# 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
dρLabelID
Q8×C22×C10320Q8xC2^2xC10320,1630

Semidirect products G=N:Q with N=C5×Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C5×Q8)⋊1C23 = C2×D5×SD16φ: C23/C2C22 ⊆ Out C5×Q880(C5xQ8):1C2^3320,1430
(C5×Q8)⋊2C23 = C2×D40⋊C2φ: C23/C2C22 ⊆ Out C5×Q880(C5xQ8):2C2^3320,1431
(C5×Q8)⋊3C23 = D5×C8⋊C22φ: C23/C2C22 ⊆ Out C5×Q8408+(C5xQ8):3C2^3320,1444
(C5×Q8)⋊4C23 = C22×Q8⋊D5φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8):4C2^3320,1479
(C5×Q8)⋊5C23 = C2×D4⋊D10φ: C23/C22C2 ⊆ Out C5×Q880(C5xQ8):5C2^3320,1492
(C5×Q8)⋊6C23 = C22×Q8×D5φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8):6C2^3320,1615
(C5×Q8)⋊7C23 = C22×Q82D5φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8):7C2^3320,1616
(C5×Q8)⋊8C23 = C2×D5×C4○D4φ: C23/C22C2 ⊆ Out C5×Q880(C5xQ8):8C2^3320,1618
(C5×Q8)⋊9C23 = C2×D48D10φ: C23/C22C2 ⊆ Out C5×Q880(C5xQ8):9C2^3320,1619
(C5×Q8)⋊10C23 = D5×2+ 1+4φ: C23/C22C2 ⊆ Out C5×Q8408+(C5xQ8):10C2^3320,1622
(C5×Q8)⋊11C23 = SD16×C2×C10φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8):11C2^3320,1572
(C5×Q8)⋊12C23 = C10×C8⋊C22φ: C23/C22C2 ⊆ Out C5×Q880(C5xQ8):12C2^3320,1575
(C5×Q8)⋊13C23 = C4○D4×C2×C10φ: trivial image160(C5xQ8):13C2^3320,1631
(C5×Q8)⋊14C23 = C10×2+ 1+4φ: trivial image80(C5xQ8):14C2^3320,1632

