# Extensions 1→N→G→Q→1 with N=C5×C4○D4 and Q=C22

Direct product G=N×Q with N=C5×C4○D4 and Q=C22
dρLabelID
C4○D4×C2×C10160C4oD4xC2xC10320,1631

Semidirect products G=N:Q with N=C5×C4○D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×C4○D4)⋊1C22 = D5×C4○D8φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4):1C2^2320,1439
(C5×C4○D4)⋊2C22 = Q16⋊D10φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4):2C2^2320,1440
(C5×C4○D4)⋊3C22 = D815D10φ: C22/C1C22 ⊆ Out C5×C4○D4804+(C5xC4oD4):3C2^2320,1441
(C5×C4○D4)⋊4C22 = D811D10φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4):4C2^2320,1442
(C5×C4○D4)⋊5C22 = D5×C8⋊C22φ: C22/C1C22 ⊆ Out C5×C4○D4408+(C5xC4oD4):5C2^2320,1444
(C5×C4○D4)⋊6C22 = D85D10φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4):6C2^2320,1446
(C5×C4○D4)⋊7C22 = D86D10φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4):7C2^2320,1447
(C5×C4○D4)⋊8C22 = D20.32C23φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4):8C2^2320,1507
(C5×C4○D4)⋊9C22 = D20.34C23φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4):9C2^2320,1509
(C5×C4○D4)⋊10C22 = D5×2+ 1+4φ: C22/C1C22 ⊆ Out C5×C4○D4408+(C5xC4oD4):10C2^2320,1622
(C5×C4○D4)⋊11C22 = D20.37C23φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4):11C2^2320,1623
(C5×C4○D4)⋊12C22 = D5×2- 1+4φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4):12C2^2320,1624
(C5×C4○D4)⋊13C22 = D20.39C23φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4):13C2^2320,1625
(C5×C4○D4)⋊14C22 = C5×D4○D8φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4):14C2^2320,1578
(C5×C4○D4)⋊15C22 = C5×D4○SD16φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4):15C2^2320,1579
(C5×C4○D4)⋊16C22 = C2×D4⋊D10φ: C22/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4):16C2^2320,1492
(C5×C4○D4)⋊17C22 = C2×D4.8D10φ: C22/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):17C2^2320,1493
(C5×C4○D4)⋊18C22 = C20.C24φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4):18C2^2320,1494
(C5×C4○D4)⋊19C22 = C2×D5×C4○D4φ: C22/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4):19C2^2320,1618
(C5×C4○D4)⋊20C22 = C2×D48D10φ: C22/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4):20C2^2320,1619
(C5×C4○D4)⋊21C22 = C2×D4.10D10φ: C22/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):21C2^2320,1620
(C5×C4○D4)⋊22C22 = C10.C25φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4):22C2^2320,1621
(C5×C4○D4)⋊23C22 = C10×C4○D8φ: C22/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):23C2^2320,1574
(C5×C4○D4)⋊24C22 = C10×C8⋊C22φ: C22/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4):24C2^2320,1575
(C5×C4○D4)⋊25C22 = C5×D8⋊C22φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4):25C2^2320,1577
(C5×C4○D4)⋊26C22 = C10×2+ 1+4φ: C22/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4):26C2^2320,1632
(C5×C4○D4)⋊27C22 = C10×2- 1+4φ: C22/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4):27C2^2320,1633
(C5×C4○D4)⋊28C22 = C5×C2.C25φ: trivial image804(C5xC4oD4):28C2^2320,1634

