Extensions 1→N→G→Q→1 with N=C₂₀⋊D₄ and Q=C₂

Direct product G=N×Q with N=C₂₀⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀⋊D₄		160		C2xC20:D4	320,1475

Semidirect products G=N:Q with N=C₂₀⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊D₄⋊₁C₂ = D₂₀⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	40	8+	C20:D4:1C2	320,374
C₂₀⋊D₄⋊₂C₂ = D₂₀⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:2C2	320,413
C₂₀⋊D₄⋊₃C₂ = Dic₅⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:3C2	320,777
C₂₀⋊D₄⋊₄C₂ = C₄₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:4C2	320,778
C₂₀⋊D₄⋊₅C₂ = C₄₀⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:5C2	320,781
C₂₀⋊D₄⋊₆C₂ = C₄₀⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:6C2	320,803
C₂₀⋊D₄⋊₇C₂ = D₂₀⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	40	8+	C20:D4:7C2	320,825
C₂₀⋊D₄⋊₈C₂ = 2₊¹⁺⁴⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	40	8+	C20:D4:8C2	320,868
C₂₀⋊D₄⋊₉C₂ = Dic₁₀⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:9C2	320,1225
C₂₀⋊D₄⋊₁₀C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:10C2	320,1234
C₂₀⋊D₄⋊₁₁C₂ = C₂⁴⋊₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:11C2	320,1262
C₂₀⋊D₄⋊₁₂C₂ = C₂⁴.₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:12C2	320,1264
C₂₀⋊D₄⋊₁₃C₂ = C₂⁴.₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:13C2	320,1267
C₂₀⋊D₄⋊₁₄C₂ = C₂₀⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:14C2	320,1268
C₂₀⋊D₄⋊₁₅C₂ = Dic₁₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:15C2	320,1271
C₂₀⋊D₄⋊₁₆C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:16C2	320,1279
C₂₀⋊D₄⋊₁₇C₂ = D₂₀⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:17C2	320,1281
C₂₀⋊D₄⋊₁₈C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:18C2	320,1287
C₂₀⋊D₄⋊₁₉C₂ = C₁₀.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:19C2	320,1291
C₂₀⋊D₄⋊₂₀C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:20C2	320,1292
C₂₀⋊D₄⋊₂₁C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:21C2	320,1335
C₂₀⋊D₄⋊₂₂C₂ = C₁₀.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:22C2	320,1338
C₂₀⋊D₄⋊₂₃C₂ = C₄².₂₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:23C2	320,1340
C₂₀⋊D₄⋊₂₄C₂ = C₄²⋊₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:24C2	320,1346
C₂₀⋊D₄⋊₂₅C₂ = D₅×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:25C2	320,1386
C₂₀⋊D₄⋊₂₆C₂ = C₄²⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:26C2	320,1387
C₂₀⋊D₄⋊₂₇C₂ = Dic₁₀⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:27C2	320,1390
C₂₀⋊D₄⋊₂₈C₂ = D₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:28C2	320,1473
C₂₀⋊D₄⋊₂₉C₂ = C₂⁴.₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:29C2	320,1477
C₂₀⋊D₄⋊₃₀C₂ = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	80		C20:D4:30C2	320,1502
C₂₀⋊D₄⋊₃₁C₂ = C₁₀.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4:31C2	320,1506
C₂₀⋊D₄⋊₃₂C₂ = C₄².₂₂₈D₁₀	φ: trivial image	160		C20:D4:32C2	320,1220
C₂₀⋊D₄⋊₃₃C₂ = (C₂×C₂₀)⋊₁₇D₄	φ: trivial image	160		C20:D4:33C2	320,1504

Non-split extensions G=N.Q with N=C₂₀⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊D₄.₁C₂ = C₂³.₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	40	8+	C20:D4.1C2	320,32
C₂₀⋊D₄.₂C₂ = (C₂×D₄)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	40	8+	C20:D4.2C2	320,260
C₂₀⋊D₄.₃C₂ = Dic₅.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.3C2	320,263
C₂₀⋊D₄.₄C₂ = Dic₅.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.4C2	320,387
C₂₀⋊D₄.₅C₂ = Dic₁₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.5C2	320,389
C₂₀⋊D₄.₆C₂ = C₄⋊C₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.6C2	320,391
C₂₀⋊D₄.₇C₂ = Dic₅⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.7C2	320,790
C₂₀⋊D₄.₈C₂ = C₄₀⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.8C2	320,802
C₂₀⋊D₄.₉C₂ = C₄².₁₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.9C2	320,1231
C₂₀⋊D₄.₁₀C₂ = C₁₀.₆₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.10C2	320,1336
C₂₀⋊D₄.₁₁C₂ = C₄².₁₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₄	160		C20:D4.11C2	320,1353

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Extensions 1→N→G→Q→1 with N=C20⋊D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₀⋊D₄ and Q=C₂