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Extensions 1→N→G→Q→1 with N=C2.D24 and Q=C2

Direct product G=N×Q with N=C2.D24 and Q=C2
dρLabelID
C2×C2.D2496C2xC2.D24192,671

Semidirect products G=N:Q with N=C2.D24 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D24⋊1C2 = C4.5D24φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:1C2192,253
C2.D24⋊2C2 = C24⋊30D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:2C2192,673
C2.D24⋊3C2 = C24⋊29D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:3C2192,674
C2.D24⋊4C2 = D12⋊13D4φ: C2/C1 → C2 ⊆ Out C2.D2448C2.D24:4C2192,291
C2.D24⋊5C2 = D12.32D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:5C2192,292
C2.D24⋊6C2 = C22.D24φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:6C2192,295
C2.D24⋊7C2 = C4⋊D24φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:7C2192,402
C2.D24⋊8C2 = D12.31D4φ: C2/C1 → C2 ⊆ Out C2.D2448C2.D24:8C2192,290
C2.D24⋊9C2 = D12⋊14D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:9C2192,293
C2.D24⋊10C2 = C23.43D12φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:10C2192,294
C2.D24⋊11C2 = C23.18D12φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:11C2192,296
C2.D24⋊12C2 = D12.19D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:12C2192,403
C2.D24⋊13C2 = Dic6⋊8D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:13C2192,407
C2.D24⋊14C2 = D6.5D8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:14C2192,441
C2.D24⋊15C2 = C2.D8⋊S3φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:15C2192,444
C2.D24⋊16C2 = Dic3⋊D8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:16C2192,709
C2.D24⋊17C2 = D12⋊D4φ: C2/C1 → C2 ⊆ Out C2.D2448C2.D24:17C2192,715
C2.D24⋊18C2 = D12.17D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:18C2192,746
C2.D24⋊19C2 = Dic3⋊4D8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:19C2192,315
C2.D24⋊20C2 = Dic3.SD16φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:20C2192,319
C2.D24⋊21C2 = C4⋊C4.D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:21C2192,323
C2.D24⋊22C2 = S3×D4⋊C4φ: C2/C1 → C2 ⊆ Out C2.D2448C2.D24:22C2192,328
C2.D24⋊23C2 = C4⋊C4⋊19D6φ: C2/C1 → C2 ⊆ Out C2.D2448C2.D24:23C2192,329
C2.D24⋊24C2 = D6⋊D8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:24C2192,334
C2.D24⋊25C2 = C3⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:25C2192,341
C2.D24⋊26C2 = D4⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:26C2192,344
C2.D24⋊27C2 = Q8⋊7(C4×S3)φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:27C2192,362
C2.D24⋊28C2 = C4⋊C4.150D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:28C2192,363
C2.D24⋊29C2 = D6⋊2SD16φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:29C2192,366
C2.D24⋊30C2 = C3⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:30C2192,371
C2.D24⋊31C2 = D6.4SD16φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:31C2192,422
C2.D24⋊32C2 = C4.Q8⋊S3φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:32C2192,425
C2.D24⋊33C2 = Dic3⋊5SD16φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:33C2192,722
C2.D24⋊34C2 = (C3×D4).D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:34C2192,724
C2.D24⋊35C2 = D6⋊6SD16φ: C2/C1 → C2 ⊆ Out C2.D2448C2.D24:35C2192,728
C2.D24⋊36C2 = D12⋊7D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:36C2192,731
C2.D24⋊37C2 = D24⋊C4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:37C2192,270
C2.D24⋊38C2 = C42.19D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:38C2192,272
C2.D24⋊39C2 = C23.53D12φ: C2/C1 → C2 ⊆ Out C2.D2448C2.D24:39C2192,690
C2.D24⋊40C2 = C23.54D12φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:40C2192,692
C2.D24⋊41C2 = C24⋊2D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:41C2192,693
C2.D24⋊42C2 = C24⋊3D4φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24:42C2192,694
C2.D24⋊43C2 = C4×D24φ: trivial image96C2.D24:43C2192,251
C2.D24⋊44C2 = C23.28D12φ: trivial image96C2.D24:44C2192,672

Non-split extensions G=N.Q with N=C2.D24 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D24.1C2 = C42.264D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.1C2192,256
C2.D24.2C2 = C42.36D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.2C2192,404
C2.D24.3C2 = D12⋊4Q8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.3C2192,405
C2.D24.4C2 = D12.3Q8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.4C2192,406
C2.D24.5C2 = D12⋊3Q8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.5C2192,401
C2.D24.6C2 = D12⋊2Q8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.6C2192,449
C2.D24.7C2 = D12.2Q8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.7C2192,450
C2.D24.8C2 = (C2×Q16)⋊S3φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.8C2192,744
C2.D24.9C2 = Dic3⋊7SD16φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.9C2192,347
C2.D24.10C2 = (C2×C8).D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.10C2192,353
C2.D24.11C2 = Q8⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.11C2192,359
C2.D24.12C2 = Q8⋊3(C4×S3)φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.12C2192,376
C2.D24.13C2 = D12⋊Q8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.13C2192,429
C2.D24.14C2 = D12.Q8φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.14C2192,430
C2.D24.15C2 = C42.16D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.15C2192,269
C2.D24.16C2 = C42.20D6φ: C2/C1 → C2 ⊆ Out C2.D2496C2.D24.16C2192,273
C2.D24.17C2 = C4×C24⋊C2φ: trivial image96C2.D24.17C2192,250

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