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

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

		d	ρ	Label	ID
C₂×Dic₅⋊D₄		160		C2xDic5:D4	320,1474

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

extension	φ:Q→Out N	d	Label	ID
Dic₅⋊D₄⋊₁C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:1C2	320,1258
Dic₅⋊D₄⋊₂C₂ = C₂⁴⋊₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:2C2	320,1262
Dic₅⋊D₄⋊₃C₂ = C₂⁴.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:3C2	320,1263
Dic₅⋊D₄⋊₄C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:4C2	320,1264
Dic₅⋊D₄⋊₅C₂ = C₂⁴.₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:5C2	320,1265
Dic₅⋊D₄⋊₆C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:6C2	320,1267
Dic₅⋊D₄⋊₇C₂ = C₂₀⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:7C2	320,1268
Dic₅⋊D₄⋊₈C₂ = C₁₀.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:8C2	320,1269
Dic₅⋊D₄⋊₉C₂ = Dic₁₀⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:9C2	320,1270
Dic₅⋊D₄⋊₁₀C₂ = Dic₁₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:10C2	320,1271
Dic₅⋊D₄⋊₁₁C₂ = D₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:11C2	320,1276
Dic₅⋊D₄⋊₁₂C₂ = C₁₀.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:12C2	320,1277
Dic₅⋊D₄⋊₁₃C₂ = C₁₀.₃₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:13C2	320,1280
Dic₅⋊D₄⋊₁₄C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:14C2	320,1285
Dic₅⋊D₄⋊₁₅C₂ = C₁₀.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:15C2	320,1288
Dic₅⋊D₄⋊₁₆C₂ = C₁₀.₁₁₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:16C2	320,1290
Dic₅⋊D₄⋊₁₇C₂ = C₁₀.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:17C2	320,1291
Dic₅⋊D₄⋊₁₈C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:18C2	320,1292
Dic₅⋊D₄⋊₁₉C₂ = C₁₀.₇₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:19C2	320,1293
Dic₅⋊D₄⋊₂₀C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:20C2	320,1326
Dic₅⋊D₄⋊₂₁C₂ = C₁₀.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:21C2	320,1327
Dic₅⋊D₄⋊₂₂C₂ = C₁₀.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:22C2	320,1333
Dic₅⋊D₄⋊₂₃C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:23C2	320,1335
Dic₅⋊D₄⋊₂₄C₂ = C₁₀.₆₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:24C2	320,1339
Dic₅⋊D₄⋊₂₅C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:25C2	320,1212
Dic₅⋊D₄⋊₂₆C₂ = Dic₁₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:26C2	320,1224
Dic₅⋊D₄⋊₂₇C₂ = C₄²⋊₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:27C2	320,1232
Dic₅⋊D₄⋊₂₈C₂ = C₄².₁₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:28C2	320,1237
Dic₅⋊D₄⋊₂₉C₂ = C₁₀.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:29C2	320,1273
Dic₅⋊D₄⋊₃₀C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:30C2	320,1282
Dic₅⋊D₄⋊₃₁C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:31C2	320,1287
Dic₅⋊D₄⋊₃₂C₂ = C₁₀.₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:32C2	320,1289
Dic₅⋊D₄⋊₃₃C₂ = C₄².₁₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:33C2	320,1342
Dic₅⋊D₄⋊₃₄C₂ = C₄²⋊₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:34C2	320,1350
Dic₅⋊D₄⋊₃₅C₂ = C₄².₁₄₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:35C2	320,1356
Dic₅⋊D₄⋊₃₆C₂ = C₄²⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:36C2	320,1387
Dic₅⋊D₄⋊₃₇C₂ = Dic₁₀⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:37C2	320,1390
Dic₅⋊D₄⋊₃₈C₂ = C₄².₁₆₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:38C2	320,1391
Dic₅⋊D₄⋊₃₉C₂ = C₄²⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:39C2	320,1392
Dic₅⋊D₄⋊₄₀C₂ = D₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:40C2	320,1473
Dic₅⋊D₄⋊₄₁C₂ = C₂⁴⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:41C2	320,1476
Dic₅⋊D₄⋊₄₂C₂ = C₂⁴.₄₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:42C2	320,1478
Dic₅⋊D₄⋊₄₃C₂ = C₁₀.₁₀₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:43C2	320,1496
Dic₅⋊D₄⋊₄₄C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	80	Dic5:D4:44C2	320,1501
Dic₅⋊D₄⋊₄₅C₂ = C₁₀.₁₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4:45C2	320,1505
Dic₅⋊D₄⋊₄₆C₂ = C₄²⋊₁₂D₁₀	φ: trivial image	80	Dic5:D4:46C2	320,1219
Dic₅⋊D₄⋊₄₇C₂ = (C₂×C₂₀)⋊₁₇D₄	φ: trivial image	160	Dic5:D4:47C2	320,1504

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

extension	φ:Q→Out N	d	Label	ID
Dic₅⋊D₄.₁C₂ = C₄⋊C₄.₁₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4.1C2	320,1321
Dic₅⋊D₄.₂C₂ = C₁₀.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4.2C2	320,1334
Dic₅⋊D₄.₃C₂ = C₁₀.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4.3C2	320,1337
Dic₅⋊D₄.₄C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4.4C2	320,1236
Dic₅⋊D₄.₅C₂ = C₄².₁₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊D₄	160	Dic5:D4.5C2	320,1341
Dic₅⋊D₄.₆C₂ = C₄².₁₀₂D₁₀	φ: trivial image	160	Dic5:D4.6C2	320,1210

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

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