Extensions 1→N→G→Q→1 with N=C₅:₂C₈ and Q=C₂³

Direct product G=NxQ with N=C₅:₂C₈ and Q=C₂³

		d	ρ	Label	ID
C₂³xC₅:₂C₈		320		C2^3xC5:2C8	320,1452

Semidirect products G=N:Q with N=C₅:₂C₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:₂C₈:₁C₂³ = C₂xD₈:D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80		C5:2C8:1C2^3	320,1427
C₅:₂C₈:₂C₂³ = C₂xD₄₀:C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80		C5:2C8:2C2^3	320,1431
C₅:₂C₈:₃C₂³ = D₅xC₈:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	40	8+	C5:2C8:3C2^3	320,1444
C₅:₂C₈:₄C₂³ = C₂xD₄.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80		C5:2C8:4C2^3	320,1465
C₅:₂C₈:₅C₂³ = C₂xD₄:D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80		C5:2C8:5C2^3	320,1492
C₅:₂C₈:₆C₂³ = C₂xD₅xD₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80		C5:2C8:6C2^3	320,1426
C₅:₂C₈:₇C₂³ = C₂xD₅xSD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80		C5:2C8:7C2^3	320,1430
C₅:₂C₈:₈C₂³ = C₂²xD₄:D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8:8C2^3	320,1464
C₅:₂C₈:₉C₂³ = C₂²xD₄.D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8:9C2^3	320,1466
C₅:₂C₈:₁₀C₂³ = C₂²xQ₈:D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8:10C2^3	320,1479
C₅:₂C₈:₁₁C₂³ = C₂²xC₈:D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8:11C2^3	320,1409
C₅:₂C₈:₁₂C₂³ = C₂xD₅xM₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80		C5:2C8:12C2^3	320,1415
C₅:₂C₈:₁₃C₂³ = C₂²xC₄.Dic₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8:13C2^3	320,1453
C₅:₂C₈:₁₄C₂³ = D₅xC₂²xC₈	φ: trivial image	160		C5:2C8:14C2^3	320,1408

