Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=D₁₀

Direct product G=N×Q with N=C₂²⋊C₄ and Q=D₁₀

		d	ρ	Label	ID
C₂×D₅×C₂²⋊C₄		80		C2xD5xC2^2:C4	320,1156

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁D₁₀ = C₂³⋊D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	40	8+	C2^2:C4:1D10	320,368
C₂²⋊C₄⋊₂D₁₀ = C₂³.₅D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80	8-	C2^2:C4:2D10	320,369
C₂²⋊C₄⋊₃D₁₀ = C₂⁴⋊₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	40	4	C2^2:C4:3D10	320,659
C₂²⋊C₄⋊₄D₁₀ = C₂²⋊C₄⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80	4	C2^2:C4:4D10	320,680
C₂²⋊C₄⋊₅D₁₀ = C₂⁴⋊₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:5D10	320,1261
C₂²⋊C₄⋊₆D₁₀ = C₂⁴.₃₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:6D10	320,1263
C₂²⋊C₄⋊₇D₁₀ = C₂⁴.₃₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:7D10	320,1264
C₂²⋊C₄⋊₈D₁₀ = C₂⁴⋊₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:8D10	320,1266
C₂²⋊C₄⋊₉D₁₀ = C₁₀.₃₇2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:9D10	320,1277
C₂²⋊C₄⋊₁₀D₁₀ = C₁₀.₃₈2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:10D10	320,1279
C₂²⋊C₄⋊₁₁D₁₀ = D₂₀⋊₁₉D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:11D10	320,1281
C₂²⋊C₄⋊₁₂D₁₀ = C₁₀.₄₆2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:12D10	320,1289
C₂²⋊C₄⋊₁₃D₁₀ = C₁₀.₄₈2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:13D10	320,1292
C₂²⋊C₄⋊₁₄D₁₀ = C₁₀.₁₂₀2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:14D10	320,1325
C₂²⋊C₄⋊₁₅D₁₀ = C₁₀.₁₂₁2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:15D10	320,1326
C₂²⋊C₄⋊₁₆D₁₀ = C₁₀.₆₁2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:16D10	320,1329
C₂²⋊C₄⋊₁₇D₁₀ = C₁₀.₁₂₂2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:17D10	320,1330
C₂²⋊C₄⋊₁₈D₁₀ = C₁₀.₆₂2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:18D10	320,1331
C₂²⋊C₄⋊₁₉D₁₀ = C₁₀.₆₈2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:19D10	320,1338
C₂²⋊C₄⋊₂₀D₁₀ = C₄²⋊₁₈D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:20D10	320,1346
C₂²⋊C₄⋊₂₁D₁₀ = C₄²⋊₂₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4:21D10	320,1355
C₂²⋊C₄⋊₂₂D₁₀ = D₅×C₂³⋊C₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	40	8+	C2^2:C4:22D10	320,370
C₂²⋊C₄⋊₂₃D₁₀ = D₅×C₂²≀C₂	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	40		C2^2:C4:23D10	320,1260
C₂²⋊C₄⋊₂₄D₁₀ = C₂⁴⋊₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:24D10	320,1262
C₂²⋊C₄⋊₂₅D₁₀ = D₅×C₄⋊D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:25D10	320,1276
C₂²⋊C₄⋊₂₆D₁₀ = C₄⋊C₄⋊₂₁D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:26D10	320,1278
C₂²⋊C₄⋊₂₇D₁₀ = C₁₀.₄₀2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:27D10	320,1282
C₂²⋊C₄⋊₂₈D₁₀ = D₂₀⋊₂₀D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:28D10	320,1284
C₂²⋊C₄⋊₂₉D₁₀ = C₁₀.₄₂2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:29D10	320,1285
C₂²⋊C₄⋊₃₀D₁₀ = D₅×C₂².D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:30D10	320,1324
C₂²⋊C₄⋊₃₁D₁₀ = C₄⋊C₄⋊₂₈D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:31D10	320,1328
C₂²⋊C₄⋊₃₂D₁₀ = D₅×C₄.₄D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:32D10	320,1345
C₂²⋊C₄⋊₃₃D₁₀ = D₂₀⋊₁₀D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:33D10	320,1348
C₂²⋊C₄⋊₃₄D₁₀ = C₄²⋊₂₀D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:34D10	320,1350
C₂²⋊C₄⋊₃₅D₁₀ = C₄²⋊₂₁D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:35D10	320,1351
