Extensions 1→N→G→Q→1 with N=C₂³.D₅ and Q=C₂²

Direct product G=N×Q with N=C₂³.D₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₂³.D₅		160		C2^2xC2^3.D5	320,1511

Semidirect products G=N:Q with N=C₂³.D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₅⋊₁C₂² = C₂³⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	40	8+	C2^3.D5:1C2^2	320,368
C₂³.D₅⋊₂C₂² = C₂³.₅D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80	8-	C2^3.D5:2C2^2	320,369
C₂³.D₅⋊₃C₂² = D₅×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	40	8+	C2^3.D5:3C2^2	320,370
C₂³.D₅⋊₄C₂² = C₂⁴⋊₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	40	4	C2^3.D5:4C2^2	320,659
C₂³.D₅⋊₅C₂² = C₂²⋊C₄⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80	4	C2^3.D5:5C2^2	320,680
C₂³.D₅⋊₆C₂² = 2₊¹⁺⁴.₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80	8-	C2^3.D5:6C2^2	320,870
C₂³.D₅⋊₇C₂² = 2₊¹⁺⁴⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	40	8+	C2^3.D5:7C2^2	320,871
C₂³.D₅⋊₈C₂² = C₂⁴.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:8C2^2	320,1162
C₂³.D₅⋊₉C₂² = C₄²⋊₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:9C2^2	320,1228
C₂³.D₅⋊₁₀C₂² = C₄²⋊₁₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:10C2^2	320,1232
C₂³.D₅⋊₁₁C₂² = C₂⁴.₅₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:11C2^2	320,1258
C₂³.D₅⋊₁₂C₂² = C₂⁴.₃₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:12C2^2	320,1259
C₂³.D₅⋊₁₃C₂² = D₅×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	40		C2^3.D5:13C2^2	320,1260
C₂³.D₅⋊₁₄C₂² = C₂⁴⋊₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:14C2^2	320,1261
C₂³.D₅⋊₁₅C₂² = C₂⁴⋊₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:15C2^2	320,1262
C₂³.D₅⋊₁₆C₂² = C₂⁴.₃₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:16C2^2	320,1264
C₂³.D₅⋊₁₇C₂² = C₂⁴.₃₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:17C2^2	320,1265
C₂³.D₅⋊₁₈C₂² = C₂⁴⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:18C2^2	320,1266
C₂³.D₅⋊₁₉C₂² = C₂⁴.₃₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:19C2^2	320,1267
C₂³.D₅⋊₂₀C₂² = D₅×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:20C2^2	320,1276
C₂³.D₅⋊₂₁C₂² = C₁₀.₃₇2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:21C2^2	320,1277
C₂³.D₅⋊₂₂C₂² = C₄⋊C₄⋊₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:22C2^2	320,1278
C₂³.D₅⋊₂₃C₂² = C₁₀.₃₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:23C2^2	320,1279
C₂³.D₅⋊₂₄C₂² = D₂₀⋊₂₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:24C2^2	320,1284
C₂³.D₅⋊₂₅C₂² = C₁₀.₄₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:25C2^2	320,1285
C₂³.D₅⋊₂₆C₂² = C₁₀.₄₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:26C2^2	320,1289
C₂³.D₅⋊₂₇C₂² = C₁₀.₄₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:27C2^2	320,1292
C₂³.D₅⋊₂₈C₂² = D₅×C₂².D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:28C2^2	320,1324
C₂³.D₅⋊₂₉C₂² = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:29C2^2	320,1325
C₂³.D₅⋊₃₀C₂² = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:30C2^2	320,1326
C₂³.D₅⋊₃₁C₂² = C₁₀.₁₂₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:31C2^2	320,1330
C₂³.D₅⋊₃₂C₂² = D₅×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:32C2^2	320,1345
C₂³.D₅⋊₃₃C₂² = D₂₀⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:33C2^2	320,1348
C₂³.D₅⋊₃₄C₂² = C₄²⋊₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:34C2^2	320,1351
