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

Direct product G=N×Q with N=C56⋊C4 and Q=C2
dρLabelID
C2×C56⋊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 = D7×C8⋊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)×Dic7φ: 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 = C4×C8⋊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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