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Extensions 1→N→G→Q→1 with N=C4.Dic7 and Q=C22

Direct product G=N×Q with N=C4.Dic7 and Q=C22
dρLabelID
C22×C4.Dic7224C2^2xC4.Dic7448,1234

Semidirect products G=N:Q with N=C4.Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.Dic7⋊1C22 = D7×C4.D4φ: C22/C1 → C22 ⊆ Out C4.Dic7568+C4.Dic7:1C2^2448,278
C4.Dic7⋊2C22 = D7×C4≀C2φ: C22/C1 → C22 ⊆ Out C4.Dic7564C4.Dic7:2C2^2448,354
C4.Dic7⋊3C22 = C42⋊D14φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7:3C2^2448,355
C4.Dic7⋊4C22 = D4⋊4D28φ: C22/C1 → C22 ⊆ Out C4.Dic7564+C4.Dic7:4C2^2448,356
C4.Dic7⋊5C22 = M4(2)⋊D14φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7:5C2^2448,359
C4.Dic7⋊6C22 = C42⋊5D14φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7:6C2^2448,595
C4.Dic7⋊7C22 = D28⋊5D4φ: C22/C1 → C22 ⊆ Out C4.Dic7564C4.Dic7:7C2^2448,611
C4.Dic7⋊8C22 = D28⋊18D4φ: C22/C1 → C22 ⊆ Out C4.Dic7568+C4.Dic7:8C2^2448,732
C4.Dic7⋊9C22 = D28.39D4φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7:9C2^2448,736
C4.Dic7⋊10C22 = 2+ 1+4⋊D7φ: C22/C1 → C22 ⊆ Out C4.Dic7568+C4.Dic7:10C2^2448,775
C4.Dic7⋊11C22 = 2+ 1+4.D7φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7:11C2^2448,776
C4.Dic7⋊12C22 = D7×C8⋊C22φ: C22/C1 → C22 ⊆ Out C4.Dic7568+C4.Dic7:12C2^2448,1225
C4.Dic7⋊13C22 = SD16⋊D14φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7:13C2^2448,1226
C4.Dic7⋊14C22 = D7×C8.C22φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7:14C2^2448,1229
C4.Dic7⋊15C22 = D56⋊C22φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7:15C2^2448,1230
C4.Dic7⋊16C22 = D28.32C23φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7:16C2^2448,1288
C4.Dic7⋊17C22 = D28.33C23φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7:17C2^2448,1289
C4.Dic7⋊18C22 = D28.34C23φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7:18C2^2448,1290
C4.Dic7⋊19C22 = C2×Dic14⋊C4φ: C22/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:19C2^2448,461
C4.Dic7⋊20C22 = C42⋊4D14φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:20C2^2448,539
C4.Dic7⋊21C22 = C2×C28.46D4φ: C22/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:21C2^2448,664
C4.Dic7⋊22C22 = C2×C28.D4φ: C22/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:22C2^2448,750
C4.Dic7⋊23C22 = C2×D4⋊2Dic7φ: C22/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:23C2^2448,769
C4.Dic7⋊24C22 = (D4×C14)⋊9C4φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:24C2^2448,770
C4.Dic7⋊25C22 = C2×D7×M4(2)φ: C22/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:25C2^2448,1196
C4.Dic7⋊26C22 = D7×C8○D4φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:26C2^2448,1202
C4.Dic7⋊27C22 = C56.49C23φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:27C2^2448,1203
C4.Dic7⋊28C22 = D8⋊13D14φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:28C2^2448,1210
C4.Dic7⋊29C22 = D28.29D4φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:29C2^2448,1215
C4.Dic7⋊30C22 = D8⋊15D14φ: C22/C2 → C2 ⊆ Out C4.Dic71124+C4.Dic7:30C2^2448,1222
C4.Dic7⋊31C22 = D8⋊11D14φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:31C2^2448,1223
C4.Dic7⋊32C22 = C2×D4.D14φ: C22/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:32C2^2448,1246
C4.Dic7⋊33C22 = C2×C28.C23φ: C22/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:33C2^2448,1261
C4.Dic7⋊34C22 = C2×Q8.Dic7φ: C22/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:34C2^2448,1271
C4.Dic7⋊35C22 = C28.76C24φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:35C2^2448,1272
C4.Dic7⋊36C22 = C2×D4⋊D14φ: C22/C2 → C2 ⊆ Out C4.Dic7112C4.Dic7:36C2^2448,1273
C4.Dic7⋊37C22 = C28.C24φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7:37C2^2448,1275
C4.Dic7⋊38C22 = C2×D4.9D14φ: C22/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7:38C2^2448,1276
C4.Dic7⋊39C22 = C2×D28.2C4φ: trivial image224C4.Dic7:39C2^2448,1191
C4.Dic7⋊40C22 = C28.70C24φ: trivial image1124C4.Dic7:40C2^2448,1198

