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Extensions 1→N→G→Q→1 with N=C7×Q8 and Q=C23

Direct product G=N×Q with N=C7×Q8 and Q=C23
dρLabelID
Q8×C22×C14448Q8xC2^2xC14448,1387

Semidirect products G=N:Q with N=C7×Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C7×Q8)⋊1C23 = C2×D7×SD16φ: C23/C2 → C22 ⊆ Out C7×Q8112(C7xQ8):1C2^3448,1211
(C7×Q8)⋊2C23 = C2×D56⋊C2φ: C23/C2 → C22 ⊆ Out C7×Q8112(C7xQ8):2C2^3448,1212
(C7×Q8)⋊3C23 = D7×C8⋊C22φ: C23/C2 → C22 ⊆ Out C7×Q8568+(C7xQ8):3C2^3448,1225
(C7×Q8)⋊4C23 = C22×Q8⋊D7φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8):4C2^3448,1260
(C7×Q8)⋊5C23 = C2×D4⋊D14φ: C23/C22 → C2 ⊆ Out C7×Q8112(C7xQ8):5C2^3448,1273
(C7×Q8)⋊6C23 = C22×Q8×D7φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8):6C2^3448,1372
(C7×Q8)⋊7C23 = C22×Q8⋊2D7φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8):7C2^3448,1373
(C7×Q8)⋊8C23 = C2×D7×C4○D4φ: C23/C22 → C2 ⊆ Out C7×Q8112(C7xQ8):8C2^3448,1375
(C7×Q8)⋊9C23 = C2×D4⋊8D14φ: C23/C22 → C2 ⊆ Out C7×Q8112(C7xQ8):9C2^3448,1376
(C7×Q8)⋊10C23 = D7×2+ 1+4φ: C23/C22 → C2 ⊆ Out C7×Q8568+(C7xQ8):10C2^3448,1379
(C7×Q8)⋊11C23 = SD16×C2×C14φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8):11C2^3448,1353
(C7×Q8)⋊12C23 = C14×C8⋊C22φ: C23/C22 → C2 ⊆ Out C7×Q8112(C7xQ8):12C2^3448,1356
(C7×Q8)⋊13C23 = C4○D4×C2×C14φ: trivial image224(C7xQ8):13C2^3448,1388
(C7×Q8)⋊14C23 = C14×2+ 1+4φ: trivial image112(C7xQ8):14C2^3448,1389

