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Extensions 1→N→G→Q→1 with N=C4xD4 and Q=C6

Direct product G=NxQ with N=C4xD4 and Q=C6
dρLabelID
D4xC2xC1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=C4xD4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4xD4):1C6 = C12xD8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):1C6192,870
(C4xD4):2C6 = C3xD8:C4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):2C6192,875
(C4xD4):3C6 = C3xC4:D8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):3C6192,892
(C4xD4):4C6 = C3xD4.2D4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):4C6192,896
(C4xD4):5C6 = C3xC22.11C24φ: C6/C3 → C2 ⊆ Out C4xD448(C4xD4):5C6192,1407
(C4xD4):6C6 = C3xC23.33C23φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):6C6192,1409
(C4xD4):7C6 = C3xC22.19C24φ: C6/C3 → C2 ⊆ Out C4xD448(C4xD4):7C6192,1414
(C4xD4):8C6 = C3xC23.36C23φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):8C6192,1418
(C4xD4):9C6 = C3xC22.26C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):9C6192,1421
(C4xD4):10C6 = C3xC22.32C24φ: C6/C3 → C2 ⊆ Out C4xD448(C4xD4):10C6192,1427
(C4xD4):11C6 = C3xC22.33C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):11C6192,1428
(C4xD4):12C6 = C3xC22.34C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):12C6192,1429
(C4xD4):13C6 = C3xC22.36C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):13C6192,1431
(C4xD4):14C6 = C3xD42φ: C6/C3 → C2 ⊆ Out C4xD448(C4xD4):14C6192,1434
(C4xD4):15C6 = C3xD4:5D4φ: C6/C3 → C2 ⊆ Out C4xD448(C4xD4):15C6192,1435
(C4xD4):16C6 = C3xD4:6D4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):16C6192,1436
(C4xD4):17C6 = C3xQ8:5D4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):17C6192,1437
(C4xD4):18C6 = C3xQ8:6D4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):18C6192,1439
(C4xD4):19C6 = C3xC22.45C24φ: C6/C3 → C2 ⊆ Out C4xD448(C4xD4):19C6192,1440
(C4xD4):20C6 = C3xC22.47C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):20C6192,1442
(C4xD4):21C6 = C3xC22.49C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):21C6192,1444
(C4xD4):22C6 = C3xC22.53C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4):22C6192,1448
(C4xD4):23C6 = C12xC4oD4φ: trivial image96(C4xD4):23C6192,1406

Non-split extensions G=N.Q with N=C4xD4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4xD4).1C6 = C3xD4:C8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).1C6192,131
(C4xD4).2C6 = C3xC8:9D4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).2C6192,868
(C4xD4).3C6 = C3xC8:6D4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).3C6192,869
(C4xD4).4C6 = C12xSD16φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).4C6192,871
(C4xD4).5C6 = C3xSD16:C4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).5C6192,873
(C4xD4).6C6 = C3xD4.D4φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).6C6192,894
(C4xD4).7C6 = C3xD4:Q8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).7C6192,907
(C4xD4).8C6 = C3xD4:2Q8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).8C6192,909
(C4xD4).9C6 = C3xD4.Q8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).9C6192,911
(C4xD4).10C6 = C3xD4xQ8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).10C6192,1438
(C4xD4).11C6 = C3xC22.46C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).11C6192,1441
(C4xD4).12C6 = C3xD4:3Q8φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).12C6192,1443
(C4xD4).13C6 = C3xC22.50C24φ: C6/C3 → C2 ⊆ Out C4xD496(C4xD4).13C6192,1445
(C4xD4).14C6 = D4xC24φ: trivial image96(C4xD4).14C6192,867

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