# Extensions 1→N→G→Q→1 with N=D14 and Q=C24

Direct product G=N×Q with N=D14 and Q=C24
dρLabelID
D7×C25224D7xC2^5448,1395

Semidirect products G=N:Q with N=D14 and Q=C24
extensionφ:Q→Out NdρLabelID
D141C24 = C23×D28φ: C24/C23C2 ⊆ Out D14224D14:1C2^4448,1367
D142C24 = C22×D4×D7φ: C24/C23C2 ⊆ Out D14112D14:2C2^4448,1369
D143C24 = C23×C7⋊D4φ: C24/C23C2 ⊆ Out D14224D14:3C2^4448,1384

Non-split extensions G=N.Q with N=D14 and Q=C24
extensionφ:Q→Out NdρLabelID
D14.1C24 = C22×C4○D28φ: C24/C23C2 ⊆ Out D14224D14.1C2^4448,1368
D14.2C24 = C22×D42D7φ: C24/C23C2 ⊆ Out D14224D14.2C2^4448,1370
D14.3C24 = C2×D46D14φ: C24/C23C2 ⊆ Out D14112D14.3C2^4448,1371
D14.4C24 = C22×Q82D7φ: C24/C23C2 ⊆ Out D14224D14.4C2^4448,1373
D14.5C24 = C2×Q8.10D14φ: C24/C23C2 ⊆ Out D14224D14.5C2^4448,1374
D14.6C24 = C2×D48D14φ: C24/C23C2 ⊆ Out D14112D14.6C2^4448,1376
D14.7C24 = C2×D4.10D14φ: C24/C23C2 ⊆ Out D14224D14.7C2^4448,1377
D14.8C24 = C14.C25φ: C24/C23C2 ⊆ Out D141124D14.8C2^4448,1378
D14.9C24 = D14.C24φ: C24/C23C2 ⊆ Out D141128-D14.9C2^4448,1380
D14.10C24 = D28.39C23φ: C24/C23C2 ⊆ Out D141128+D14.10C2^4448,1382
D14.11C24 = D7×C23×C4φ: trivial image224D14.11C2^4448,1366
D14.12C24 = C22×Q8×D7φ: trivial image224D14.12C2^4448,1372
D14.13C24 = C2×D7×C4○D4φ: trivial image112D14.13C2^4448,1375
D14.14C24 = D7×2+ 1+4φ: trivial image568+D14.14C2^4448,1379
D14.15C24 = D7×2- 1+4φ: trivial image1128-D14.15C2^4448,1381

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