Extensions 1→N→G→Q→1 with N=D4:2D7 and Q=C22

Direct product G=NxQ with N=D4:2D7 and Q=C22
dρLabelID
C22xD4:2D7224C2^2xD4:2D7448,1370

Semidirect products G=N:Q with N=D4:2D7 and Q=C22
extensionφ:Q→Out NdρLabelID
D4:2D7:1C22 = D8:13D14φ: C22/C1C22 ⊆ Out D4:2D71124D4:2D7:1C2^2448,1210
D4:2D7:2C22 = D8:11D14φ: C22/C1C22 ⊆ Out D4:2D71124D4:2D7:2C2^2448,1223
D4:2D7:3C22 = D8:5D14φ: C22/C1C22 ⊆ Out D4:2D71128+D4:2D7:3C2^2448,1227
D4:2D7:4C22 = D8:6D14φ: C22/C1C22 ⊆ Out D4:2D71128-D4:2D7:4C2^2448,1228
D4:2D7:5C22 = C2xD8:D7φ: C22/C2C2 ⊆ Out D4:2D7112D4:2D7:5C2^2448,1208
D4:2D7:6C22 = C2xD8:3D7φ: C22/C2C2 ⊆ Out D4:2D7224D4:2D7:6C2^2448,1209
D4:2D7:7C22 = C2xSD16:3D7φ: C22/C2C2 ⊆ Out D4:2D7224D4:2D7:7C2^2448,1214
D4:2D7:8C22 = D7xC4oD8φ: C22/C2C2 ⊆ Out D4:2D71124D4:2D7:8C2^2448,1220
D4:2D7:9C22 = D7xC8:C22φ: C22/C2C2 ⊆ Out D4:2D7568+D4:2D7:9C2^2448,1225
D4:2D7:10C22 = SD16:D14φ: C22/C2C2 ⊆ Out D4:2D71128-D4:2D7:10C2^2448,1226
D4:2D7:11C22 = D56:C22φ: C22/C2C2 ⊆ Out D4:2D71128+D4:2D7:11C2^2448,1230
D4:2D7:12C22 = C2xD4:6D14φ: C22/C2C2 ⊆ Out D4:2D7112D4:2D7:12C2^2448,1371
D4:2D7:13C22 = C2xD4.10D14φ: C22/C2C2 ⊆ Out D4:2D7224D4:2D7:13C2^2448,1377
D4:2D7:14C22 = C14.C25φ: C22/C2C2 ⊆ Out D4:2D71124D4:2D7:14C2^2448,1378
D4:2D7:15C22 = D7x2+ 1+4φ: C22/C2C2 ⊆ Out D4:2D7568+D4:2D7:15C2^2448,1379
D4:2D7:16C22 = D14.C24φ: C22/C2C2 ⊆ Out D4:2D71128-D4:2D7:16C2^2448,1380
D4:2D7:17C22 = D7x2- 1+4φ: C22/C2C2 ⊆ Out D4:2D71128-D4:2D7:17C2^2448,1381
D4:2D7:18C22 = C2xD7xC4oD4φ: trivial image112D4:2D7:18C2^2448,1375
D4:2D7:19C22 = D28.39C23φ: trivial image1128+D4:2D7:19C2^2448,1382

Non-split extensions G=N.Q with N=D4:2D7 and Q=C22
extensionφ:Q→Out NdρLabelID
D4:2D7.1C22 = D28.29D4φ: C22/C1C22 ⊆ Out D4:2D71124D4:2D7.1C2^2448,1215
D4:2D7.2C22 = D8.10D14φ: C22/C1C22 ⊆ Out D4:2D72244-D4:2D7.2C2^2448,1224
D4:2D7.3C22 = D28.44D4φ: C22/C1C22 ⊆ Out D4:2D72248-D4:2D7.3C2^2448,1232
D4:2D7.4C22 = C2xSD16:D7φ: C22/C2C2 ⊆ Out D4:2D7224D4:2D7.4C2^2448,1213
D4:2D7.5C22 = D8:10D14φ: C22/C2C2 ⊆ Out D4:2D71124D4:2D7.5C2^2448,1221
D4:2D7.6C22 = D7xC8.C22φ: C22/C2C2 ⊆ Out D4:2D71128-D4:2D7.6C2^2448,1229

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