# Extensions 1→N→G→Q→1 with N=D5×C2×C8 and Q=C2

Direct product G=N×Q with N=D5×C2×C8 and Q=C2
dρLabelID
D5×C22×C8160D5xC2^2xC8320,1408

Semidirect products G=N:Q with N=D5×C2×C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C2×C8)⋊1C2 = D5×C4○D8φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8):1C2320,1439
(D5×C2×C8)⋊2C2 = C87D20φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):2C2320,510
(D5×C2×C8)⋊3C2 = C406D4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):3C2320,784
(D5×C2×C8)⋊4C2 = C2×D5×D8φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8):4C2320,1426
(D5×C2×C8)⋊5C2 = C2×D83D5φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):5C2320,1428
(D5×C2×C8)⋊6C2 = C2×Q8.D10φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):6C2320,1437
(D5×C2×C8)⋊7C2 = C88D20φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):7C2320,491
(D5×C2×C8)⋊8C2 = C4014D4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):8C2320,798
(D5×C2×C8)⋊9C2 = C2×D5×SD16φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8):9C2320,1430
(D5×C2×C8)⋊10C2 = C2×SD163D5φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):10C2320,1433
(D5×C2×C8)⋊11C2 = C8×D20φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):11C2320,313
(D5×C2×C8)⋊12C2 = D5×C22⋊C8φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8):12C2320,351
(D5×C2×C8)⋊13C2 = C55(C8×D4)φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):13C2320,352
(D5×C2×C8)⋊14C2 = C22⋊C8⋊D5φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):14C2320,354
(D5×C2×C8)⋊15C2 = D104M4(2)φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):15C2320,355
(D5×C2×C8)⋊16C2 = D5×D4⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8):16C2320,396
(D5×C2×C8)⋊17C2 = D42D5⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):17C2320,399
(D5×C2×C8)⋊18C2 = D10⋊D8φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):18C2320,402
(D5×C2×C8)⋊19C2 = D10⋊SD16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):19C2320,405
(D5×C2×C8)⋊20C2 = Q82D5⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):20C2320,431
(D5×C2×C8)⋊21C2 = D102SD16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):21C2320,434
(D5×C2×C8)⋊22C2 = D205C8φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):22C2320,461
(D5×C2×C8)⋊23C2 = D105M4(2)φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):23C2320,463
(D5×C2×C8)⋊24C2 = C8×C5⋊D4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):24C2320,736
(D5×C2×C8)⋊25C2 = C2×D20.3C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):25C2320,1410
(D5×C2×C8)⋊26C2 = C89D20φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):26C2320,333
(D5×C2×C8)⋊27C2 = C40⋊D4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):27C2320,754
(D5×C2×C8)⋊28C2 = C2×D5×M4(2)φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8):28C2320,1415
(D5×C2×C8)⋊29C2 = C2×D20.2C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8):29C2320,1416
(D5×C2×C8)⋊30C2 = D5×C8○D4φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8):30C2320,1421

Non-split extensions G=N.Q with N=D5×C2×C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C2×C8).1C2 = D5×C8.C4φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8).1C2320,519
(D5×C2×C8).2C2 = D5×C2.D8φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).2C2320,506
(D5×C2×C8).3C2 = C8.27(C4×D5)φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).3C2320,507
(D5×C2×C8).4C2 = D102Q16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).4C2320,514
(D5×C2×C8).5C2 = D103Q16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).5C2320,815
(D5×C2×C8).6C2 = C2×D5×Q16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).6C2320,1435
(D5×C2×C8).7C2 = D5×C4.Q8φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).7C2320,486
(D5×C2×C8).8C2 = (C8×D5)⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).8C2320,487
(D5×C2×C8).9C2 = D101C16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).9C2320,65
(D5×C2×C8).10C2 = D10⋊C16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).10C2320,225
(D5×C2×C8).11C2 = D10.3M4(2)φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8).11C2320,230
(D5×C2×C8).12C2 = D10.10D8φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8).12C2320,231
(D5×C2×C8).13C2 = C20.10C42φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).13C2320,234
(D5×C2×C8).14C2 = D10.5C42φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).14C2320,316
(D5×C2×C8).15C2 = D5×Q8⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).15C2320,428
(D5×C2×C8).16C2 = D10⋊Q16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).16C2320,440
(D5×C2×C8).17C2 = D5×C4⋊C8φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).17C2320,459
(D5×C2×C8).18C2 = C42.30D10φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).18C2320,466
(D5×C2×C8).19C2 = C2×C80⋊C2φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).19C2320,527
(D5×C2×C8).20C2 = C2×D5.D8φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8).20C2320,1058
(D5×C2×C8).21C2 = C2×D10.Q8φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).21C2320,1061
(D5×C2×C8).22C2 = (C2×C8)⋊6F5φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8).22C2320,1059
(D5×C2×C8).23C2 = (C8×D5).C4φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8).23C2320,1062
(D5×C2×C8).24C2 = C2×C40⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8).24C2320,1057
(D5×C2×C8).25C2 = C2×C40.C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).25C2320,1060
(D5×C2×C8).26C2 = D5×C8⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).26C2320,331
(D5×C2×C8).27C2 = D10.7C42φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).27C2320,335
(D5×C2×C8).28C2 = D5×M5(2)φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8).28C2320,533
(D5×C2×C8).29C2 = C2×D5⋊C16φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).29C2320,1051
(D5×C2×C8).30C2 = C2×C8.F5φ: C2/C1C2 ⊆ Out D5×C2×C8160(D5xC2xC8).30C2320,1052
(D5×C2×C8).31C2 = D5⋊M5(2)φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8).31C2320,1053
(D5×C2×C8).32C2 = C2×C8×F5φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8).32C2320,1054
(D5×C2×C8).33C2 = C2×C8⋊F5φ: C2/C1C2 ⊆ Out D5×C2×C880(D5xC2xC8).33C2320,1055
(D5×C2×C8).34C2 = C20.12C42φ: C2/C1C2 ⊆ Out D5×C2×C8804(D5xC2xC8).34C2320,1056
(D5×C2×C8).35C2 = D5×C4×C8φ: trivial image160(D5xC2xC8).35C2320,311
(D5×C2×C8).36C2 = D5×C2×C16φ: trivial image160(D5xC2xC8).36C2320,526

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