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

Direct product G=NxQ with N=C24:1C4 and Q=C2
dρLabelID
C2xC24:1C4192C2xC24:1C4192,664

Semidirect products G=N:Q with N=C24:1C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24:1C4:1C2 = C2.D48φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:1C2192,68
C24:1C4:2C2 = C23.40D12φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:2C2192,281
C24:1C4:3C2 = C23.15D12φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:3C2192,282
C24:1C4:4C2 = C22.D24φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:4C2192,295
C24:1C4:5C2 = C23.18D12φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:5C2192,296
C24:1C4:6C2 = Dic3.D8φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:6C2192,318
C24:1C4:7C2 = D4.2Dic6φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:7C2192,325
C24:1C4:8C2 = D6.D8φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:8C2192,333
C24:1C4:9C2 = C24:1C4:C2φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:9C2192,343
C24:1C4:10C2 = D6.Q16φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:10C2192,370
C24:1C4:11C2 = D6:C8.C2φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:11C2192,373
C24:1C4:12C2 = D12:4Q8φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:12C2192,405
C24:1C4:13C2 = D12.3Q8φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:13C2192,406
C24:1C4:14C2 = C24:29D4φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:14C2192,674
C24:1C4:15C2 = C24.82D4φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:15C2192,675
C24:1C4:16C2 = C42.16D6φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:16C2192,269
C24:1C4:17C2 = C23.52D12φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:17C2192,680
C24:1C4:18C2 = C24:2D4φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:18C2192,693
C24:1C4:19C2 = D8:1Dic3φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:19C2192,121
C24:1C4:20C2 = S3xC2.D8φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:20C2192,438
C24:1C4:21C2 = C8.27(C4xS3)φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:21C2192,439
C24:1C4:22C2 = Dic3xD8φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:22C2192,708
C24:1C4:23C2 = D6:3D8φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:23C2192,716
C24:1C4:24C2 = D6:3Q16φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:24C2192,747
C24:1C4:25C2 = C8:(C4xS3)φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:25C2192,420
C24:1C4:26C2 = SD16:Dic3φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:26C2192,723
C24:1C4:27C2 = C24:8D4φ: C2/C1C2 ⊆ Out C24:1C496C24:1C4:27C2192,733
C24:1C4:28C2 = C4xD24φ: 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/C1C2 ⊆ Out C24:1C4192C24:1C4.1C2192,62
C24:1C4.2C2 = C48:5C4φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.2C2192,63
C24:1C4.3C2 = C48:6C4φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.3C2192,64
C24:1C4.4C2 = C24:8Q8φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.4C2192,241
C24:1C4.5C2 = C24.13Q8φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.5C2192,242
C24:1C4.6C2 = Q8:3Dic6φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.6C2192,352
C24:1C4.7C2 = Q8.3Dic6φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.7C2192,355
C24:1C4.8C2 = Dic6.3Q8φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.8C2192,388
C24:1C4.9C2 = Dic6:3Q8φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.9C2192,409
C24:1C4.10C2 = C8:Dic6φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.10C2192,261
C24:1C4.11C2 = C6.6D16φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.11C2192,48
C24:1C4.12C2 = C6.SD32φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.12C2192,49
C24:1C4.13C2 = C6.5Q32φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.13C2192,123
C24:1C4.14C2 = C24:2Q8φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.14C2192,433
C24:1C4.15C2 = C8.6Dic6φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.15C2192,437
C24:1C4.16C2 = Dic3xQ16φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.16C2192,740
C24:1C4.17C2 = C24:3Q8φ: C2/C1C2 ⊆ Out C24:1C4192C24:1C4.17C2192,415
C24:1C4.18C2 = C4xDic12φ: trivial image192C24:1C4.18C2192,257

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