Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₂³

Direct product G=NxQ with N=D₂₀ and Q=C₂³

		d	ρ	Label	ID
C₂³xD₂₀		160		C2^3xD20	320,1610

Semidirect products G=N:Q with N=D₂₀ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀:₁C₂³ = C₂xD₅xD₈	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80		D20:1C2^3	320,1426
D₂₀:₂C₂³ = C₂xD₄₀:C₂	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80		D20:2C2^3	320,1431
D₂₀:₃C₂³ = D₅xC₈:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	40	8+	D20:3C2^3	320,1444
D₂₀:₄C₂³ = C₂²xD₄₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20:4C2^3	320,1412
D₂₀:₅C₂³ = C₂xC₈:D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:5C2^3	320,1418
D₂₀:₆C₂³ = C₂²xD₄:D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20:6C2^3	320,1464
D₂₀:₇C₂³ = C₂xD₄.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:7C2^3	320,1465
D₂₀:₈C₂³ = C₂²xD₄xD₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:8C2^3	320,1612
D₂₀:₉C₂³ = C₂xD₄:₆D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:9C2^3	320,1614
D₂₀:₁₀C₂³ = C₂²xQ₈:₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20:10C2^3	320,1616
D₂₀:₁₁C₂³ = C₂xD₅xC₄oD₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:11C2^3	320,1618
D₂₀:₁₂C₂³ = C₂xD₄:₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:12C2^3	320,1619
D₂₀:₁₃C₂³ = D₅x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	40	8+	D20:13C2^3	320,1622
D₂₀:₁₄C₂³ = C₂²xC₄oD₂₀	φ: trivial image	160		D20:14C2^3	320,1611

Non-split extensions G=N.Q with N=D₂₀ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁C₂³ = C₂xD₈:D₅	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80		D20.1C2^3	320,1427
D₂₀.₂C₂³ = D₈:₁₃D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	4	D20.2C2^3	320,1429
D₂₀.₃C₂³ = C₂xD₅xSD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80		D20.3C2^3	320,1430
D₂₀.₄C₂³ = C₂xSD₁₆:₃D₅	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	160		D20.4C2^3	320,1433
D₂₀.₅C₂³ = D₂₀.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	4	D20.5C2^3	320,1434
D₂₀.₆C₂³ = C₂xQ₁₆:D₅	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	160		D20.6C2^3	320,1436
D₂₀.₇C₂³ = C₂xQ₈.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	160		D20.7C2^3	320,1437
D₂₀.₈C₂³ = D₂₀.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	160	4	D20.8C2^3	320,1438
D₂₀.₉C₂³ = D₅xC₄oD₈	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	4	D20.9C2^3	320,1439
D₂₀.₁₀C₂³ = Q₁₆:D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	4	D20.10C2^3	320,1440
D₂₀.₁₁C₂³ = D₈:₁₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	4+	D20.11C2^3	320,1441
D₂₀.₁₂C₂³ = D₈:₁₁D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	4	D20.12C2^3	320,1442
D₂₀.₁₃C₂³ = SD₁₆:D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	8-	D20.13C2^3	320,1445
D₂₀.₁₄C₂³ = D₈:₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	8+	D20.14C2^3	320,1446
D₂₀.₁₅C₂³ = D₈:₆D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	8-	D20.15C2^3	320,1447
D₂₀.₁₆C₂³ = D₅xC₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	8-	D20.16C2^3	320,1448
D₂₀.₁₇C₂³ = D₄₀:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	8+	D20.17C2^3	320,1449
D₂₀.₁₈C₂³ = C₄₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80	8+	D20.18C2^3	320,1450
D₂₀.₁₉C₂³ = D₂₀.₄₄D₄	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	160	8-	D20.19C2^3	320,1451
D₂₀.₂₀C₂³ = C₂²xC₄₀:C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.20C2^3	320,1411
D₂₀.₂₁C₂³ = C₂xD₄₀:₇C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.21C2^3	320,1413
D₂₀.₂₂C₂³ = C₂xC₈.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.22C2^3	320,1419
D₂₀.₂₃C₂³ = C₄₀.₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	4	D20.23C2^3	320,1420
D₂₀.₂₄C₂³ = D₄.₁₁D₂₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	4	D20.24C2^3	320,1423
D₂₀.₂₅C₂³ = D₄.₁₂D₂₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	4+	D20.25C2^3	320,1424
D₂₀.₂₆C₂³ = D₄.₁₃D₂₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160	4-	D20.26C2^3	320,1425
D₂₀.₂₇C₂³ = C₂²xQ₈:D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.27C2^3	320,1479
D₂₀.₂₈C₂³ = C₂xC₂₀.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.28C2^3	320,1480
D₂₀.₂₉C₂³ = C₂xD₄:D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20.29C2^3	320,1492
D₂₀.₃₀C₂³ = C₂xD₄.₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.30C2^3	320,1493
D₂₀.₃₁C₂³ = C₂₀.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	4	D20.31C2^3	320,1494
D₂₀.₃₂C₂³ = D₂₀.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	8+	D20.32C2^3	320,1507
D₂₀.₃₃C₂³ = D₂₀.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	8-	D20.33C2^3	320,1508
D₂₀.₃₄C₂³ = D₂₀.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	8+	D20.34C2^3	320,1509
D₂₀.₃₅C₂³ = D₂₀.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160	8-	D20.35C2^3	320,1510
D₂₀.₃₆C₂³ = C₂xQ₈.₁₀D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.36C2^3	320,1617
D₂₀.₃₇C₂³ = D₂₀.₃₇C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	8-	D20.37C2^3	320,1623
D₂₀.₃₈C₂³ = D₅x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	8-	D20.38C2^3	320,1624
D₂₀.₃₉C₂³ = D₂₀.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80	8+	D20.39C2^3	320,1625
D₂₀.₄₀C₂³ = C₂xD₄.₁₀D₁₀	φ: trivial image	160		D20.40C2^3	320,1620
D₂₀.₄₁C₂³ = C₁₀.C₂⁵	φ: trivial image	80	4	D20.41C2^3	320,1621

Extensions 1→N→G→Q→1 with N=D20 and Q=C23

Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₂³