Extensions 1→N→G→Q→1 with N=C4xD5 and Q=C23

Direct product G=NxQ with N=C4xD5 and Q=C23
dρLabelID
D5xC23xC4160D5xC2^3xC4320,1609

Semidirect products G=N:Q with N=C4xD5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C4xD5):1C23 = C2xD4:6D10φ: C23/C2C22 ⊆ Out C4xD580(C4xD5):1C2^3320,1614
(C4xD5):2C23 = C2xD4:8D10φ: C23/C2C22 ⊆ Out C4xD580(C4xD5):2C2^3320,1619
(C4xD5):3C23 = D5x2+ 1+4φ: C23/C2C22 ⊆ Out C4xD5408+(C4xD5):3C2^3320,1622
(C4xD5):4C23 = C22xD4xD5φ: C23/C22C2 ⊆ Out C4xD580(C4xD5):4C2^3320,1612
(C4xD5):5C23 = C22xD4:2D5φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5):5C2^3320,1613
(C4xD5):6C23 = C22xQ8:2D5φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5):6C2^3320,1616
(C4xD5):7C23 = C2xD5xC4oD4φ: C23/C22C2 ⊆ Out C4xD580(C4xD5):7C2^3320,1618
(C4xD5):8C23 = C22xC4oD20φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5):8C2^3320,1611

Non-split extensions G=N.Q with N=C4xD5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C4xD5).1C23 = C2xD8:D5φ: C23/C2C22 ⊆ Out C4xD580(C4xD5).1C2^3320,1427
(C4xD5).2C23 = D8:13D10φ: C23/C2C22 ⊆ Out C4xD5804(C4xD5).2C2^3320,1429
(C4xD5).3C23 = C2xD40:C2φ: C23/C2C22 ⊆ Out C4xD580(C4xD5).3C2^3320,1431
(C4xD5).4C23 = C2xSD16:D5φ: C23/C2C22 ⊆ Out C4xD5160(C4xD5).4C2^3320,1432
(C4xD5).5C23 = D20.29D4φ: C23/C2C22 ⊆ Out C4xD5804(C4xD5).5C2^3320,1434
(C4xD5).6C23 = C2xQ16:D5φ: C23/C2C22 ⊆ Out C4xD5160(C4xD5).6C2^3320,1436
(C4xD5).7C23 = D20.30D4φ: C23/C2C22 ⊆ Out C4xD51604(C4xD5).7C2^3320,1438
(C4xD5).8C23 = Q16:D10φ: C23/C2C22 ⊆ Out C4xD5804(C4xD5).8C2^3320,1440
(C4xD5).9C23 = D8:15D10φ: C23/C2C22 ⊆ Out C4xD5804+(C4xD5).9C2^3320,1441
(C4xD5).10C23 = D8:11D10φ: C23/C2C22 ⊆ Out C4xD5804(C4xD5).10C2^3320,1442
(C4xD5).11C23 = D20.47D4φ: C23/C2C22 ⊆ Out C4xD51604-(C4xD5).11C2^3320,1443
(C4xD5).12C23 = D5xC8:C22φ: C23/C2C22 ⊆ Out C4xD5408+(C4xD5).12C2^3320,1444
(C4xD5).13C23 = D8:5D10φ: C23/C2C22 ⊆ Out C4xD5808+(C4xD5).13C2^3320,1446
(C4xD5).14C23 = D8:6D10φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).14C2^3320,1447
(C4xD5).15C23 = D5xC8.C22φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).15C2^3320,1448
(C4xD5).16C23 = C40.C23φ: C23/C2C22 ⊆ Out C4xD5808+(C4xD5).16C2^3320,1450
(C4xD5).17C23 = D20.44D4φ: C23/C2C22 ⊆ Out C4xD51608-(C4xD5).17C2^3320,1451
(C4xD5).18C23 = C2xQ8.10D10φ: C23/C2C22 ⊆ Out C4xD5160(C4xD5).18C2^3320,1617
(C4xD5).19C23 = C2xD4.10D10φ: C23/C2C22 ⊆ Out C4xD5160(C4xD5).19C2^3320,1620
(C4xD5).20C23 = D20.37C23φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).20C2^3320,1623
(C4xD5).21C23 = D5x2- 1+4φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).21C2^3320,1624
(C4xD5).22C23 = D20.39C23φ: C23/C2C22 ⊆ Out C4xD5808+(C4xD5).22C2^3320,1625
(C4xD5).23C23 = D8xF5φ: C23/C2C22 ⊆ Out C4xD5408+(C4xD5).23C2^3320,1068
(C4xD5).24C23 = D40:C4φ: C23/C2C22 ⊆ Out C4xD5408+(C4xD5).24C2^3320,1069
(C4xD5).25C23 = D8:5F5φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).25C2^3320,1070
