Extensions 1→N→G→Q→1 with N=C6xC24 and Q=C2

Direct product G=NxQ with N=C6xC24 and Q=C2
dρLabelID
C2xC6xC24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C6xC24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6xC24):1C2 = C3xD6:C8φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24):1C2288,254
(C6xC24):2C2 = C3xC2.D24φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24):2C2288,255
(C6xC24):3C2 = C12.60D12φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):3C2288,295
(C6xC24):4C2 = C62.84D4φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):4C2288,296
(C6xC24):5C2 = C32xC22:C8φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):5C2288,316
(C6xC24):6C2 = C32xD4:C4φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):6C2288,320
(C6xC24):7C2 = C2xC32:5D8φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):7C2288,760
(C6xC24):8C2 = C24.78D6φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):8C2288,761
(C6xC24):9C2 = C3xC4oD24φ: C2/C1C2 ⊆ Aut C6xC24482(C6xC24):9C2288,675
(C6xC24):10C2 = C6xD24φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24):10C2288,674
(C6xC24):11C2 = C2xC24:2S3φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):11C2288,759
(C6xC24):12C2 = C6xC24:C2φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24):12C2288,673
(C6xC24):13C2 = D8xC3xC6φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):13C2288,829
(C6xC24):14C2 = C32xC4oD8φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):14C2288,832
(C6xC24):15C2 = S3xC2xC24φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24):15C2288,670
(C6xC24):16C2 = C2xC8xC3:S3φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):16C2288,756
(C6xC24):17C2 = C2xC24:S3φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):17C2288,757
(C6xC24):18C2 = C24.95D6φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):18C2288,758
(C6xC24):19C2 = C6xC8:S3φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24):19C2288,671
(C6xC24):20C2 = C3xC8oD12φ: C2/C1C2 ⊆ Aut C6xC24482(C6xC24):20C2288,672
(C6xC24):21C2 = SD16xC3xC6φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):21C2288,830
(C6xC24):22C2 = M4(2)xC3xC6φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):22C2288,827
(C6xC24):23C2 = C32xC8oD4φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24):23C2288,828

Non-split extensions G=N.Q with N=C6xC24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6xC24).1C2 = C3xDic3:C8φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).1C2288,248
(C6xC24).2C2 = C3xC2.Dic12φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).2C2288,250
(C6xC24).3C2 = C12.30Dic6φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).3C2288,289
(C6xC24).4C2 = C6.4Dic12φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).4C2288,291
(C6xC24).5C2 = C32xQ8:C4φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).5C2288,321
(C6xC24).6C2 = C32xC4:C8φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).6C2288,323
(C6xC24).7C2 = C24:1Dic3φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).7C2288,293
(C6xC24).8C2 = C2xC32:5Q16φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).8C2288,762
(C6xC24).9C2 = C12.59D12φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24).9C2288,294
(C6xC24).10C2 = C3xC24.C4φ: C2/C1C2 ⊆ Aut C6xC24482(C6xC24).10C2288,253
(C6xC24).11C2 = C3xC24:1C4φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).11C2288,252
(C6xC24).12C2 = C6xDic12φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).12C2288,676
(C6xC24).13C2 = C24:2Dic3φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).13C2288,292
(C6xC24).14C2 = C3xC8:Dic3φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).14C2288,251
(C6xC24).15C2 = C32xC2.D8φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).15C2288,325
(C6xC24).16C2 = Q16xC3xC6φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).16C2288,831
(C6xC24).17C2 = C32xC8.C4φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24).17C2288,326
(C6xC24).18C2 = C6xC3:C16φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).18C2288,245
(C6xC24).19C2 = Dic3xC24φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).19C2288,247
(C6xC24).20C2 = C2xC24.S3φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).20C2288,286
(C6xC24).21C2 = C24.94D6φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24).21C2288,287
(C6xC24).22C2 = C8xC3:Dic3φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).22C2288,288
(C6xC24).23C2 = C24:Dic3φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).23C2288,290
(C6xC24).24C2 = C3xC12.C8φ: C2/C1C2 ⊆ Aut C6xC24482(C6xC24).24C2288,246
(C6xC24).25C2 = C3xC24:C4φ: C2/C1C2 ⊆ Aut C6xC2496(C6xC24).25C2288,249
(C6xC24).26C2 = C32xC4.Q8φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).26C2288,324
(C6xC24).27C2 = C32xC8:C4φ: C2/C1C2 ⊆ Aut C6xC24288(C6xC24).27C2288,315
(C6xC24).28C2 = C32xM5(2)φ: C2/C1C2 ⊆ Aut C6xC24144(C6xC24).28C2288,328

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