C₂³.D₅⋊₃₅C₂² = C₄²⋊₂₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:35C2^2	320,1355
C₂³.D₅⋊₃₆C₂² = C₄²⋊₂₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:36C2^2	320,1387
C₂³.D₅⋊₃₇C₂² = D₂₀⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:37C2^2	320,1389
C₂³.D₅⋊₃₈C₂² = C₄²⋊₂₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:38C2^2	320,1392
C₂³.D₅⋊₃₉C₂² = C₂⁴.₄₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:39C2^2	320,1477
C₂³.D₅⋊₄₀C₂² = C₂⁴.₄₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:40C2^2	320,1478
C₂³.D₅⋊₄₁C₂² = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5:41C2^2	320,1501
C₂³.D₅⋊₄₂C₂² = C₂×C₂³.₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:42C2^2	320,581
C₂³.D₅⋊₄₃C₂² = C₂×C₂³⋊Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:43C2^2	320,846
C₂³.D₅⋊₄₄C₂² = C₂×D₅×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:44C2^2	320,1156
C₂³.D₅⋊₄₅C₂² = C₂×D₁₀.₁₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:45C2^2	320,1160
C₂³.D₅⋊₄₆C₂² = C₂×Dic₅.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:46C2^2	320,1163
C₂³.D₅⋊₄₇C₂² = C₄×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:47C2^2	320,1216
C₂³.D₅⋊₄₈C₂² = C₄²⋊₁₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:48C2^2	320,1217
C₂³.D₅⋊₄₉C₂² = C₄²⋊₁₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:49C2^2	320,1219
C₂³.D₅⋊₅₀C₂² = C₂⁴.₃₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:50C2^2	320,1263
C₂³.D₅⋊₅₁C₂² = D₂₀⋊₁₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:51C2^2	320,1281
C₂³.D₅⋊₅₂C₂² = C₁₀.₄₀2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:52C2^2	320,1282
C₂³.D₅⋊₅₃C₂² = C₁₀.₆₁2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:53C2^2	320,1329
C₂³.D₅⋊₅₄C₂² = C₁₀.₆₂2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:54C2^2	320,1331
C₂³.D₅⋊₅₅C₂² = C₂×C₂³.₂₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:55C2^2	320,1461
C₂³.D₅⋊₅₆C₂² = C₂×D₄×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:56C2^2	320,1467
C₂³.D₅⋊₅₇C₂² = C₂×C₂³.₁₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:57C2^2	320,1468
C₂³.D₅⋊₅₈C₂² = C₂×C₂₀.₁₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:58C2^2	320,1469
C₂³.D₅⋊₅₉C₂² = C₂⁴.₃₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:59C2^2	320,1470
C₂³.D₅⋊₆₀C₂² = C₂×C₂³⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:60C2^2	320,1471
C₂³.D₅⋊₆₁C₂² = C₂×C₂₀⋊₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:61C2^2	320,1472
C₂³.D₅⋊₆₂C₂² = D₄×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:62C2^2	320,1473
C₂³.D₅⋊₆₃C₂² = C₂×Dic₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5:63C2^2	320,1474
C₂³.D₅⋊₆₄C₂² = C₂⁴⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:64C2^2	320,1476
C₂³.D₅⋊₆₅C₂² = (C₂×C₂₀)⋊₁₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:65C2^2	320,1500
C₂³.D₅⋊₆₆C₂² = C₂×C₂⁴⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5:66C2^2	320,1512
C₂³.D₅⋊₆₇C₂² = C₂⁴.₂₄D₁₀	φ: trivial image	80		C2^3.D5:67C2^2	320,1158
C₂³.D₅⋊₆₈C₂² = C₂×C₄×C₅⋊D₄	φ: trivial image	160		C2^3.D5:68C2^2	320,1460

Non-split extensions G=N.Q with N=C₂³.D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₅.₁C₂² = C₂³⋊C₄⋊₅D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80	8-	C2^3.D5.1C2^2	320,367
C₂³.D₅.₂C₂² = C₂⁴.₃₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.2C2^2	320,1166