Non-split extensions G=N.Q with N=C5×Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C5×Q8).1C23 = C2×SD16⋊D5φ: C23/C2C22 ⊆ Out C5×Q8160(C5xQ8).1C2^3320,1432
(C5×Q8).2C23 = C2×SD163D5φ: C23/C2C22 ⊆ Out C5×Q8160(C5xQ8).2C2^3320,1433
(C5×Q8).3C23 = D20.29D4φ: C23/C2C22 ⊆ Out C5×Q8804(C5xQ8).3C2^3320,1434
(C5×Q8).4C23 = C2×D5×Q16φ: C23/C2C22 ⊆ Out C5×Q8160(C5xQ8).4C2^3320,1435
(C5×Q8).5C23 = C2×Q16⋊D5φ: C23/C2C22 ⊆ Out C5×Q8160(C5xQ8).5C2^3320,1436
(C5×Q8).6C23 = C2×Q8.D10φ: C23/C2C22 ⊆ Out C5×Q8160(C5xQ8).6C2^3320,1437
(C5×Q8).7C23 = D20.30D4φ: C23/C2C22 ⊆ Out C5×Q81604(C5xQ8).7C2^3320,1438
(C5×Q8).8C23 = D5×C4○D8φ: C23/C2C22 ⊆ Out C5×Q8804(C5xQ8).8C2^3320,1439
(C5×Q8).9C23 = Q16⋊D10φ: C23/C2C22 ⊆ Out C5×Q8804(C5xQ8).9C2^3320,1440
(C5×Q8).10C23 = D815D10φ: C23/C2C22 ⊆ Out C5×Q8804+(C5xQ8).10C2^3320,1441
(C5×Q8).11C23 = D811D10φ: C23/C2C22 ⊆ Out C5×Q8804(C5xQ8).11C2^3320,1442
(C5×Q8).12C23 = D20.47D4φ: C23/C2C22 ⊆ Out C5×Q81604-(C5xQ8).12C2^3320,1443
(C5×Q8).13C23 = SD16⋊D10φ: C23/C2C22 ⊆ Out C5×Q8808-(C5xQ8).13C2^3320,1445
(C5×Q8).14C23 = D85D10φ: C23/C2C22 ⊆ Out C5×Q8808+(C5xQ8).14C2^3320,1446
(C5×Q8).15C23 = D86D10φ: C23/C2C22 ⊆ Out C5×Q8808-(C5xQ8).15C2^3320,1447
(C5×Q8).16C23 = D5×C8.C22φ: C23/C2C22 ⊆ Out C5×Q8808-(C5xQ8).16C2^3320,1448
(C5×Q8).17C23 = D40⋊C22φ: C23/C2C22 ⊆ Out C5×Q8808+(C5xQ8).17C2^3320,1449
(C5×Q8).18C23 = C40.C23φ: C23/C2C22 ⊆ Out C5×Q8808+(C5xQ8).18C2^3320,1450
(C5×Q8).19C23 = D20.44D4φ: C23/C2C22 ⊆ Out C5×Q81608-(C5xQ8).19C2^3320,1451
(C5×Q8).20C23 = C2×C20.C23φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8).20C2^3320,1480
(C5×Q8).21C23 = C22×C5⋊Q16φ: C23/C22C2 ⊆ Out C5×Q8320(C5xQ8).21C2^3320,1481
(C5×Q8).22C23 = C2×D4.8D10φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8).22C2^3320,1493
(C5×Q8).23C23 = C20.C24φ: C23/C22C2 ⊆ Out C5×Q8804(C5xQ8).23C2^3320,1494
(C5×Q8).24C23 = C2×D4.9D10φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8).24C2^3320,1495
(C5×Q8).25C23 = D20.32C23φ: C23/C22C2 ⊆ Out C5×Q8808+(C5xQ8).25C2^3320,1507
(C5×Q8).26C23 = D20.33C23φ: C23/C22C2 ⊆ Out C5×Q8808-(C5xQ8).26C2^3320,1508
(C5×Q8).27C23 = D20.34C23φ: C23/C22C2 ⊆ Out C5×Q8808+(C5xQ8).27C2^3320,1509
(C5×Q8).28C23 = D20.35C23φ: C23/C22C2 ⊆ Out C5×Q81608-(C5xQ8).28C2^3320,1510
(C5×Q8).29C23 = C2×Q8.10D10φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8).29C2^3320,1617
(C5×Q8).30C23 = C2×D4.10D10φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8).30C2^3320,1620
(C5×Q8).31C23 = C10.C25φ: C23/C22C2 ⊆ Out C5×Q8804(C5xQ8).31C2^3320,1621
(C5×Q8).32C23 = D20.37C23φ: C23/C22C2 ⊆ Out C5×Q8808-(C5xQ8).32C2^3320,1623
(C5×Q8).33C23 = D5×2- 1+4φ: C23/C22C2 ⊆ Out C5×Q8808-(C5xQ8).33C2^3320,1624
(C5×Q8).34C23 = D20.39C23φ: C23/C22C2 ⊆ Out C5×Q8808+(C5xQ8).34C2^3320,1625
(C5×Q8).35C23 = Q16×C2×C10φ: C23/C22C2 ⊆ Out C5×Q8320(C5xQ8).35C2^3320,1573
(C5×Q8).36C23 = C10×C4○D8φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8).36C2^3320,1574
(C5×Q8).37C23 = C10×C8.C22φ: C23/C22C2 ⊆ Out C5×Q8160(C5xQ8).37C2^3320,1576
(C5×Q8).38C23 = C5×D8⋊C22φ: C23/C22C2 ⊆ Out C5×Q8804(C5xQ8).38C2^3320,1577
(C5×Q8).39C23 = C5×D4○D8φ: C23/C22C2 ⊆ Out C5×Q8804(C5xQ8).39C2^3320,1578
(C5×Q8).40C23 = C5×D4○SD16φ: C23/C22C2 ⊆ Out C5×Q8804(C5xQ8).40C2^3320,1579
(C5×Q8).41C23 = C5×Q8○D8φ: C23/C22C2 ⊆ Out C5×Q81604(C5xQ8).41C2^3320,1580
(C5×Q8).42C23 = C10×2- 1+4φ: trivial image160(C5xQ8).42C2^3320,1633
(C5×Q8).43C23 = C5×C2.C25φ: trivial image804(C5xQ8).43C2^3320,1634

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