Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=C₂³

Direct product G=N×Q with N=C₄×D₅ and Q=C₂³

		d	ρ	Label	ID
D₅×C₂³×C₄		160		D5xC2^3xC4	320,1609

Semidirect products G=N:Q with N=C₄×D₅ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁C₂³ = C₂×D₄⋊₆D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5):1C2^3	320,1614
(C₄×D₅)⋊₂C₂³ = C₂×D₄⋊₈D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5):2C2^3	320,1619
(C₄×D₅)⋊₃C₂³ = D₅×2₊¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8+	(C4xD5):3C2^3	320,1622
(C₄×D₅)⋊₄C₂³ = C₂²×D₄×D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5):4C2^3	320,1612
(C₄×D₅)⋊₅C₂³ = C₂²×D₄⋊₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5):5C2^3	320,1613
(C₄×D₅)⋊₆C₂³ = C₂²×Q₈⋊₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5):6C2^3	320,1616
(C₄×D₅)⋊₇C₂³ = C₂×D₅×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5):7C2^3	320,1618
(C₄×D₅)⋊₈C₂³ = C₂²×C₄○D₂₀	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5):8C2^3	320,1611

Non-split extensions G=N.Q with N=C₄×D₅ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁C₂³ = C₂×D₈⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).1C2^3	320,1427
(C₄×D₅).₂C₂³ = D₈⋊₁₃D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	4	(C4xD5).2C2^3	320,1429
(C₄×D₅).₃C₂³ = C₂×D₄₀⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).3C2^3	320,1431
(C₄×D₅).₄C₂³ = C₂×SD₁₆⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).4C2^3	320,1432
(C₄×D₅).₅C₂³ = D₂₀.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	4	(C4xD5).5C2^3	320,1434
(C₄×D₅).₆C₂³ = C₂×Q₁₆⋊D₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).6C2^3	320,1436
(C₄×D₅).₇C₂³ = D₂₀.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160	4	(C4xD5).7C2^3	320,1438
(C₄×D₅).₈C₂³ = Q₁₆⋊D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	4	(C4xD5).8C2^3	320,1440
(C₄×D₅).₉C₂³ = D₈⋊₁₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	4+	(C4xD5).9C2^3	320,1441
(C₄×D₅).₁₀C₂³ = D₈⋊₁₁D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	4	(C4xD5).10C2^3	320,1442
(C₄×D₅).₁₁C₂³ = D₂₀.₄₇D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160	4-	(C4xD5).11C2^3	320,1443
(C₄×D₅).₁₂C₂³ = D₅×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8+	(C4xD5).12C2^3	320,1444
(C₄×D₅).₁₃C₂³ = D₈⋊₅D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8+	(C4xD5).13C2^3	320,1446
(C₄×D₅).₁₄C₂³ = D₈⋊₆D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).14C2^3	320,1447
(C₄×D₅).₁₅C₂³ = D₅×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).15C2^3	320,1448
(C₄×D₅).₁₆C₂³ = C₄₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8+	(C4xD5).16C2^3	320,1450
(C₄×D₅).₁₇C₂³ = D₂₀.₄₄D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160	8-	(C4xD5).17C2^3	320,1451
(C₄×D₅).₁₈C₂³ = C₂×Q₈.₁₀D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).18C2^3	320,1617
(C₄×D₅).₁₉C₂³ = C₂×D₄.₁₀D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).19C2^3	320,1620
(C₄×D₅).₂₀C₂³ = D₂₀.₃₇C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).20C2^3	320,1623
(C₄×D₅).₂₁C₂³ = D₅×2_-¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).21C2^3	320,1624
(C₄×D₅).₂₂C₂³ = D₂₀.₃₉C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8+	(C4xD5).22C2^3	320,1625
(C₄×D₅).₂₃C₂³ = D₈×F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8+	(C4xD5).23C2^3	320,1068
(C₄×D₅).₂₄C₂³ = D₄₀⋊C₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8+	(C4xD5).24C2^3	320,1069
(C₄×D₅).₂₅C₂³ = D₈⋊₅F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).25C2^3	320,1070
