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Extensions 1→N→G→Q→1 with N=D4 and Q=C22xD7

Direct product G=NxQ with N=D4 and Q=C22xD7
dρLabelID
C22xD4xD7112C2^2xD4xD7448,1369

Semidirect products G=N:Q with N=D4 and Q=C22xD7
extensionφ:Q→Out NdρLabelID
D4:1(C22xD7) = C2xD7xD8φ: C22xD7/D14 → C2 ⊆ Out D4112D4:1(C2^2xD7)448,1207
D4:2(C22xD7) = C2xD8:D7φ: C22xD7/D14 → C2 ⊆ Out D4112D4:2(C2^2xD7)448,1208
D4:3(C22xD7) = D7xC8:C22φ: C22xD7/D14 → C2 ⊆ Out D4568+D4:3(C2^2xD7)448,1225
D4:4(C22xD7) = C22xD4:D7φ: C22xD7/C2xC14 → C2 ⊆ Out D4224D4:4(C2^2xD7)448,1245
D4:5(C22xD7) = C2xD4:D14φ: C22xD7/C2xC14 → C2 ⊆ Out D4112D4:5(C2^2xD7)448,1273
D4:6(C22xD7) = C22xD4:2D7φ: trivial image224D4:6(C2^2xD7)448,1370
D4:7(C22xD7) = C2xD4:6D14φ: trivial image112D4:7(C2^2xD7)448,1371
D4:8(C22xD7) = C2xD7xC4oD4φ: trivial image112D4:8(C2^2xD7)448,1375
D4:9(C22xD7) = C2xD4:8D14φ: trivial image112D4:9(C2^2xD7)448,1376
D4:10(C22xD7) = D7x2+ 1+4φ: trivial image568+D4:10(C2^2xD7)448,1379

Non-split extensions G=N.Q with N=D4 and Q=C22xD7
extensionφ:Q→Out NdρLabelID
D4.1(C22xD7) = C2xD8:3D7φ: C22xD7/D14 → C2 ⊆ Out D4224D4.1(C2^2xD7)448,1209
D4.2(C22xD7) = D8:13D14φ: C22xD7/D14 → C2 ⊆ Out D41124D4.2(C2^2xD7)448,1210
D4.3(C22xD7) = C2xD7xSD16φ: C22xD7/D14 → C2 ⊆ Out D4112D4.3(C2^2xD7)448,1211
D4.4(C22xD7) = C2xD56:C2φ: C22xD7/D14 → C2 ⊆ Out D4112D4.4(C2^2xD7)448,1212
D4.5(C22xD7) = C2xSD16:D7φ: C22xD7/D14 → C2 ⊆ Out D4224D4.5(C2^2xD7)448,1213
D4.6(C22xD7) = C2xSD16:3D7φ: C22xD7/D14 → C2 ⊆ Out D4224D4.6(C2^2xD7)448,1214
D4.7(C22xD7) = D28.29D4φ: C22xD7/D14 → C2 ⊆ Out D41124D4.7(C2^2xD7)448,1215
D4.8(C22xD7) = D7xC4oD8φ: C22xD7/D14 → C2 ⊆ Out D41124D4.8(C2^2xD7)448,1220
D4.9(C22xD7) = D8:10D14φ: C22xD7/D14 → C2 ⊆ Out D41124D4.9(C2^2xD7)448,1221
D4.10(C22xD7) = D8:15D14φ: C22xD7/D14 → C2 ⊆ Out D41124+D4.10(C2^2xD7)448,1222
D4.11(C22xD7) = D8:11D14φ: C22xD7/D14 → C2 ⊆ Out D41124D4.11(C2^2xD7)448,1223
D4.12(C22xD7) = D8.10D14φ: C22xD7/D14 → C2 ⊆ Out D42244-D4.12(C2^2xD7)448,1224
D4.13(C22xD7) = SD16:D14φ: C22xD7/D14 → C2 ⊆ Out D41128-D4.13(C2^2xD7)448,1226
D4.14(C22xD7) = D8:5D14φ: C22xD7/D14 → C2 ⊆ Out D41128+D4.14(C2^2xD7)448,1227
D4.15(C22xD7) = D8:6D14φ: C22xD7/D14 → C2 ⊆ Out D41128-D4.15(C2^2xD7)448,1228
D4.16(C22xD7) = D7xC8.C22φ: C22xD7/D14 → C2 ⊆ Out D41128-D4.16(C2^2xD7)448,1229
D4.17(C22xD7) = D56:C22φ: C22xD7/D14 → C2 ⊆ Out D41128+D4.17(C2^2xD7)448,1230
D4.18(C22xD7) = C56.C23φ: C22xD7/D14 → C2 ⊆ Out D41128+D4.18(C2^2xD7)448,1231
D4.19(C22xD7) = D28.44D4φ: C22xD7/D14 → C2 ⊆ Out D42248-D4.19(C2^2xD7)448,1232
D4.20(C22xD7) = C2xD4.D14φ: C22xD7/C2xC14 → C2 ⊆ Out D4112D4.20(C2^2xD7)448,1246
D4.21(C22xD7) = C22xD4.D7φ: C22xD7/C2xC14 → C2 ⊆ Out D4224D4.21(C2^2xD7)448,1247
D4.22(C22xD7) = C2xD4.8D14φ: C22xD7/C2xC14 → C2 ⊆ Out D4224D4.22(C2^2xD7)448,1274
D4.23(C22xD7) = C28.C24φ: C22xD7/C2xC14 → C2 ⊆ Out D41124D4.23(C2^2xD7)448,1275
D4.24(C22xD7) = C2xD4.9D14φ: C22xD7/C2xC14 → C2 ⊆ Out D4224D4.24(C2^2xD7)448,1276
D4.25(C22xD7) = D28.32C23φ: C22xD7/C2xC14 → C2 ⊆ Out D41128+D4.25(C2^2xD7)448,1288
D4.26(C22xD7) = D28.33C23φ: C22xD7/C2xC14 → C2 ⊆ Out D41128-D4.26(C2^2xD7)448,1289
D4.27(C22xD7) = D28.34C23φ: C22xD7/C2xC14 → C2 ⊆ Out D41128+D4.27(C2^2xD7)448,1290
D4.28(C22xD7) = D28.35C23φ: C22xD7/C2xC14 → C2 ⊆ Out D42248-D4.28(C2^2xD7)448,1291
D4.29(C22xD7) = C2xD4.10D14φ: trivial image224D4.29(C2^2xD7)448,1377
D4.30(C22xD7) = C14.C25φ: trivial image1124D4.30(C2^2xD7)448,1378
D4.31(C22xD7) = D14.C24φ: trivial image1128-D4.31(C2^2xD7)448,1380
D4.32(C22xD7) = D7x2- 1+4φ: trivial image1128-D4.32(C2^2xD7)448,1381
D4.33(C22xD7) = D28.39C23φ: trivial image1128+D4.33(C2^2xD7)448,1382

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