Extensions 1→N→G→Q→1 with N=D4×C2×C10 and Q=C2

Direct product G=N×Q with N=D4×C2×C10 and Q=C2
dρLabelID
D4×C22×C10160D4xC2^2xC10320,1629

Semidirect products G=N:Q with N=D4×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C2×C10)⋊1C2 = (C2×C10)⋊8D8φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):1C2320,844
(D4×C2×C10)⋊2C2 = C22×D4⋊D5φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):2C2320,1464
(D4×C2×C10)⋊3C2 = C2×D4.D10φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):3C2320,1465
(D4×C2×C10)⋊4C2 = C2×C202D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):4C2320,1472
(D4×C2×C10)⋊5C2 = D4×C5⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):5C2320,1473
(D4×C2×C10)⋊6C2 = C2×C20⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):6C2320,1475
(D4×C2×C10)⋊7C2 = C24.41D10φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):7C2320,1477
(D4×C2×C10)⋊8C2 = C24.42D10φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):8C2320,1478
(D4×C2×C10)⋊9C2 = C22×D4×D5φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):9C2320,1612
(D4×C2×C10)⋊10C2 = C22×D42D5φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):10C2320,1613
(D4×C2×C10)⋊11C2 = C2×D46D10φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):11C2320,1614
(D4×C2×C10)⋊12C2 = C24.21D10φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):12C2320,850
(D4×C2×C10)⋊13C2 = C5×C232D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):13C2320,893
(D4×C2×C10)⋊14C2 = C5×C22⋊D8φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):14C2320,948
(D4×C2×C10)⋊15C2 = C2×C23⋊D10φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):15C2320,1471
(D4×C2×C10)⋊16C2 = C2×Dic5⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):16C2320,1474
(D4×C2×C10)⋊17C2 = C248D10φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):17C2320,1476
(D4×C2×C10)⋊18C2 = C10×C22≀C2φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):18C2320,1523
(D4×C2×C10)⋊19C2 = C10×C4⋊D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):19C2320,1524
(D4×C2×C10)⋊20C2 = C10×C41D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):20C2320,1532
(D4×C2×C10)⋊21C2 = C5×C233D4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):21C2320,1536
(D4×C2×C10)⋊22C2 = C5×C22.29C24φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):22C2320,1537
(D4×C2×C10)⋊23C2 = C5×D42φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):23C2320,1547
(D4×C2×C10)⋊24C2 = C5×D45D4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):24C2320,1548
(D4×C2×C10)⋊25C2 = D8×C2×C10φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10):25C2320,1571
(D4×C2×C10)⋊26C2 = C10×C8⋊C22φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):26C2320,1575
(D4×C2×C10)⋊27C2 = C10×2+ 1+4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10):27C2320,1632
(D4×C2×C10)⋊28C2 = C4○D4×C2×C10φ: trivial image160(D4xC2xC10):28C2320,1631

Non-split extensions G=N.Q with N=D4×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C2×C10).1C2 = C2×D4⋊Dic5φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).1C2320,841
(D4×C2×C10).2C2 = (D4×C10)⋊18C4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).2C2320,842
(D4×C2×C10).3C2 = C2×C20.D4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).3C2320,843
(D4×C2×C10).4C2 = (C5×D4).31D4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).4C2320,845
(D4×C2×C10).5C2 = C24.19D10φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).5C2320,848
(D4×C2×C10).6C2 = C22×D4.D5φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).6C2320,1466
(D4×C2×C10).7C2 = C2×D4×Dic5φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).7C2320,1467
(D4×C2×C10).8C2 = C2×C20.17D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).8C2320,1469
(D4×C2×C10).9C2 = C24.38D10φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).9C2320,1470
(D4×C2×C10).10C2 = C2×C23⋊Dic5φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).10C2320,846
(D4×C2×C10).11C2 = C24.18D10φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).11C2320,847
(D4×C2×C10).12C2 = C24.20D10φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).12C2320,849
(D4×C2×C10).13C2 = C5×C23.23D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).13C2320,887
(D4×C2×C10).14C2 = C5×C24.3C22φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).14C2320,891
(D4×C2×C10).15C2 = C5×C23.10D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).15C2320,895
(D4×C2×C10).16C2 = C10×C23⋊C4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).16C2320,910
(D4×C2×C10).17C2 = C10×C4.D4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).17C2320,912
(D4×C2×C10).18C2 = C10×D4⋊C4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).18C2320,915
(D4×C2×C10).19C2 = C5×C23.37D4φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).19C2320,919
(D4×C2×C10).20C2 = C5×C22⋊SD16φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).20C2320,951
(D4×C2×C10).21C2 = C2×C23.18D10φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).21C2320,1468
(D4×C2×C10).22C2 = C5×C22.11C24φ: C2/C1C2 ⊆ Out D4×C2×C1080(D4xC2xC10).22C2320,1520
(D4×C2×C10).23C2 = C10×C22.D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).23C2320,1526
(D4×C2×C10).24C2 = C10×C4.4D4φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).24C2320,1528
(D4×C2×C10).25C2 = SD16×C2×C10φ: C2/C1C2 ⊆ Out D4×C2×C10160(D4xC2xC10).25C2320,1572
(D4×C2×C10).26C2 = D4×C2×C20φ: trivial image160(D4xC2xC10).26C2320,1517

׿
×
𝔽