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Extensions 1→N→G→Q→1 with N=Q8×C2×C6 and Q=C2

Direct product G=N×Q with N=Q8×C2×C6 and Q=C2
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=Q8×C2×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C2×C6)⋊1C2 = (C3×Q8)⋊13D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):1C2192,786
(Q8×C2×C6)⋊2C2 = C22×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):2C2192,1366
(Q8×C2×C6)⋊3C2 = C2×Q8.11D6φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):3C2192,1367
(Q8×C2×C6)⋊4C2 = C2×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):4C2192,1372
(Q8×C2×C6)⋊5C2 = C2×C12.23D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):5C2192,1373
(Q8×C2×C6)⋊6C2 = Q8×C3⋊D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):6C2192,1374
(Q8×C2×C6)⋊7C2 = C6.442- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):7C2192,1375
(Q8×C2×C6)⋊8C2 = C6.452- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):8C2192,1376
(Q8×C2×C6)⋊9C2 = C22×S3×Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):9C2192,1517
(Q8×C2×C6)⋊10C2 = C22×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):10C2192,1518
(Q8×C2×C6)⋊11C2 = C2×Q8.15D6φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):11C2192,1519
(Q8×C2×C6)⋊12C2 = (C22×Q8)⋊9S3φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):12C2192,790
(Q8×C2×C6)⋊13C2 = C3×C23⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):13C2192,826
(Q8×C2×C6)⋊14C2 = C3×Q8⋊D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):14C2192,881
(Q8×C2×C6)⋊15C2 = C6×C22⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):15C2192,1412
(Q8×C2×C6)⋊16C2 = C6×C4.4D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):16C2192,1415
(Q8×C2×C6)⋊17C2 = C3×C23.38C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):17C2192,1425
(Q8×C2×C6)⋊18C2 = C3×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):18C2192,1437
(Q8×C2×C6)⋊19C2 = C3×D4×Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):19C2192,1438
(Q8×C2×C6)⋊20C2 = C2×C6×SD16φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):20C2192,1459
(Q8×C2×C6)⋊21C2 = C6×C8.C22φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):21C2192,1463
(Q8×C2×C6)⋊22C2 = C6×2- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6):22C2192,1535
(Q8×C2×C6)⋊23C2 = C2×C6×C4○D4φ: trivial image96(Q8xC2xC6):23C2192,1533

Non-split extensions G=N.Q with N=Q8×C2×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C2×C6).1C2 = C2×Q8⋊2Dic3φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).1C2192,783
(Q8×C2×C6).2C2 = (C6×Q8)⋊6C4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).2C2192,784
(Q8×C2×C6).3C2 = C2×C12.10D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).3C2192,785
(Q8×C2×C6).4C2 = (C2×C6)⋊8Q16φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).4C2192,787
(Q8×C2×C6).5C2 = (C6×Q8)⋊7C4φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).5C2192,788
(Q8×C2×C6).6C2 = C22×C3⋊Q16φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).6C2192,1368
(Q8×C2×C6).7C2 = C2×Dic3⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).7C2192,1369
(Q8×C2×C6).8C2 = C2×Q8×Dic3φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).8C2192,1370
(Q8×C2×C6).9C2 = C6.422- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).9C2192,1371
(Q8×C2×C6).10C2 = C22.52(S3×Q8)φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).10C2192,789
(Q8×C2×C6).11C2 = C3×C23.67C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).11C2192,824
(Q8×C2×C6).12C2 = C3×C23.78C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).12C2192,828
(Q8×C2×C6).13C2 = C6×C4.10D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).13C2192,845
(Q8×C2×C6).14C2 = C6×Q8⋊C4φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).14C2192,848
(Q8×C2×C6).15C2 = C3×C23.38D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).15C2192,852
(Q8×C2×C6).16C2 = C3×C22⋊Q16φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).16C2192,884
(Q8×C2×C6).17C2 = C3×C23.32C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C696(Q8xC2xC6).17C2192,1408
(Q8×C2×C6).18C2 = C6×C4⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).18C2192,1420
(Q8×C2×C6).19C2 = C2×C6×Q16φ: C2/C1 → C2 ⊆ Out Q8×C2×C6192(Q8xC2xC6).19C2192,1460
(Q8×C2×C6).20C2 = Q8×C2×C12φ: trivial image192(Q8xC2xC6).20C2192,1405

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