Non-split extensions G=N.Q with N=C5×C4○D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×C4○D4).1C22 = D5×C4≀C2φ: C22/C1C22 ⊆ Out C5×C4○D4404(C5xC4oD4).1C2^2320,447
(C5×C4○D4).2C22 = C42⋊D10φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).2C2^2320,448
(C5×C4○D4).3C22 = D44D20φ: C22/C1C22 ⊆ Out C5×C4○D4404+(C5xC4oD4).3C2^2320,449
(C5×C4○D4).4C22 = M4(2).22D10φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).4C2^2320,450
(C5×C4○D4).5C22 = C42.196D10φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).5C2^2320,451
(C5×C4○D4).6C22 = M4(2)⋊D10φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).6C2^2320,452
(C5×C4○D4).7C22 = D4.9D20φ: C22/C1C22 ⊆ Out C5×C4○D4804-(C5xC4oD4).7C2^2320,453
(C5×C4○D4).8C22 = D4.10D20φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).8C2^2320,454
(C5×C4○D4).9C22 = D85Dic5φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).9C2^2320,823
(C5×C4○D4).10C22 = D84Dic5φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).10C2^2320,824
(C5×C4○D4).11C22 = D2018D4φ: C22/C1C22 ⊆ Out C5×C4○D4408+(C5xC4oD4).11C2^2320,825
(C5×C4○D4).12C22 = M4(2).D10φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4).12C2^2320,826
(C5×C4○D4).13C22 = M4(2).13D10φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).13C2^2320,827
(C5×C4○D4).14C22 = D20.38D4φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).14C2^2320,828
(C5×C4○D4).15C22 = D20.39D4φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4).15C2^2320,829
(C5×C4○D4).16C22 = M4(2).15D10φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4).16C2^2320,830
(C5×C4○D4).17C22 = M4(2).16D10φ: C22/C1C22 ⊆ Out C5×C4○D41608-(C5xC4oD4).17C2^2320,831
(C5×C4○D4).18C22 = D20.40D4φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).18C2^2320,832
(C5×C4○D4).19C22 = 2+ 1+4⋊D5φ: C22/C1C22 ⊆ Out C5×C4○D4408+(C5xC4oD4).19C2^2320,868
(C5×C4○D4).20C22 = 2+ 1+4.D5φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).20C2^2320,869
(C5×C4○D4).21C22 = 2- 1+42D5φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4).21C2^2320,872
(C5×C4○D4).22C22 = 2- 1+4.2D5φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).22C2^2320,873
(C5×C4○D4).23C22 = D20.47D4φ: C22/C1C22 ⊆ Out C5×C4○D41604-(C5xC4oD4).23C2^2320,1443
(C5×C4○D4).24C22 = SD16⋊D10φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).24C2^2320,1445
(C5×C4○D4).25C22 = D5×C8.C22φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).25C2^2320,1448
(C5×C4○D4).26C22 = D40⋊C22φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4).26C2^2320,1449
(C5×C4○D4).27C22 = C40.C23φ: C22/C1C22 ⊆ Out C5×C4○D4808+(C5xC4oD4).27C2^2320,1450
(C5×C4○D4).28C22 = D20.44D4φ: C22/C1C22 ⊆ Out C5×C4○D41608-(C5xC4oD4).28C2^2320,1451
(C5×C4○D4).29C22 = D20.33C23φ: C22/C1C22 ⊆ Out C5×C4○D4808-(C5xC4oD4).29C2^2320,1508
(C5×C4○D4).30C22 = D20.35C23φ: C22/C1C22 ⊆ Out C5×C4○D41608-(C5xC4oD4).30C2^2320,1510
(C5×C4○D4).31C22 = C5×D44D4φ: C22/C1C22 ⊆ Out C5×C4○D4404(C5xC4oD4).31C2^2320,954
(C5×C4○D4).32C22 = C5×D4.8D4φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).32C2^2320,955
(C5×C4○D4).33C22 = C5×D4.9D4φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).33C2^2320,956
(C5×C4○D4).34C22 = C5×D4.10D4φ: C22/C1C22 ⊆ Out C5×C4○D4804(C5xC4oD4).34C2^2320,957
(C5×C4○D4).35C22 = C5×Q8○D8φ: C22/C1C22 ⊆ Out C5×C4○D41604(C5xC4oD4).35C2^2320,1580
(C5×C4○D4).36C22 = D4.3D20φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).36C2^2320,768
(C5×C4○D4).37C22 = D4.4D20φ: C22/C2C2 ⊆ Out C5×C4○D4804+(C5xC4oD4).37C2^2320,769
(C5×C4○D4).38C22 = D4.5D20φ: C22/C2C2 ⊆ Out C5×C4○D41604-(C5xC4oD4).38C2^2320,770
(C5×C4○D4).39C22 = C40.93D4φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).39C2^2320,771
(C5×C4○D4).40C22 = C40.50D4φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).40C2^2320,772
(C5×C4○D4).41C22 = C2×D42Dic5φ: C22/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4).41C2^2320,862
(C5×C4○D4).42C22 = (D4×C10)⋊21C4φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).42C2^2320,863
(C5×C4○D4).43C22 = D5×C8○D4φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).43C2^2320,1421
(C5×C4○D4).44C22 = C20.72C24φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).44C2^2320,1422
(C5×C4○D4).45C22 = D4.11D20φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).45C2^2320,1423
(C5×C4○D4).46C22 = D4.12D20φ: C22/C2C2 ⊆ Out C5×C4○D4804+(C5xC4oD4).46C2^2320,1424
(C5×C4○D4).47C22 = D4.13D20φ: C22/C2C2 ⊆ Out C5×C4○D41604-(C5xC4oD4).47C2^2320,1425
(C5×C4○D4).48C22 = C2×D4.Dic5φ: C22/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4).48C2^2320,1490
(C5×C4○D4).49C22 = C20.76C24φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).49C2^2320,1491
(C5×C4○D4).50C22 = C2×D4.9D10φ: C22/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4).50C2^2320,1495
(C5×C4○D4).51C22 = C10×C4≀C2φ: C22/C2C2 ⊆ Out C5×C4○D480(C5xC4oD4).51C2^2320,921
(C5×C4○D4).52C22 = C5×C42⋊C22φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).52C2^2320,922
(C5×C4○D4).53C22 = C5×C8○D8φ: C22/C2C2 ⊆ Out C5×C4○D4802(C5xC4oD4).53C2^2320,944
(C5×C4○D4).54C22 = C5×C8.26D4φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).54C2^2320,945
(C5×C4○D4).55C22 = C5×D4.3D4φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).55C2^2320,972
(C5×C4○D4).56C22 = C5×D4.4D4φ: C22/C2C2 ⊆ Out C5×C4○D4804(C5xC4oD4).56C2^2320,973
(C5×C4○D4).57C22 = C5×D4.5D4φ: C22/C2C2 ⊆ Out C5×C4○D41604(C5xC4oD4).57C2^2320,974
(C5×C4○D4).58C22 = C10×C8.C22φ: C22/C2C2 ⊆ Out C5×C4○D4160(C5xC4oD4).58C2^2320,1576
(C5×C4○D4).59C22 = C10×C8○D4φ: trivial image160(C5xC4oD4).59C2^2320,1569
(C5×C4○D4).60C22 = C5×Q8○M4(2)φ: trivial image804(C5xC4oD4).60C2^2320,1570

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