C₂³.D₅.₃C₂² = C₄².₈₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.3C2^2	320,1190
C₂³.D₅.₄C₂² = C₄²⋊₁₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.4C2^2	320,1199
C₂³.D₅.₅C₂² = C₄².₉₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.5C2^2	320,1203
C₂³.D₅.₆C₂² = C₄².₉₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.6C2^2	320,1206
C₂³.D₅.₇C₂² = D₄×Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.7C2^2	320,1209
C₂³.D₅.₈C₂² = D₄⋊₅Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.8C2^2	320,1211
C₂³.D₅.₉C₂² = C₄².₁₀₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.9C2^2	320,1213
C₂³.D₅.₁₀C₂² = D₄⋊₆Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.10C2^2	320,1215
C₂³.D₅.₁₁C₂² = D₂₀⋊₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.11C2^2	320,1222
C₂³.D₅.₁₂C₂² = D₂₀⋊₂₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.12C2^2	320,1223
C₂³.D₅.₁₃C₂² = Dic₁₀⋊₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.13C2^2	320,1224
C₂³.D₅.₁₄C₂² = C₄².₁₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.14C2^2	320,1230
C₂³.D₅.₁₅C₂² = C₄².₁₁₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.15C2^2	320,1233
C₂³.D₅.₁₆C₂² = C₄².₁₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.16C2^2	320,1234
C₂³.D₅.₁₇C₂² = C₄².₁₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.17C2^2	320,1236
C₂³.D₅.₁₈C₂² = C₂₀⋊(C₄○D₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.18C2^2	320,1268
C₂³.D₅.₁₉C₂² = C₁₀.₆₈2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.19C2^2	320,1269
C₂³.D₅.₂₀C₂² = Dic₁₀⋊₁₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.20C2^2	320,1270
C₂³.D₅.₂₁C₂² = C₄⋊C₄.₁₇₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.21C2^2	320,1272
C₂³.D₅.₂₂C₂² = C₁₀.₃₄2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.22C2^2	320,1273
C₂³.D₅.₂₃C₂² = C₁₀.₃₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.23C2^2	320,1274
C₂³.D₅.₂₄C₂² = C₁₀.₃₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.24C2^2	320,1275
C₂³.D₅.₂₅C₂² = C₁₀.₃₉2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.25C2^2	320,1280
C₂³.D₅.₂₆C₂² = C₁₀.₄₃2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.26C2^2	320,1286
C₂³.D₅.₂₇C₂² = C₁₀.₄₄2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.27C2^2	320,1287
C₂³.D₅.₂₈C₂² = C₁₀.₁₁₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.28C2^2	320,1290
C₂³.D₅.₂₉C₂² = C₁₀.₇₄2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.29C2^2	320,1293
C₂³.D₅.₃₀C₂² = (Q₈×Dic₅)⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.30C2^2	320,1294
C₂³.D₅.₃₁C₂² = C₁₀.₅₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.31C2^2	320,1295
C₂³.D₅.₃₂C₂² = D₅×C₂²⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.32C2^2	320,1298
C₂³.D₅.₃₃C₂² = C₁₀.₁₆2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.33C2^2	320,1300
C₂³.D₅.₃₄C₂² = C₁₀.₅₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.34C2^2	320,1306
C₂³.D₅.₃₅C₂² = C₁₀.₂₂2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.35C2^2	320,1312
C₂³.D₅.₃₆C₂² = C₁₀.₅₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.36C2^2	320,1318
C₂³.D₅.₃₇C₂² = C₁₀.₂₆2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.37C2^2	320,1319
C₂³.D₅.₃₈C₂² = C₁₀.₇₉2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.38C2^2	320,1320