C₂²⋊C₄⋊₃₆D₁₀ = C₂×C₂³.₁D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:36D10	320,581
C₂²⋊C₄⋊₃₇D₁₀ = C₂×C₂²⋊D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:37D10	320,1159
C₂²⋊C₄⋊₃₈D₁₀ = C₂×D₁₀.₁₂D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:38D10	320,1160
C₂²⋊C₄⋊₃₉D₁₀ = C₂×D₁₀⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:39D10	320,1161
C₂²⋊C₄⋊₄₀D₁₀ = C₂⁴.₂₇D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:40D10	320,1162
C₂²⋊C₄⋊₄₁D₁₀ = C₂×Dic₅.₅D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:41D10	320,1163
C₂²⋊C₄⋊₄₂D₁₀ = C₂×C₂².D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:42D10	320,1164
C₂²⋊C₄⋊₄₃D₁₀ = C₂³⋊₃D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:43D10	320,1165
C₂²⋊C₄⋊₄₄D₁₀ = C₄²⋊₁₂D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:44D10	320,1219
C₂²⋊C₄⋊₄₅D₁₀ = D₄×D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:45D10	320,1221
C₂²⋊C₄⋊₄₆D₁₀ = D₂₀⋊₂₃D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:46D10	320,1222
C₂²⋊C₄⋊₄₇D₁₀ = D₄⋊₅D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:47D10	320,1226
C₂²⋊C₄⋊₄₈D₁₀ = C₄²⋊₁₆D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:48D10	320,1228
C₂²⋊C₄⋊₄₉D₁₀ = C₄²⋊₁₇D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:49D10	320,1232
C₂²⋊C₄⋊₅₀D₁₀ = C₂×Dic₅⋊₄D₄	φ: trivial image	160		C2^2:C4:50D10	320,1157
C₂²⋊C₄⋊₅₁D₁₀ = C₂⁴.₂₄D₁₀	φ: trivial image	80		C2^2:C4:51D10	320,1158
C₂²⋊C₄⋊₅₂D₁₀ = C₄×D₄×D₅	φ: trivial image	80		C2^2:C4:52D10	320,1216
C₂²⋊C₄⋊₅₃D₁₀ = C₄²⋊₁₁D₁₀	φ: trivial image	80		C2^2:C4:53D10	320,1217

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁D₁₀ = C₂⁴.₃₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4.1D10	320,1259
C₂²⋊C₄.₂D₁₀ = C₂⁴.₃₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4.2D10	320,1265
C₂²⋊C₄.₃D₁₀ = C₂⁴.₃₆D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4.3D10	320,1267
C₂²⋊C₄.₄D₁₀ = C₁₀.₆₈2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.4D10	320,1269
C₂²⋊C₄.₅D₁₀ = Dic₁₀⋊₁₉D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.5D10	320,1270
C₂²⋊C₄.₆D₁₀ = C₁₀.₃₅2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.6D10	320,1274
C₂²⋊C₄.₇D₁₀ = C₁₀.₃₆2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.7D10	320,1275
C₂²⋊C₄.₈D₁₀ = C₁₀.₃₉2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.8D10	320,1280
C₂²⋊C₄.₉D₁₀ = C₁₀.₇₃2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.9D10	320,1283
C₂²⋊C₄.₁₀D₁₀ = C₁₀.₁₁₅2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.10D10	320,1290
C₂²⋊C₄.₁₁D₁₀ = C₁₀.₄₇2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.11D10	320,1291
C₂²⋊C₄.₁₂D₁₀ = C₁₀.₇₄2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.12D10	320,1293
C₂²⋊C₄.₁₃D₁₀ = C₁₀.₁₅2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.13D10	320,1297
C₂²⋊C₄.₁₄D₁₀ = C₁₀.₁₆2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.14D10	320,1300
C₂²⋊C₄.₁₅D₁₀ = C₁₀.₁₇2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.15D10	320,1301
C₂²⋊C₄.₁₆D₁₀ = D₂₀⋊₂₂D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.16D10	320,1303
C₂²⋊C₄.₁₇D₁₀ = Dic₁₀⋊₂₂D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.17D10	320,1305
C₂²⋊C₄.₁₈D₁₀ = C₁₀.₂₀2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.18D10	320,1310
C₂²⋊C₄.₁₉D₁₀ = C₁₀.₂₁2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.19D10	320,1311
C₂²⋊C₄.₂₀D₁₀ = C₁₀.₂₂2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.20D10	320,1312
