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

Direct product G=NxQ with N=C₂²:D₂₀ and Q=C₂

		d	ρ	Label	ID
C₂xC₂²:D₂₀		80		C2xC2^2:D20	320,1159

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:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	40	8+	C2^2:D20:1C2	320,368
C₂²:D₂₀:₂C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:2C2	320,1162
C₂²:D₂₀:₃C₂ = C₂³:₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:3C2	320,1165
C₂²:D₂₀:₄C₂ = C₄²:₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:4C2	320,1197
C₂²:D₂₀:₅C₂ = D₄xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:5C2	320,1221
C₂²:D₂₀:₆C₂ = D₄:₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:6C2	320,1226
C₂²:D₂₀:₇C₂ = C₄²:₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:7C2	320,1232
C₂²:D₂₀:₈C₂ = D₅xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	40		C2^2:D20:8C2	320,1260
C₂²:D₂₀:₉C₂ = C₂⁴:₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:9C2	320,1262
C₂²:D₂₀:₁₀C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:10C2	320,1264
C₂²:D₂₀:₁₁C₂ = C₁₀.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:11C2	320,1277
C₂²:D₂₀:₁₂C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:12C2	320,1279
C₂²:D₂₀:₁₃C₂ = D₂₀:₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:13C2	320,1281
C₂²:D₂₀:₁₄C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:14C2	320,1292
C₂²:D₂₀:₁₅C₂ = C₄:C₄:₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:15C2	320,1299
C₂²:D₂₀:₁₆C₂ = D₂₀:₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:16C2	320,1302
C₂²:D₂₀:₁₇C₂ = C₁₀.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:17C2	320,1316
C₂²:D₂₀:₁₈C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:18C2	320,1325
C₂²:D₂₀:₁₉C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:19C2	320,1326
C₂²:D₂₀:₂₀C₂ = C₄:C₄:₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:20C2	320,1328
C₂²:D₂₀:₂₁C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:21C2	320,1329
C₂²:D₂₀:₂₂C₂ = C₁₀.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:22C2	320,1338
C₂²:D₂₀:₂₃C₂ = C₄²:₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:23C2	320,1346
C₂²:D₂₀:₂₄C₂ = D₂₀:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:24C2	320,1348
C₂²:D₂₀:₂₅C₂ = C₄²:₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:25C2	320,1350
C₂²:D₂₀:₂₆C₂ = C₄²:₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:26C2	320,1355
C₂²:D₂₀:₂₇C₂ = C₄²:₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:27C2	320,1376
C₂²:D₂₀:₂₈C₂ = C₄²:₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20:28C2	320,1383
C₂²:D₂₀:₂₉C₂ = C₄²:₈D₁₀	φ: trivial image	80		C2^2:D20:29C2	320,1196
C₂²:D₂₀:₃₀C₂ = C₄²:₁₂D₁₀	φ: trivial image	80		C2^2:D20:30C2	320,1219

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 = C₅:C₂wrC₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	40	8+	C2^2:D20.1C2	320,202
C₂²:D₂₀.₂C₂ = C₄²:₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20.2C2	320,1199
C₂²:D₂₀.₃C₂ = C₁₀.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20.3C2	320,1309
C₂²:D₂₀.₄C₂ = C₄²:₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²:D₂₀	80		C2^2:D20.4C2	320,1377

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