Extensions 1→N→G→Q→1 with N=C241C4 and Q=C2

Direct product G=N×Q with N=C241C4 and Q=C2
dρLabelID
C2×C241C4192C2xC24:1C4192,664

Semidirect products G=N:Q with N=C241C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C241C41C2 = C2.D48φ: C2/C1C2 ⊆ Out C241C496C24:1C4:1C2192,68
C241C42C2 = C23.40D12φ: C2/C1C2 ⊆ Out C241C496C24:1C4:2C2192,281
C241C43C2 = C23.15D12φ: C2/C1C2 ⊆ Out C241C496C24:1C4:3C2192,282
C241C44C2 = C22.D24φ: C2/C1C2 ⊆ Out C241C496C24:1C4:4C2192,295
C241C45C2 = C23.18D12φ: C2/C1C2 ⊆ Out C241C496C24:1C4:5C2192,296
C241C46C2 = Dic3.D8φ: C2/C1C2 ⊆ Out C241C496C24:1C4:6C2192,318
C241C47C2 = D4.2Dic6φ: C2/C1C2 ⊆ Out C241C496C24:1C4:7C2192,325
C241C48C2 = D6.D8φ: C2/C1C2 ⊆ Out C241C496C24:1C4:8C2192,333
C241C49C2 = C241C4⋊C2φ: C2/C1C2 ⊆ Out C241C496C24:1C4:9C2192,343
C241C410C2 = D6.Q16φ: C2/C1C2 ⊆ Out C241C496C24:1C4:10C2192,370
C241C411C2 = D6⋊C8.C2φ: C2/C1C2 ⊆ Out C241C496C24:1C4:11C2192,373
C241C412C2 = D124Q8φ: C2/C1C2 ⊆ Out C241C496C24:1C4:12C2192,405
C241C413C2 = D12.3Q8φ: C2/C1C2 ⊆ Out C241C496C24:1C4:13C2192,406
C241C414C2 = C2429D4φ: C2/C1C2 ⊆ Out C241C496C24:1C4:14C2192,674
C241C415C2 = C24.82D4φ: C2/C1C2 ⊆ Out C241C496C24:1C4:15C2192,675
C241C416C2 = C42.16D6φ: C2/C1C2 ⊆ Out C241C496C24:1C4:16C2192,269
C241C417C2 = C23.52D12φ: C2/C1C2 ⊆ Out C241C496C24:1C4:17C2192,680
C241C418C2 = C242D4φ: C2/C1C2 ⊆ Out C241C496C24:1C4:18C2192,693
C241C419C2 = D81Dic3φ: C2/C1C2 ⊆ Out C241C496C24:1C4:19C2192,121
C241C420C2 = S3×C2.D8φ: C2/C1C2 ⊆ Out C241C496C24:1C4:20C2192,438
C241C421C2 = C8.27(C4×S3)φ: C2/C1C2 ⊆ Out C241C496C24:1C4:21C2192,439
C241C422C2 = Dic3×D8φ: C2/C1C2 ⊆ Out C241C496C24:1C4:22C2192,708
C241C423C2 = D63D8φ: C2/C1C2 ⊆ Out C241C496C24:1C4:23C2192,716
C241C424C2 = D63Q16φ: C2/C1C2 ⊆ Out C241C496C24:1C4:24C2192,747
C241C425C2 = C8⋊(C4×S3)φ: C2/C1C2 ⊆ Out C241C496C24:1C4:25C2192,420
C241C426C2 = SD16⋊Dic3φ: C2/C1C2 ⊆ Out C241C496C24:1C4:26C2192,723
C241C427C2 = C248D4φ: C2/C1C2 ⊆ Out C241C496C24:1C4:27C2192,733
C241C428C2 = C4×D24φ: trivial image96C24:1C4:28C2192,251
C241C429C2 = C23.27D12φ: trivial image96C24:1C4:29C2192,665

Non-split extensions G=N.Q with N=C241C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C241C4.1C2 = C2.Dic24φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.1C2192,62
C241C4.2C2 = C485C4φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.2C2192,63
C241C4.3C2 = C486C4φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.3C2192,64
C241C4.4C2 = C248Q8φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.4C2192,241
C241C4.5C2 = C24.13Q8φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.5C2192,242
C241C4.6C2 = Q83Dic6φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.6C2192,352
C241C4.7C2 = Q8.3Dic6φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.7C2192,355
C241C4.8C2 = Dic6.3Q8φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.8C2192,388
C241C4.9C2 = Dic63Q8φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.9C2192,409
C241C4.10C2 = C8⋊Dic6φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.10C2192,261
C241C4.11C2 = C6.6D16φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.11C2192,48
C241C4.12C2 = C6.SD32φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.12C2192,49
C241C4.13C2 = C6.5Q32φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.13C2192,123
C241C4.14C2 = C242Q8φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.14C2192,433
C241C4.15C2 = C8.6Dic6φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.15C2192,437
C241C4.16C2 = Dic3×Q16φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.16C2192,740
C241C4.17C2 = C243Q8φ: C2/C1C2 ⊆ Out C241C4192C24:1C4.17C2192,415
C241C4.18C2 = C4×Dic12φ: trivial image192C24:1C4.18C2192,257

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