Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=C₂²

Direct product G=NxQ with N=Dic₂₀ and Q=C₂²

		d	ρ	Label	ID
C₂²xDic₂₀		320		C2^2xDic20	320,1414

Semidirect products G=N:Q with N=Dic₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀:₁C₂² = SD₁₆:D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	8-	Dic20:1C2^2	320,1445
Dic₂₀:₂C₂² = D₈:₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	8-	Dic20:2C2^2	320,1447
Dic₂₀:₃C₂² = D₅xC₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	8-	Dic20:3C2^2	320,1448
Dic₂₀:₄C₂² = D₁₆:D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	4	Dic20:4C2^2	320,538
Dic₂₀:₅C₂² = D₅xSD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	4	Dic20:5C2^2	320,540
Dic₂₀:₆C₂² = C₂xC₁₆:D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:6C2^2	320,530
Dic₂₀:₇C₂² = D₈₀:C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4+	Dic20:7C2^2	320,535
Dic₂₀:₈C₂² = C₂xC₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:8C2^2	320,1419
Dic₂₀:₉C₂² = C₄₀.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:9C2^2	320,1420
Dic₂₀:₁₀C₂² = D₄.₁₁D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:10C2^2	320,1423
Dic₂₀:₁₁C₂² = D₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:11C2^2	320,774
Dic₂₀:₁₂C₂² = C₂xD₈.D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:12C2^2	320,775
Dic₂₀:₁₃C₂² = C₂xD₈:₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:13C2^2	320,1428
Dic₂₀:₁₄C₂² = D₈:₁₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:14C2^2	320,1429
Dic₂₀:₁₅C₂² = C₂xD₅xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:15C2^2	320,1435
Dic₂₀:₁₆C₂² = D₅xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:16C2^2	320,1439
Dic₂₀:₁₇C₂² = C₂xSD₁₆:D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:17C2^2	320,1432
Dic₂₀:₁₈C₂² = D₂₀.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:18C2^2	320,1434
Dic₂₀:₁₉C₂² = Q₁₆:D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:19C2^2	320,1440
Dic₂₀:₂₀C₂² = C₂xD₄₀:₇C₂	φ: trivial image	160		Dic20:20C2^2	320,1413
Dic₂₀:₂₁C₂² = D₄.₁₂D₂₀	φ: trivial image	80	4+	Dic20:21C2^2	320,1424

Non-split extensions G=N.Q with N=Dic₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀.₁C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	8-	Dic20.1C2^2	320,1451
Dic₂₀.₂C₂² = D₁₆:₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4-	Dic20.2C2^2	320,539
Dic₂₀.₃C₂² = SD₃₂:D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4-	Dic20.3C2^2	320,542
Dic₂₀.₄C₂² = SD₃₂:₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4	Dic20.4C2^2	320,543
Dic₂₀.₅C₂² = D₅xQ₃₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4-	Dic20.5C2^2	320,544
Dic₂₀.₆C₂² = Q₃₂:D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4	Dic20.6C2^2	320,545
Dic₂₀.₇C₂² = D₈₀:₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	2	Dic20.7C2^2	320,531
Dic₂₀.₈C₂² = C₂xDic₄₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20.8C2^2	320,532
Dic₂₀.₉C₂² = C₁₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.9C2^2	320,536
Dic₂₀.₁₀C₂² = D₄.₁₃D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.10C2^2	320,1425
Dic₂₀.₁₁C₂² = Q₁₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4	Dic20.11C2^2	320,806
Dic₂₀.₁₂C₂² = C₂xC₅:Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20.12C2^2	320,807
Dic₂₀.₁₃C₂² = C₄₀.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4	Dic20.13C2^2	320,821
Dic₂₀.₁₄C₂² = C₄₀.₃₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.14C2^2	320,822
Dic₂₀.₁₅C₂² = D₂₀.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4	Dic20.15C2^2	320,1438
Dic₂₀.₁₆C₂² = D₂₀.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.16C2^2	320,1443

Extensions 1→N→G→Q→1 with N=Dic20 and Q=C22

Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=C₂²