(C₄×D₅).₂₆C₂³ = D₈⋊F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).26C2^3	320,1071
(C₄×D₅).₂₇C₂³ = SD₁₆×F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).27C2^3	320,1072
(C₄×D₅).₂₈C₂³ = SD₁₆⋊F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).28C2^3	320,1073
(C₄×D₅).₂₉C₂³ = SD₁₆⋊₃F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).29C2^3	320,1074
(C₄×D₅).₃₀C₂³ = SD₁₆⋊₂F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).30C2^3	320,1075
(C₄×D₅).₃₁C₂³ = Q₁₆×F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).31C2^3	320,1076
(C₄×D₅).₃₂C₂³ = Dic₂₀⋊C₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).32C2^3	320,1077
(C₄×D₅).₃₃C₂³ = Q₁₆⋊₅F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8+	(C4xD5).33C2^3	320,1078
(C₄×D₅).₃₄C₂³ = Q₁₆⋊F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8+	(C4xD5).34C2^3	320,1079
(C₄×D₅).₃₅C₂³ = C₂×D₂₀⋊C₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).35C2^3	320,1104
(C₄×D₅).₃₆C₂³ = (D₄×C₁₀)⋊C₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8+	(C4xD5).36C2^3	320,1105
(C₄×D₅).₃₇C₂³ = C₂×D₄⋊F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).37C2^3	320,1106
(C₄×D₅).₃₈C₂³ = (C₂×D₄)⋊₆F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).38C2^3	320,1107
(C₄×D₅).₃₉C₂³ = C₂×Q₈⋊F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).39C2^3	320,1119
(C₄×D₅).₄₀C₂³ = (C₂×Q₈)⋊₄F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).40C2^3	320,1120
(C₄×D₅).₄₁C₂³ = C₂×Q₈⋊₂F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).41C2^3	320,1121
(C₄×D₅).₄₂C₂³ = (C₂×Q₈)⋊₆F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8+	(C4xD5).42C2^3	320,1122
(C₄×D₅).₄₃C₂³ = D₅⋊C₄≀C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).43C2^3	320,1130
(C₄×D₅).₄₄C₂³ = C₄○D₄⋊F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).44C2^3	320,1131
(C₄×D₅).₄₅C₂³ = C₄○D₂₀⋊C₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).45C2^3	320,1132
(C₄×D₅).₄₆C₂³ = D₄⋊F₅⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).46C2^3	320,1133
(C₄×D₅).₄₇C₂³ = C₂×D₄.F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).47C2^3	320,1593
(C₄×D₅).₄₈C₂³ = Dic₅.C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).48C2^3	320,1594
(C₄×D₅).₄₉C₂³ = C₂×D₄×F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40		(C4xD5).49C2^3	320,1595
(C₄×D₅).₅₀C₂³ = D₁₀.C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8+	(C4xD5).50C2^3	320,1596
(C₄×D₅).₅₁C₂³ = C₂×Q₈.F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).51C2^3	320,1597
(C₄×D₅).₅₂C₂³ = Dic₅.₂₀C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8+	(C4xD5).52C2^3	320,1598
(C₄×D₅).₅₃C₂³ = C₂×Q₈×F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).53C2^3	320,1599
(C₄×D₅).₅₄C₂³ = D₅.2_-¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8-	(C4xD5).54C2^3	320,1600
(C₄×D₅).₅₅C₂³ = Dic₅.₂₁C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).55C2^3	320,1601
(C₄×D₅).₅₆C₂³ = Dic₅.₂₂C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).56C2^3	320,1602
(C₄×D₅).₅₇C₂³ = C₄○D₄×F₅	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).57C2^3	320,1603
(C₄×D₅).₅₈C₂³ = D₅.2₊¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).58C2^3	320,1604
(C₄×D₅).₅₉C₂³ = C₂×D₅×D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).59C2^3	320,1426
(C₄×D₅).₆₀C₂³ = C₂×D₈⋊₃D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).60C2^3	320,1428
(C₄×D₅).₆₁C₂³ = C₂×D₅×SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).61C2^3	320,1430
