# Extensions 1→N→G→Q→1 with N=D4.D7 and Q=C22

Direct product G=N×Q with N=D4.D7 and Q=C22
dρLabelID
C22×D4.D7224C2^2xD4.D7448,1247

Semidirect products G=N:Q with N=D4.D7 and Q=C22
extensionφ:Q→Out NdρLabelID
D4.D71C22 = D813D14φ: C22/C1C22 ⊆ Out D4.D71124D4.D7:1C2^2448,1210
D4.D72C22 = D28.29D4φ: C22/C1C22 ⊆ Out D4.D71124D4.D7:2C2^2448,1215
D4.D73C22 = D811D14φ: C22/C1C22 ⊆ Out D4.D71124D4.D7:3C2^2448,1223
D4.D74C22 = D7×C8⋊C22φ: C22/C1C22 ⊆ Out D4.D7568+D4.D7:4C2^2448,1225
D4.D75C22 = SD16⋊D14φ: C22/C1C22 ⊆ Out D4.D71128-D4.D7:5C2^2448,1226
D4.D76C22 = D7×C8.C22φ: C22/C1C22 ⊆ Out D4.D71128-D4.D7:6C2^2448,1229
D4.D77C22 = C2×D8⋊D7φ: C22/C2C2 ⊆ Out D4.D7112D4.D7:7C2^2448,1208
D4.D78C22 = C2×D83D7φ: C22/C2C2 ⊆ Out D4.D7224D4.D7:8C2^2448,1209
D4.D79C22 = C2×D7×SD16φ: C22/C2C2 ⊆ Out D4.D7112D4.D7:9C2^2448,1211
D4.D710C22 = C2×SD16⋊D7φ: C22/C2C2 ⊆ Out D4.D7224D4.D7:10C2^2448,1213
D4.D711C22 = D7×C4○D8φ: C22/C2C2 ⊆ Out D4.D71124D4.D7:11C2^2448,1220
D4.D712C22 = D810D14φ: C22/C2C2 ⊆ Out D4.D71124D4.D7:12C2^2448,1221
D4.D713C22 = D85D14φ: C22/C2C2 ⊆ Out D4.D71128+D4.D7:13C2^2448,1227
D4.D714C22 = D86D14φ: C22/C2C2 ⊆ Out D4.D71128-D4.D7:14C2^2448,1228
D4.D715C22 = C56.C23φ: C22/C2C2 ⊆ Out D4.D71128+D4.D7:15C2^2448,1231
D4.D716C22 = C2×D4.D14φ: C22/C2C2 ⊆ Out D4.D7112D4.D7:16C2^2448,1246
D4.D717C22 = C28.C24φ: C22/C2C2 ⊆ Out D4.D71124D4.D7:17C2^2448,1275
D4.D718C22 = C2×D4.9D14φ: C22/C2C2 ⊆ Out D4.D7224D4.D7:18C2^2448,1276
D4.D719C22 = D28.32C23φ: C22/C2C2 ⊆ Out D4.D71128+D4.D7:19C2^2448,1288
D4.D720C22 = C2×D4.8D14φ: trivial image224D4.D7:20C2^2448,1274
D4.D721C22 = D28.33C23φ: trivial image1128-D4.D7:21C2^2448,1289
D4.D722C22 = D28.34C23φ: trivial image1128+D4.D7:22C2^2448,1290

Non-split extensions G=N.Q with N=D4.D7 and Q=C22
extensionφ:Q→Out NdρLabelID
D4.D7.C22 = D8.10D14φ: C22/C1C22 ⊆ Out D4.D72244-D4.D7.C2^2448,1224
D4.D7.2C22 = D28.44D4φ: C22/C2C2 ⊆ Out D4.D72248-D4.D7.2C2^2448,1232
D4.D7.3C22 = D28.35C23φ: C22/C2C2 ⊆ Out D4.D72248-D4.D7.3C2^2448,1291

׿
×
𝔽