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

Direct product G=N×Q with N=C4×D4 and Q=C6
dρLabelID
D4×C2×C1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=C4×D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4×D4)⋊1C6 = C12×D8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):1C6192,870
(C4×D4)⋊2C6 = C3×D8⋊C4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):2C6192,875
(C4×D4)⋊3C6 = C3×C4⋊D8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):3C6192,892
(C4×D4)⋊4C6 = C3×D4.2D4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):4C6192,896
(C4×D4)⋊5C6 = C3×C22.11C24φ: C6/C3C2 ⊆ Out C4×D448(C4xD4):5C6192,1407
(C4×D4)⋊6C6 = C3×C23.33C23φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):6C6192,1409
(C4×D4)⋊7C6 = C3×C22.19C24φ: C6/C3C2 ⊆ Out C4×D448(C4xD4):7C6192,1414
(C4×D4)⋊8C6 = C3×C23.36C23φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):8C6192,1418
(C4×D4)⋊9C6 = C3×C22.26C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):9C6192,1421
(C4×D4)⋊10C6 = C3×C22.32C24φ: C6/C3C2 ⊆ Out C4×D448(C4xD4):10C6192,1427
(C4×D4)⋊11C6 = C3×C22.33C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):11C6192,1428
(C4×D4)⋊12C6 = C3×C22.34C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):12C6192,1429
(C4×D4)⋊13C6 = C3×C22.36C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):13C6192,1431
(C4×D4)⋊14C6 = C3×D42φ: C6/C3C2 ⊆ Out C4×D448(C4xD4):14C6192,1434
(C4×D4)⋊15C6 = C3×D45D4φ: C6/C3C2 ⊆ Out C4×D448(C4xD4):15C6192,1435
(C4×D4)⋊16C6 = C3×D46D4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):16C6192,1436
(C4×D4)⋊17C6 = C3×Q85D4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):17C6192,1437
(C4×D4)⋊18C6 = C3×Q86D4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):18C6192,1439
(C4×D4)⋊19C6 = C3×C22.45C24φ: C6/C3C2 ⊆ Out C4×D448(C4xD4):19C6192,1440
(C4×D4)⋊20C6 = C3×C22.47C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):20C6192,1442
(C4×D4)⋊21C6 = C3×C22.49C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):21C6192,1444
(C4×D4)⋊22C6 = C3×C22.53C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4):22C6192,1448
(C4×D4)⋊23C6 = C12×C4○D4φ: trivial image96(C4xD4):23C6192,1406

Non-split extensions G=N.Q with N=C4×D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4×D4).1C6 = C3×D4⋊C8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).1C6192,131
(C4×D4).2C6 = C3×C89D4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).2C6192,868
(C4×D4).3C6 = C3×C86D4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).3C6192,869
(C4×D4).4C6 = C12×SD16φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).4C6192,871
(C4×D4).5C6 = C3×SD16⋊C4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).5C6192,873
(C4×D4).6C6 = C3×D4.D4φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).6C6192,894
(C4×D4).7C6 = C3×D4⋊Q8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).7C6192,907
(C4×D4).8C6 = C3×D42Q8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).8C6192,909
(C4×D4).9C6 = C3×D4.Q8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).9C6192,911
(C4×D4).10C6 = C3×D4×Q8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).10C6192,1438
(C4×D4).11C6 = C3×C22.46C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).11C6192,1441
(C4×D4).12C6 = C3×D43Q8φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).12C6192,1443
(C4×D4).13C6 = C3×C22.50C24φ: C6/C3C2 ⊆ Out C4×D496(C4xD4).13C6192,1445
(C4×D4).14C6 = D4×C24φ: trivial image96(C4xD4).14C6192,867

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