Extensions 1→N→G→Q→1 with N=Dic₅⋊₄D₄ and Q=C₂

Direct product G=N×Q with N=Dic₅⋊₄D₄ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅⋊₄D₄		160		C2xDic5:4D4	320,1157

Semidirect products G=N:Q with N=Dic₅⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₅⋊₄D₄⋊₁C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:1C2	320,1258
Dic₅⋊₄D₄⋊₂C₂ = C₂⁴⋊₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:2C2	320,1262
Dic₅⋊₄D₄⋊₃C₂ = C₂⁴.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:3C2	320,1263
Dic₅⋊₄D₄⋊₄C₂ = C₂⁴.₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:4C2	320,1265
Dic₅⋊₄D₄⋊₅C₂ = C₂₀⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:5C2	320,1268
Dic₅⋊₄D₄⋊₆C₂ = Dic₁₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:6C2	320,1271
Dic₅⋊₄D₄⋊₇C₂ = C₁₀.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:7C2	320,1273
Dic₅⋊₄D₄⋊₈C₂ = C₄⋊C₄⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:8C2	320,1278
Dic₅⋊₄D₄⋊₉C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:9C2	320,1282
Dic₅⋊₄D₄⋊₁₀C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:10C2	320,1285
Dic₅⋊₄D₄⋊₁₁C₂ = C₁₀.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:11C2	320,1286
Dic₅⋊₄D₄⋊₁₂C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:12C2	320,1287
Dic₅⋊₄D₄⋊₁₃C₂ = C₂²⋊Q₈⋊₂₅D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:13C2	320,1296
Dic₅⋊₄D₄⋊₁₄C₂ = C₄⋊C₄⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:14C2	320,1299
Dic₅⋊₄D₄⋊₁₅C₂ = C₁₀.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:15C2	320,1316
Dic₅⋊₄D₄⋊₁₆C₂ = C₁₀.₅₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:16C2	320,1317
Dic₅⋊₄D₄⋊₁₇C₂ = C₄⋊C₄.₁₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:17C2	320,1321
Dic₅⋊₄D₄⋊₁₈C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:18C2	320,1326
Dic₅⋊₄D₄⋊₁₉C₂ = C₁₀.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:19C2	320,1327
Dic₅⋊₄D₄⋊₂₀C₂ = C₄⋊C₄⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:20C2	320,1328
Dic₅⋊₄D₄⋊₂₁C₂ = C₁₀.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:21C2	320,1330
Dic₅⋊₄D₄⋊₂₂C₂ = C₁₀.₆₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:22C2	320,1332
Dic₅⋊₄D₄⋊₂₃C₂ = C₁₀.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:23C2	320,1333
Dic₅⋊₄D₄⋊₂₄C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:24C2	320,1335
Dic₅⋊₄D₄⋊₂₅C₂ = C₁₀.₆₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:25C2	320,1336
Dic₅⋊₄D₄⋊₂₆C₂ = C₁₀.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:26C2	320,1337
Dic₅⋊₄D₄⋊₂₇C₂ = C₄².₂₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:27C2	320,1340
Dic₅⋊₄D₄⋊₂₈C₂ = C₄².₁₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:28C2	320,1341
Dic₅⋊₄D₄⋊₂₉C₂ = C₄².₁₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:29C2	320,1342
Dic₅⋊₄D₄⋊₃₀C₂ = Dic₁₀⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:30C2	320,1349
Dic₅⋊₄D₄⋊₃₁C₂ = C₄²⋊₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:31C2	320,1350
Dic₅⋊₄D₄⋊₃₂C₂ = C₄²⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:32C2	320,1351
Dic₅⋊₄D₄⋊₃₃C₂ = C₄².₂₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:33C2	320,1352
Dic₅⋊₄D₄⋊₃₄C₂ = C₄².₁₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:34C2	320,1353
Dic₅⋊₄D₄⋊₃₅C₂ = C₄².₁₈₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:35C2	320,1378
Dic₅⋊₄D₄⋊₃₆C₂ = C₄².₁₆₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:36C2	320,1379
Dic₅⋊₄D₄⋊₃₇C₂ = C₄².₁₆₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:37C2	320,1381
Dic₅⋊₄D₄⋊₃₈C₂ = C₄².₁₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:38C2	320,1382
Dic₅⋊₄D₄⋊₃₉C₂ = C₂⁴.₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:39C2	320,1158
Dic₅⋊₄D₄⋊₄₀C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:40C2	320,1162
Dic₅⋊₄D₄⋊₄₁C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:41C2	320,1167
Dic₅⋊₄D₄⋊₄₂C₂ = C₄².₉₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:42C2	320,1195
Dic₅⋊₄D₄⋊₄₃C₂ = C₄²⋊₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:43C2	320,1199
Dic₅⋊₄D₄⋊₄₄C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:44C2	320,1212
Dic₅⋊₄D₄⋊₄₅C₂ = C₄²⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	80	Dic5:4D4:45C2	320,1217
Dic₅⋊₄D₄⋊₄₆C₂ = C₄².₁₀₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:46C2	320,1218
Dic₅⋊₄D₄⋊₄₇C₂ = Dic₁₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:47C2	320,1224
Dic₅⋊₄D₄⋊₄₈C₂ = C₄².₁₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4:48C2	320,1237
Dic₅⋊₄D₄⋊₄₉C₂ = C₄².₁₈₈D₁₀	φ: trivial image	160	Dic5:4D4:49C2	320,1194
Dic₅⋊₄D₄⋊₅₀C₂ = C₄×D₄⋊₂D₅	φ: trivial image	160	Dic5:4D4:50C2	320,1208
Dic₅⋊₄D₄⋊₅₁C₂ = C₄×D₄×D₅	φ: trivial image	80	Dic5:4D4:51C2	320,1216

Non-split extensions G=N.Q with N=Dic₅⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₅⋊₄D₄.₁C₂ = Dic₁₀⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.1C2	320,1304
Dic₅⋊₄D₄.₂C₂ = C₁₀.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.2C2	320,1307
Dic₅⋊₄D₄.₃C₂ = C₁₀.₅₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.3C2	320,1308
Dic₅⋊₄D₄.₄C₂ = C₄².₁₆₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.4C2	320,1374
Dic₅⋊₄D₄.₅C₂ = C₄².₁₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.5C2	320,1380
Dic₅⋊₄D₄.₆C₂ = C₄².₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.6C2	320,1203
Dic₅⋊₄D₄.₇C₂ = C₅⋊C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.7C2	320,1031
Dic₅⋊₄D₄.₈C₂ = D₁₀⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.8C2	320,1032
Dic₅⋊₄D₄.₉C₂ = Dic₅⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.9C2	320,1033
Dic₅⋊₄D₄.₁₀C₂ = C₅⋊C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₄D₄	160	Dic5:4D4.10C2	320,1030

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Extensions 1→N→G→Q→1 with N=Dic5⋊4D4 and Q=C2

Extensions 1→N→G→Q→1 with N=Dic₅⋊₄D₄ and Q=C₂