# Extensions 1→N→G→Q→1 with N=C10×C4○D4 and Q=C2

Direct product G=N×Q with N=C10×C4○D4 and Q=C2
dρLabelID
C4○D4×C2×C10160C4oD4xC2xC10320,1631

Semidirect products G=N:Q with N=C10×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C4○D4)⋊1C2 = (C5×D4)⋊14D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):1C2320,865
(C10×C4○D4)⋊2C2 = C2×D4⋊D10φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):2C2320,1492
(C10×C4○D4)⋊3C2 = C2×D4.8D10φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):3C2320,1493
(C10×C4○D4)⋊4C2 = C20.C24φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4):4C2320,1494
(C10×C4○D4)⋊5C2 = C10.1042- 1+4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):5C2320,1496
(C10×C4○D4)⋊6C2 = (C2×C20)⋊15D4φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):6C2320,1500
(C10×C4○D4)⋊7C2 = C10.1452+ 1+4φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):7C2320,1501
(C10×C4○D4)⋊8C2 = C10.1462+ 1+4φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):8C2320,1502
(C10×C4○D4)⋊9C2 = C10.1072- 1+4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):9C2320,1503
(C10×C4○D4)⋊10C2 = (C2×C20)⋊17D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):10C2320,1504
(C10×C4○D4)⋊11C2 = C10.1472+ 1+4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):11C2320,1505
(C10×C4○D4)⋊12C2 = C10.1482+ 1+4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):12C2320,1506
(C10×C4○D4)⋊13C2 = C2×D5×C4○D4φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):13C2320,1618
(C10×C4○D4)⋊14C2 = C2×D48D10φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):14C2320,1619
(C10×C4○D4)⋊15C2 = C2×D4.10D10φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):15C2320,1620
(C10×C4○D4)⋊16C2 = C10.C25φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4):16C2320,1621
(C10×C4○D4)⋊17C2 = C5×D4⋊D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):17C2320,950
(C10×C4○D4)⋊18C2 = C5×C22.19C24φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):18C2320,1527
(C10×C4○D4)⋊19C2 = C5×C22.26C24φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):19C2320,1534
(C10×C4○D4)⋊20C2 = C5×C22.29C24φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):20C2320,1537
(C10×C4○D4)⋊21C2 = C5×C22.31C24φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):21C2320,1539
(C10×C4○D4)⋊22C2 = C5×D45D4φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):22C2320,1548
(C10×C4○D4)⋊23C2 = C5×D46D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):23C2320,1549
(C10×C4○D4)⋊24C2 = C5×Q85D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):24C2320,1550
(C10×C4○D4)⋊25C2 = C5×Q86D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):25C2320,1552
(C10×C4○D4)⋊26C2 = C10×C4○D8φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):26C2320,1574
(C10×C4○D4)⋊27C2 = C10×C8⋊C22φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):27C2320,1575
(C10×C4○D4)⋊28C2 = C5×D8⋊C22φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4):28C2320,1577
(C10×C4○D4)⋊29C2 = C10×2+ 1+4φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4):29C2320,1632
(C10×C4○D4)⋊30C2 = C10×2- 1+4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4):30C2320,1633
(C10×C4○D4)⋊31C2 = C5×C2.C25φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4):31C2320,1634

Non-split extensions G=N.Q with N=C10×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C4○D4).1C2 = C4○D4⋊Dic5φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).1C2320,859
(C10×C4○D4).2C2 = C20.(C2×D4)φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).2C2320,860
(C10×C4○D4).3C2 = (D4×C10).24C4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).3C2320,861
(C10×C4○D4).4C2 = C2×D42Dic5φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4).4C2320,862
(C10×C4○D4).5C2 = (D4×C10)⋊21C4φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).5C2320,863
(C10×C4○D4).6C2 = (D4×C10).29C4φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).6C2320,864
(C10×C4○D4).7C2 = (C5×D4).32D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).7C2320,866
(C10×C4○D4).8C2 = (D4×C10)⋊22C4φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).8C2320,867
(C10×C4○D4).9C2 = C2×D4.Dic5φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).9C2320,1490
(C10×C4○D4).10C2 = C20.76C24φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).10C2320,1491
(C10×C4○D4).11C2 = C2×D4.9D10φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).11C2320,1495
(C10×C4○D4).12C2 = C10.1052- 1+4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).12C2320,1497
(C10×C4○D4).13C2 = C4○D4×Dic5φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).13C2320,1498
(C10×C4○D4).14C2 = C10.1062- 1+4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).14C2320,1499
(C10×C4○D4).15C2 = C5×(C22×C8)⋊C2φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).15C2320,909
(C10×C4○D4).16C2 = C5×C23.C23φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).16C2320,911
(C10×C4○D4).17C2 = C5×M4(2).8C22φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).17C2320,914
(C10×C4○D4).18C2 = C5×C23.24D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).18C2320,917
(C10×C4○D4).19C2 = C5×C23.36D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).19C2320,918
(C10×C4○D4).20C2 = C10×C4≀C2φ: C2/C1C2 ⊆ Out C10×C4○D480(C10xC4oD4).20C2320,921
(C10×C4○D4).21C2 = C5×C42⋊C22φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).21C2320,922
(C10×C4○D4).22C2 = C5×D4.7D4φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).22C2320,953
(C10×C4○D4).23C2 = C5×C23.33C23φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).23C2320,1522
(C10×C4○D4).24C2 = C5×C23.38C23φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).24C2320,1538
(C10×C4○D4).25C2 = C5×Q8○M4(2)φ: C2/C1C2 ⊆ Out C10×C4○D4804(C10xC4oD4).25C2320,1570
(C10×C4○D4).26C2 = C10×C8.C22φ: C2/C1C2 ⊆ Out C10×C4○D4160(C10xC4oD4).26C2320,1576
(C10×C4○D4).27C2 = C4○D4×C20φ: trivial image160(C10xC4oD4).27C2320,1519
(C10×C4○D4).28C2 = C10×C8○D4φ: trivial image160(C10xC4oD4).28C2320,1569

׿
×
𝔽