Non-split extensions G=N.Q with N=C7×Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C7×Q8).1C23 = C2×SD16⋊D7φ: C23/C2 → C22 ⊆ Out C7×Q8224(C7xQ8).1C2^3448,1213
(C7×Q8).2C23 = C2×SD16⋊3D7φ: C23/C2 → C22 ⊆ Out C7×Q8224(C7xQ8).2C2^3448,1214
(C7×Q8).3C23 = D28.29D4φ: C23/C2 → C22 ⊆ Out C7×Q81124(C7xQ8).3C2^3448,1215
(C7×Q8).4C23 = C2×D7×Q16φ: C23/C2 → C22 ⊆ Out C7×Q8224(C7xQ8).4C2^3448,1216
(C7×Q8).5C23 = C2×Q16⋊D7φ: C23/C2 → C22 ⊆ Out C7×Q8224(C7xQ8).5C2^3448,1217
(C7×Q8).6C23 = C2×Q8.D14φ: C23/C2 → C22 ⊆ Out C7×Q8224(C7xQ8).6C2^3448,1218
(C7×Q8).7C23 = D28.30D4φ: C23/C2 → C22 ⊆ Out C7×Q82244(C7xQ8).7C2^3448,1219
(C7×Q8).8C23 = D7×C4○D8φ: C23/C2 → C22 ⊆ Out C7×Q81124(C7xQ8).8C2^3448,1220
(C7×Q8).9C23 = D8⋊10D14φ: C23/C2 → C22 ⊆ Out C7×Q81124(C7xQ8).9C2^3448,1221
(C7×Q8).10C23 = D8⋊15D14φ: C23/C2 → C22 ⊆ Out C7×Q81124+(C7xQ8).10C2^3448,1222
(C7×Q8).11C23 = D8⋊11D14φ: C23/C2 → C22 ⊆ Out C7×Q81124(C7xQ8).11C2^3448,1223
(C7×Q8).12C23 = D8.10D14φ: C23/C2 → C22 ⊆ Out C7×Q82244-(C7xQ8).12C2^3448,1224
(C7×Q8).13C23 = SD16⋊D14φ: C23/C2 → C22 ⊆ Out C7×Q81128-(C7xQ8).13C2^3448,1226
(C7×Q8).14C23 = D8⋊5D14φ: C23/C2 → C22 ⊆ Out C7×Q81128+(C7xQ8).14C2^3448,1227
(C7×Q8).15C23 = D8⋊6D14φ: C23/C2 → C22 ⊆ Out C7×Q81128-(C7xQ8).15C2^3448,1228
(C7×Q8).16C23 = D7×C8.C22φ: C23/C2 → C22 ⊆ Out C7×Q81128-(C7xQ8).16C2^3448,1229
(C7×Q8).17C23 = D56⋊C22φ: C23/C2 → C22 ⊆ Out C7×Q81128+(C7xQ8).17C2^3448,1230
(C7×Q8).18C23 = C56.C23φ: C23/C2 → C22 ⊆ Out C7×Q81128+(C7xQ8).18C2^3448,1231
(C7×Q8).19C23 = D28.44D4φ: C23/C2 → C22 ⊆ Out C7×Q82248-(C7xQ8).19C2^3448,1232
(C7×Q8).20C23 = C2×C28.C23φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8).20C2^3448,1261
(C7×Q8).21C23 = C22×C7⋊Q16φ: C23/C22 → C2 ⊆ Out C7×Q8448(C7xQ8).21C2^3448,1262
(C7×Q8).22C23 = C2×D4.8D14φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8).22C2^3448,1274
(C7×Q8).23C23 = C28.C24φ: C23/C22 → C2 ⊆ Out C7×Q81124(C7xQ8).23C2^3448,1275
(C7×Q8).24C23 = C2×D4.9D14φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8).24C2^3448,1276
(C7×Q8).25C23 = D28.32C23φ: C23/C22 → C2 ⊆ Out C7×Q81128+(C7xQ8).25C2^3448,1288
(C7×Q8).26C23 = D28.33C23φ: C23/C22 → C2 ⊆ Out C7×Q81128-(C7xQ8).26C2^3448,1289
(C7×Q8).27C23 = D28.34C23φ: C23/C22 → C2 ⊆ Out C7×Q81128+(C7xQ8).27C2^3448,1290
(C7×Q8).28C23 = D28.35C23φ: C23/C22 → C2 ⊆ Out C7×Q82248-(C7xQ8).28C2^3448,1291
(C7×Q8).29C23 = C2×Q8.10D14φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8).29C2^3448,1374
(C7×Q8).30C23 = C2×D4.10D14φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8).30C2^3448,1377
(C7×Q8).31C23 = C14.C25φ: C23/C22 → C2 ⊆ Out C7×Q81124(C7xQ8).31C2^3448,1378
(C7×Q8).32C23 = D14.C24φ: C23/C22 → C2 ⊆ Out C7×Q81128-(C7xQ8).32C2^3448,1380
(C7×Q8).33C23 = D7×2- 1+4φ: C23/C22 → C2 ⊆ Out C7×Q81128-(C7xQ8).33C2^3448,1381
(C7×Q8).34C23 = D28.39C23φ: C23/C22 → C2 ⊆ Out C7×Q81128+(C7xQ8).34C2^3448,1382
(C7×Q8).35C23 = Q16×C2×C14φ: C23/C22 → C2 ⊆ Out C7×Q8448(C7xQ8).35C2^3448,1354
(C7×Q8).36C23 = C14×C4○D8φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8).36C2^3448,1355
(C7×Q8).37C23 = C14×C8.C22φ: C23/C22 → C2 ⊆ Out C7×Q8224(C7xQ8).37C2^3448,1357
(C7×Q8).38C23 = C7×D8⋊C22φ: C23/C22 → C2 ⊆ Out C7×Q81124(C7xQ8).38C2^3448,1358
(C7×Q8).39C23 = C7×D4○D8φ: C23/C22 → C2 ⊆ Out C7×Q81124(C7xQ8).39C2^3448,1359
(C7×Q8).40C23 = C7×D4○SD16φ: C23/C22 → C2 ⊆ Out C7×Q81124(C7xQ8).40C2^3448,1360
(C7×Q8).41C23 = C7×Q8○D8φ: C23/C22 → C2 ⊆ Out C7×Q82244(C7xQ8).41C2^3448,1361
(C7×Q8).42C23 = C14×2- 1+4φ: trivial image224(C7xQ8).42C2^3448,1390
(C7×Q8).43C23 = C7×C2.C25φ: trivial image1124(C7xQ8).43C2^3448,1391

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