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Extensions 1→N→G→Q→1 with N=C6×C4○D4 and Q=C2

Direct product G=N×Q with N=C6×C4○D4 and Q=C2
dρLabelID
C2×C6×C4○D496C2xC6xC4oD4192,1533

Semidirect products G=N:Q with N=C6×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C4○D4)⋊1C2 = (C3×D4)⋊14D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):1C2192,797
(C6×C4○D4)⋊2C2 = C2×D4⋊D6φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):2C2192,1379
(C6×C4○D4)⋊3C2 = C2×Q8.13D6φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):3C2192,1380
(C6×C4○D4)⋊4C2 = C12.C24φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4):4C2192,1381
(C6×C4○D4)⋊5C2 = C6.1042- 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):5C2192,1383
(C6×C4○D4)⋊6C2 = (C2×D4)⋊43D6φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):6C2192,1387
(C6×C4○D4)⋊7C2 = C6.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):7C2192,1388
(C6×C4○D4)⋊8C2 = C6.1462+ 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):8C2192,1389
(C6×C4○D4)⋊9C2 = C6.1072- 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):9C2192,1390
(C6×C4○D4)⋊10C2 = (C2×C12)⋊17D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):10C2192,1391
(C6×C4○D4)⋊11C2 = C6.1082- 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):11C2192,1392
(C6×C4○D4)⋊12C2 = C6.1482+ 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):12C2192,1393
(C6×C4○D4)⋊13C2 = C2×S3×C4○D4φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):13C2192,1520
(C6×C4○D4)⋊14C2 = C2×D4○D12φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):14C2192,1521
(C6×C4○D4)⋊15C2 = C2×Q8○D12φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):15C2192,1522
(C6×C4○D4)⋊16C2 = C6.C25φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4):16C2192,1523
(C6×C4○D4)⋊17C2 = C3×D4⋊D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):17C2192,882
(C6×C4○D4)⋊18C2 = C3×C22.19C24φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):18C2192,1414
(C6×C4○D4)⋊19C2 = C3×C22.26C24φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):19C2192,1421
(C6×C4○D4)⋊20C2 = C3×C22.29C24φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):20C2192,1424
(C6×C4○D4)⋊21C2 = C3×C22.31C24φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):21C2192,1426
(C6×C4○D4)⋊22C2 = C3×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):22C2192,1435
(C6×C4○D4)⋊23C2 = C3×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):23C2192,1436
(C6×C4○D4)⋊24C2 = C3×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):24C2192,1437
(C6×C4○D4)⋊25C2 = C3×Q8⋊6D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):25C2192,1439
(C6×C4○D4)⋊26C2 = C6×C4○D8φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):26C2192,1461
(C6×C4○D4)⋊27C2 = C6×C8⋊C22φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):27C2192,1462
(C6×C4○D4)⋊28C2 = C3×D8⋊C22φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4):28C2192,1464
(C6×C4○D4)⋊29C2 = C6×2+ 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4):29C2192,1534
(C6×C4○D4)⋊30C2 = C6×2- 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4):30C2192,1535
(C6×C4○D4)⋊31C2 = C3×C2.C25φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4):31C2192,1536

Non-split extensions G=N.Q with N=C6×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C4○D4).1C2 = C4○D4⋊3Dic3φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).1C2192,791
(C6×C4○D4).2C2 = C4○D4⋊4Dic3φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).2C2192,792
(C6×C4○D4).3C2 = (C6×D4).11C4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).3C2192,793
(C6×C4○D4).4C2 = C2×Q8⋊3Dic3φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4).4C2192,794
(C6×C4○D4).5C2 = (C6×D4)⋊9C4φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).5C2192,795
(C6×C4○D4).6C2 = (C6×D4).16C4φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).6C2192,796
(C6×C4○D4).7C2 = (C3×D4).32D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).7C2192,798
(C6×C4○D4).8C2 = (C6×D4)⋊10C4φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).8C2192,799
(C6×C4○D4).9C2 = C2×D4.Dic3φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).9C2192,1377
(C6×C4○D4).10C2 = C12.76C24φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).10C2192,1378
(C6×C4○D4).11C2 = C2×Q8.14D6φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).11C2192,1382
(C6×C4○D4).12C2 = C6.1052- 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).12C2192,1384
(C6×C4○D4).13C2 = Dic3×C4○D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).13C2192,1385
(C6×C4○D4).14C2 = C6.1442+ 1+4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).14C2192,1386
(C6×C4○D4).15C2 = C3×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).15C2192,841
(C6×C4○D4).16C2 = C3×C23.C23φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).16C2192,843
(C6×C4○D4).17C2 = C3×M4(2).8C22φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).17C2192,846
(C6×C4○D4).18C2 = C3×C23.24D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).18C2192,849
(C6×C4○D4).19C2 = C3×C23.36D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).19C2192,850
(C6×C4○D4).20C2 = C6×C4≀C2φ: C2/C1 → C2 ⊆ Out C6×C4○D448(C6xC4oD4).20C2192,853
(C6×C4○D4).21C2 = C3×C42⋊C22φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).21C2192,854
(C6×C4○D4).22C2 = C3×D4.7D4φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).22C2192,885
(C6×C4○D4).23C2 = C3×C23.33C23φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).23C2192,1409
(C6×C4○D4).24C2 = C3×C23.38C23φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).24C2192,1425
(C6×C4○D4).25C2 = C3×Q8○M4(2)φ: C2/C1 → C2 ⊆ Out C6×C4○D4484(C6xC4oD4).25C2192,1457
(C6×C4○D4).26C2 = C6×C8.C22φ: C2/C1 → C2 ⊆ Out C6×C4○D496(C6xC4oD4).26C2192,1463
(C6×C4○D4).27C2 = C12×C4○D4φ: trivial image96(C6xC4oD4).27C2192,1406
(C6×C4○D4).28C2 = C6×C8○D4φ: trivial image96(C6xC4oD4).28C2192,1456

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