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

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

		d	ρ	Label	ID
C₂³×D₂₀		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 = C₂×D₅×D₈	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80		D20:1C2^3	320,1426
D₂₀⋊₂C₂³ = C₂×D₄₀⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80		D20:2C2^3	320,1431
D₂₀⋊₃C₂³ = D₅×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	40	8+	D20:3C2^3	320,1444
D₂₀⋊₄C₂³ = C₂²×D₄₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20:4C2^3	320,1412
D₂₀⋊₅C₂³ = C₂×C₈⋊D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:5C2^3	320,1418
D₂₀⋊₆C₂³ = C₂²×D₄⋊D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20:6C2^3	320,1464
D₂₀⋊₇C₂³ = C₂×D₄.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:7C2^3	320,1465
D₂₀⋊₈C₂³ = C₂²×D₄×D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:8C2^3	320,1612
D₂₀⋊₉C₂³ = C₂×D₄⋊₆D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:9C2^3	320,1614
D₂₀⋊₁₀C₂³ = C₂²×Q₈⋊₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20:10C2^3	320,1616
D₂₀⋊₁₁C₂³ = C₂×D₅×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:11C2^3	320,1618
D₂₀⋊₁₂C₂³ = C₂×D₄⋊₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20:12C2^3	320,1619
D₂₀⋊₁₃C₂³ = D₅×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	40	8+	D20:13C2^3	320,1622
D₂₀⋊₁₄C₂³ = C₂²×C₄○D₂₀	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 = C₂×D₈⋊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 = C₂×D₅×SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	80		D20.3C2^3	320,1430
D₂₀.₄C₂³ = C₂×SD₁₆⋊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 = C₂×Q₁₆⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out D₂₀	160		D20.6C2^3	320,1436
D₂₀.₇C₂³ = C₂×Q₈.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 = D₅×C₄○D₈	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 = D₅×C₈.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 = C₂²×C₄₀⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.20C2^3	320,1411
D₂₀.₂₁C₂³ = C₂×D₄₀⋊₇C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.21C2^3	320,1413
D₂₀.₂₂C₂³ = C₂×C₈.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 = C₂²×Q₈⋊D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.27C2^3	320,1479
D₂₀.₂₈C₂³ = C₂×C₂₀.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	160		D20.28C2^3	320,1480
D₂₀.₂₉C₂³ = C₂×D₄⋊D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₂₀	80		D20.29C2^3	320,1492
D₂₀.₃₀C₂³ = C₂×D₄.₈D₁₀	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 = C₂×Q₈.₁₀D₁₀	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 = D₅×2_-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 = C₂×D₄.₁₀D₁₀	φ: trivial image	160		D20.40C2^3	320,1620
D₂₀.₄₁C₂³ = C₁₀.C₂⁵	φ: trivial image	80	4	D20.41C2^3	320,1621

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

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