# Extensions 1→N→G→Q→1 with N=C22×D4 and Q=C6

Direct product G=N×Q with N=C22×D4 and Q=C6
dρLabelID
D4×C22×C696D4xC2^2xC6192,1531

Semidirect products G=N:Q with N=C22×D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×D4)⋊C6 = A4×D8φ: C6/C1C6 ⊆ Out C22×D4246+(C2^2xD4):C6192,1014
(C22×D4)⋊2C6 = C2×D4×A4φ: C6/C2C3 ⊆ Out C22×D424(C2^2xD4):2C6192,1497
(C22×D4)⋊3C6 = A4×C4○D4φ: C6/C2C3 ⊆ Out C22×D4246(C2^2xD4):3C6192,1501
(C22×D4)⋊4C6 = C3×C232D4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4):4C6192,825
(C22×D4)⋊5C6 = C3×C22⋊D8φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):5C6192,880
(C22×D4)⋊6C6 = C6×C22≀C2φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):6C6192,1410
(C22×D4)⋊7C6 = C6×C4⋊D4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4):7C6192,1411
(C22×D4)⋊8C6 = C6×C41D4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4):8C6192,1419
(C22×D4)⋊9C6 = C3×C233D4φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):9C6192,1423
(C22×D4)⋊10C6 = C3×C22.29C24φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):10C6192,1424
(C22×D4)⋊11C6 = C3×D42φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):11C6192,1434
(C22×D4)⋊12C6 = C3×D45D4φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):12C6192,1435
(C22×D4)⋊13C6 = C2×C6×D8φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4):13C6192,1458
(C22×D4)⋊14C6 = C6×C8⋊C22φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):14C6192,1462
(C22×D4)⋊15C6 = C6×2+ 1+4φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4):15C6192,1534
(C22×D4)⋊16C6 = C2×C6×C4○D4φ: trivial image96(C2^2xD4):16C6192,1533

Non-split extensions G=N.Q with N=C22×D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×D4).C6 = A4×SD16φ: C6/C1C6 ⊆ Out C22×D4246(C2^2xD4).C6192,1015
(C22×D4).2C6 = C3×C23.23D4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4).2C6192,819
(C22×D4).3C6 = C3×C24.3C22φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4).3C6192,823
(C22×D4).4C6 = C3×C23.10D4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4).4C6192,827
(C22×D4).5C6 = C6×C23⋊C4φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4).5C6192,842
(C22×D4).6C6 = C6×C4.D4φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4).6C6192,844
(C22×D4).7C6 = C6×D4⋊C4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4).7C6192,847
(C22×D4).8C6 = C3×C23.37D4φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4).8C6192,851
(C22×D4).9C6 = C3×C22⋊SD16φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4).9C6192,883
(C22×D4).10C6 = C3×C22.11C24φ: C6/C3C2 ⊆ Out C22×D448(C2^2xD4).10C6192,1407
(C22×D4).11C6 = C6×C22.D4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4).11C6192,1413
(C22×D4).12C6 = C6×C4.4D4φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4).12C6192,1415
(C22×D4).13C6 = C2×C6×SD16φ: C6/C3C2 ⊆ Out C22×D496(C2^2xD4).13C6192,1459
(C22×D4).14C6 = D4×C2×C12φ: trivial image96(C2^2xD4).14C6192,1404

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