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

Direct product G=NxQ with N=D4:D7 and Q=C22
dρLabelID
C22xD4:D7224C2^2xD4:D7448,1245

Semidirect products G=N:Q with N=D4:D7 and Q=C22
extensionφ:Q→Out NdρLabelID
D4:D7:1C22 = D8:13D14φ: C22/C1C22 ⊆ Out D4:D71124D4:D7:1C2^2448,1210
D4:D7:2C22 = D28.29D4φ: C22/C1C22 ⊆ Out D4:D71124D4:D7:2C2^2448,1215
D4:D7:3C22 = D8:15D14φ: C22/C1C22 ⊆ Out D4:D71124+D4:D7:3C2^2448,1222
D4:D7:4C22 = D8:11D14φ: C22/C1C22 ⊆ Out D4:D71124D4:D7:4C2^2448,1223
D4:D7:5C22 = D7xC8:C22φ: C22/C1C22 ⊆ Out D4:D7568+D4:D7:5C2^2448,1225
D4:D7:6C22 = SD16:D14φ: C22/C1C22 ⊆ Out D4:D71128-D4:D7:6C2^2448,1226
D4:D7:7C22 = D56:C22φ: C22/C1C22 ⊆ Out D4:D71128+D4:D7:7C2^2448,1230
D4:D7:8C22 = C2xD7xD8φ: C22/C2C2 ⊆ Out D4:D7112D4:D7:8C2^2448,1207
D4:D7:9C22 = C2xD8:D7φ: C22/C2C2 ⊆ Out D4:D7112D4:D7:9C2^2448,1208
D4:D7:10C22 = C2xD56:C2φ: C22/C2C2 ⊆ Out D4:D7112D4:D7:10C2^2448,1212
D4:D7:11C22 = C2xSD16:3D7φ: C22/C2C2 ⊆ Out D4:D7224D4:D7:11C2^2448,1214
D4:D7:12C22 = D7xC4oD8φ: C22/C2C2 ⊆ Out D4:D71124D4:D7:12C2^2448,1220
D4:D7:13C22 = D8:10D14φ: C22/C2C2 ⊆ Out D4:D71124D4:D7:13C2^2448,1221
D4:D7:14C22 = D8:5D14φ: C22/C2C2 ⊆ Out D4:D71128+D4:D7:14C2^2448,1227
D4:D7:15C22 = D8:6D14φ: C22/C2C2 ⊆ Out D4:D71128-D4:D7:15C2^2448,1228
D4:D7:16C22 = C56.C23φ: C22/C2C2 ⊆ Out D4:D71128+D4:D7:16C2^2448,1231
D4:D7:17C22 = C2xD4.D14φ: C22/C2C2 ⊆ Out D4:D7112D4:D7:17C2^2448,1246
D4:D7:18C22 = C2xD4:D14φ: C22/C2C2 ⊆ Out D4:D7112D4:D7:18C2^2448,1273
D4:D7:19C22 = C28.C24φ: C22/C2C2 ⊆ Out D4:D71124D4:D7:19C2^2448,1275
D4:D7:20C22 = D28.32C23φ: C22/C2C2 ⊆ Out D4:D71128+D4:D7:20C2^2448,1288
D4:D7:21C22 = D28.33C23φ: C22/C2C2 ⊆ Out D4:D71128-D4:D7:21C2^2448,1289
D4:D7:22C22 = D28.34C23φ: C22/C2C2 ⊆ Out D4:D71128+D4:D7:22C2^2448,1290
D4:D7:23C22 = C2xD4.8D14φ: trivial image224D4:D7:23C2^2448,1274

Non-split extensions G=N.Q with N=D4:D7 and Q=C22
extensionφ:Q→Out NdρLabelID
D4:D7.C22 = D28.44D4φ: C22/C2C2 ⊆ Out D4:D72248-D4:D7.C2^2448,1232
D4:D7.2C22 = D28.35C23φ: trivial image2248-D4:D7.2C2^2448,1291

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