Extensions 1→N→G→Q→1 with N=C₂².D₂₀ and Q=C₂

Direct product G=N×Q with N=C₂².D₂₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₂².D₂₀		160		C2xC2^2.D20	320,1164

Semidirect products G=N:Q with N=C₂².D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².D₂₀⋊₁C₂ = C₂³.₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80	8-	C2^2.D20:1C2	320,369
C₂².D₂₀⋊₂C₂ = C₂³⋊₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:2C2	320,1165
C₂².D₂₀⋊₃C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:3C2	320,1167
C₂².D₂₀⋊₄C₂ = C₄².₉₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:4C2	320,1198
C₂².D₂₀⋊₅C₂ = D₄⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:5C2	320,1226
C₂².D₂₀⋊₆C₂ = D₄⋊₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:6C2	320,1227
C₂².D₂₀⋊₇C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:7C2	320,1236
C₂².D₂₀⋊₈C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:8C2	320,1258
C₂².D₂₀⋊₉C₂ = C₂⁴⋊₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:9C2	320,1261
C₂².D₂₀⋊₁₀C₂ = C₂⁴.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:10C2	320,1263
C₂².D₂₀⋊₁₁C₂ = C₁₀.₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:11C2	320,1289
C₂².D₂₀⋊₁₂C₂ = C₁₀.₁₁₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:12C2	320,1290
C₂².D₂₀⋊₁₃C₂ = C₁₀.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:13C2	320,1291
C₂².D₂₀⋊₁₄C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:14C2	320,1292
C₂².D₂₀⋊₁₅C₂ = C₂²⋊Q₈⋊₂₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:15C2	320,1296
C₂².D₂₀⋊₁₆C₂ = C₁₀.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:16C2	320,1309
C₂².D₂₀⋊₁₇C₂ = C₁₀.₅₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:17C2	320,1317
C₂².D₂₀⋊₁₈C₂ = C₁₀.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:18C2	320,1320
C₂².D₂₀⋊₁₉C₂ = D₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:19C2	320,1324
C₂².D₂₀⋊₂₀C₂ = C₁₀.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:20C2	320,1327
C₂².D₂₀⋊₂₁C₂ = C₁₀.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:21C2	320,1330
C₂².D₂₀⋊₂₂C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:22C2	320,1335
C₂².D₂₀⋊₂₃C₂ = C₁₀.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:23C2	320,1337
C₂².D₂₀⋊₂₄C₂ = C₁₀.₆₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:24C2	320,1339
C₂².D₂₀⋊₂₅C₂ = C₄²⋊₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80		C2^2.D20:25C2	320,1350
C₂².D₂₀⋊₂₆C₂ = C₄².₁₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:26C2	320,1353
C₂².D₂₀⋊₂₇C₂ = C₄².₁₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:27C2	320,1354
C₂².D₂₀⋊₂₈C₂ = C₄².₁₄₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:28C2	320,1356
C₂².D₂₀⋊₂₉C₂ = C₄².₁₆₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:29C2	320,1379
C₂².D₂₀⋊₃₀C₂ = C₄².₁₆₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:30C2	320,1381
C₂².D₂₀⋊₃₁C₂ = C₄².₁₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20:31C2	320,1382
C₂².D₂₀⋊₃₂C₂ = C₄²⋊₈D₁₀	φ: trivial image	80		C2^2.D20:32C2	320,1196
C₂².D₂₀⋊₃₃C₂ = C₄².₁₀₂D₁₀	φ: trivial image	160		C2^2.D20:33C2	320,1210

Non-split extensions G=N.Q with N=C₂².D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².D₂₀.₁C₂ = C₂²⋊C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	80	8-	C2^2.D20.1C2	320,203
C₂².D₂₀.₂C₂ = C₄².₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20.2C2	320,1203
C₂².D₂₀.₃C₂ = C₁₀.₇₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20.3C2	320,1314
C₂².D₂₀.₄C₂ = C₄².₁₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂².D₂₀	160		C2^2.D20.4C2	320,1384

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Extensions 1→N→G→Q→1 with N=C22.D20 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂².D₂₀ and Q=C₂