Extensions 1→N→G→Q→1 with N=D₁₀⋊Q₈ and Q=C₂

Direct product G=N×Q with N=D₁₀⋊Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀⋊Q₈		160		C2xD10:Q8	320,1180

Semidirect products G=N:Q with N=D₁₀⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₀⋊Q₈⋊₁C₂ = C₁₀.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:1C2	320,1179
D₁₀⋊Q₈⋊₂C₂ = C₁₀.₁₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:2C2	320,1183
D₁₀⋊Q₈⋊₃C₂ = C₁₀.₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:3C2	320,1187
D₁₀⋊Q₈⋊₄C₂ = C₄²⋊₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:4C2	320,1199
D₁₀⋊Q₈⋊₅C₂ = C₄².₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:5C2	320,1203
D₁₀⋊Q₈⋊₆C₂ = C₄².₉₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:6C2	320,1206
D₁₀⋊Q₈⋊₇C₂ = Dic₁₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:7C2	320,1224
D₁₀⋊Q₈⋊₈C₂ = C₄²⋊₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:8C2	320,1228
D₁₀⋊Q₈⋊₉C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:9C2	320,1236
D₁₀⋊Q₈⋊₁₀C₂ = C₄².₁₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:10C2	320,1240
D₁₀⋊Q₈⋊₁₁C₂ = D₂₀⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:11C2	320,1251
D₁₀⋊Q₈⋊₁₂C₂ = C₄².₁₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:12C2	320,1254
D₁₀⋊Q₈⋊₁₃C₂ = C₁₀.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:13C2	320,1269
D₁₀⋊Q₈⋊₁₄C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:14C2	320,1282
D₁₀⋊Q₈⋊₁₅C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:15C2	320,1285
D₁₀⋊Q₈⋊₁₆C₂ = C₁₀.₇₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:16C2	320,1293
D₁₀⋊Q₈⋊₁₇C₂ = D₅×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:17C2	320,1298
D₁₀⋊Q₈⋊₁₈C₂ = C₁₀.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:18C2	320,1301
D₁₀⋊Q₈⋊₁₉C₂ = Dic₁₀⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:19C2	320,1304
D₁₀⋊Q₈⋊₂₀C₂ = Dic₁₀⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:20C2	320,1305
D₁₀⋊Q₈⋊₂₁C₂ = C₁₀.₅₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:21C2	320,1306
D₁₀⋊Q₈⋊₂₂C₂ = C₁₀.₅₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:22C2	320,1308
D₁₀⋊Q₈⋊₂₃C₂ = C₁₀.₂₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:23C2	320,1312
D₁₀⋊Q₈⋊₂₄C₂ = C₁₀.₅₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:24C2	320,1318
D₁₀⋊Q₈⋊₂₅C₂ = C₁₀.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:25C2	320,1319
D₁₀⋊Q₈⋊₂₆C₂ = C₁₀.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:26C2	320,1320
D₁₀⋊Q₈⋊₂₇C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:27C2	320,1326
D₁₀⋊Q₈⋊₂₈C₂ = C₁₀.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:28C2	320,1327
D₁₀⋊Q₈⋊₂₉C₂ = C₄⋊C₄⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:29C2	320,1328
D₁₀⋊Q₈⋊₃₀C₂ = C₁₀.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:30C2	320,1331
D₁₀⋊Q₈⋊₃₁C₂ = C₁₀.₆₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:31C2	320,1332
D₁₀⋊Q₈⋊₃₂C₂ = C₁₀.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:32C2	320,1334
D₁₀⋊Q₈⋊₃₃C₂ = C₁₀.₆₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:33C2	320,1339
D₁₀⋊Q₈⋊₃₄C₂ = D₂₀⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:34C2	320,1362
D₁₀⋊Q₈⋊₃₅C₂ = C₄².₁₅₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:35C2	320,1364
D₁₀⋊Q₈⋊₃₆C₂ = C₄².₁₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:36C2	320,1365
D₁₀⋊Q₈⋊₃₇C₂ = C₄².₁₅₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:37C2	320,1371
D₁₀⋊Q₈⋊₃₈C₂ = C₄².₁₅₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:38C2	320,1372
D₁₀⋊Q₈⋊₃₉C₂ = C₄².₁₆₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:39C2	320,1374
D₁₀⋊Q₈⋊₄₀C₂ = C₄²⋊₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:40C2	320,1376
D₁₀⋊Q₈⋊₄₁C₂ = C₄²⋊₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	80	D10:Q8:41C2	320,1377
D₁₀⋊Q₈⋊₄₂C₂ = C₄².₁₈₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:42C2	320,1378
D₁₀⋊Q₈⋊₄₃C₂ = C₄².₁₆₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:43C2	320,1379
D₁₀⋊Q₈⋊₄₄C₂ = C₄².₁₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:44C2	320,1380
D₁₀⋊Q₈⋊₄₅C₂ = C₄².₁₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:45C2	320,1382
D₁₀⋊Q₈⋊₄₆C₂ = C₄².₁₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:46C2	320,1384
D₁₀⋊Q₈⋊₄₇C₂ = C₄².₁₇₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:47C2	320,1396
D₁₀⋊Q₈⋊₄₈C₂ = D₂₀⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:48C2	320,1399
D₁₀⋊Q₈⋊₄₉C₂ = C₄².₁₈₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8:49C2	320,1407
D₁₀⋊Q₈⋊₅₀C₂ = C₄².₉₃D₁₀	φ: trivial image	160	D10:Q8:50C2	320,1200
D₁₀⋊Q₈⋊₅₁C₂ = C₄²⋊₁₂D₁₀	φ: trivial image	80	D10:Q8:51C2	320,1219

Non-split extensions G=N.Q with N=D₁₀⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₀⋊Q₈.₁C₂ = C₄².₂₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8.1C2	320,1360
D₁₀⋊Q₈.₂C₂ = C₄².₁₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8.2C2	320,1361
D₁₀⋊Q₈.₃C₂ = C₄².₁₅₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8.3C2	320,1368
D₁₀⋊Q₈.₄C₂ = C₄².₁₇₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊Q₈	160	D10:Q8.4C2	320,1401
D₁₀⋊Q₈.₅C₂ = C₄².₂₃₂D₁₀	φ: trivial image	160	D10:Q8.5C2	320,1250

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Extensions 1→N→G→Q→1 with N=D10⋊Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=D₁₀⋊Q₈ and Q=C₂