(C4xD5).26C23 = D8:F5φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).26C2^3320,1071
(C4xD5).27C23 = SD16xF5φ: C23/C2C22 ⊆ Out C4xD5408(C4xD5).27C2^3320,1072
(C4xD5).28C23 = SD16:F5φ: C23/C2C22 ⊆ Out C4xD5408(C4xD5).28C2^3320,1073
(C4xD5).29C23 = SD16:3F5φ: C23/C2C22 ⊆ Out C4xD5808(C4xD5).29C2^3320,1074
(C4xD5).30C23 = SD16:2F5φ: C23/C2C22 ⊆ Out C4xD5808(C4xD5).30C2^3320,1075
(C4xD5).31C23 = Q16xF5φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).31C2^3320,1076
(C4xD5).32C23 = Dic20:C4φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).32C2^3320,1077
(C4xD5).33C23 = Q16:5F5φ: C23/C2C22 ⊆ Out C4xD5808+(C4xD5).33C2^3320,1078
(C4xD5).34C23 = Q16:F5φ: C23/C2C22 ⊆ Out C4xD5808+(C4xD5).34C2^3320,1079
(C4xD5).35C23 = C2xD20:C4φ: C23/C2C22 ⊆ Out C4xD580(C4xD5).35C2^3320,1104
(C4xD5).36C23 = (D4xC10):C4φ: C23/C2C22 ⊆ Out C4xD5408+(C4xD5).36C2^3320,1105
(C4xD5).37C23 = C2xD4:F5φ: C23/C2C22 ⊆ Out C4xD580(C4xD5).37C2^3320,1106
(C4xD5).38C23 = (C2xD4):6F5φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).38C2^3320,1107
(C4xD5).39C23 = C2xQ8:F5φ: C23/C2C22 ⊆ Out C4xD580(C4xD5).39C2^3320,1119
(C4xD5).40C23 = (C2xQ8):4F5φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).40C2^3320,1120
(C4xD5).41C23 = C2xQ8:2F5φ: C23/C2C22 ⊆ Out C4xD580(C4xD5).41C2^3320,1121
(C4xD5).42C23 = (C2xQ8):6F5φ: C23/C2C22 ⊆ Out C4xD5808+(C4xD5).42C2^3320,1122
(C4xD5).43C23 = D5:C4wrC2φ: C23/C2C22 ⊆ Out C4xD5408(C4xD5).43C2^3320,1130
(C4xD5).44C23 = C4oD4:F5φ: C23/C2C22 ⊆ Out C4xD5408(C4xD5).44C2^3320,1131
(C4xD5).45C23 = C4oD20:C4φ: C23/C2C22 ⊆ Out C4xD5808(C4xD5).45C2^3320,1132
(C4xD5).46C23 = D4:F5:C2φ: C23/C2C22 ⊆ Out C4xD5808(C4xD5).46C2^3320,1133
(C4xD5).47C23 = C2xD4.F5φ: C23/C2C22 ⊆ Out C4xD5160(C4xD5).47C2^3320,1593
(C4xD5).48C23 = Dic5.C24φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).48C2^3320,1594
(C4xD5).49C23 = C2xD4xF5φ: C23/C2C22 ⊆ Out C4xD540(C4xD5).49C2^3320,1595
(C4xD5).50C23 = D10.C24φ: C23/C2C22 ⊆ Out C4xD5408+(C4xD5).50C2^3320,1596
(C4xD5).51C23 = C2xQ8.F5φ: C23/C2C22 ⊆ Out C4xD5160(C4xD5).51C2^3320,1597
(C4xD5).52C23 = Dic5.20C24φ: C23/C2C22 ⊆ Out C4xD5808+(C4xD5).52C2^3320,1598
(C4xD5).53C23 = C2xQ8xF5φ: C23/C2C22 ⊆ Out C4xD580(C4xD5).53C2^3320,1599
(C4xD5).54C23 = D5.2- 1+4φ: C23/C2C22 ⊆ Out C4xD5808-(C4xD5).54C2^3320,1600
(C4xD5).55C23 = Dic5.21C24φ: C23/C2C22 ⊆ Out C4xD5808(C4xD5).55C2^3320,1601
(C4xD5).56C23 = Dic5.22C24φ: C23/C2C22 ⊆ Out C4xD5808(C4xD5).56C2^3320,1602
(C4xD5).57C23 = C4oD4xF5φ: C23/C2C22 ⊆ Out C4xD5408(C4xD5).57C2^3320,1603
(C4xD5).58C23 = D5.2+ 1+4φ: C23/C2C22 ⊆ Out C4xD5408(C4xD5).58C2^3320,1604
(C4xD5).59C23 = C2xD5xD8φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).59C2^3320,1426
(C4xD5).60C23 = C2xD8:3D5φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).60C2^3320,1428
(C4xD5).61C23 = C2xD5xSD16φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).61C2^3320,1430
(C4xD5).62C23 = C2xSD16:3D5φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).62C2^3320,1433
