Extensions 1→N→G→Q→1 with N=D₁₀⋊D₄ and Q=C₂

Direct product G=N×Q with N=D₁₀⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀⋊D₄		160		C2xD10:D4	320,1161

Semidirect products G=N:Q with N=D₁₀⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₀⋊D₄⋊₁C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:1C2	320,1162
D₁₀⋊D₄⋊₂C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:2C2	320,1166
D₁₀⋊D₄⋊₃C₂ = C₄².₉₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:3C2	320,1202
D₁₀⋊D₄⋊₄C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:4C2	320,1204
D₁₀⋊D₄⋊₅C₂ = C₄².₁₀₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:5C2	320,1207
D₁₀⋊D₄⋊₆C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:6C2	320,1212
D₁₀⋊D₄⋊₇C₂ = D₂₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:7C2	320,1222
D₁₀⋊D₄⋊₈C₂ = Dic₁₀⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:8C2	320,1225
D₁₀⋊D₄⋊₉C₂ = C₄².₁₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:9C2	320,1230
D₁₀⋊D₄⋊₁₀C₂ = C₄²⋊₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:10C2	320,1232
D₁₀⋊D₄⋊₁₁C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:11C2	320,1234
D₁₀⋊D₄⋊₁₂C₂ = C₂⁴⋊₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:12C2	320,1261
D₁₀⋊D₄⋊₁₃C₂ = C₂⁴⋊₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:13C2	320,1262
D₁₀⋊D₄⋊₁₄C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:14C2	320,1264
D₁₀⋊D₄⋊₁₅C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:15C2	320,1267
D₁₀⋊D₄⋊₁₆C₂ = C₁₀.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:16C2	320,1269
D₁₀⋊D₄⋊₁₇C₂ = Dic₁₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:17C2	320,1271
D₁₀⋊D₄⋊₁₈C₂ = D₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:18C2	320,1276
D₁₀⋊D₄⋊₁₉C₂ = C₁₀.₃₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:19C2	320,1280
D₁₀⋊D₄⋊₂₀C₂ = D₂₀⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:20C2	320,1281
D₁₀⋊D₄⋊₂₁C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:21C2	320,1282
D₁₀⋊D₄⋊₂₂C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:22C2	320,1287
D₁₀⋊D₄⋊₂₃C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:23C2	320,1292
D₁₀⋊D₄⋊₂₄C₂ = C₁₀.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:24C2	320,1301
D₁₀⋊D₄⋊₂₅C₂ = D₂₀⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:25C2	320,1303
D₁₀⋊D₄⋊₂₆C₂ = Dic₁₀⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:26C2	320,1305
D₁₀⋊D₄⋊₂₇C₂ = C₁₀.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:27C2	320,1319
D₁₀⋊D₄⋊₂₈C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:28C2	320,1325
D₁₀⋊D₄⋊₂₉C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:29C2	320,1326
D₁₀⋊D₄⋊₃₀C₂ = C₁₀.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:30C2	320,1327
D₁₀⋊D₄⋊₃₁C₂ = C₄⋊C₄⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:31C2	320,1328
D₁₀⋊D₄⋊₃₂C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:32C2	320,1329
D₁₀⋊D₄⋊₃₃C₂ = C₁₀.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:33C2	320,1333
D₁₀⋊D₄⋊₃₄C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:34C2	320,1335
D₁₀⋊D₄⋊₃₅C₂ = C₁₀.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:35C2	320,1338
D₁₀⋊D₄⋊₃₆C₂ = C₁₀.₆₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:36C2	320,1339
D₁₀⋊D₄⋊₃₇C₂ = C₄².₂₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:37C2	320,1340
D₁₀⋊D₄⋊₃₈C₂ = C₄².₁₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:38C2	320,1342
D₁₀⋊D₄⋊₃₉C₂ = C₄²⋊₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:39C2	320,1346
D₁₀⋊D₄⋊₄₀C₂ = D₂₀⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:40C2	320,1348
D₁₀⋊D₄⋊₄₁C₂ = Dic₁₀⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:41C2	320,1349
D₁₀⋊D₄⋊₄₂C₂ = C₄²⋊₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:42C2	320,1350
D₁₀⋊D₄⋊₄₃C₂ = C₄².₁₄₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:43C2	320,1356
D₁₀⋊D₄⋊₄₄C₂ = C₄²⋊₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:44C2	320,1376
D₁₀⋊D₄⋊₄₅C₂ = C₄².₁₆₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4:45C2	320,1381
D₁₀⋊D₄⋊₄₆C₂ = C₄²⋊₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	80	D10:D4:46C2	320,1383
D₁₀⋊D₄⋊₄₇C₂ = C₄²⋊₁₂D₁₀	φ: trivial image	80	D10:D4:47C2	320,1219
D₁₀⋊D₄⋊₄₈C₂ = C₄².₂₂₈D₁₀	φ: trivial image	160	D10:D4:48C2	320,1220

Non-split extensions G=N.Q with N=D₁₀⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₀⋊D₄.₁C₂ = C₁₀.₂₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4.1C2	320,1310
D₁₀⋊D₄.₂C₂ = C₁₀.₂₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4.2C2	320,1312
D₁₀⋊D₄.₃C₂ = C₄².₁₈₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4.3C2	320,1378
D₁₀⋊D₄.₄C₂ = C₄².₁₆₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4.4C2	320,1379
D₁₀⋊D₄.₅C₂ = C₄².₁₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊D₄	160	D10:D4.5C2	320,1382
D₁₀⋊D₄.₆C₂ = C₄².₉₃D₁₀	φ: trivial image	160	D10:D4.6C2	320,1200

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Extensions 1→N→G→Q→1 with N=D10⋊D4 and Q=C2

Extensions 1→N→G→Q→1 with N=D₁₀⋊D₄ and Q=C₂