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Extensions 1→N→G→Q→1 with N=C6×C24 and Q=C2

Direct product G=N×Q with N=C6×C24 and Q=C2
dρLabelID
C2×C6×C24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C6×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C24)⋊1C2 = C3×D6⋊C8φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24):1C2288,254
(C6×C24)⋊2C2 = C3×C2.D24φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24):2C2288,255
(C6×C24)⋊3C2 = C12.60D12φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):3C2288,295
(C6×C24)⋊4C2 = C62.84D4φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):4C2288,296
(C6×C24)⋊5C2 = C32×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):5C2288,316
(C6×C24)⋊6C2 = C32×D4⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):6C2288,320
(C6×C24)⋊7C2 = C2×C32⋊5D8φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):7C2288,760
(C6×C24)⋊8C2 = C24.78D6φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):8C2288,761
(C6×C24)⋊9C2 = C3×C4○D24φ: C2/C1 → C2 ⊆ Aut C6×C24482(C6xC24):9C2288,675
(C6×C24)⋊10C2 = C6×D24φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24):10C2288,674
(C6×C24)⋊11C2 = C2×C24⋊2S3φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):11C2288,759
(C6×C24)⋊12C2 = C6×C24⋊C2φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24):12C2288,673
(C6×C24)⋊13C2 = D8×C3×C6φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):13C2288,829
(C6×C24)⋊14C2 = C32×C4○D8φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):14C2288,832
(C6×C24)⋊15C2 = S3×C2×C24φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24):15C2288,670
(C6×C24)⋊16C2 = C2×C8×C3⋊S3φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):16C2288,756
(C6×C24)⋊17C2 = C2×C24⋊S3φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):17C2288,757
(C6×C24)⋊18C2 = C24.95D6φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):18C2288,758
(C6×C24)⋊19C2 = C6×C8⋊S3φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24):19C2288,671
(C6×C24)⋊20C2 = C3×C8○D12φ: C2/C1 → C2 ⊆ Aut C6×C24482(C6xC24):20C2288,672
(C6×C24)⋊21C2 = SD16×C3×C6φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):21C2288,830
(C6×C24)⋊22C2 = M4(2)×C3×C6φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):22C2288,827
(C6×C24)⋊23C2 = C32×C8○D4φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24):23C2288,828

Non-split extensions G=N.Q with N=C6×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C24).1C2 = C3×Dic3⋊C8φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).1C2288,248
(C6×C24).2C2 = C3×C2.Dic12φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).2C2288,250
(C6×C24).3C2 = C12.30Dic6φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).3C2288,289
(C6×C24).4C2 = C6.4Dic12φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).4C2288,291
(C6×C24).5C2 = C32×Q8⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).5C2288,321
(C6×C24).6C2 = C32×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).6C2288,323
(C6×C24).7C2 = C24⋊1Dic3φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).7C2288,293
(C6×C24).8C2 = C2×C32⋊5Q16φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).8C2288,762
(C6×C24).9C2 = C12.59D12φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24).9C2288,294
(C6×C24).10C2 = C3×C24.C4φ: C2/C1 → C2 ⊆ Aut C6×C24482(C6xC24).10C2288,253
(C6×C24).11C2 = C3×C24⋊1C4φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).11C2288,252
(C6×C24).12C2 = C6×Dic12φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).12C2288,676
(C6×C24).13C2 = C24⋊2Dic3φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).13C2288,292
(C6×C24).14C2 = C3×C8⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).14C2288,251
(C6×C24).15C2 = C32×C2.D8φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).15C2288,325
(C6×C24).16C2 = Q16×C3×C6φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).16C2288,831
(C6×C24).17C2 = C32×C8.C4φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24).17C2288,326
(C6×C24).18C2 = C6×C3⋊C16φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).18C2288,245
(C6×C24).19C2 = Dic3×C24φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).19C2288,247
(C6×C24).20C2 = C2×C24.S3φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).20C2288,286
(C6×C24).21C2 = C24.94D6φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24).21C2288,287
(C6×C24).22C2 = C8×C3⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).22C2288,288
(C6×C24).23C2 = C24⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).23C2288,290
(C6×C24).24C2 = C3×C12.C8φ: C2/C1 → C2 ⊆ Aut C6×C24482(C6xC24).24C2288,246
(C6×C24).25C2 = C3×C24⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C2496(C6xC24).25C2288,249
(C6×C24).26C2 = C32×C4.Q8φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).26C2288,324
(C6×C24).27C2 = C32×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C24288(C6xC24).27C2288,315
(C6×C24).28C2 = C32×M5(2)φ: C2/C1 → C2 ⊆ Aut C6×C24144(C6xC24).28C2288,328

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