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Extensions 1→N→G→Q→1 with N=C24⋊C4 and Q=C2

Direct product G=N×Q with N=C24⋊C4 and Q=C2
dρLabelID
C2×C24⋊C4192C2xC24:C4192,659

Semidirect products G=N:Q with N=C24⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24⋊C4⋊1C2 = D24⋊10C4φ: C2/C1 → C2 ⊆ Out C24⋊C4484C24:C4:1C2192,453
C24⋊C4⋊2C2 = D8⋊4Dic3φ: C2/C1 → C2 ⊆ Out C24⋊C4484C24:C4:2C2192,756
C24⋊C4⋊3C2 = D24⋊9C4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:3C2192,428
C24⋊C4⋊4C2 = SD16⋊Dic3φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:4C2192,723
C24⋊C4⋊5C2 = C24.31D4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:5C2192,726
C24⋊C4⋊6C2 = C24⋊9D4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:6C2192,735
C24⋊C4⋊7C2 = C24⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:7C2192,448
C24⋊C4⋊8C2 = D8⋊Dic3φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:8C2192,711
C24⋊C4⋊9C2 = C24⋊11D4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:9C2192,713
C24⋊C4⋊10C2 = C24.37D4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:10C2192,749
C24⋊C4⋊11C2 = Dic3.M4(2)φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:11C2192,278
C24⋊C4⋊12C2 = C24⋊C4⋊C2φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:12C2192,279
C24⋊C4⋊13C2 = D6⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:13C2192,287
C24⋊C4⋊14C2 = C3⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:14C2192,289
C24⋊C4⋊15C2 = D4.S3⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:15C2192,316
C24⋊C4⋊16C2 = C4⋊C4.D6φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:16C2192,323
C24⋊C4⋊17C2 = C12⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:17C2192,324
C24⋊C4⋊18C2 = D4⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:18C2192,344
C24⋊C4⋊19C2 = (C2×C8).D6φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:19C2192,353
C24⋊C4⋊20C2 = Q8⋊3(C4×S3)φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:20C2192,376
C24⋊C4⋊21C2 = C42.202D6φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:21C2192,394
C24⋊C4⋊22C2 = C42.31D6φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:22C2192,399
C24⋊C4⋊23C2 = C24⋊33D4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:23C2192,670
C24⋊C4⋊24C2 = S3×C8⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:24C2192,263
C24⋊C4⋊25C2 = D6.4C42φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:25C2192,267
C24⋊C4⋊26C2 = Dic3×M4(2)φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:26C2192,676
C24⋊C4⋊27C2 = C12.7C42φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:27C2192,681
C24⋊C4⋊28C2 = C24⋊D4φ: C2/C1 → C2 ⊆ Out C24⋊C496C24:C4:28C2192,686
C24⋊C4⋊29C2 = C24.54D4φ: C2/C1 → C2 ⊆ Out C24⋊C4484C24:C4:29C2192,704
C24⋊C4⋊30C2 = C4×C8⋊S3φ: trivial image96C24:C4:30C2192,246
C24⋊C4⋊31C2 = D6.C42φ: trivial image96C24:C4:31C2192,248
C24⋊C4⋊32C2 = C12.12C42φ: trivial image96C24:C4:32C2192,660

Non-split extensions G=N.Q with N=C24⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24⋊C4.1C2 = Dic12⋊9C4φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.1C2192,412
C24⋊C4.2C2 = C24⋊3Q8φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.2C2192,415
C24⋊C4.3C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.3C2192,435
C24⋊C4.4C2 = Q16⋊Dic3φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.4C2192,743
C24⋊C4.5C2 = C24⋊12Q8φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.5C2192,238
C24⋊C4.6C2 = C3⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.6C2192,348
C24⋊C4.7C2 = (C2×Q8).36D6φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.7C2192,356
C24⋊C4.8C2 = C42.27D6φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.8C2192,387
C24⋊C4.9C2 = C42.198D6φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.9C2192,390
C24⋊C4.10C2 = C48⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊C4484C24:C4.10C2192,71
C24⋊C4.11C2 = C24⋊Q8φ: C2/C1 → C2 ⊆ Out C24⋊C4192C24:C4.11C2192,260

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