Extensions 1→N→G→Q→1 with N=C₂³.D₁₀ and Q=C₂

Direct product G=N×Q with N=C₂³.D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.D₁₀		160		C2xC2^3.D10	320,1154

Semidirect products G=N:Q with N=C₂³.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.D₁₀⋊₁C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:1C2	320,1166
C₂³.D₁₀⋊₂C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:2C2	320,1167
C₂³.D₁₀⋊₃C₂ = C₄².₉₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:3C2	320,1201
C₂³.D₁₀⋊₄C₂ = C₄².₉₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:4C2	320,1205
C₂³.D₁₀⋊₅C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:5C2	320,1212
C₂³.D₁₀⋊₆C₂ = C₄².₁₀₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:6C2	320,1213
C₂³.D₁₀⋊₇C₂ = C₄².₁₀₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:7C2	320,1214
C₂³.D₁₀⋊₈C₂ = C₄².₁₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:8C2	320,1230
C₂³.D₁₀⋊₉C₂ = C₄².₁₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:9C2	320,1233
C₂³.D₁₀⋊₁₀C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:10C2	320,1236
C₂³.D₁₀⋊₁₁C₂ = C₂⁴.₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:11C2	320,1259
C₂³.D₁₀⋊₁₂C₂ = C₂⁴.₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:12C2	320,1265
C₂³.D₁₀⋊₁₃C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:13C2	320,1267
C₂³.D₁₀⋊₁₄C₂ = C₄⋊C₄.₁₇₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:14C2	320,1272
C₂³.D₁₀⋊₁₅C₂ = C₁₀.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:15C2	320,1273
C₂³.D₁₀⋊₁₆C₂ = C₁₀.₃₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:16C2	320,1274
C₂³.D₁₀⋊₁₇C₂ = C₁₀.₃₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:17C2	320,1275
C₂³.D₁₀⋊₁₈C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:18C2	320,1285
C₂³.D₁₀⋊₁₉C₂ = C₁₀.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:19C2	320,1286
C₂³.D₁₀⋊₂₀C₂ = C₁₀.₁₁₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:20C2	320,1290
C₂³.D₁₀⋊₂₁C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:21C2	320,1292
C₂³.D₁₀⋊₂₂C₂ = C₁₀.₂₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:22C2	320,1310
C₂³.D₁₀⋊₂₃C₂ = C₁₀.₂₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:23C2	320,1311
C₂³.D₁₀⋊₂₄C₂ = C₁₀.₂₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:24C2	320,1312
C₂³.D₁₀⋊₂₅C₂ = C₁₀.₂₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:25C2	320,1313
C₂³.D₁₀⋊₂₆C₂ = C₁₀.₅₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:26C2	320,1318
C₂³.D₁₀⋊₂₇C₂ = C₄⋊C₄.₁₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:27C2	320,1321
C₂³.D₁₀⋊₂₈C₂ = C₁₀.₈₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:28C2	320,1322
C₂³.D₁₀⋊₂₉C₂ = C₁₀.₈₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:29C2	320,1323
C₂³.D₁₀⋊₃₀C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:30C2	320,1329
C₂³.D₁₀⋊₃₁C₂ = C₁₀.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:31C2	320,1331
C₂³.D₁₀⋊₃₂C₂ = C₁₀.₆₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:32C2	320,1332
C₂³.D₁₀⋊₃₃C₂ = C₁₀.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:33C2	320,1333
C₂³.D₁₀⋊₃₄C₂ = C₁₀.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:34C2	320,1334
C₂³.D₁₀⋊₃₅C₂ = C₁₀.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:35C2	320,1337
C₂³.D₁₀⋊₃₆C₂ = C₄².₁₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:36C2	320,1341
C₂³.D₁₀⋊₃₇C₂ = C₄².₁₃₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:37C2	320,1343
C₂³.D₁₀⋊₃₈C₂ = C₄².₁₄₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:38C2	320,1344
C₂³.D₁₀⋊₃₉C₂ = C₄²⋊₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:39C2	320,1350
C₂³.D₁₀⋊₄₀C₂ = C₄²⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:40C2	320,1351
C₂³.D₁₀⋊₄₁C₂ = C₄².₂₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:41C2	320,1352
C₂³.D₁₀⋊₄₂C₂ = C₄².₁₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:42C2	320,1354
C₂³.D₁₀⋊₄₃C₂ = C₄².₁₆₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:43C2	320,1374
C₂³.D₁₀⋊₄₄C₂ = D₅×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:44C2	320,1375
C₂³.D₁₀⋊₄₅C₂ = C₄²⋊₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	80	C2^3.D10:45C2	320,1377
C₂³.D₁₀⋊₄₆C₂ = C₄².₁₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:46C2	320,1380
C₂³.D₁₀⋊₄₇C₂ = C₄².₁₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10:47C2	320,1384
C₂³.D₁₀⋊₄₈C₂ = C₄².₉₃D₁₀	φ: trivial image	160	C2^3.D10:48C2	320,1200
C₂³.D₁₀⋊₄₉C₂ = C₄².₁₀₂D₁₀	φ: trivial image	160	C2^3.D10:49C2	320,1210
C₂³.D₁₀⋊₅₀C₂ = C₄².₂₂₉D₁₀	φ: trivial image	160	C2^3.D10:50C2	320,1229

Non-split extensions G=N.Q with N=C₂³.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.D₁₀.₁C₂ = C₄².₈₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10.1C2	320,1190
C₂³.D₁₀.₂C₂ = C₁₀.₁₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10.2C2	320,1297
C₂³.D₁₀.₃C₂ = C₄².₁₅₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₁₀	160	C2^3.D10.3C2	320,1373

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Extensions 1→N→G→Q→1 with N=C23.D10 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.D₁₀ and Q=C₂