Non-split extensions G=N.Q with N=C4.Dic7 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.Dic7.1C22 = M4(2).19D14φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7.1C2^2448,279
C4.Dic7.2C22 = D28.2D4φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7.2C2^2448,282
C4.Dic7.3C22 = D28.3D4φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7.3C2^2448,283
C4.Dic7.4C22 = D7×C4.10D4φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7.4C2^2448,284
C4.Dic7.5C22 = M4(2).21D14φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7.5C2^2448,285
C4.Dic7.6C22 = D28.6D4φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7.6C2^2448,288
C4.Dic7.7C22 = D28.7D4φ: C22/C1 → C22 ⊆ Out C4.Dic72248-C4.Dic7.7C2^2448,289
C4.Dic7.8C22 = M4(2).22D14φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.8C2^2448,357
C4.Dic7.9C22 = C42.196D14φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.9C2^2448,358
C4.Dic7.10C22 = D4.9D28φ: C22/C1 → C22 ⊆ Out C4.Dic71124-C4.Dic7.10C2^2448,360
C4.Dic7.11C22 = D4.10D28φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.11C2^2448,361
C4.Dic7.12C22 = D7×C8.C4φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.12C2^2448,426
C4.Dic7.13C22 = M4(2).25D14φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.13C2^2448,427
C4.Dic7.14C22 = D28.14D4φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.14C2^2448,596
C4.Dic7.15C22 = D28.15D4φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.15C2^2448,629
C4.Dic7.16C22 = D4.3D28φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.16C2^2448,675
C4.Dic7.17C22 = D4.4D28φ: C22/C1 → C22 ⊆ Out C4.Dic71124+C4.Dic7.17C2^2448,676
C4.Dic7.18C22 = D4.5D28φ: C22/C1 → C22 ⊆ Out C4.Dic72244-C4.Dic7.18C2^2448,677
C4.Dic7.19C22 = C56.23D4φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.19C2^2448,694
C4.Dic7.20C22 = C56.44D4φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.20C2^2448,711
C4.Dic7.21C22 = C56.29D4φ: C22/C1 → C22 ⊆ Out C4.Dic72244C4.Dic7.21C2^2448,726
C4.Dic7.22C22 = D8⋊5Dic7φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.22C2^2448,730
C4.Dic7.23C22 = D8⋊4Dic7φ: C22/C1 → C22 ⊆ Out C4.Dic71124C4.Dic7.23C2^2448,731
C4.Dic7.24C22 = M4(2).D14φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7.24C2^2448,733
C4.Dic7.25C22 = M4(2).13D14φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7.25C2^2448,734
C4.Dic7.26C22 = D28.38D4φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7.26C2^2448,735
C4.Dic7.27C22 = M4(2).15D14φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7.27C2^2448,737
C4.Dic7.28C22 = M4(2).16D14φ: C22/C1 → C22 ⊆ Out C4.Dic72248-C4.Dic7.28C2^2448,738
C4.Dic7.29C22 = D28.40D4φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7.29C2^2448,739
C4.Dic7.30C22 = 2- 1+4⋊D7φ: C22/C1 → C22 ⊆ Out C4.Dic71128+C4.Dic7.30C2^2448,779
C4.Dic7.31C22 = 2- 1+4.D7φ: C22/C1 → C22 ⊆ Out C4.Dic71128-C4.Dic7.31C2^2448,780
C4.Dic7.32C22 = D28.35C23φ: C22/C1 → C22 ⊆ Out C4.Dic72248-C4.Dic7.32C2^2448,1291
C4.Dic7.33C22 = D56⋊11C4φ: C22/C2 → C2 ⊆ Out C4.Dic71122C4.Dic7.33C2^2448,234
C4.Dic7.34C22 = D56⋊4C4φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.34C2^2448,251
C4.Dic7.35C22 = C2×C56.C4φ: C22/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7.35C2^2448,641
C4.Dic7.36C22 = M4(2).Dic7φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.36C2^2448,659
C4.Dic7.37C22 = C8.20D28φ: C22/C2 → C2 ⊆ Out C4.Dic72244-C4.Dic7.37C2^2448,430
C4.Dic7.38C22 = C8.21D28φ: C22/C2 → C2 ⊆ Out C4.Dic71124+C4.Dic7.38C2^2448,431
C4.Dic7.39C22 = C8.24D28φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.39C2^2448,432
C4.Dic7.40C22 = C2×C28.53D4φ: C22/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7.40C2^2448,657
C4.Dic7.41C22 = C23.Dic14φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.41C2^2448,658
C4.Dic7.42C22 = M4(2).31D14φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.42C2^2448,666
C4.Dic7.43C22 = C2×C4.12D28φ: C22/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7.43C2^2448,670
C4.Dic7.44C22 = C56.93D4φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.44C2^2448,678
C4.Dic7.45C22 = C56.50D4φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.45C2^2448,679
C4.Dic7.46C22 = C2×C28.10D4φ: C22/C2 → C2 ⊆ Out C4.Dic7224C4.Dic7.46C2^2448,760
C4.Dic7.47C22 = (D4×C14).16C4φ: C22/C2 → C2 ⊆ Out C4.Dic71124C4.Dic7.47C2^2448,771
C4.Dic7.48C22 = D28.30D4φ: C22/C2 → C2 ⊆ Out C4.Dic72244C4.Dic7.48C2^2448,1219
C4.Dic7.49C22 = D8.10D14φ: C22/C2 → C2 ⊆ Out C4.Dic72244-C4.Dic7.49C2^2448,1224

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