₁C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:21C2	320,1329
C₂₀:₇D₄:₂₂C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:22C2	320,1335
C₂₀:₇D₄:₂₃C₂ = (C₂xC₁₀):D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:23C2	320,665
C₂₀:₇D₄:₂₄C₂ = C₄:D₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:24C2	320,666
C₂₀:₇D₄:₂₅C₂ = (C₂xC₁₀):₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:25C2	320,844
C₂₀:₇D₄:₂₆C₂ = (C₅xD₄):₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:26C2	320,865
C₂₀:₇D₄:₂₇C₂ = C₁₀.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:27C2	320,1179
C₂₀:₇D₄:₂₈C₂ = C₁₀.₁₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:28C2	320,1186
C₂₀:₇D₄:₂₉C₂ = C₄².₉₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:29C2	320,1202
C₂₀:₇D₄:₃₀C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:30C2	320,1204
C₂₀:₇D₄:₃₁C₂ = C₂₀:(C₄oD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:31C2	320,1268
C₂₀:₇D₄:₃₂C₂ = D₅xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:32C2	320,1276
C₂₀:₇D₄:₃₃C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:33C2	320,1279
C₂₀:₇D₄:₃₄C₂ = C₁₀.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:34C2	320,1291
C₂₀:₇D₄:₃₅C₂ = C₄:C₄:₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:35C2	320,1299
C₂₀:₇D₄:₃₆C₂ = C₁₀.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:36C2	320,1301
C₂₀:₇D₄:₃₇C₂ = D₄xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:37C2	320,1473
C₂₀:₇D₄:₃₈C₂ = C₁₀.₄₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:38C2	320,1489
C₂₀:₇D₄:₃₉C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:39C2	320,1501
C₂₀:₇D₄:₄₀C₂ = C₁₀.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:40C2	320,1506
C₂₀:₇D₄:₄₁C₂ = C₄₀:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:41C2	320,762
C₂₀:₇D₄:₄₂C₂ = C₄².₁₀₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:42C2	320,1207
C₂₀:₇D₄:₄₃C₂ = C₁₀.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:43C2	320,1269
C₂₀:₇D₄:₄₄C₂ = C₁₀.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:44C2	320,1277
C₂₀:₇D₄:₄₅C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:45C2	320,1292
C₂₀:₇D₄:₄₆C₂ = C₁₀.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:46C2	320,1316
C₂₀:₇D₄:₄₇C₂ = C₁₀.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:47C2	320,1319
C₂₀:₇D₄:₄₈C₂ = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4:48C2	320,1502
C₂₀:₇D₄:₄₉C₂ = C₁₀.₁₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4:49C2	320,1505
C₂₀:₇D₄:₅₀C₂ = C₄².₂₇₆D₁₀	φ: trivial image	160	C20:7D4:50C2	320,1149
C₂₀:₇D₄:₅₁C₂ = C₂⁴.₇₂D₁₀	φ: trivial image	80	C20:7D4:51C2	320,1463

Non-split extensions G=N.Q with N=C₂₀:₇D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₀:₇D₄.₁C₂ = C₂².₂D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4.1C2	320,28
C₂₀:₇D₄.₂C₂ = C₂³.₃₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.2C2	320,362
C₂₀:₇D₄.₃C₂ = C₂².D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.3C2	320,363
C₂₀:₇D₄.₄C₂ = Dic₁₀:₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.4C2	320,365
C₂₀:₇D₄.₅C₂ = C₄₀:₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.5C2	320,741
C₂₀:₇D₄.₆C₂ = C₁₀.₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.6C2	320,1187
C₂₀:₇D₄.₇C₂ = (C₂xD₂₀):C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	80	C20:7D4.7C2	320,9
C₂₀:₇D₄.₈C₂ = C₂³.₁₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.8C2	320,364
C₂₀:₇D₄.₉C₂ = (C₂xC₁₀).₄₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.9C2	320,594
C₂₀:₇D₄.₁₀C₂ = C₄:C₄.₂₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.10C2	320,595
C₂₀:₇D₄.₁₁C₂ = C₄:C₄.₂₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.11C2	320,630
C₂₀:₇D₄.₁₂C₂ = C₅:₂C₈:₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.12C2	320,675
C₂₀:₇D₄.₁₃C₂ = C₂²:Q₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.13C2	320,676
C₂₀:₇D₄.₁₄C₂ = (C₅xQ₈):₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.14C2	320,854
C₂₀:₇D₄.₁₅C₂ = C₂²:Q₈:₂₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.15C2	320,1296
C₂₀:₇D₄.₁₆C₂ = C₁₀.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.16C2	320,1315
C₂₀:₇D₄.₁₇C₂ = C₄₀:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.17C2	320,761
C₂₀:₇D₄.₁₈C₂ = C₄².₉₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.18C2	320,1206
C₂₀:₇D₄.₁₉C₂ = C₁₀.₅₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀:₇D₄	160	C20:7D4.19C2	320,1317
C₂₀:₇D₄.₂₀C₂ = C₄².₂₇₇D₁₀	φ: trivial image	160	C20:7D4.20C2	320,1151

Extensions 1→N→G→Q→1 with N=C20:7D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₀:₇D₄ and Q=C₂