# Extensions 1→N→G→Q→1 with N=Q8⋊2D7 and Q=C22

Direct product G=N×Q with N=Q82D7 and Q=C22
dρLabelID
C22×Q82D7224C2^2xQ8:2D7448,1373

Semidirect products G=N:Q with N=Q82D7 and Q=C22
extensionφ:Q→Out NdρLabelID
Q82D71C22 = D28.29D4φ: C22/C1C22 ⊆ Out Q82D71124Q8:2D7:1C2^2448,1215
Q82D72C22 = D815D14φ: C22/C1C22 ⊆ Out Q82D71124+Q8:2D7:2C2^2448,1222
Q82D73C22 = D85D14φ: C22/C1C22 ⊆ Out Q82D71128+Q8:2D7:3C2^2448,1227
Q82D74C22 = C56.C23φ: C22/C1C22 ⊆ Out Q82D71128+Q8:2D7:4C2^2448,1231
Q82D75C22 = C2×D56⋊C2φ: C22/C2C2 ⊆ Out Q82D7112Q8:2D7:5C2^2448,1212
Q82D76C22 = C2×SD163D7φ: C22/C2C2 ⊆ Out Q82D7224Q8:2D7:6C2^2448,1214
Q82D77C22 = C2×Q8.D14φ: C22/C2C2 ⊆ Out Q82D7224Q8:2D7:7C2^2448,1218
Q82D78C22 = D7×C4○D8φ: C22/C2C2 ⊆ Out Q82D71124Q8:2D7:8C2^2448,1220
Q82D79C22 = D7×C8⋊C22φ: C22/C2C2 ⊆ Out Q82D7568+Q8:2D7:9C2^2448,1225
Q82D710C22 = SD16⋊D14φ: C22/C2C2 ⊆ Out Q82D71128-Q8:2D7:10C2^2448,1226
Q82D711C22 = D56⋊C22φ: C22/C2C2 ⊆ Out Q82D71128+Q8:2D7:11C2^2448,1230
Q82D712C22 = C2×Q8.10D14φ: C22/C2C2 ⊆ Out Q82D7224Q8:2D7:12C2^2448,1374
Q82D713C22 = C2×D48D14φ: C22/C2C2 ⊆ Out Q82D7112Q8:2D7:13C2^2448,1376
Q82D714C22 = C14.C25φ: C22/C2C2 ⊆ Out Q82D71124Q8:2D7:14C2^2448,1378
Q82D715C22 = D7×2+ 1+4φ: C22/C2C2 ⊆ Out Q82D7568+Q8:2D7:15C2^2448,1379
Q82D716C22 = D7×2- 1+4φ: C22/C2C2 ⊆ Out Q82D71128-Q8:2D7:16C2^2448,1381
Q82D717C22 = D28.39C23φ: C22/C2C2 ⊆ Out Q82D71128+Q8:2D7:17C2^2448,1382
Q82D718C22 = C2×D7×C4○D4φ: trivial image112Q8:2D7:18C2^2448,1375
Q82D719C22 = D14.C24φ: trivial image1128-Q8:2D7:19C2^2448,1380

Non-split extensions G=N.Q with N=Q82D7 and Q=C22
extensionφ:Q→Out NdρLabelID
Q82D7.1C22 = D28.30D4φ: C22/C1C22 ⊆ Out Q82D72244Q8:2D7.1C2^2448,1219
Q82D7.2C22 = D811D14φ: C22/C1C22 ⊆ Out Q82D71124Q8:2D7.2C2^2448,1223
Q82D7.3C22 = D28.44D4φ: C22/C1C22 ⊆ Out Q82D72248-Q8:2D7.3C2^2448,1232
Q82D7.4C22 = C2×Q16⋊D7φ: C22/C2C2 ⊆ Out Q82D7224Q8:2D7.4C2^2448,1217
Q82D7.5C22 = D810D14φ: C22/C2C2 ⊆ Out Q82D71124Q8:2D7.5C2^2448,1221
Q82D7.6C22 = D7×C8.C22φ: C22/C2C2 ⊆ Out Q82D71128-Q8:2D7.6C2^2448,1229

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