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

Direct product G=N×Q with N=C24⋊1C4 and Q=C2
dρLabelID
C2×C24⋊1C4192C2xC24:1C4192,664

Semidirect products G=N:Q with N=C24⋊1C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24⋊1C4⋊1C2 = C2.D48φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:1C2192,68
C24⋊1C4⋊2C2 = C23.40D12φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:2C2192,281
C24⋊1C4⋊3C2 = C23.15D12φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:3C2192,282
C24⋊1C4⋊4C2 = C22.D24φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:4C2192,295
C24⋊1C4⋊5C2 = C23.18D12φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:5C2192,296
C24⋊1C4⋊6C2 = Dic3.D8φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:6C2192,318
C24⋊1C4⋊7C2 = D4.2Dic6φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:7C2192,325
C24⋊1C4⋊8C2 = D6.D8φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:8C2192,333
C24⋊1C4⋊9C2 = C24⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:9C2192,343
C24⋊1C4⋊10C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:10C2192,370
C24⋊1C4⋊11C2 = D6⋊C8.C2φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:11C2192,373
C24⋊1C4⋊12C2 = D12⋊4Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:12C2192,405
C24⋊1C4⋊13C2 = D12.3Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:13C2192,406
C24⋊1C4⋊14C2 = C24⋊29D4φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:14C2192,674
C24⋊1C4⋊15C2 = C24.82D4φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:15C2192,675
C24⋊1C4⋊16C2 = C42.16D6φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:16C2192,269
C24⋊1C4⋊17C2 = C23.52D12φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:17C2192,680
C24⋊1C4⋊18C2 = C24⋊2D4φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:18C2192,693
C24⋊1C4⋊19C2 = D8⋊1Dic3φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:19C2192,121
C24⋊1C4⋊20C2 = S3×C2.D8φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:20C2192,438
C24⋊1C4⋊21C2 = C8.27(C4×S3)φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:21C2192,439
C24⋊1C4⋊22C2 = Dic3×D8φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:22C2192,708
C24⋊1C4⋊23C2 = D6⋊3D8φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:23C2192,716
C24⋊1C4⋊24C2 = D6⋊3Q16φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:24C2192,747
C24⋊1C4⋊25C2 = C8⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:25C2192,420
C24⋊1C4⋊26C2 = SD16⋊Dic3φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:26C2192,723
C24⋊1C4⋊27C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out C24⋊1C496C24:1C4:27C2192,733
C24⋊1C4⋊28C2 = C4×D24φ: trivial image96C24:1C4:28C2192,251
C24⋊1C4⋊29C2 = C23.27D12φ: trivial image96C24:1C4:29C2192,665

Non-split extensions G=N.Q with N=C24⋊1C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24⋊1C4.1C2 = C2.Dic24φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.1C2192,62
C24⋊1C4.2C2 = C48⋊5C4φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.2C2192,63
C24⋊1C4.3C2 = C48⋊6C4φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.3C2192,64
C24⋊1C4.4C2 = C24⋊8Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.4C2192,241
C24⋊1C4.5C2 = C24.13Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.5C2192,242
C24⋊1C4.6C2 = Q8⋊3Dic6φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.6C2192,352
C24⋊1C4.7C2 = Q8.3Dic6φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.7C2192,355
C24⋊1C4.8C2 = Dic6.3Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.8C2192,388
C24⋊1C4.9C2 = Dic6⋊3Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.9C2192,409
C24⋊1C4.10C2 = C8⋊Dic6φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.10C2192,261
C24⋊1C4.11C2 = C6.6D16φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.11C2192,48
C24⋊1C4.12C2 = C6.SD32φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.12C2192,49
C24⋊1C4.13C2 = C6.5Q32φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.13C2192,123
C24⋊1C4.14C2 = C24⋊2Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.14C2192,433
C24⋊1C4.15C2 = C8.6Dic6φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.15C2192,437
C24⋊1C4.16C2 = Dic3×Q16φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.16C2192,740
C24⋊1C4.17C2 = C24⋊3Q8φ: C2/C1 → C2 ⊆ Out C24⋊1C4192C24:1C4.17C2192,415
C24⋊1C4.18C2 = C4×Dic12φ: trivial image192C24:1C4.18C2192,257

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