C₂²⋊C₄.₂₁D₁₀ = C₁₀.₂₃2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.21D10	320,1313
C₂²⋊C₄.₂₂D₁₀ = C₁₀.₂₄2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.22D10	320,1315
C₂²⋊C₄.₂₃D₁₀ = C₁₀.₅₈2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.23D10	320,1318
C₂²⋊C₄.₂₄D₁₀ = C₁₀.₂₆2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.24D10	320,1319
C₂²⋊C₄.₂₅D₁₀ = C₁₀.₇₉2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.25D10	320,1320
C₂²⋊C₄.₂₆D₁₀ = C₁₀.₈₁2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.26D10	320,1323
C₂²⋊C₄.₂₇D₁₀ = C₁₀.₈₂2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.27D10	320,1327
C₂²⋊C₄.₂₈D₁₀ = C₁₀.₆₃2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.28D10	320,1332
C₂²⋊C₄.₂₉D₁₀ = C₁₀.₈₄2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.29D10	320,1334
C₂²⋊C₄.₃₀D₁₀ = C₁₀.₆₆2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.30D10	320,1335
C₂²⋊C₄.₃₁D₁₀ = C₁₀.₆₇2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.31D10	320,1336
C₂²⋊C₄.₃₂D₁₀ = C₁₀.₆₉2₊¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.32D10	320,1339
C₂²⋊C₄.₃₃D₁₀ = C₄².₁₃₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.33D10	320,1343
C₂²⋊C₄.₃₄D₁₀ = C₄².₁₄₀D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.34D10	320,1344
C₂²⋊C₄.₃₅D₁₀ = C₄².₁₄₁D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.35D10	320,1347
C₂²⋊C₄.₃₆D₁₀ = C₄².₁₄₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.36D10	320,1353
C₂²⋊C₄.₃₇D₁₀ = C₄².₁₄₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.37D10	320,1354
C₂²⋊C₄.₃₈D₁₀ = C₄².₁₄₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.38D10	320,1356
C₂²⋊C₄.₃₉D₁₀ = C₄².₁₅₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.39D10	320,1373
C₂²⋊C₄.₄₀D₁₀ = C₄²⋊₂₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4.40D10	320,1376
C₂²⋊C₄.₄₁D₁₀ = C₄²⋊₂₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	80		C2^2:C4.41D10	320,1383
C₂²⋊C₄.₄₂D₁₀ = C₄².₁₆₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₂²⋊C₄	160		C2^2:C4.42D10	320,1384
C₂²⋊C₄.₄₃D₁₀ = C₂³⋊C₄⋊₅D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80	8-	C2^2:C4.43D10	320,367
C₂²⋊C₄.₄₄D₁₀ = C₂⁴.₅₆D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.44D10	320,1258
C₂²⋊C₄.₄₅D₁₀ = C₂₀⋊(C₄○D₄)	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.45D10	320,1268
C₂²⋊C₄.₄₆D₁₀ = Dic₁₀⋊₂₀D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.46D10	320,1271
C₂²⋊C₄.₄₇D₁₀ = C₄⋊C₄.₁₇₈D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.47D10	320,1272
C₂²⋊C₄.₄₈D₁₀ = C₁₀.₃₄2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.48D10	320,1273
C₂²⋊C₄.₄₉D₁₀ = C₁₀.₄₃2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.49D10	320,1286
C₂²⋊C₄.₅₀D₁₀ = C₁₀.₄₄2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.50D10	320,1287
C₂²⋊C₄.₅₁D₁₀ = C₁₀.₄₅2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.51D10	320,1288
C₂²⋊C₄.₅₂D₁₀ = (Q₈×Dic₅)⋊C₂	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.52D10	320,1294
C₂²⋊C₄.₅₃D₁₀ = C₁₀.₅₀2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.53D10	320,1295
C₂²⋊C₄.₅₄D₁₀ = C₂²⋊Q₈⋊₂₅D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.54D10	320,1296
C₂²⋊C₄.₅₅D₁₀ = D₅×C₂²⋊Q₈	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.55D10	320,1298
C₂²⋊C₄.₅₆D₁₀ = C₄⋊C₄⋊₂₆D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.56D10	320,1299
C₂²⋊C₄.₅₇D₁₀ = D₂₀⋊₂₁D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.57D10	320,1302
