Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₂³

Direct product G=N×Q with N=C₅×D₄ and Q=C₂³

		d	ρ	Label	ID
D₄×C₂²×C₁₀		160		D4xC2^2xC10	320,1629

Semidirect products G=N:Q with N=C₅×D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁C₂³ = C₂×D₅×D₈	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80		(C5xD4):1C2^3	320,1426
(C₅×D₄)⋊₂C₂³ = C₂×D₈⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80		(C5xD4):2C2^3	320,1427
(C₅×D₄)⋊₃C₂³ = D₅×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	40	8+	(C5xD4):3C2^3	320,1444
(C₅×D₄)⋊₄C₂³ = C₂²×D₄⋊D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4):4C2^3	320,1464
(C₅×D₄)⋊₅C₂³ = C₂×D₄⋊D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80		(C5xD4):5C2^3	320,1492
(C₅×D₄)⋊₆C₂³ = C₂²×D₄×D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80		(C5xD4):6C2^3	320,1612
(C₅×D₄)⋊₇C₂³ = C₂²×D₄⋊₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4):7C2^3	320,1613
(C₅×D₄)⋊₈C₂³ = C₂×D₄⋊₆D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80		(C5xD4):8C2^3	320,1614
(C₅×D₄)⋊₉C₂³ = C₂×D₅×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80		(C5xD4):9C2^3	320,1618
(C₅×D₄)⋊₁₀C₂³ = C₂×D₄⋊₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80		(C5xD4):10C2^3	320,1619
(C₅×D₄)⋊₁₁C₂³ = D₅×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	40	8+	(C5xD4):11C2^3	320,1622
(C₅×D₄)⋊₁₂C₂³ = D₈×C₂×C₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4):12C2^3	320,1571
(C₅×D₄)⋊₁₃C₂³ = C₁₀×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80		(C5xD4):13C2^3	320,1575
(C₅×D₄)⋊₁₄C₂³ = C₄○D₄×C₂×C₁₀	φ: trivial image	160		(C5xD4):14C2^3	320,1631
(C₅×D₄)⋊₁₅C₂³ = C₁₀×2₊¹⁺⁴	φ: trivial image	80		(C5xD4):15C2^3	320,1632

Non-split extensions G=N.Q with N=C₅×D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁C₂³ = C₂×D₈⋊₃D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	160		(C5xD4).1C2^3	320,1428
(C₅×D₄).₂C₂³ = D₈⋊₁₃D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	4	(C5xD4).2C2^3	320,1429
(C₅×D₄).₃C₂³ = C₂×D₅×SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80		(C5xD4).3C2^3	320,1430
(C₅×D₄).₄C₂³ = C₂×D₄₀⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80		(C5xD4).4C2^3	320,1431
(C₅×D₄).₅C₂³ = C₂×SD₁₆⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	160		(C5xD4).5C2^3	320,1432
(C₅×D₄).₆C₂³ = C₂×SD₁₆⋊₃D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	160		(C5xD4).6C2^3	320,1433
(C₅×D₄).₇C₂³ = D₂₀.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	4	(C5xD4).7C2^3	320,1434
(C₅×D₄).₈C₂³ = D₅×C₄○D₈	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	4	(C5xD4).8C2^3	320,1439
(C₅×D₄).₉C₂³ = Q₁₆⋊D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	4	(C5xD4).9C2^3	320,1440
(C₅×D₄).₁₀C₂³ = D₈⋊₁₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	4+	(C5xD4).10C2^3	320,1441
(C₅×D₄).₁₁C₂³ = D₈⋊₁₁D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	4	(C5xD4).11C2^3	320,1442
(C₅×D₄).₁₂C₂³ = D₂₀.₄₇D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	160	4-	(C5xD4).12C2^3	320,1443
(C₅×D₄).₁₃C₂³ = SD₁₆⋊D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	8-	(C5xD4).13C2^3	320,1445
(C₅×D₄).₁₄C₂³ = D₈⋊₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	8+	(C5xD4).14C2^3	320,1446
(C₅×D₄).₁₅C₂³ = D₈⋊₆D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	8-	(C5xD4).15C2^3	320,1447
(C₅×D₄).₁₆C₂³ = D₅×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	8-	(C5xD4).16C2^3	320,1448
(C₅×D₄).₁₇C₂³ = D₄₀⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	8+	(C5xD4).17C2^3	320,1449
(C₅×D₄).₁₈C₂³ = C₄₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	80	8+	(C5xD4).18C2^3	320,1450
(C₅×D₄).₁₉C₂³ = D₂₀.₄₄D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×D₄	160	8-	(C5xD4).19C2^3	320,1451
(C₅×D₄).₂₀C₂³ = C₂×D₄.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80		(C5xD4).20C2^3	320,1465
(C₅×D₄).₂₁C₂³ = C₂²×D₄.D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4).21C2^3	320,1466
(C₅×D₄).₂₂C₂³ = C₂×D₄.₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4).22C2^3	320,1493
(C₅×D₄).₂₃C₂³ = C₂₀.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	4	(C5xD4).23C2^3	320,1494
(C₅×D₄).₂₄C₂³ = C₂×D₄.₉D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4).24C2^3	320,1495
(C₅×D₄).₂₅C₂³ = D₂₀.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	8+	(C5xD4).25C2^3	320,1507
(C₅×D₄).₂₆C₂³ = D₂₀.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	8-	(C5xD4).26C2^3	320,1508
(C₅×D₄).₂₇C₂³ = D₂₀.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	8+	(C5xD4).27C2^3	320,1509
(C₅×D₄).₂₈C₂³ = D₂₀.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160	8-	(C5xD4).28C2^3	320,1510
(C₅×D₄).₂₉C₂³ = C₂×D₄.₁₀D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4).29C2^3	320,1620
(C₅×D₄).₃₀C₂³ = C₁₀.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	4	(C5xD4).30C2^3	320,1621
(C₅×D₄).₃₁C₂³ = D₂₀.₃₇C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	8-	(C5xD4).31C2^3	320,1623
(C₅×D₄).₃₂C₂³ = D₅×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	8-	(C5xD4).32C2^3	320,1624
(C₅×D₄).₃₃C₂³ = D₂₀.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	8+	(C5xD4).33C2^3	320,1625
(C₅×D₄).₃₄C₂³ = SD₁₆×C₂×C₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4).34C2^3	320,1572
(C₅×D₄).₃₅C₂³ = C₁₀×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4).35C2^3	320,1574
(C₅×D₄).₃₆C₂³ = C₁₀×C₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160		(C5xD4).36C2^3	320,1576
(C₅×D₄).₃₇C₂³ = C₅×D₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	4	(C5xD4).37C2^3	320,1577
(C₅×D₄).₃₈C₂³ = C₅×D₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	4	(C5xD4).38C2^3	320,1578
(C₅×D₄).₃₉C₂³ = C₅×D₄○SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	80	4	(C5xD4).39C2^3	320,1579
(C₅×D₄).₄₀C₂³ = C₅×Q₈○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₅×D₄	160	4	(C5xD4).40C2^3	320,1580
(C₅×D₄).₄₁C₂³ = C₁₀×2_-¹⁺⁴	φ: trivial image	160		(C5xD4).41C2^3	320,1633
(C₅×D₄).₄₂C₂³ = C₅×C₂.C₂⁵	φ: trivial image	80	4	(C5xD4).42C2^3	320,1634

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C5×D4 and Q=C23

Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₂³