Extensions 1→N→G→Q→1 with N=C2.D56 and Q=C2

Direct product G=NxQ with N=C2.D56 and Q=C2
dρLabelID
C2xC2.D56224C2xC2.D56448,646

Semidirect products G=N:Q with N=C2.D56 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D56:1C2 = C4.5D56φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:1C2448,228
C2.D56:2C2 = C56:30D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:2C2448,648
C2.D56:3C2 = C56:29D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:3C2448,649
C2.D56:4C2 = D28:13D4φ: C2/C1C2 ⊆ Out C2.D56112C2.D56:4C2448,266
C2.D56:5C2 = D28.32D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:5C2448,267
C2.D56:6C2 = C22.D56φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:6C2448,270
C2.D56:7C2 = C4:D56φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:7C2448,377
C2.D56:8C2 = D28.31D4φ: C2/C1C2 ⊆ Out C2.D56112C2.D56:8C2448,265
C2.D56:9C2 = D28:14D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:9C2448,268
C2.D56:10C2 = C23.38D28φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:10C2448,269
C2.D56:11C2 = C23.13D28φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:11C2448,271
C2.D56:12C2 = D28.19D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:12C2448,378
C2.D56:13C2 = Dic14:8D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:13C2448,382
C2.D56:14C2 = Dic7:4D8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:14C2448,290
C2.D56:15C2 = Dic7.SD16φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:15C2448,294
C2.D56:16C2 = C4:C4.D14φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:16C2448,298
C2.D56:17C2 = D7xD4:C4φ: C2/C1C2 ⊆ Out C2.D56112C2.D56:17C2448,303
C2.D56:18C2 = (D4xD7):C4φ: C2/C1C2 ⊆ Out C2.D56112C2.D56:18C2448,304
C2.D56:19C2 = D14:D8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:19C2448,309
C2.D56:20C2 = C7:C8:D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:20C2448,316
C2.D56:21C2 = D4:D7:C4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:21C2448,319
C2.D56:22C2 = Q8:(C4xD7)φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:22C2448,337
C2.D56:23C2 = Q8:2D7:C4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:23C2448,338
C2.D56:24C2 = D14:2SD16φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:24C2448,341
C2.D56:25C2 = C7:(C8:D4)φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:25C2448,346
C2.D56:26C2 = D14.5D8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:26C2448,416
C2.D56:27C2 = C2.D8:D7φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:27C2448,419
C2.D56:28C2 = Dic7:D8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:28C2448,684
C2.D56:29C2 = D28:D4φ: C2/C1C2 ⊆ Out C2.D56112C2.D56:29C2448,690
C2.D56:30C2 = D28.17D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:30C2448,721
C2.D56:31C2 = D14.4SD16φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:31C2448,397
C2.D56:32C2 = C4.Q8:D7φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:32C2448,400
C2.D56:33C2 = Dic7:5SD16φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:33C2448,697
C2.D56:34C2 = (C7xD4).D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:34C2448,699
C2.D56:35C2 = D14:6SD16φ: C2/C1C2 ⊆ Out C2.D56112C2.D56:35C2448,703
C2.D56:36C2 = D28:7D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:36C2448,706
C2.D56:37C2 = D56:C4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:37C2448,245
C2.D56:38C2 = C42.19D14φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:38C2448,247
C2.D56:39C2 = C23.48D28φ: C2/C1C2 ⊆ Out C2.D56112C2.D56:39C2448,665
C2.D56:40C2 = C23.49D28φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:40C2448,667
C2.D56:41C2 = C56:2D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:41C2448,668
C2.D56:42C2 = C56:3D4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56:42C2448,669
C2.D56:43C2 = C4xD56φ: trivial image224C2.D56:43C2448,226
C2.D56:44C2 = C23.23D28φ: trivial image224C2.D56:44C2448,647

Non-split extensions G=N.Q with N=C2.D56 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D56.1C2 = C42.264D14φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.1C2448,231
C2.D56.2C2 = C42.36D14φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.2C2448,379
C2.D56.3C2 = D28:4Q8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.3C2448,380
C2.D56.4C2 = D28.3Q8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.4C2448,381
C2.D56.5C2 = D28:3Q8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.5C2448,376
C2.D56.6C2 = Dic7:7SD16φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.6C2448,322
C2.D56.7C2 = Q8:C4:D7φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.7C2448,329
C2.D56.8C2 = Q8:Dic7:C2φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.8C2448,334
C2.D56.9C2 = Q8:D7:C4φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.9C2448,351
C2.D56.10C2 = D28:2Q8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.10C2448,424
C2.D56.11C2 = D28.2Q8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.11C2448,425
C2.D56.12C2 = (C2xQ16):D7φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.12C2448,719
C2.D56.13C2 = D28:Q8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.13C2448,404
C2.D56.14C2 = D28.Q8φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.14C2448,405
C2.D56.15C2 = C42.16D14φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.15C2448,244
C2.D56.16C2 = C42.20D14φ: C2/C1C2 ⊆ Out C2.D56224C2.D56.16C2448,248
C2.D56.17C2 = C4xC56:C2φ: trivial image224C2.D56.17C2448,225

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