Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₂³

Direct product G=N×Q with N=C₅×Q₈ and Q=C₂³

		d	ρ	Label	ID
Q₈×C₂²×C₁₀		320		Q8xC2^2xC10	320,1630

Semidirect products G=N:Q with N=C₅×Q₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁C₂³ = C₂×D₅×SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80		(C5xQ8):1C2^3	320,1430
(C₅×Q₈)⋊₂C₂³ = C₂×D₄₀⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80		(C5xQ8):2C2^3	320,1431
(C₅×Q₈)⋊₃C₂³ = D₅×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	40	8+	(C5xQ8):3C2^3	320,1444
(C₅×Q₈)⋊₄C₂³ = C₂²×Q₈⋊D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):4C2^3	320,1479
(C₅×Q₈)⋊₅C₂³ = C₂×D₄⋊D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):5C2^3	320,1492
(C₅×Q₈)⋊₆C₂³ = C₂²×Q₈×D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):6C2^3	320,1615
(C₅×Q₈)⋊₇C₂³ = C₂²×Q₈⋊₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):7C2^3	320,1616
(C₅×Q₈)⋊₈C₂³ = C₂×D₅×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):8C2^3	320,1618
(C₅×Q₈)⋊₉C₂³ = C₂×D₄⋊₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):9C2^3	320,1619
(C₅×Q₈)⋊₁₀C₂³ = D₅×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	40	8+	(C5xQ8):10C2^3	320,1622
(C₅×Q₈)⋊₁₁C₂³ = SD₁₆×C₂×C₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):11C2^3	320,1572
(C₅×Q₈)⋊₁₂C₂³ = C₁₀×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80		(C5xQ8):12C2^3	320,1575
(C₅×Q₈)⋊₁₃C₂³ = C₄○D₄×C₂×C₁₀	φ: trivial image	160		(C5xQ8):13C2^3	320,1631
(C₅×Q₈)⋊₁₄C₂³ = C₁₀×2₊¹⁺⁴	φ: trivial image	80		(C5xQ8):14C2^3	320,1632

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).₁C₂³ = C₂×SD₁₆⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).1C2^3	320,1432
(C₅×Q₈).₂C₂³ = C₂×SD₁₆⋊₃D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).2C2^3	320,1433
(C₅×Q₈).₃C₂³ = D₂₀.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).3C2^3	320,1434
(C₅×Q₈).₄C₂³ = C₂×D₅×Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).4C2^3	320,1435
(C₅×Q₈).₅C₂³ = C₂×Q₁₆⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).5C2^3	320,1436
(C₅×Q₈).₆C₂³ = C₂×Q₈.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).6C2^3	320,1437
(C₅×Q₈).₇C₂³ = D₂₀.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160	4	(C5xQ8).7C2^3	320,1438
(C₅×Q₈).₈C₂³ = D₅×C₄○D₈	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).8C2^3	320,1439
(C₅×Q₈).₉C₂³ = Q₁₆⋊D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).9C2^3	320,1440
(C₅×Q₈).₁₀C₂³ = D₈⋊₁₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	4+	(C5xQ8).10C2^3	320,1441
(C₅×Q₈).₁₁C₂³ = D₈⋊₁₁D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).11C2^3	320,1442
(C₅×Q₈).₁₂C₂³ = D₂₀.₄₇D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160	4-	(C5xQ8).12C2^3	320,1443
(C₅×Q₈).₁₃C₂³ = SD₁₆⋊D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	8-	(C5xQ8).13C2^3	320,1445
(C₅×Q₈).₁₄C₂³ = D₈⋊₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	8+	(C5xQ8).14C2^3	320,1446
(C₅×Q₈).₁₅C₂³ = D₈⋊₆D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	8-	(C5xQ8).15C2^3	320,1447
(C₅×Q₈).₁₆C₂³ = D₅×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	8-	(C5xQ8).16C2^3	320,1448
(C₅×Q₈).₁₇C₂³ = D₄₀⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	8+	(C5xQ8).17C2^3	320,1449
(C₅×Q₈).₁₈C₂³ = C₄₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	80	8+	(C5xQ8).18C2^3	320,1450
(C₅×Q₈).₁₉C₂³ = D₂₀.₄₄D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×Q₈	160	8-	(C5xQ8).19C2^3	320,1451
(C₅×Q₈).₂₀C₂³ = C₂×C₂₀.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).20C2^3	320,1480
(C₅×Q₈).₂₁C₂³ = C₂²×C₅⋊Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8).21C2^3	320,1481
(C₅×Q₈).₂₂C₂³ = C₂×D₄.₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).22C2^3	320,1493
(C₅×Q₈).₂₃C₂³ = C₂₀.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).23C2^3	320,1494
(C₅×Q₈).₂₄C₂³ = C₂×D₄.₉D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).24C2^3	320,1495
(C₅×Q₈).₂₅C₂³ = D₂₀.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	8+	(C5xQ8).25C2^3	320,1507
(C₅×Q₈).₂₆C₂³ = D₂₀.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	8-	(C5xQ8).26C2^3	320,1508
(C₅×Q₈).₂₇C₂³ = D₂₀.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	8+	(C5xQ8).27C2^3	320,1509
(C₅×Q₈).₂₈C₂³ = D₂₀.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160	8-	(C5xQ8).28C2^3	320,1510
(C₅×Q₈).₂₉C₂³ = C₂×Q₈.₁₀D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).29C2^3	320,1617
(C₅×Q₈).₃₀C₂³ = C₂×D₄.₁₀D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).30C2^3	320,1620
(C₅×Q₈).₃₁C₂³ = C₁₀.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).31C2^3	320,1621
(C₅×Q₈).₃₂C₂³ = D₂₀.₃₇C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	8-	(C5xQ8).32C2^3	320,1623
(C₅×Q₈).₃₃C₂³ = D₅×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	8-	(C5xQ8).33C2^3	320,1624
(C₅×Q₈).₃₄C₂³ = D₂₀.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	8+	(C5xQ8).34C2^3	320,1625
(C₅×Q₈).₃₅C₂³ = Q₁₆×C₂×C₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8).35C2^3	320,1573
(C₅×Q₈).₃₆C₂³ = C₁₀×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).36C2^3	320,1574
(C₅×Q₈).₃₇C₂³ = C₁₀×C₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).37C2^3	320,1576
(C₅×Q₈).₃₈C₂³ = C₅×D₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).38C2^3	320,1577
(C₅×Q₈).₃₉C₂³ = C₅×D₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).39C2^3	320,1578
(C₅×Q₈).₄₀C₂³ = C₅×D₄○SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).40C2^3	320,1579
(C₅×Q₈).₄₁C₂³ = C₅×Q₈○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅×Q₈	160	4	(C5xQ8).41C2^3	320,1580
(C₅×Q₈).₄₂C₂³ = C₁₀×2_-¹⁺⁴	φ: trivial image	160		(C5xQ8).42C2^3	320,1633
(C₅×Q₈).₄₃C₂³ = C₅×C₂.C₂⁵	φ: trivial image	80	4	(C5xQ8).43C2^3	320,1634

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Extensions 1→N→G→Q→1 with N=C5×Q8 and Q=C23

Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₂³