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Extensions 1→N→G→Q→1 with N=C5×C22.D4 and Q=C2

Direct product G=N×Q with N=C5×C22.D4 and Q=C2
dρLabelID
C10×C22.D4160C10xC2^2.D4320,1526

Semidirect products G=N:Q with N=C5×C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22.D4)⋊1C2 = C22⋊C4⋊D10φ: C2/C1 → C2 ⊆ Out C5×C22.D4804(C5xC2^2.D4):1C2320,680
(C5×C22.D4)⋊2C2 = C10.792- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):2C2320,1320
(C5×C22.D4)⋊3C2 = C4⋊C4.197D10φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):3C2320,1321
(C5×C22.D4)⋊4C2 = D5×C22.D4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):4C2320,1324
(C5×C22.D4)⋊5C2 = C10.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):5C2320,1325
(C5×C22.D4)⋊6C2 = C10.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):6C2320,1326
(C5×C22.D4)⋊7C2 = C10.822- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):7C2320,1327
(C5×C22.D4)⋊8C2 = C4⋊C4⋊28D10φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):8C2320,1328
(C5×C22.D4)⋊9C2 = C10.612+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):9C2320,1329
(C5×C22.D4)⋊10C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):10C2320,1330
(C5×C22.D4)⋊11C2 = C10.622+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):11C2320,1331
(C5×C22.D4)⋊12C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):12C2320,1332
(C5×C22.D4)⋊13C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):13C2320,1333
(C5×C22.D4)⋊14C2 = C10.842- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):14C2320,1334
(C5×C22.D4)⋊15C2 = C10.662+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):15C2320,1335
(C5×C22.D4)⋊16C2 = C10.672+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):16C2320,1336
(C5×C22.D4)⋊17C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):17C2320,1337
(C5×C22.D4)⋊18C2 = C10.682+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):18C2320,1338
(C5×C22.D4)⋊19C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):19C2320,1339
(C5×C22.D4)⋊20C2 = C5×C23.7D4φ: C2/C1 → C2 ⊆ Out C5×C22.D4804(C5xC2^2.D4):20C2320,959
(C5×C22.D4)⋊21C2 = C5×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):21C2320,1536
(C5×C22.D4)⋊22C2 = C5×C23.38C23φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):22C2320,1538
(C5×C22.D4)⋊23C2 = C5×C22.32C24φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):23C2320,1540
(C5×C22.D4)⋊24C2 = C5×C22.33C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):24C2320,1541
(C5×C22.D4)⋊25C2 = C5×C22.34C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):25C2320,1542
(C5×C22.D4)⋊26C2 = C5×C22.36C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):26C2320,1544
(C5×C22.D4)⋊27C2 = C5×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):27C2320,1548
(C5×C22.D4)⋊28C2 = C5×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):28C2320,1549
(C5×C22.D4)⋊29C2 = C5×C22.45C24φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):29C2320,1553
(C5×C22.D4)⋊30C2 = C5×C22.47C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):30C2320,1555
(C5×C22.D4)⋊31C2 = C5×C22.53C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):31C2320,1561
(C5×C22.D4)⋊32C2 = C5×C22.54C24φ: C2/C1 → C2 ⊆ Out C5×C22.D480(C5xC2^2.D4):32C2320,1562
(C5×C22.D4)⋊33C2 = C5×C22.56C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4):33C2320,1564
(C5×C22.D4)⋊34C2 = C5×C22.19C24φ: trivial image80(C5xC2^2.D4):34C2320,1527
(C5×C22.D4)⋊35C2 = C5×C23.36C23φ: trivial image160(C5xC2^2.D4):35C2320,1531

Non-split extensions G=N.Q with N=C5×C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22.D4).1C2 = (C22×C20)⋊C4φ: C2/C1 → C2 ⊆ Out C5×C22.D4804(C5xC2^2.D4).1C2320,97
(C5×C22.D4).2C2 = C10.802- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4).2C2320,1322
(C5×C22.D4).3C2 = C10.812- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4).3C2320,1323
(C5×C22.D4).4C2 = C5×C23.D4φ: C2/C1 → C2 ⊆ Out C5×C22.D4804(C5xC2^2.D4).4C2320,157
(C5×C22.D4).5C2 = C5×C22.46C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4).5C2320,1554
(C5×C22.D4).6C2 = C5×C22.57C24φ: C2/C1 → C2 ⊆ Out C5×C22.D4160(C5xC2^2.D4).6C2320,1565

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