C₂³.D₅.₃₉C₂² = C₄⋊C₄.₁₉₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.39C2^2	320,1321
C₂³.D₅.₄₀C₂² = C₁₀.₈₀2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.40C2^2	320,1322
C₂³.D₅.₄₁C₂² = C₁₀.₈₁2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.41C2^2	320,1323
C₂³.D₅.₄₂C₂² = C₁₀.₈₂2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.42C2^2	320,1327
C₂³.D₅.₄₃C₂² = C₄⋊C₄⋊₂₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.43C2^2	320,1328
C₂³.D₅.₄₄C₂² = C₁₀.₆₃2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.44C2^2	320,1332
C₂³.D₅.₄₅C₂² = C₁₀.₈₄2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.45C2^2	320,1334
C₂³.D₅.₄₆C₂² = C₁₀.₆₇2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.46C2^2	320,1336
C₂³.D₅.₄₇C₂² = C₁₀.₈₅2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.47C2^2	320,1337
C₂³.D₅.₄₈C₂² = C₁₀.₆₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.48C2^2	320,1338
C₂³.D₅.₄₉C₂² = C₁₀.₆₉2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.49C2^2	320,1339
C₂³.D₅.₅₀C₂² = C₄².₁₃₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.50C2^2	320,1341
C₂³.D₅.₅₁C₂² = C₄².₁₃₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.51C2^2	320,1342
C₂³.D₅.₅₂C₂² = C₄².₁₃₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.52C2^2	320,1343
C₂³.D₅.₅₃C₂² = C₄².₁₄₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.53C2^2	320,1344
C₂³.D₅.₅₄C₂² = C₄².₁₄₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.54C2^2	320,1347
C₂³.D₅.₅₅C₂² = Dic₁₀⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.55C2^2	320,1349
C₂³.D₅.₅₆C₂² = C₄²⋊₂₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.56C2^2	320,1350
C₂³.D₅.₅₇C₂² = C₄².₂₃₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.57C2^2	320,1352
C₂³.D₅.₅₈C₂² = C₄².₁₄₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.58C2^2	320,1353
C₂³.D₅.₅₉C₂² = C₄².₁₄₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.59C2^2	320,1354
C₂³.D₅.₆₀C₂² = C₄².₁₄₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.60C2^2	320,1356
C₂³.D₅.₆₁C₂² = C₄².₁₅₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.61C2^2	320,1373
C₂³.D₅.₆₂C₂² = C₄².₁₆₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.62C2^2	320,1374
C₂³.D₅.₆₃C₂² = D₅×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.63C2^2	320,1375
C₂³.D₅.₆₄C₂² = C₄²⋊₂₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.64C2^2	320,1376
C₂³.D₅.₆₅C₂² = C₄²⋊₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	80		C2^3.D5.65C2^2	320,1377
C₂³.D₅.₆₆C₂² = C₄².₁₈₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.66C2^2	320,1378
C₂³.D₅.₆₇C₂² = C₄².₁₆₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.67C2^2	320,1379
C₂³.D₅.₆₈C₂² = C₄².₁₆₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.68C2^2	320,1380
C₂³.D₅.₆₉C₂² = C₄².₁₆₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.69C2^2	320,1382
C₂³.D₅.₇₀C₂² = C₄².₁₆₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.70C2^2	320,1384
C₂³.D₅.₇₁C₂² = C₄².₁₆₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.71C2^2	320,1385
C₂³.D₅.₇₂C₂² = C₄².₂₃₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.72C2^2	320,1388
C₂³.D₅.₇₃C₂² = Dic₁₀⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.73C2^2	320,1390
C₂³.D₅.₇₄C₂² = C₄².₁₆₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.74C2^2	320,1391
C₂³.D₅.₇₅C₂² = C₁₀.₁₀₄2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.75C2^2	320,1496
