# Extensions 1→N→G→Q→1 with N=Q8 and Q=C22×D7

Direct product G=N×Q with N=Q8 and Q=C22×D7
dρLabelID
C22×Q8×D7224C2^2xQ8xD7448,1372

Semidirect products G=N:Q with N=Q8 and Q=C22×D7
extensionφ:Q→Out NdρLabelID
Q81(C22×D7) = C2×D7×SD16φ: C22×D7/D14C2 ⊆ Out Q8112Q8:1(C2^2xD7)448,1211
Q82(C22×D7) = C2×D56⋊C2φ: C22×D7/D14C2 ⊆ Out Q8112Q8:2(C2^2xD7)448,1212
Q83(C22×D7) = D7×C8⋊C22φ: C22×D7/D14C2 ⊆ Out Q8568+Q8:3(C2^2xD7)448,1225
Q84(C22×D7) = C22×Q8⋊D7φ: C22×D7/C2×C14C2 ⊆ Out Q8224Q8:4(C2^2xD7)448,1260
Q85(C22×D7) = C2×D4⋊D14φ: C22×D7/C2×C14C2 ⊆ Out Q8112Q8:5(C2^2xD7)448,1273
Q86(C22×D7) = C22×Q82D7φ: trivial image224Q8:6(C2^2xD7)448,1373
Q87(C22×D7) = C2×D7×C4○D4φ: trivial image112Q8:7(C2^2xD7)448,1375
Q88(C22×D7) = C2×D48D14φ: trivial image112Q8:8(C2^2xD7)448,1376
Q89(C22×D7) = D7×2+ 1+4φ: trivial image568+Q8:9(C2^2xD7)448,1379

Non-split extensions G=N.Q with N=Q8 and Q=C22×D7
extensionφ:Q→Out NdρLabelID
Q8.1(C22×D7) = C2×SD16⋊D7φ: C22×D7/D14C2 ⊆ Out Q8224Q8.1(C2^2xD7)448,1213
Q8.2(C22×D7) = C2×SD163D7φ: C22×D7/D14C2 ⊆ Out Q8224Q8.2(C2^2xD7)448,1214
Q8.3(C22×D7) = D28.29D4φ: C22×D7/D14C2 ⊆ Out Q81124Q8.3(C2^2xD7)448,1215
Q8.4(C22×D7) = C2×D7×Q16φ: C22×D7/D14C2 ⊆ Out Q8224Q8.4(C2^2xD7)448,1216
Q8.5(C22×D7) = C2×Q16⋊D7φ: C22×D7/D14C2 ⊆ Out Q8224Q8.5(C2^2xD7)448,1217
Q8.6(C22×D7) = C2×Q8.D14φ: C22×D7/D14C2 ⊆ Out Q8224Q8.6(C2^2xD7)448,1218
Q8.7(C22×D7) = D28.30D4φ: C22×D7/D14C2 ⊆ Out Q82244Q8.7(C2^2xD7)448,1219
Q8.8(C22×D7) = D7×C4○D8φ: C22×D7/D14C2 ⊆ Out Q81124Q8.8(C2^2xD7)448,1220
Q8.9(C22×D7) = D810D14φ: C22×D7/D14C2 ⊆ Out Q81124Q8.9(C2^2xD7)448,1221
Q8.10(C22×D7) = D815D14φ: C22×D7/D14C2 ⊆ Out Q81124+Q8.10(C2^2xD7)448,1222
Q8.11(C22×D7) = D811D14φ: C22×D7/D14C2 ⊆ Out Q81124Q8.11(C2^2xD7)448,1223
Q8.12(C22×D7) = D8.10D14φ: C22×D7/D14C2 ⊆ Out Q82244-Q8.12(C2^2xD7)448,1224
Q8.13(C22×D7) = SD16⋊D14φ: C22×D7/D14C2 ⊆ Out Q81128-Q8.13(C2^2xD7)448,1226
Q8.14(C22×D7) = D85D14φ: C22×D7/D14C2 ⊆ Out Q81128+Q8.14(C2^2xD7)448,1227
Q8.15(C22×D7) = D86D14φ: C22×D7/D14C2 ⊆ Out Q81128-Q8.15(C2^2xD7)448,1228
Q8.16(C22×D7) = D7×C8.C22φ: C22×D7/D14C2 ⊆ Out Q81128-Q8.16(C2^2xD7)448,1229
Q8.17(C22×D7) = D56⋊C22φ: C22×D7/D14C2 ⊆ Out Q81128+Q8.17(C2^2xD7)448,1230
Q8.18(C22×D7) = C56.C23φ: C22×D7/D14C2 ⊆ Out Q81128+Q8.18(C2^2xD7)448,1231
Q8.19(C22×D7) = D28.44D4φ: C22×D7/D14C2 ⊆ Out Q82248-Q8.19(C2^2xD7)448,1232
Q8.20(C22×D7) = C2×C28.C23φ: C22×D7/C2×C14C2 ⊆ Out Q8224Q8.20(C2^2xD7)448,1261
Q8.21(C22×D7) = C22×C7⋊Q16φ: C22×D7/C2×C14C2 ⊆ Out Q8448Q8.21(C2^2xD7)448,1262
Q8.22(C22×D7) = C2×D4.8D14φ: C22×D7/C2×C14C2 ⊆ Out Q8224Q8.22(C2^2xD7)448,1274
Q8.23(C22×D7) = C28.C24φ: C22×D7/C2×C14C2 ⊆ Out Q81124Q8.23(C2^2xD7)448,1275
Q8.24(C22×D7) = C2×D4.9D14φ: C22×D7/C2×C14C2 ⊆ Out Q8224Q8.24(C2^2xD7)448,1276
Q8.25(C22×D7) = D28.32C23φ: C22×D7/C2×C14C2 ⊆ Out Q81128+Q8.25(C2^2xD7)448,1288
Q8.26(C22×D7) = D28.33C23φ: C22×D7/C2×C14C2 ⊆ Out Q81128-Q8.26(C2^2xD7)448,1289
Q8.27(C22×D7) = D28.34C23φ: C22×D7/C2×C14C2 ⊆ Out Q81128+Q8.27(C2^2xD7)448,1290
Q8.28(C22×D7) = D28.35C23φ: C22×D7/C2×C14C2 ⊆ Out Q82248-Q8.28(C2^2xD7)448,1291
Q8.29(C22×D7) = C2×Q8.10D14φ: trivial image224Q8.29(C2^2xD7)448,1374
Q8.30(C22×D7) = C2×D4.10D14φ: trivial image224Q8.30(C2^2xD7)448,1377
Q8.31(C22×D7) = C14.C25φ: trivial image1124Q8.31(C2^2xD7)448,1378
Q8.32(C22×D7) = D14.C24φ: trivial image1128-Q8.32(C2^2xD7)448,1380
Q8.33(C22×D7) = D7×2- 1+4φ: trivial image1128-Q8.33(C2^2xD7)448,1381
Q8.34(C22×D7) = D28.39C23φ: trivial image1128+Q8.34(C2^2xD7)448,1382

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