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

Direct product G=N×Q with N=C2.D56 and Q=C2
dρLabelID
C2×C2.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/C1 → C2 ⊆ Out C2.D56224C2.D56:1C2448,228
C2.D56⋊2C2 = C56⋊30D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:2C2448,648
C2.D56⋊3C2 = C56⋊29D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:3C2448,649
C2.D56⋊4C2 = D28⋊13D4φ: C2/C1 → C2 ⊆ Out C2.D56112C2.D56:4C2448,266
C2.D56⋊5C2 = D28.32D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:5C2448,267
C2.D56⋊6C2 = C22.D56φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:6C2448,270
C2.D56⋊7C2 = C4⋊D56φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:7C2448,377
C2.D56⋊8C2 = D28.31D4φ: C2/C1 → C2 ⊆ Out C2.D56112C2.D56:8C2448,265
C2.D56⋊9C2 = D28⋊14D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:9C2448,268
C2.D56⋊10C2 = C23.38D28φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:10C2448,269
C2.D56⋊11C2 = C23.13D28φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:11C2448,271
C2.D56⋊12C2 = D28.19D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:12C2448,378
C2.D56⋊13C2 = Dic14⋊8D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:13C2448,382
C2.D56⋊14C2 = Dic7⋊4D8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:14C2448,290
C2.D56⋊15C2 = Dic7.SD16φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:15C2448,294
C2.D56⋊16C2 = C4⋊C4.D14φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:16C2448,298
C2.D56⋊17C2 = D7×D4⋊C4φ: C2/C1 → C2 ⊆ Out C2.D56112C2.D56:17C2448,303
C2.D56⋊18C2 = (D4×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C2.D56112C2.D56:18C2448,304
C2.D56⋊19C2 = D14⋊D8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:19C2448,309
C2.D56⋊20C2 = C7⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:20C2448,316
C2.D56⋊21C2 = D4⋊D7⋊C4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:21C2448,319
C2.D56⋊22C2 = Q8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:22C2448,337
C2.D56⋊23C2 = Q8⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:23C2448,338
C2.D56⋊24C2 = D14⋊2SD16φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:24C2448,341
C2.D56⋊25C2 = C7⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:25C2448,346
C2.D56⋊26C2 = D14.5D8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:26C2448,416
C2.D56⋊27C2 = C2.D8⋊D7φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:27C2448,419
C2.D56⋊28C2 = Dic7⋊D8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:28C2448,684
C2.D56⋊29C2 = D28⋊D4φ: C2/C1 → C2 ⊆ Out C2.D56112C2.D56:29C2448,690
C2.D56⋊30C2 = D28.17D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:30C2448,721
C2.D56⋊31C2 = D14.4SD16φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:31C2448,397
C2.D56⋊32C2 = C4.Q8⋊D7φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:32C2448,400
C2.D56⋊33C2 = Dic7⋊5SD16φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:33C2448,697
C2.D56⋊34C2 = (C7×D4).D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:34C2448,699
C2.D56⋊35C2 = D14⋊6SD16φ: C2/C1 → C2 ⊆ Out C2.D56112C2.D56:35C2448,703
C2.D56⋊36C2 = D28⋊7D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:36C2448,706
C2.D56⋊37C2 = D56⋊C4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:37C2448,245
C2.D56⋊38C2 = C42.19D14φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:38C2448,247
C2.D56⋊39C2 = C23.48D28φ: C2/C1 → C2 ⊆ Out C2.D56112C2.D56:39C2448,665
C2.D56⋊40C2 = C23.49D28φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:40C2448,667
C2.D56⋊41C2 = C56⋊2D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:41C2448,668
C2.D56⋊42C2 = C56⋊3D4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56:42C2448,669
C2.D56⋊43C2 = C4×D56φ: 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/C1 → C2 ⊆ Out C2.D56224C2.D56.1C2448,231
C2.D56.2C2 = C42.36D14φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.2C2448,379
C2.D56.3C2 = D28⋊4Q8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.3C2448,380
C2.D56.4C2 = D28.3Q8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.4C2448,381
C2.D56.5C2 = D28⋊3Q8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.5C2448,376
C2.D56.6C2 = Dic7⋊7SD16φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.6C2448,322
C2.D56.7C2 = Q8⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.7C2448,329
C2.D56.8C2 = Q8⋊Dic7⋊C2φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.8C2448,334
C2.D56.9C2 = Q8⋊D7⋊C4φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.9C2448,351
C2.D56.10C2 = D28⋊2Q8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.10C2448,424
C2.D56.11C2 = D28.2Q8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.11C2448,425
C2.D56.12C2 = (C2×Q16)⋊D7φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.12C2448,719
C2.D56.13C2 = D28⋊Q8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.13C2448,404
C2.D56.14C2 = D28.Q8φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.14C2448,405
C2.D56.15C2 = C42.16D14φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.15C2448,244
C2.D56.16C2 = C42.20D14φ: C2/C1 → C2 ⊆ Out C2.D56224C2.D56.16C2448,248
C2.D56.17C2 = C4×C56⋊C2φ: trivial image224C2.D56.17C2448,225

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