C₂²⋊C₄.₅₈D₁₀ = Dic₁₀⋊₂₁D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.58D10	320,1304
C₂²⋊C₄.₅₉D₁₀ = C₁₀.₅₁2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.59D10	320,1306
C₂²⋊C₄.₆₀D₁₀ = C₁₀.₁₁₈2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.60D10	320,1307
C₂²⋊C₄.₆₁D₁₀ = C₁₀.₅₂2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.61D10	320,1308
C₂²⋊C₄.₆₂D₁₀ = C₁₀.₅₃2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.62D10	320,1309
C₂²⋊C₄.₆₃D₁₀ = C₁₀.₇₇2_-¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.63D10	320,1314
C₂²⋊C₄.₆₄D₁₀ = C₁₀.₅₆2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.64D10	320,1316
C₂²⋊C₄.₆₅D₁₀ = C₁₀.₅₇2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.65D10	320,1317
C₂²⋊C₄.₆₆D₁₀ = C₄⋊C₄.₁₉₇D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.66D10	320,1321
C₂²⋊C₄.₆₇D₁₀ = C₁₀.₈₀2_-¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.67D10	320,1322
C₂²⋊C₄.₆₈D₁₀ = C₁₀.₆₄2₊¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.68D10	320,1333
C₂²⋊C₄.₆₉D₁₀ = C₁₀.₈₅2_-¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.69D10	320,1337
C₂²⋊C₄.₇₀D₁₀ = C₄².₂₃₃D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.70D10	320,1340
C₂²⋊C₄.₇₁D₁₀ = C₄².₁₃₇D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.71D10	320,1341
C₂²⋊C₄.₇₂D₁₀ = C₄².₁₃₈D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.72D10	320,1342
C₂²⋊C₄.₇₃D₁₀ = Dic₁₀⋊₁₀D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.73D10	320,1349
C₂²⋊C₄.₇₄D₁₀ = C₄².₂₃₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.74D10	320,1352
C₂²⋊C₄.₇₅D₁₀ = C₄².₁₆₀D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.75D10	320,1374
C₂²⋊C₄.₇₆D₁₀ = D₅×C₄²⋊₂C₂	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.76D10	320,1375
C₂²⋊C₄.₇₇D₁₀ = C₄²⋊₂₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.77D10	320,1377
C₂²⋊C₄.₇₈D₁₀ = C₄².₁₈₉D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.78D10	320,1378
C₂²⋊C₄.₇₉D₁₀ = C₄².₁₆₁D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.79D10	320,1379
C₂²⋊C₄.₈₀D₁₀ = C₄².₁₆₂D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.80D10	320,1380
C₂²⋊C₄.₈₁D₁₀ = C₄².₁₆₃D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.81D10	320,1381
C₂²⋊C₄.₈₂D₁₀ = C₄².₁₆₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.82D10	320,1382
C₂²⋊C₄.₈₃D₁₀ = (C₂×D₂₀)⋊₂₅C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80	4	C2^2:C4.83D10	320,633
C₂²⋊C₄.₈₄D₁₀ = C₂×Dic₅.₁₄D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.84D10	320,1153
C₂²⋊C₄.₈₅D₁₀ = C₂×C₂³.D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.85D10	320,1154
C₂²⋊C₄.₈₆D₁₀ = C₂³⋊₂Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.86D10	320,1155
C₂²⋊C₄.₈₇D₁₀ = C₂⁴.₃₀D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.87D10	320,1166
C₂²⋊C₄.₈₈D₁₀ = C₂⁴.₃₁D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.88D10	320,1167
C₂²⋊C₄.₈₉D₁₀ = C₄².₈₈D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.89D10	320,1189
C₂²⋊C₄.₉₀D₁₀ = C₄².₈₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.90D10	320,1190
C₂²⋊C₄.₉₁D₁₀ = C₄².₉₀D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.91D10	320,1191
C₂²⋊C₄.₉₂D₁₀ = C₄²⋊₈D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.92D10	320,1196
C₂²⋊C₄.₉₃D₁₀ = C₄²⋊₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.93D10	320,1197
C₂²⋊C₄.₉₄D₁₀ = C₄².₉₂D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.94D10	320,1198
