# Extensions 1→N→G→Q→1 with N=C22×D4 and Q=C14

Direct product G=N×Q with N=C22×D4 and Q=C14
dρLabelID
D4×C22×C14224D4xC2^2xC14448,1386

Semidirect products G=N:Q with N=C22×D4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C22×D4)⋊1C14 = C7×C232D4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4):1C14448,800
(C22×D4)⋊2C14 = C7×C22⋊D8φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):2C14448,855
(C22×D4)⋊3C14 = C14×C22≀C2φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):3C14448,1304
(C22×D4)⋊4C14 = C14×C4⋊D4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4):4C14448,1305
(C22×D4)⋊5C14 = C14×C41D4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4):5C14448,1313
(C22×D4)⋊6C14 = C7×C233D4φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):6C14448,1317
(C22×D4)⋊7C14 = C7×C22.29C24φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):7C14448,1318
(C22×D4)⋊8C14 = C7×D42φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):8C14448,1328
(C22×D4)⋊9C14 = C7×D45D4φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):9C14448,1329
(C22×D4)⋊10C14 = D8×C2×C14φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4):10C14448,1352
(C22×D4)⋊11C14 = C14×C8⋊C22φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):11C14448,1356
(C22×D4)⋊12C14 = C14×2+ 1+4φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4):12C14448,1389
(C22×D4)⋊13C14 = C4○D4×C2×C14φ: trivial image224(C2^2xD4):13C14448,1388

Non-split extensions G=N.Q with N=C22×D4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C22×D4).1C14 = C7×C23.23D4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4).1C14448,794
(C22×D4).2C14 = C7×C24.3C22φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4).2C14448,798
(C22×D4).3C14 = C7×C23.10D4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4).3C14448,802
(C22×D4).4C14 = C14×C23⋊C4φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4).4C14448,817
(C22×D4).5C14 = C14×C4.D4φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4).5C14448,819
(C22×D4).6C14 = C14×D4⋊C4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4).6C14448,822
(C22×D4).7C14 = C7×C23.37D4φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4).7C14448,826
(C22×D4).8C14 = C7×C22⋊SD16φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4).8C14448,858
(C22×D4).9C14 = C7×C22.11C24φ: C14/C7C2 ⊆ Out C22×D4112(C2^2xD4).9C14448,1301
(C22×D4).10C14 = C14×C22.D4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4).10C14448,1307
(C22×D4).11C14 = C14×C4.4D4φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4).11C14448,1309
(C22×D4).12C14 = SD16×C2×C14φ: C14/C7C2 ⊆ Out C22×D4224(C2^2xD4).12C14448,1353
(C22×D4).13C14 = D4×C2×C28φ: trivial image224(C2^2xD4).13C14448,1298

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