(C₄×D₅).₆₂C₂³ = C₂×SD₁₆⋊₃D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).62C2^3	320,1433
(C₄×D₅).₆₃C₂³ = C₂×D₅×Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).63C2^3	320,1435
(C₄×D₅).₆₄C₂³ = C₂×Q₈.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).64C2^3	320,1437
(C₄×D₅).₆₅C₂³ = D₅×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).65C2^3	320,1439
(C₄×D₅).₆₆C₂³ = SD₁₆⋊D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	8-	(C4xD5).66C2^3	320,1445
(C₄×D₅).₆₇C₂³ = D₄₀⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	8+	(C4xD5).67C2^3	320,1449
(C₄×D₅).₆₈C₂³ = C₂²×Q₈×D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).68C2^3	320,1615
(C₄×D₅).₆₉C₂³ = C₂²×C₈⋊D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).69C2^3	320,1409
(C₄×D₅).₇₀C₂³ = C₂×D₂₀.₃C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).70C2^3	320,1410
(C₄×D₅).₇₁C₂³ = C₂×D₂₀.₂C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).71C2^3	320,1416
(C₄×D₅).₇₂C₂³ = C₄₀.₄₇C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).72C2^3	320,1417
(C₄×D₅).₇₃C₂³ = C₂₀.₇₂C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).73C2^3	320,1422
(C₄×D₅).₇₄C₂³ = C₁₀.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).74C2^3	320,1621
(C₄×D₅).₇₅C₂³ = C₂×C₄₀⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).75C2^3	320,1057
(C₄×D₅).₇₆C₂³ = C₂×D₅.D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).76C2^3	320,1058
(C₄×D₅).₇₇C₂³ = (C₂×C₈)⋊₆F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).77C2^3	320,1059
(C₄×D₅).₇₈C₂³ = C₂×C₄₀.C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).78C2^3	320,1060
(C₄×D₅).₇₉C₂³ = C₂×D₁₀.Q₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).79C2^3	320,1061
(C₄×D₅).₈₀C₂³ = (C₈×D₅).C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).80C2^3	320,1062
(C₄×D₅).₈₁C₂³ = M₄(2)⋊₁F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	40	8	(C4xD5).81C2^3	320,1065
(C₄×D₅).₈₂C₂³ = M₄(2).₁F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	8	(C4xD5).82C2^3	320,1067
(C₄×D₅).₈₃C₂³ = C₂²×C₄.F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).83C2^3	320,1588
(C₄×D₅).₈₄C₂³ = C₂²×C₄⋊F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).84C2^3	320,1591
(C₄×D₅).₈₅C₂³ = C₂×C₈×F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).85C2^3	320,1054
(C₄×D₅).₈₆C₂³ = C₂×C₈⋊F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).86C2^3	320,1055
(C₄×D₅).₈₇C₂³ = C₂₀.₁₂C₄²	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).87C2^3	320,1056
(C₄×D₅).₈₈C₂³ = M₄(2)×F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	40	8	(C4xD5).88C2^3	320,1064
(C₄×D₅).₈₉C₂³ = M₄(2)⋊₅F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80	8	(C4xD5).89C2^3	320,1066
(C₄×D₅).₉₀C₂³ = C₂²×D₅⋊C₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	160		(C4xD5).90C2^3	320,1587
(C₄×D₅).₉₁C₂³ = C₂×D₅⋊M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).91C2^3	320,1589
(C₄×D₅).₉₂C₂³ = C₂²×C₄×F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).92C2^3	320,1590
(C₄×D₅).₉₃C₂³ = C₂×D₁₀.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₅	80		(C4xD5).93C2^3	320,1592
(C₄×D₅).₉₄C₂³ = D₅×C₂²×C₈	φ: trivial image	160		(C4xD5).94C2^3	320,1408
(C₄×D₅).₉₅C₂³ = C₂×D₅×M₄(2)	φ: trivial image	80		(C4xD5).95C2^3	320,1415
(C₄×D₅).₉₆C₂³ = D₅×C₈○D₄	φ: trivial image	80	4	(C4xD5).96C2^3	320,1421

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Extensions 1→N→G→Q→1 with N=C4×D5 and Q=C23

Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=C₂³