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Extensions 1→N→G→Q→1 with N=C56:C4 and Q=C2

Direct product G=NxQ with N=C56:C4 and Q=C2
dρLabelID
C2xC56:C4448C2xC56:C4448,634

Semidirect products G=N:Q with N=C56:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C56:C4:1C2 = D56:10C4φ: C2/C1 → C2 ⊆ Out C56:C41124C56:C4:1C2448,428
C56:C4:2C2 = D8:4Dic7φ: C2/C1 → C2 ⊆ Out C56:C41124C56:C4:2C2448,731
C56:C4:3C2 = D56:9C4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:3C2448,403
C56:C4:4C2 = SD16:Dic7φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:4C2448,698
C56:C4:5C2 = C56.31D4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:5C2448,701
C56:C4:6C2 = C56:9D4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:6C2448,710
C56:C4:7C2 = C56:C2:C4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:7C2448,423
C56:C4:8C2 = D8:Dic7φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:8C2448,686
C56:C4:9C2 = C56:11D4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:9C2448,688
C56:C4:10C2 = C56.37D4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:10C2448,724
C56:C4:11C2 = Dic7.M4(2)φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:11C2448,253
C56:C4:12C2 = C56:C4:C2φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:12C2448,254
C56:C4:13C2 = D14:2M4(2)φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:13C2448,262
C56:C4:14C2 = C7:C8:26D4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:14C2448,264
C56:C4:15C2 = D4.D7:C4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:15C2448,291
C56:C4:16C2 = C4:C4.D14φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:16C2448,298
C56:C4:17C2 = C28:Q8:C2φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:17C2448,299
C56:C4:18C2 = D4:D7:C4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:18C2448,319
C56:C4:19C2 = Q8:C4:D7φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:19C2448,329
C56:C4:20C2 = Q8:D7:C4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:20C2448,351
C56:C4:21C2 = C42.202D14φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:21C2448,369
C56:C4:22C2 = C42.31D14φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:22C2448,374
C56:C4:23C2 = C56:32D4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:23C2448,645
C56:C4:24C2 = D7xC8:C4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:24C2448,238
C56:C4:25C2 = D14.4C42φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:25C2448,242
C56:C4:26C2 = M4(2)xDic7φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:26C2448,651
C56:C4:27C2 = C28.7C42φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:27C2448,656
C56:C4:28C2 = C56:D4φ: C2/C1 → C2 ⊆ Out C56:C4224C56:C4:28C2448,661
C56:C4:29C2 = C56.50D4φ: C2/C1 → C2 ⊆ Out C56:C41124C56:C4:29C2448,679
C56:C4:30C2 = C4xC8:D7φ: trivial image224C56:C4:30C2448,221
C56:C4:31C2 = D14.C42φ: trivial image224C56:C4:31C2448,223
C56:C4:32C2 = C28.12C42φ: trivial image224C56:C4:32C2448,635

Non-split extensions G=N.Q with N=C56:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C56:C4.1C2 = Dic28:9C4φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.1C2448,387
C56:C4.2C2 = C56:3Q8φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.2C2448,390
C56:C4.3C2 = C56:4Q8φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.3C2448,410
C56:C4.4C2 = Q16:Dic7φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.4C2448,718
C56:C4.5C2 = C56:11Q8φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.5C2448,213
C56:C4.6C2 = C7:Q16:C4φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.6C2448,323
C56:C4.7C2 = C56:C4.C2φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.7C2448,331
C56:C4.8C2 = C42.27D14φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.8C2448,362
C56:C4.9C2 = C28.M4(2)φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.9C2448,365
C56:C4.10C2 = C112:C4φ: C2/C1 → C2 ⊆ Out C56:C41124C56:C4.10C2448,69
C56:C4.11C2 = C56:Q8φ: C2/C1 → C2 ⊆ Out C56:C4448C56:C4.11C2448,235

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