# Extensions 1→N→G→Q→1 with N=C4○D28 and Q=C22

Direct product G=N×Q with N=C4○D28 and Q=C22
dρLabelID
C22×C4○D28224C2^2xC4oD28448,1368

Semidirect products G=N:Q with N=C4○D28 and Q=C22
extensionφ:Q→Out NdρLabelID
C4○D281C22 = D4.11D28φ: C22/C1C22 ⊆ Out C4○D281124C4oD28:1C2^2448,1204
C4○D282C22 = D4.12D28φ: C22/C1C22 ⊆ Out C4○D281124+C4oD28:2C2^2448,1205
C4○D283C22 = D813D14φ: C22/C1C22 ⊆ Out C4○D281124C4oD28:3C2^2448,1210
C4○D284C22 = D28.29D4φ: C22/C1C22 ⊆ Out C4○D281124C4oD28:4C2^2448,1215
C4○D285C22 = D7×C4○D8φ: C22/C1C22 ⊆ Out C4○D281124C4oD28:5C2^2448,1220
C4○D286C22 = D810D14φ: C22/C1C22 ⊆ Out C4○D281124C4oD28:6C2^2448,1221
C4○D287C22 = D7×C8⋊C22φ: C22/C1C22 ⊆ Out C4○D28568+C4oD28:7C2^2448,1225
C4○D288C22 = D85D14φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28:8C2^2448,1227
C4○D289C22 = C56.C23φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28:9C2^2448,1231
C4○D2810C22 = D28.32C23φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28:10C2^2448,1288
C4○D2811C22 = D28.33C23φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28:11C2^2448,1289
C4○D2812C22 = D7×2+ 1+4φ: C22/C1C22 ⊆ Out C4○D28568+C4oD28:12C2^2448,1379
C4○D2813C22 = D14.C24φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28:13C2^2448,1380
C4○D2814C22 = D7×2- 1+4φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28:14C2^2448,1381
C4○D2815C22 = D28.39C23φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28:15C2^2448,1382
C4○D2816C22 = C2×D567C2φ: C22/C2C2 ⊆ Out C4○D28224C4oD28:16C2^2448,1194
C4○D2817C22 = C56.9C23φ: C22/C2C2 ⊆ Out C4○D281124C4oD28:17C2^2448,1201
C4○D2818C22 = C2×C8⋊D14φ: C22/C2C2 ⊆ Out C4○D28112C4oD28:18C2^2448,1199
C4○D2819C22 = C2×D4.D14φ: C22/C2C2 ⊆ Out C4○D28112C4oD28:19C2^2448,1246
C4○D2820C22 = C2×D4.8D14φ: C22/C2C2 ⊆ Out C4○D28224C4oD28:20C2^2448,1274
C4○D2821C22 = C28.C24φ: C22/C2C2 ⊆ Out C4○D281124C4oD28:21C2^2448,1275
C4○D2822C22 = C2×D46D14φ: C22/C2C2 ⊆ Out C4○D28112C4oD28:22C2^2448,1371
C4○D2823C22 = C2×Q8.10D14φ: C22/C2C2 ⊆ Out C4○D28224C4oD28:23C2^2448,1374
C4○D2824C22 = C2×D7×C4○D4φ: C22/C2C2 ⊆ Out C4○D28112C4oD28:24C2^2448,1375
C4○D2825C22 = C2×D48D14φ: C22/C2C2 ⊆ Out C4○D28112C4oD28:25C2^2448,1376
C4○D2826C22 = C2×D4.10D14φ: C22/C2C2 ⊆ Out C4○D28224C4oD28:26C2^2448,1377
C4○D2827C22 = C14.C25φ: C22/C2C2 ⊆ Out C4○D281124C4oD28:27C2^2448,1378

