Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C2×C14

Direct product G=N×Q with N=C22⋊C4 and Q=C2×C14
dρLabelID
C22⋊C4×C2×C14224C2^2:C4xC2xC14448,1295

Semidirect products G=N:Q with N=C22⋊C4 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
C22⋊C4⋊1(C2×C14) = C7×C2≀C22φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4564C2^2:C4:1(C2xC14)448,865
C22⋊C4⋊2(C2×C14) = C7×C23.7D4φ: C2×C14/C7 → C22 ⊆ Out C22⋊C41124C2^2:C4:2(C2xC14)448,866
C22⋊C4⋊3(C2×C14) = C7×C23⋊3D4φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4112C2^2:C4:3(C2xC14)448,1317
C22⋊C4⋊4(C2×C14) = C7×C22.29C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4112C2^2:C4:4(C2xC14)448,1318
C22⋊C4⋊5(C2×C14) = C7×D42φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4112C2^2:C4:5(C2xC14)448,1328
C22⋊C4⋊6(C2×C14) = C7×C22.45C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4112C2^2:C4:6(C2xC14)448,1334
C22⋊C4⋊7(C2×C14) = C7×C22.54C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4112C2^2:C4:7(C2xC14)448,1343
C22⋊C4⋊8(C2×C14) = C7×C24⋊C22φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4112C2^2:C4:8(C2xC14)448,1344
C22⋊C4⋊9(C2×C14) = C14×C23⋊C4φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4112C2^2:C4:9(C2xC14)448,817
C22⋊C4⋊10(C2×C14) = C14×C22≀C2φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4112C2^2:C4:10(C2xC14)448,1304
C22⋊C4⋊11(C2×C14) = C14×C4⋊D4φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4:11(C2xC14)448,1305
C22⋊C4⋊12(C2×C14) = C14×C22.D4φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4:12(C2xC14)448,1307
C22⋊C4⋊13(C2×C14) = C7×C22.19C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4112C2^2:C4:13(C2xC14)448,1308
C22⋊C4⋊14(C2×C14) = C14×C4.4D4φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4:14(C2xC14)448,1309
C22⋊C4⋊15(C2×C14) = C7×C22.32C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4112C2^2:C4:15(C2xC14)448,1321
C22⋊C4⋊16(C2×C14) = C7×D4⋊5D4φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4112C2^2:C4:16(C2xC14)448,1329
C22⋊C4⋊17(C2×C14) = D4×C2×C28φ: trivial image224C2^2:C4:17(C2xC14)448,1298
C22⋊C4⋊18(C2×C14) = C7×C22.11C24φ: trivial image112C2^2:C4:18(C2xC14)448,1301

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C2×C14
extensionφ:Q→Out NdρLabelID
C22⋊C4.1(C2×C14) = C7×C23.38C23φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.1(C2xC14)448,1319
C22⋊C4.2(C2×C14) = C7×C22.31C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.2(C2xC14)448,1320
C22⋊C4.3(C2×C14) = C7×C22.35C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.3(C2xC14)448,1324
C22⋊C4.4(C2×C14) = C7×C22.36C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.4(C2xC14)448,1325
C22⋊C4.5(C2×C14) = C7×D4⋊6D4φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.5(C2xC14)448,1330
C22⋊C4.6(C2×C14) = C7×C22.50C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.6(C2xC14)448,1339
C22⋊C4.7(C2×C14) = C7×C22.56C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.7(C2xC14)448,1345
C22⋊C4.8(C2×C14) = C7×C22.57C24φ: C2×C14/C7 → C22 ⊆ Out C22⋊C4224C2^2:C4.8(C2xC14)448,1346
C22⋊C4.9(C2×C14) = C7×C23.C23φ: C2×C14/C14 → C2 ⊆ Out C22⋊C41124C2^2:C4.9(C2xC14)448,818
C22⋊C4.10(C2×C14) = C14×C22⋊Q8φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.10(C2xC14)448,1306
C22⋊C4.11(C2×C14) = C14×C42⋊2C2φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.11(C2xC14)448,1311
C22⋊C4.12(C2×C14) = C7×C23.36C23φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.12(C2xC14)448,1312
C22⋊C4.13(C2×C14) = C7×C22.26C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.13(C2xC14)448,1315
C22⋊C4.14(C2×C14) = C7×C23.37C23φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.14(C2xC14)448,1316
C22⋊C4.15(C2×C14) = C7×C22.33C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.15(C2xC14)448,1322
C22⋊C4.16(C2×C14) = C7×C22.34C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.16(C2xC14)448,1323
C22⋊C4.17(C2×C14) = C7×C23⋊2Q8φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4112C2^2:C4.17(C2xC14)448,1326
C22⋊C4.18(C2×C14) = C7×C23.41C23φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.18(C2xC14)448,1327
C22⋊C4.19(C2×C14) = C7×Q8⋊5D4φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.19(C2xC14)448,1331
C22⋊C4.20(C2×C14) = C7×D4×Q8φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.20(C2xC14)448,1332
C22⋊C4.21(C2×C14) = C7×Q8⋊6D4φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.21(C2xC14)448,1333
C22⋊C4.22(C2×C14) = C7×C22.46C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.22(C2xC14)448,1335
C22⋊C4.23(C2×C14) = C7×C22.47C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.23(C2xC14)448,1336
C22⋊C4.24(C2×C14) = C7×D4⋊3Q8φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.24(C2xC14)448,1337
C22⋊C4.25(C2×C14) = C7×C22.49C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.25(C2xC14)448,1338
C22⋊C4.26(C2×C14) = C7×C22.53C24φ: C2×C14/C14 → C2 ⊆ Out C22⋊C4224C2^2:C4.26(C2xC14)448,1342
C22⋊C4.27(C2×C14) = C14×C42⋊C2φ: trivial image224C2^2:C4.27(C2xC14)448,1297
C22⋊C4.28(C2×C14) = C4○D4×C28φ: trivial image224C2^2:C4.28(C2xC14)448,1300
C22⋊C4.29(C2×C14) = C7×C23.32C23φ: trivial image224C2^2:C4.29(C2xC14)448,1302
C22⋊C4.30(C2×C14) = C7×C23.33C23φ: trivial image224C2^2:C4.30(C2xC14)448,1303

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