C₂²⋊C₄.₉₅D₁₀ = C₄²⋊₁₀D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.95D10	320,1199
C₂²⋊C₄.₉₆D₁₀ = C₄².₉₃D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.96D10	320,1200
C₂²⋊C₄.₉₇D₁₀ = C₄².₉₄D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.97D10	320,1201
C₂²⋊C₄.₉₈D₁₀ = C₄².₉₅D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.98D10	320,1202
C₂²⋊C₄.₉₉D₁₀ = C₄².₉₆D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.99D10	320,1203
C₂²⋊C₄.₁₀₀D₁₀ = C₄².₉₇D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.100D10	320,1204
C₂²⋊C₄.₁₀₁D₁₀ = C₄².₉₈D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.101D10	320,1205
C₂²⋊C₄.₁₀₂D₁₀ = C₄².₉₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.102D10	320,1206
C₂²⋊C₄.₁₀₃D₁₀ = C₄².₁₀₀D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.103D10	320,1207
C₂²⋊C₄.₁₀₄D₁₀ = D₄×Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.104D10	320,1209
C₂²⋊C₄.₁₀₅D₁₀ = C₄².₁₀₂D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.105D10	320,1210
C₂²⋊C₄.₁₀₆D₁₀ = D₄⋊₅Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.106D10	320,1211
C₂²⋊C₄.₁₀₇D₁₀ = C₄².₁₀₆D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.107D10	320,1214
C₂²⋊C₄.₁₀₈D₁₀ = D₄⋊₆Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.108D10	320,1215
C₂²⋊C₄.₁₀₉D₁₀ = C₄².₂₂₈D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.109D10	320,1220
C₂²⋊C₄.₁₁₀D₁₀ = D₂₀⋊₂₄D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.110D10	320,1223
C₂²⋊C₄.₁₁₁D₁₀ = Dic₁₀⋊₂₃D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.111D10	320,1224
C₂²⋊C₄.₁₁₂D₁₀ = Dic₁₀⋊₂₄D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.112D10	320,1225
C₂²⋊C₄.₁₁₃D₁₀ = D₄⋊₆D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.113D10	320,1227
C₂²⋊C₄.₁₁₄D₁₀ = C₄².₂₂₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.114D10	320,1229
C₂²⋊C₄.₁₁₅D₁₀ = C₄².₁₁₃D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.115D10	320,1230
C₂²⋊C₄.₁₁₆D₁₀ = C₄².₁₁₄D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.116D10	320,1231
C₂²⋊C₄.₁₁₇D₁₀ = C₄².₁₁₅D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.117D10	320,1233
C₂²⋊C₄.₁₁₈D₁₀ = C₄².₁₁₆D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.118D10	320,1234
C₂²⋊C₄.₁₁₉D₁₀ = C₄².₁₁₇D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.119D10	320,1235
C₂²⋊C₄.₁₂₀D₁₀ = C₄².₁₁₈D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.120D10	320,1236
C₂²⋊C₄.₁₂₁D₁₀ = C₄².₁₁₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.121D10	320,1237
C₂²⋊C₄.₁₂₂D₁₀ = C₂×C₂³.₁₁D₁₀	φ: trivial image	160		C2^2:C4.122D10	320,1152
C₂²⋊C₄.₁₂₃D₁₀ = C₄².₈₇D₁₀	φ: trivial image	160		C2^2:C4.123D10	320,1188
C₂²⋊C₄.₁₂₄D₁₀ = D₅×C₄²⋊C₂	φ: trivial image	80		C2^2:C4.124D10	320,1192
C₂²⋊C₄.₁₂₅D₁₀ = C₄²⋊₇D₁₀	φ: trivial image	80		C2^2:C4.125D10	320,1193
C₂²⋊C₄.₁₂₆D₁₀ = C₄².₁₈₈D₁₀	φ: trivial image	160		C2^2:C4.126D10	320,1194
C₂²⋊C₄.₁₂₇D₁₀ = C₄².₉₁D₁₀	φ: trivial image	160		C2^2:C4.127D10	320,1195
C₂²⋊C₄.₁₂₈D₁₀ = C₄×D₄⋊₂D₅	φ: trivial image	160		C2^2:C4.128D10	320,1208
C₂²⋊C₄.₁₂₉D₁₀ = C₄².₁₀₄D₁₀	φ: trivial image	160		C2^2:C4.129D10	320,1212
C₂²⋊C₄.₁₃₀D₁₀ = C₄².₁₀₅D₁₀	φ: trivial image	160		C2^2:C4.130D10	320,1213
C₂²⋊C₄.₁₃₁D₁₀ = C₄².₁₀₈D₁₀	φ: trivial image	160		C2^2:C4.131D10	320,1218

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Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=D10

Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=D₁₀