Non-split extensions G=N.Q with N=C4○D28 and Q=C22
extensionφ:Q→Out NdρLabelID
C4○D28.1C22 = D28.1D4φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.1C2^2448,280
C4○D28.2C22 = D281D4φ: C22/C1C22 ⊆ Out C4○D28568+C4oD28.2C2^2448,281
C4○D28.3C22 = D28.2D4φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.3C2^2448,282
C4○D28.4C22 = D28.3D4φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28.4C2^2448,283
C4○D28.5C22 = D28.4D4φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.5C2^2448,286
C4○D28.6C22 = D28.5D4φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28.6C2^2448,287
C4○D28.7C22 = D28.6D4φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28.7C2^2448,288
C4○D28.8C22 = D28.7D4φ: C22/C1C22 ⊆ Out C4○D282248-C4oD28.8C2^2448,289
C4○D28.9C22 = D7×C4≀C2φ: C22/C1C22 ⊆ Out C4○D28564C4oD28.9C2^2448,354
C4○D28.10C22 = C42⋊D14φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.10C2^2448,355
C4○D28.11C22 = D44D28φ: C22/C1C22 ⊆ Out C4○D28564+C4oD28.11C2^2448,356
C4○D28.12C22 = M4(2).22D14φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.12C2^2448,357
C4○D28.13C22 = C42.196D14φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.13C2^2448,358
C4○D28.14C22 = M4(2)⋊D14φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.14C2^2448,359
C4○D28.15C22 = D4.9D28φ: C22/C1C22 ⊆ Out C4○D281124-C4oD28.15C2^2448,360
C4○D28.16C22 = D4.10D28φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.16C2^2448,361
C4○D28.17C22 = D5610C4φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.17C2^2448,428
C4○D28.18C22 = D567C4φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.18C2^2448,429
C4○D28.19C22 = C425D14φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.19C2^2448,595
C4○D28.20C22 = D28.14D4φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.20C2^2448,596
C4○D28.21C22 = D285D4φ: C22/C1C22 ⊆ Out C4○D28564C4oD28.21C2^2448,611
C4○D28.22C22 = D28.15D4φ: C22/C1C22 ⊆ Out C4○D281124C4oD28.22C2^2448,629
C4○D28.23C22 = D2818D4φ: C22/C1C22 ⊆ Out C4○D28568+C4oD28.23C2^2448,732
C4○D28.24C22 = D28.38D4φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.24C2^2448,735
C4○D28.25C22 = D28.39D4φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28.25C2^2448,736
C4○D28.26C22 = D28.40D4φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.26C2^2448,739
C4○D28.27C22 = D4.13D28φ: C22/C1C22 ⊆ Out C4○D282244-C4oD28.27C2^2448,1206
C4○D28.28C22 = SD16⋊D14φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.28C2^2448,1226
C4○D28.29C22 = D86D14φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.29C2^2448,1228
C4○D28.30C22 = D7×C8.C22φ: C22/C1C22 ⊆ Out C4○D281128-C4oD28.30C2^2448,1229
C4○D28.31C22 = D56⋊C22φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28.31C2^2448,1230
C4○D28.32C22 = D28.44D4φ: C22/C1C22 ⊆ Out C4○D282248-C4oD28.32C2^2448,1232
C4○D28.33C22 = D28.34C23φ: C22/C1C22 ⊆ Out C4○D281128+C4oD28.33C2^2448,1290
C4○D28.34C22 = D28.35C23φ: C22/C1C22 ⊆ Out C4○D282248-C4oD28.34C2^2448,1291
C4○D28.35C22 = D5611C4φ: C22/C2C2 ⊆ Out C4○D281122C4oD28.35C2^2448,234
C4○D28.36C22 = D564C4φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.36C2^2448,251
C4○D28.37C22 = C2×Dic14⋊C4φ: C22/C2C2 ⊆ Out C4○D28112C4oD28.37C2^2448,461
C4○D28.38C22 = C424D14φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.38C2^2448,539
C4○D28.39C22 = C8.20D28φ: C22/C2C2 ⊆ Out C4○D282244-C4oD28.39C2^2448,430
C4○D28.40C22 = C8.21D28φ: C22/C2C2 ⊆ Out C4○D281124+C4oD28.40C2^2448,431
C4○D28.41C22 = C8.24D28φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.41C2^2448,432
C4○D28.42C22 = C2×D284C4φ: C22/C2C2 ⊆ Out C4○D28112C4oD28.42C2^2448,672
C4○D28.43C22 = C23.20D28φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.43C2^2448,673
C4○D28.44C22 = C56.93D4φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.44C2^2448,678
C4○D28.45C22 = C56.50D4φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.45C2^2448,679
C4○D28.46C22 = C56.23D4φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.46C2^2448,694
C4○D28.47C22 = C56.44D4φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.47C2^2448,711
C4○D28.48C22 = C56.29D4φ: C22/C2C2 ⊆ Out C4○D282244C4oD28.48C2^2448,726
C4○D28.49C22 = C2×D28.C4φ: C22/C2C2 ⊆ Out C4○D28224C4oD28.49C2^2448,1197
C4○D28.50C22 = C2×C8.D14φ: C22/C2C2 ⊆ Out C4○D28224C4oD28.50C2^2448,1200
C4○D28.51C22 = D7×C8○D4φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.51C2^2448,1202
C4○D28.52C22 = C56.49C23φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.52C2^2448,1203
C4○D28.53C22 = D28.30D4φ: C22/C2C2 ⊆ Out C4○D282244C4oD28.53C2^2448,1219
C4○D28.54C22 = D815D14φ: C22/C2C2 ⊆ Out C4○D281124+C4oD28.54C2^2448,1222
C4○D28.55C22 = D811D14φ: C22/C2C2 ⊆ Out C4○D281124C4oD28.55C2^2448,1223
C4○D28.56C22 = D8.10D14φ: C22/C2C2 ⊆ Out C4○D282244-C4oD28.56C2^2448,1224
C4○D28.57C22 = C2×C28.C23φ: C22/C2C2 ⊆ Out C4○D28224C4oD28.57C2^2448,1261
C4○D28.58C22 = C2×D28.2C4φ: trivial image224C4oD28.58C2^2448,1191
C4○D28.59C22 = C28.70C24φ: trivial image1124C4oD28.59C2^2448,1198

׿
×
𝔽