C₂³.D₅.₇₆C₂² = C₁₀.₁₀₇2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.76C2^2	320,1503
C₂³.D₅.₇₇C₂² = C₁₀.₁₄₇2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₅	160		C2^3.D5.77C2^2	320,1505
C₂³.D₅.₇₈C₂² = (C₂×D₂₀)⋊₂₅C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80	4	C2^3.D5.78C2^2	320,633
C₂³.D₅.₇₉C₂² = (D₄×C₁₀)⋊₂₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80	4	C2^3.D5.79C2^2	320,867
C₂³.D₅.₈₀C₂² = C₄².₂₇₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.80C2^2	320,1142
C₂³.D₅.₈₁C₂² = C₄².₂₇₇D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.81C2^2	320,1151
C₂³.D₅.₈₂C₂² = C₂×C₂³.₁₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.82C2^2	320,1152
C₂³.D₅.₈₃C₂² = C₂×Dic₅.₁₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.83C2^2	320,1153
C₂³.D₅.₈₄C₂² = C₂×C₂³.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.84C2^2	320,1154
C₂³.D₅.₈₅C₂² = C₂³⋊₂Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.85C2^2	320,1155
C₂³.D₅.₈₆C₂² = C₁₀.₁2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.86C2^2	320,1172
C₂³.D₅.₈₇C₂² = C₁₀.2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.87C2^2	320,1179
C₂³.D₅.₈₈C₂² = C₁₀.₁₀2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.88C2^2	320,1183
C₂³.D₅.₈₉C₂² = C₁₀.₆2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.89C2^2	320,1187
C₂³.D₅.₉₀C₂² = C₄².₈₇D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.90C2^2	320,1188
C₂³.D₅.₉₁C₂² = C₄².₈₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.91C2^2	320,1189
C₂³.D₅.₉₂C₂² = C₄².₉₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.92C2^2	320,1191
C₂³.D₅.₉₃C₂² = D₅×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.93C2^2	320,1192
C₂³.D₅.₉₄C₂² = C₄²⋊₇D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.94C2^2	320,1193
C₂³.D₅.₉₅C₂² = C₄².₉₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.95C2^2	320,1200
C₂³.D₅.₉₆C₂² = C₄².₉₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.96C2^2	320,1201
C₂³.D₅.₉₇C₂² = C₄².₉₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.97C2^2	320,1202
C₂³.D₅.₉₈C₂² = C₄².₉₇D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.98C2^2	320,1204
C₂³.D₅.₉₉C₂² = C₄².₉₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.99C2^2	320,1205
C₂³.D₅.₁₀₀C₂² = C₄×D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.100C2^2	320,1208
C₂³.D₅.₁₀₁C₂² = C₄².₁₀₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.101C2^2	320,1210
C₂³.D₅.₁₀₂C₂² = C₄².₁₀₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.102C2^2	320,1212
C₂³.D₅.₁₀₃C₂² = C₄².₁₀₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.103C2^2	320,1214
C₂³.D₅.₁₀₄C₂² = C₄².₁₀₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.104C2^2	320,1218
C₂³.D₅.₁₀₅C₂² = C₄².₂₂₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.105C2^2	320,1220
C₂³.D₅.₁₀₆C₂² = C₄².₂₂₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.106C2^2	320,1229
C₂³.D₅.₁₀₇C₂² = C₄².₁₁₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.107C2^2	320,1231
C₂³.D₅.₁₀₈C₂² = C₄².₁₁₇D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.108C2^2	320,1235
C₂³.D₅.₁₀₉C₂² = C₄².₁₁₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.109C2^2	320,1237
C₂³.D₅.₁₁₀C₂² = Dic₁₀⋊₂₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.110C2^2	320,1271
C₂³.D₅.₁₁₁C₂² = C₁₀.₇₃2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.111C2^2	320,1283
