Extensions 1→N→G→Q→1 with N=C5xQ8 and Q=C23

Direct product G=NxQ with N=C5xQ8 and Q=C23
dρLabelID
Q8xC22xC10320Q8xC2^2xC10320,1630

Semidirect products G=N:Q with N=C5xQ8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C5xQ8):1C23 = C2xD5xSD16φ: C23/C2C22 ⊆ Out C5xQ880(C5xQ8):1C2^3320,1430
(C5xQ8):2C23 = C2xD40:C2φ: C23/C2C22 ⊆ Out C5xQ880(C5xQ8):2C2^3320,1431
(C5xQ8):3C23 = D5xC8:C22φ: C23/C2C22 ⊆ Out C5xQ8408+(C5xQ8):3C2^3320,1444
(C5xQ8):4C23 = C22xQ8:D5φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8):4C2^3320,1479
(C5xQ8):5C23 = C2xD4:D10φ: C23/C22C2 ⊆ Out C5xQ880(C5xQ8):5C2^3320,1492
(C5xQ8):6C23 = C22xQ8xD5φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8):6C2^3320,1615
(C5xQ8):7C23 = C22xQ8:2D5φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8):7C2^3320,1616
(C5xQ8):8C23 = C2xD5xC4oD4φ: C23/C22C2 ⊆ Out C5xQ880(C5xQ8):8C2^3320,1618
(C5xQ8):9C23 = C2xD4:8D10φ: C23/C22C2 ⊆ Out C5xQ880(C5xQ8):9C2^3320,1619
(C5xQ8):10C23 = D5x2+ 1+4φ: C23/C22C2 ⊆ Out C5xQ8408+(C5xQ8):10C2^3320,1622
(C5xQ8):11C23 = SD16xC2xC10φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8):11C2^3320,1572
(C5xQ8):12C23 = C10xC8:C22φ: C23/C22C2 ⊆ Out C5xQ880(C5xQ8):12C2^3320,1575
(C5xQ8):13C23 = C4oD4xC2xC10φ: trivial image160(C5xQ8):13C2^3320,1631
(C5xQ8):14C23 = C10x2+ 1+4φ: trivial image80(C5xQ8):14C2^3320,1632

