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Extensions 1→N→G→Q→1 with N=C5×C4.4D4 and Q=C2

Direct product G=N×Q with N=C5×C4.4D4 and Q=C2
dρLabelID
C10×C4.4D4160C10xC4.4D4320,1528

Semidirect products G=N:Q with N=C5×C4.4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.4D4)⋊1C2 = D20.23D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):1C2320,684
(C5×C4.4D4)⋊2C2 = C42.64D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):2C2320,685
(C5×C4.4D4)⋊3C2 = C42.214D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):3C2320,686
(C5×C4.4D4)⋊4C2 = C42⋊5D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4):4C2320,688
(C5×C4.4D4)⋊5C2 = D20.14D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4):5C2320,689
(C5×C4.4D4)⋊6C2 = C42.233D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):6C2320,1340
(C5×C4.4D4)⋊7C2 = C42.137D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):7C2320,1341
(C5×C4.4D4)⋊8C2 = C42.138D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):8C2320,1342
(C5×C4.4D4)⋊9C2 = D5×C4.4D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):9C2320,1345
(C5×C4.4D4)⋊10C2 = C42⋊18D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):10C2320,1346
(C5×C4.4D4)⋊11C2 = C42.141D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):11C2320,1347
(C5×C4.4D4)⋊12C2 = D20⋊10D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):12C2320,1348
(C5×C4.4D4)⋊13C2 = Dic10⋊10D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):13C2320,1349
(C5×C4.4D4)⋊14C2 = C42⋊20D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):14C2320,1350
(C5×C4.4D4)⋊15C2 = C42⋊21D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):15C2320,1351
(C5×C4.4D4)⋊16C2 = C42.234D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):16C2320,1352
(C5×C4.4D4)⋊17C2 = C42.143D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):17C2320,1353
(C5×C4.4D4)⋊18C2 = C42.144D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):18C2320,1354
(C5×C4.4D4)⋊19C2 = C42⋊22D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):19C2320,1355
(C5×C4.4D4)⋊20C2 = C42.145D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):20C2320,1356
(C5×C4.4D4)⋊21C2 = C5×D4.8D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4):21C2320,955
(C5×C4.4D4)⋊22C2 = C5×D4.9D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4):22C2320,956
(C5×C4.4D4)⋊23C2 = C5×D4.2D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):23C2320,964
(C5×C4.4D4)⋊24C2 = C5×C8.12D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):24C2320,996
(C5×C4.4D4)⋊25C2 = C5×C8⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):25C2320,997
(C5×C4.4D4)⋊26C2 = C5×C22.29C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):26C2320,1537
(C5×C4.4D4)⋊27C2 = C5×C23.38C23φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):27C2320,1538
(C5×C4.4D4)⋊28C2 = C5×C22.32C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):28C2320,1540
(C5×C4.4D4)⋊29C2 = C5×C22.36C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):29C2320,1544
(C5×C4.4D4)⋊30C2 = C5×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):30C2320,1548
(C5×C4.4D4)⋊31C2 = C5×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):31C2320,1550
(C5×C4.4D4)⋊32C2 = C5×C22.45C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):32C2320,1553
(C5×C4.4D4)⋊33C2 = C5×C22.49C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):33C2320,1557
(C5×C4.4D4)⋊34C2 = C5×C22.53C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):34C2320,1561
(C5×C4.4D4)⋊35C2 = C5×C24⋊C22φ: C2/C1 → C2 ⊆ Out C5×C4.4D480(C5xC4.4D4):35C2320,1563
(C5×C4.4D4)⋊36C2 = C5×C22.56C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4):36C2320,1564
(C5×C4.4D4)⋊37C2 = C5×C23.36C23φ: trivial image160(C5xC4.4D4):37C2320,1531
(C5×C4.4D4)⋊38C2 = C5×C22.26C24φ: trivial image160(C5xC4.4D4):38C2320,1534

Non-split extensions G=N.Q with N=C5×C4.4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.4D4).1C2 = C42.Dic5φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4).1C2320,100
(C5×C4.4D4).2C2 = C42.61D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).2C2320,681
(C5×C4.4D4).3C2 = C42.62D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).3C2320,682
(C5×C4.4D4).4C2 = C42.213D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).4C2320,683
(C5×C4.4D4).5C2 = C42.65D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).5C2320,687
(C5×C4.4D4).6C2 = C42.139D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).6C2320,1343
(C5×C4.4D4).7C2 = C42.140D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).7C2320,1344
(C5×C4.4D4).8C2 = C42.7D10φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).8C2320,98
(C5×C4.4D4).9C2 = C42⋊Dic5φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4).9C2320,99
(C5×C4.4D4).10C2 = C5×C42.C22φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).10C2320,134
(C5×C4.4D4).11C2 = C5×C42⋊3C4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4).11C2320,159
(C5×C4.4D4).12C2 = C5×C42.C4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4804(C5xC4.4D4).12C2320,160
(C5×C4.4D4).13C2 = C5×Q8.D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).13C2320,965
(C5×C4.4D4).14C2 = C5×C42.78C22φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).14C2320,989
(C5×C4.4D4).15C2 = C5×C42.28C22φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).15C2320,990
(C5×C4.4D4).16C2 = C5×C8.2D4φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).16C2320,998
(C5×C4.4D4).17C2 = C5×C22.50C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).17C2320,1558
(C5×C4.4D4).18C2 = C5×C22.57C24φ: C2/C1 → C2 ⊆ Out C5×C4.4D4160(C5xC4.4D4).18C2320,1565

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