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		80		C2xC2^3:D10	320,1471

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊D₁₀⋊₁C₂ = C₂³⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	40	8+	C2^3:D10:1C2	320,368
C₂³⋊D₁₀⋊₂C₂ = D₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	40		C2^3:D10:2C2	320,1260
C₂³⋊D₁₀⋊₃C₂ = C₂⁴⋊₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:3C2	320,1261
C₂³⋊D₁₀⋊₄C₂ = C₂⁴⋊₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:4C2	320,1262
C₂³⋊D₁₀⋊₅C₂ = C₂⁴.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:5C2	320,1263
C₂³⋊D₁₀⋊₆C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:6C2	320,1264
C₂³⋊D₁₀⋊₇C₂ = C₂⁴⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:7C2	320,1266
C₂³⋊D₁₀⋊₈C₂ = C₄⋊C₄⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:8C2	320,1278
C₂³⋊D₁₀⋊₉C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:9C2	320,1279
C₂³⋊D₁₀⋊₁₀C₂ = D₂₀⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:10C2	320,1281
C₂³⋊D₁₀⋊₁₁C₂ = D₂₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:11C2	320,1284
C₂³⋊D₁₀⋊₁₂C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:12C2	320,1285
C₂³⋊D₁₀⋊₁₃C₂ = C₁₀.₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:13C2	320,1289
C₂³⋊D₁₀⋊₁₄C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:14C2	320,1292
C₂³⋊D₁₀⋊₁₅C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:15C2	320,1325
C₂³⋊D₁₀⋊₁₆C₂ = C₄⋊C₄⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:16C2	320,1328
C₂³⋊D₁₀⋊₁₇C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:17C2	320,1329
C₂³⋊D₁₀⋊₁₈C₂ = C₁₀.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:18C2	320,1338
C₂³⋊D₁₀⋊₁₉C₂ = 2₊¹⁺⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	40	8+	C2^3:D10:19C2	320,871
C₂³⋊D₁₀⋊₂₀C₂ = D₂₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:20C2	320,1222
C₂³⋊D₁₀⋊₂₁C₂ = C₄²⋊₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:21C2	320,1232
C₂³⋊D₁₀⋊₂₂C₂ = C₁₀.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:22C2	320,1277
C₂³⋊D₁₀⋊₂₃C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:23C2	320,1282
C₂³⋊D₁₀⋊₂₄C₂ = C₄²⋊₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:24C2	320,1350
C₂³⋊D₁₀⋊₂₅C₂ = C₄²⋊₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:25C2	320,1355
C₂³⋊D₁₀⋊₂₆C₂ = C₄²⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:26C2	320,1387
C₂³⋊D₁₀⋊₂₇C₂ = D₂₀⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:27C2	320,1389
C₂³⋊D₁₀⋊₂₈C₂ = C₄²⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:28C2	320,1392
C₂³⋊D₁₀⋊₂₉C₂ = D₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:29C2	320,1473
C₂³⋊D₁₀⋊₃₀C₂ = C₂⁴⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:30C2	320,1476
C₂³⋊D₁₀⋊₃₁C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:31C2	320,1501
C₂³⋊D₁₀⋊₃₂C₂ = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10:32C2	320,1502
C₂³⋊D₁₀⋊₃₃C₂ = C₄²⋊₁₂D₁₀	φ: trivial image	80		C2^3:D10:33C2	320,1219
C₂³⋊D₁₀⋊₃₄C₂ = (C₂×C₂₀)⋊₁₅D₄	φ: trivial image	80		C2^3:D10:34C2	320,1500

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊D₁₀.₁C₂ = C₅⋊₃C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	40	8+	C2^3:D10.1C2	320,29
C₂³⋊D₁₀.₂C₂ = C₁₀.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10.2C2	320,1330
C₂³⋊D₁₀.₃C₂ = C₁₀.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10.3C2	320,1331
C₂³⋊D₁₀.₄C₂ = C₂³.₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	40	8+	C2^3:D10.4C2	320,33
C₂³⋊D₁₀.₅C₂ = C₄²⋊₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10.5C2	320,1228
C₂³⋊D₁₀.₆C₂ = C₄²⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₀	80		C2^3:D10.6C2	320,1351

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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