Non-split extensions G=N.Q with N=C5xQ8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C5xQ8).1C23 = C2xSD16:D5φ: C23/C2C22 ⊆ Out C5xQ8160(C5xQ8).1C2^3320,1432
(C5xQ8).2C23 = C2xSD16:3D5φ: C23/C2C22 ⊆ Out C5xQ8160(C5xQ8).2C2^3320,1433
(C5xQ8).3C23 = D20.29D4φ: C23/C2C22 ⊆ Out C5xQ8804(C5xQ8).3C2^3320,1434
(C5xQ8).4C23 = C2xD5xQ16φ: C23/C2C22 ⊆ Out C5xQ8160(C5xQ8).4C2^3320,1435
(C5xQ8).5C23 = C2xQ16:D5φ: C23/C2C22 ⊆ Out C5xQ8160(C5xQ8).5C2^3320,1436
(C5xQ8).6C23 = C2xQ8.D10φ: C23/C2C22 ⊆ Out C5xQ8160(C5xQ8).6C2^3320,1437
(C5xQ8).7C23 = D20.30D4φ: C23/C2C22 ⊆ Out C5xQ81604(C5xQ8).7C2^3320,1438
(C5xQ8).8C23 = D5xC4oD8φ: C23/C2C22 ⊆ Out C5xQ8804(C5xQ8).8C2^3320,1439
(C5xQ8).9C23 = Q16:D10φ: C23/C2C22 ⊆ Out C5xQ8804(C5xQ8).9C2^3320,1440
(C5xQ8).10C23 = D8:15D10φ: C23/C2C22 ⊆ Out C5xQ8804+(C5xQ8).10C2^3320,1441
(C5xQ8).11C23 = D8:11D10φ: C23/C2C22 ⊆ Out C5xQ8804(C5xQ8).11C2^3320,1442
(C5xQ8).12C23 = D20.47D4φ: C23/C2C22 ⊆ Out C5xQ81604-(C5xQ8).12C2^3320,1443
(C5xQ8).13C23 = SD16:D10φ: C23/C2C22 ⊆ Out C5xQ8808-(C5xQ8).13C2^3320,1445
(C5xQ8).14C23 = D8:5D10φ: C23/C2C22 ⊆ Out C5xQ8808+(C5xQ8).14C2^3320,1446
(C5xQ8).15C23 = D8:6D10φ: C23/C2C22 ⊆ Out C5xQ8808-(C5xQ8).15C2^3320,1447
(C5xQ8).16C23 = D5xC8.C22φ: C23/C2C22 ⊆ Out C5xQ8808-(C5xQ8).16C2^3320,1448
(C5xQ8).17C23 = D40:C22φ: C23/C2C22 ⊆ Out C5xQ8808+(C5xQ8).17C2^3320,1449
(C5xQ8).18C23 = C40.C23φ: C23/C2C22 ⊆ Out C5xQ8808+(C5xQ8).18C2^3320,1450
(C5xQ8).19C23 = D20.44D4φ: C23/C2C22 ⊆ Out C5xQ81608-(C5xQ8).19C2^3320,1451
(C5xQ8).20C23 = C2xC20.C23φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8).20C2^3320,1480
(C5xQ8).21C23 = C22xC5:Q16φ: C23/C22C2 ⊆ Out C5xQ8320(C5xQ8).21C2^3320,1481
(C5xQ8).22C23 = C2xD4.8D10φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8).22C2^3320,1493
(C5xQ8).23C23 = C20.C24φ: C23/C22C2 ⊆ Out C5xQ8804(C5xQ8).23C2^3320,1494
(C5xQ8).24C23 = C2xD4.9D10φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8).24C2^3320,1495
(C5xQ8).25C23 = D20.32C23φ: C23/C22C2 ⊆ Out C5xQ8808+(C5xQ8).25C2^3320,1507
(C5xQ8).26C23 = D20.33C23φ: C23/C22C2 ⊆ Out C5xQ8808-(C5xQ8).26C2^3320,1508
(C5xQ8).27C23 = D20.34C23φ: C23/C22C2 ⊆ Out C5xQ8808+(C5xQ8).27C2^3320,1509
(C5xQ8).28C23 = D20.35C23φ: C23/C22C2 ⊆ Out C5xQ81608-(C5xQ8).28C2^3320,1510
(C5xQ8).29C23 = C2xQ8.10D10φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8).29C2^3320,1617
(C5xQ8).30C23 = C2xD4.10D10φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8).30C2^3320,1620
(C5xQ8).31C23 = C10.C25φ: C23/C22C2 ⊆ Out C5xQ8804(C5xQ8).31C2^3320,1621
(C5xQ8).32C23 = D20.37C23φ: C23/C22C2 ⊆ Out C5xQ8808-(C5xQ8).32C2^3320,1623
(C5xQ8).33C23 = D5x2- 1+4φ: C23/C22C2 ⊆ Out C5xQ8808-(C5xQ8).33C2^3320,1624
(C5xQ8).34C23 = D20.39C23φ: C23/C22C2 ⊆ Out C5xQ8808+(C5xQ8).34C2^3320,1625
(C5xQ8).35C23 = Q16xC2xC10φ: C23/C22C2 ⊆ Out C5xQ8320(C5xQ8).35C2^3320,1573
(C5xQ8).36C23 = C10xC4oD8φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8).36C2^3320,1574
(C5xQ8).37C23 = C10xC8.C22φ: C23/C22C2 ⊆ Out C5xQ8160(C5xQ8).37C2^3320,1576
(C5xQ8).38C23 = C5xD8:C22φ: C23/C22C2 ⊆ Out C5xQ8804(C5xQ8).38C2^3320,1577
(C5xQ8).39C23 = C5xD4oD8φ: C23/C22C2 ⊆ Out C5xQ8804(C5xQ8).39C2^3320,1578
(C5xQ8).40C23 = C5xD4oSD16φ: C23/C22C2 ⊆ Out C5xQ8804(C5xQ8).40C2^3320,1579
(C5xQ8).41C23 = C5xQ8oD8φ: C23/C22C2 ⊆ Out C5xQ81604(C5xQ8).41C2^3320,1580
(C5xQ8).42C23 = C10x2- 1+4φ: trivial image160(C5xQ8).42C2^3320,1633
(C5xQ8).43C23 = C5xC2.C25φ: trivial image804(C5xQ8).43C2^3320,1634

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