C₂³.D₅.₁₁₂C₂² = C₁₀.₄₅2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.112C2^2	320,1288
C₂³.D₅.₁₁₃C₂² = C₁₀.₄₇2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.113C2^2	320,1291
C₂³.D₅.₁₁₄C₂² = C₁₀.₁₅2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.114C2^2	320,1297
C₂³.D₅.₁₁₅C₂² = D₂₀⋊₂₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.115C2^2	320,1302
C₂³.D₅.₁₁₆C₂² = D₂₀⋊₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.116C2^2	320,1303
C₂³.D₅.₁₁₇C₂² = Dic₁₀⋊₂₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.117C2^2	320,1304
C₂³.D₅.₁₁₈C₂² = Dic₁₀⋊₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.118C2^2	320,1305
C₂³.D₅.₁₁₉C₂² = C₁₀.₁₁₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.119C2^2	320,1307
C₂³.D₅.₁₂₀C₂² = C₁₀.₅₂2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.120C2^2	320,1308
C₂³.D₅.₁₂₁C₂² = C₁₀.₅₃2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.121C2^2	320,1309
C₂³.D₅.₁₂₂C₂² = C₁₀.₂₀2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.122C2^2	320,1310
C₂³.D₅.₁₂₃C₂² = C₁₀.₂₁2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.123C2^2	320,1311
C₂³.D₅.₁₂₄C₂² = C₁₀.₂₃2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.124C2^2	320,1313
C₂³.D₅.₁₂₅C₂² = C₁₀.₇₇2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.125C2^2	320,1314
C₂³.D₅.₁₂₆C₂² = C₁₀.₂₄2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.126C2^2	320,1315
C₂³.D₅.₁₂₇C₂² = C₁₀.₆₄2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.127C2^2	320,1333
C₂³.D₅.₁₂₈C₂² = C₁₀.₆₆2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.128C2^2	320,1335
C₂³.D₅.₁₂₉C₂² = C₂×C₂₀.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.129C2^2	320,1456
C₂³.D₅.₁₃₀C₂² = C₂⁴.₇₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.130C2^2	320,1463
C₂³.D₅.₁₃₁C₂² = Q₈×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.131C2^2	320,1487
C₂³.D₅.₁₃₂C₂² = C₁₀.₄₄2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.132C2^2	320,1488
C₂³.D₅.₁₃₃C₂² = C₁₀.₁₀₅2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.133C2^2	320,1497
C₂³.D₅.₁₃₄C₂² = C₄○D₄×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.134C2^2	320,1498
C₂³.D₅.₁₃₅C₂² = C₁₀.₁₀₆2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.135C2^2	320,1499
C₂³.D₅.₁₃₆C₂² = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	80		C2^3.D5.136C2^2	320,1502
C₂³.D₅.₁₃₇C₂² = (C₂×C₂₀)⋊₁₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.137C2^2	320,1504
C₂³.D₅.₁₃₈C₂² = C₁₀.₁₄₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₅	160		C2^3.D5.138C2^2	320,1506
C₂³.D₅.₁₃₉C₂² = C₄×C₄○D₂₀	φ: trivial image	160		C2^3.D5.139C2^2	320,1146
C₂³.D₅.₁₄₀C₂² = C₂⁴.₃₁D₁₀	φ: trivial image	80		C2^3.D5.140C2^2	320,1167
C₂³.D₅.₁₄₁C₂² = C₁₀.₈2₊¹⁺⁴	φ: trivial image	160		C2^3.D5.141C2^2	320,1176
C₂³.D₅.₁₄₂C₂² = C₁₀.₅2_-¹⁺⁴	φ: trivial image	160		C2^3.D5.142C2^2	320,1185
C₂³.D₅.₁₄₃C₂² = C₁₀.₁₁2₊¹⁺⁴	φ: trivial image	160		C2^3.D5.143C2^2	320,1186
C₂³.D₅.₁₄₄C₂² = C₂×C₂³.₂₁D₁₀	φ: trivial image	160		C2^3.D5.144C2^2	320,1458
C₂³.D₅.₁₄₅C₂² = C₁₀.₄₂2_-¹⁺⁴	φ: trivial image	160		C2^3.D5.145C2^2	320,1484
C₂³.D₅.₁₄₆C₂² = C₁₀.₄₅2_-¹⁺⁴	φ: trivial image	160		C2^3.D5.146C2^2	320,1489

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Extensions 1→N→G→Q→1 with N=C23.D5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³.D₅ and Q=C₂²