(C4xD5).63C23 = C2xD5xQ16φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).63C2^3320,1435
(C4xD5).64C23 = C2xQ8.D10φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).64C2^3320,1437
(C4xD5).65C23 = D5xC4oD8φ: C23/C22C2 ⊆ Out C4xD5804(C4xD5).65C2^3320,1439
(C4xD5).66C23 = SD16:D10φ: C23/C22C2 ⊆ Out C4xD5808-(C4xD5).66C2^3320,1445
(C4xD5).67C23 = D40:C22φ: C23/C22C2 ⊆ Out C4xD5808+(C4xD5).67C2^3320,1449
(C4xD5).68C23 = C22xQ8xD5φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).68C2^3320,1615
(C4xD5).69C23 = C22xC8:D5φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).69C2^3320,1409
(C4xD5).70C23 = C2xD20.3C4φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).70C2^3320,1410
(C4xD5).71C23 = C2xD20.2C4φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).71C2^3320,1416
(C4xD5).72C23 = C40.47C23φ: C23/C22C2 ⊆ Out C4xD5804(C4xD5).72C2^3320,1417
(C4xD5).73C23 = C20.72C24φ: C23/C22C2 ⊆ Out C4xD5804(C4xD5).73C2^3320,1422
(C4xD5).74C23 = C10.C25φ: C23/C22C2 ⊆ Out C4xD5804(C4xD5).74C2^3320,1621
(C4xD5).75C23 = C2xC40:C4φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).75C2^3320,1057
(C4xD5).76C23 = C2xD5.D8φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).76C2^3320,1058
(C4xD5).77C23 = (C2xC8):6F5φ: C23/C22C2 ⊆ Out C4xD5804(C4xD5).77C2^3320,1059
(C4xD5).78C23 = C2xC40.C4φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).78C2^3320,1060
(C4xD5).79C23 = C2xD10.Q8φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).79C2^3320,1061
(C4xD5).80C23 = (C8xD5).C4φ: C23/C22C2 ⊆ Out C4xD5804(C4xD5).80C2^3320,1062
(C4xD5).81C23 = M4(2):1F5φ: C23/C22C2 ⊆ Out C4xD5408(C4xD5).81C2^3320,1065
(C4xD5).82C23 = M4(2).1F5φ: C23/C22C2 ⊆ Out C4xD5808(C4xD5).82C2^3320,1067
(C4xD5).83C23 = C22xC4.F5φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).83C2^3320,1588
(C4xD5).84C23 = C22xC4:F5φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).84C2^3320,1591
(C4xD5).85C23 = C2xC8xF5φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).85C2^3320,1054
(C4xD5).86C23 = C2xC8:F5φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).86C2^3320,1055
(C4xD5).87C23 = C20.12C42φ: C23/C22C2 ⊆ Out C4xD5804(C4xD5).87C2^3320,1056
(C4xD5).88C23 = M4(2)xF5φ: C23/C22C2 ⊆ Out C4xD5408(C4xD5).88C2^3320,1064
(C4xD5).89C23 = M4(2):5F5φ: C23/C22C2 ⊆ Out C4xD5808(C4xD5).89C2^3320,1066
(C4xD5).90C23 = C22xD5:C8φ: C23/C22C2 ⊆ Out C4xD5160(C4xD5).90C2^3320,1587
(C4xD5).91C23 = C2xD5:M4(2)φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).91C2^3320,1589
(C4xD5).92C23 = C22xC4xF5φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).92C2^3320,1590
(C4xD5).93C23 = C2xD10.C23φ: C23/C22C2 ⊆ Out C4xD580(C4xD5).93C2^3320,1592
(C4xD5).94C23 = D5xC22xC8φ: trivial image160(C4xD5).94C2^3320,1408
(C4xD5).95C23 = C2xD5xM4(2)φ: trivial image80(C4xD5).95C2^3320,1415
(C4xD5).96C23 = D5xC8oD4φ: trivial image804(C4xD5).96C2^3320,1421

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