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		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 = D₄×D₂₀	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 = D₅×C₂²≀C₂	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⋊C₂≀C₄	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

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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