Extensions 1→N→G→Q→1 with N=C₂³.₁₈D₁₀ and Q=C₂

Direct product G=N×Q with N=C₂³.₁₈D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₁₈D₁₀		160		C2xC2^3.18D10	320,1468

Semidirect products G=N:Q with N=C₂³.₁₈D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₁₈D₁₀⋊₁C₂ = C₂³.₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80	8-	C2^3.18D10:1C2	320,369
C₂³.₁₈D₁₀⋊₂C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:2C2	320,1258
C₂³.₁₈D₁₀⋊₃C₂ = C₂⁴.₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:3C2	320,1259
C₂³.₁₈D₁₀⋊₄C₂ = C₂⁴⋊₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:4C2	320,1261
C₂³.₁₈D₁₀⋊₅C₂ = C₂⁴.₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:5C2	320,1265
C₂³.₁₈D₁₀⋊₆C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:6C2	320,1267
C₂³.₁₈D₁₀⋊₇C₂ = C₄⋊C₄.₁₇₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:7C2	320,1272
C₂³.₁₈D₁₀⋊₈C₂ = C₁₀.₃₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:8C2	320,1275
C₂³.₁₈D₁₀⋊₉C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:9C2	320,1282
C₂³.₁₈D₁₀⋊₁₀C₂ = C₁₀.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:10C2	320,1283
C₂³.₁₈D₁₀⋊₁₁C₂ = C₁₀.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:11C2	320,1286
C₂³.₁₈D₁₀⋊₁₂C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:12C2	320,1287
C₂³.₁₈D₁₀⋊₁₃C₂ = C₁₀.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:13C2	320,1320
C₂³.₁₈D₁₀⋊₁₄C₂ = D₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:14C2	320,1324
C₂³.₁₈D₁₀⋊₁₅C₂ = C₁₀.₆₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:15C2	320,1332
C₂³.₁₈D₁₀⋊₁₆C₂ = C₁₀.₆₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:16C2	320,1336
C₂³.₁₈D₁₀⋊₁₇C₂ = 2₊¹⁺⁴.₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80	8-	C2^3.18D10:17C2	320,870
C₂³.₁₈D₁₀⋊₁₈C₂ = C₄²⋊₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:18C2	320,1228
C₂³.₁₈D₁₀⋊₁₉C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:19C2	320,1236
C₂³.₁₈D₁₀⋊₂₀C₂ = C₁₀.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:20C2	320,1273
C₂³.₁₈D₁₀⋊₂₁C₂ = C₁₀.₃₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:21C2	320,1274
C₂³.₁₈D₁₀⋊₂₂C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:22C2	320,1285
C₂³.₁₈D₁₀⋊₂₃C₂ = C₁₀.₇₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:23C2	320,1293
C₂³.₁₈D₁₀⋊₂₄C₂ = C₄².₁₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:24C2	320,1341
C₂³.₁₈D₁₀⋊₂₅C₂ = C₄²⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:25C2	320,1351
C₂³.₁₈D₁₀⋊₂₆C₂ = C₄².₁₆₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:26C2	320,1385
C₂³.₁₈D₁₀⋊₂₇C₂ = C₄².₁₆₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:27C2	320,1391
C₂³.₁₈D₁₀⋊₂₈C₂ = C₄²⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:28C2	320,1392
C₂³.₁₈D₁₀⋊₂₉C₂ = C₂⁴⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:29C2	320,1476
C₂³.₁₈D₁₀⋊₃₀C₂ = C₂⁴.₄₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80		C2^3.18D10:30C2	320,1478
C₂³.₁₈D₁₀⋊₃₁C₂ = C₁₀.₁₀₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:31C2	320,1496
C₂³.₁₈D₁₀⋊₃₂C₂ = C₁₀.₁₀₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10:32C2	320,1497
C₂³.₁₈D₁₀⋊₃₃C₂ = C₄².₁₀₂D₁₀	φ: trivial image	160		C2^3.18D10:33C2	320,1210
C₂³.₁₈D₁₀⋊₃₄C₂ = (C₂×C₂₀)⋊₁₅D₄	φ: trivial image	80		C2^3.18D10:34C2	320,1500

Non-split extensions G=N.Q with N=C₂³.₁₈D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₁₈D₁₀.₁C₂ = (C₂×C₂₀).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80	8-	C2^3.18D10.1C2	320,30
C₂³.₁₈D₁₀.₂C₂ = C₁₀.₈₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10.2C2	320,1322
C₂³.₁₈D₁₀.₃C₂ = C₁₀.₈₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10.3C2	320,1323
C₂³.₁₈D₁₀.₄C₂ = C₂³.₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	80	8-	C2^3.18D10.4C2	320,34
C₂³.₁₈D₁₀.₅C₂ = C₄².₁₀₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10.5C2	320,1213
C₂³.₁₈D₁₀.₆C₂ = C₄².₁₄₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₁₈D₁₀	160		C2^3.18D10.6C2	320,1344

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C23.18D10 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₁₈D₁₀ and Q=C₂