Non-split extensions G=N.Q with N=C₅:₂C₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:₂C₈.₁C₂³ = D₈:₁₃D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	4	C5:2C8.1C2^3	320,1429
C₅:₂C₈.₂C₂³ = C₂xSD₁₆:D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	160		C5:2C8.2C2^3	320,1432
C₅:₂C₈.₃C₂³ = D₂₀.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	4	C5:2C8.3C2^3	320,1434
C₅:₂C₈.₄C₂³ = C₂xQ₁₆:D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	160		C5:2C8.4C2^3	320,1436
C₅:₂C₈.₅C₂³ = D₂₀.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	160	4	C5:2C8.5C2^3	320,1438
C₅:₂C₈.₆C₂³ = Q₁₆:D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	4	C5:2C8.6C2^3	320,1440
C₅:₂C₈.₇C₂³ = D₈:₁₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	4+	C5:2C8.7C2^3	320,1441
C₅:₂C₈.₈C₂³ = D₈:₁₁D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	4	C5:2C8.8C2^3	320,1442
C₅:₂C₈.₉C₂³ = D₂₀.₄₇D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	160	4-	C5:2C8.9C2^3	320,1443
C₅:₂C₈.₁₀C₂³ = SD₁₆:D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	8-	C5:2C8.10C2^3	320,1445
C₅:₂C₈.₁₁C₂³ = D₅xC₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	8-	C5:2C8.11C2^3	320,1448
C₅:₂C₈.₁₂C₂³ = D₄₀:C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	8+	C5:2C8.12C2^3	320,1449
C₅:₂C₈.₁₃C₂³ = C₂xC₂₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	160		C5:2C8.13C2^3	320,1480
C₅:₂C₈.₁₄C₂³ = C₂₀.C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	4	C5:2C8.14C2^3	320,1494
C₅:₂C₈.₁₅C₂³ = C₂xD₄.₉D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	160		C5:2C8.15C2^3	320,1495
C₅:₂C₈.₁₆C₂³ = D₂₀.₃₂C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	8+	C5:2C8.16C2^3	320,1507
C₅:₂C₈.₁₇C₂³ = D₂₀.₃₃C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	8-	C5:2C8.17C2^3	320,1508
C₅:₂C₈.₁₈C₂³ = D₂₀.₃₄C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	80	8+	C5:2C8.18C2^3	320,1509
C₅:₂C₈.₁₉C₂³ = D₂₀.₃₅C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₅:₂C₈	160	8-	C5:2C8.19C2^3	320,1510
C₅:₂C₈.₂₀C₂³ = C₂xD₈:₃D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.20C2^3	320,1428
C₅:₂C₈.₂₁C₂³ = C₂xSD₁₆:₃D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.21C2^3	320,1433
C₅:₂C₈.₂₂C₂³ = C₂xD₅xQ₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.22C2^3	320,1435
C₅:₂C₈.₂₃C₂³ = C₂xQ₈.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.23C2^3	320,1437
C₅:₂C₈.₂₄C₂³ = D₅xC₄oD₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	4	C5:2C8.24C2^3	320,1439
C₅:₂C₈.₂₅C₂³ = D₈:₅D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	8+	C5:2C8.25C2^3	320,1446
C₅:₂C₈.₂₆C₂³ = D₈:₆D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	8-	C5:2C8.26C2^3	320,1447
C₅:₂C₈.₂₇C₂³ = C₄₀.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	8+	C5:2C8.27C2^3	320,1450
C₅:₂C₈.₂₈C₂³ = D₂₀.₄₄D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160	8-	C5:2C8.28C2^3	320,1451
C₅:₂C₈.₂₉C₂³ = C₂²xC₅:Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	320		C5:2C8.29C2^3	320,1481
C₅:₂C₈.₃₀C₂³ = C₂xD₄.₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.30C2^3	320,1493
C₅:₂C₈.₃₁C₂³ = C₂xD₂₀.₃C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.31C2^3	320,1410
C₅:₂C₈.₃₂C₂³ = C₄₀.₄₇C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	4	C5:2C8.32C2^3	320,1417
C₅:₂C₈.₃₃C₂³ = C₂₀.₇₂C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	4	C5:2C8.33C2^3	320,1422
C₅:₂C₈.₃₄C₂³ = C₂₀.₇₆C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	4	C5:2C8.34C2^3	320,1491
C₅:₂C₈.₃₅C₂³ = C₂xD₅:C₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.35C2^3	320,1051
C₅:₂C₈.₃₆C₂³ = C₂xC₈.F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.36C2^3	320,1052
C₅:₂C₈.₃₇C₂³ = D₅:M₅(2)	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	80	4	C5:2C8.37C2^3	320,1053
C₅:₂C₈.₃₈C₂³ = Dic₁₀.C₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160	8	C5:2C8.38C2^3	320,1063
C₅:₂C₈.₃₉C₂³ = C₂²xC₅:C₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	320		C5:2C8.39C2^3	320,1080
C₅:₂C₈.₄₀C₂³ = C₂xC₂₀.C₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160		C5:2C8.40C2^3	320,1081
C₅:₂C₈.₄₁C₂³ = C₅:C₁₆.C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₅:₂C₈	160	8	C5:2C8.41C2^3	320,1129
C₅:₂C₈.₄₂C₂³ = C₂xD₂₀.₂C₄	φ: trivial image	160		C5:2C8.42C2^3	320,1416
C₅:₂C₈.₄₃C₂³ = D₅xC₈oD₄	φ: trivial image	80	4	C5:2C8.43C2^3	320,1421
C₅:₂C₈.₄₄C₂³ = C₂xD₄.Dic₅	φ: trivial image	160		C5:2C8.44C2^3	320,1490

Extensions 1→N→G→Q→1 with N=C5:2C8 and Q=C23

Extensions 1→N→G→Q→1 with N=C₅:₂C₈ and Q=C₂³