Extensions 1→N→G→Q→1 with N=C3×C36 and Q=C22

Direct product G=N×Q with N=C3×C36 and Q=C22
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C3×C36 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3×C36)⋊1C22 = S3×D36φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36):1C2^2432,291
(C3×C36)⋊2C22 = D9×D12φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36):2C2^2432,292
(C3×C36)⋊3C22 = C36⋊D6φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36):3C2^2432,293
(C3×C36)⋊4C22 = C3×D4×D9φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36):4C2^2432,356
(C3×C36)⋊5C22 = D4×C9⋊S3φ: C22/C1C22 ⊆ Aut C3×C36108(C3xC36):5C2^2432,388
(C3×C36)⋊6C22 = C4×S3×D9φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36):6C2^2432,290
(C3×C36)⋊7C22 = S3×D4×C9φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36):7C2^2432,358
(C3×C36)⋊8C22 = S3×C2×C36φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36):8C2^2432,345
(C3×C36)⋊9C22 = C6×D36φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36):9C2^2432,343
(C3×C36)⋊10C22 = C2×C36⋊S3φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36):10C2^2432,382
(C3×C36)⋊11C22 = D9×C2×C12φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36):11C2^2432,342
(C3×C36)⋊12C22 = C2×C4×C9⋊S3φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36):12C2^2432,381
(C3×C36)⋊13C22 = C18×D12φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36):13C2^2432,346
(C3×C36)⋊14C22 = D4×C3×C18φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36):14C2^2432,403

Non-split extensions G=N.Q with N=C3×C36 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3×C36).1C22 = D36.S3φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).1C2^2432,62
(C3×C36).2C22 = C6.D36φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36).2C2^2432,63
(C3×C36).3C22 = C3⋊D72φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36).3C2^2432,64
(C3×C36).4C22 = C3⋊Dic36φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).4C2^2432,65
(C3×C36).5C22 = S3×Dic18φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).5C2^2432,284
(C3×C36).6C22 = D365S3φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).6C2^2432,288
(C3×C36).7C22 = Dic9.D6φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36).7C2^2432,289
(C3×C36).8C22 = D36⋊S3φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).8C2^2432,68
(C3×C36).9C22 = C9⋊D24φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36).9C2^2432,69
(C3×C36).10C22 = D12.D9φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).10C2^2432,70
(C3×C36).11C22 = C36.D6φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).11C2^2432,71
(C3×C36).12C22 = Dic6⋊D9φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).12C2^2432,72
(C3×C36).13C22 = C18.D12φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36).13C2^2432,73
(C3×C36).14C22 = C12.D18φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).14C2^2432,74
(C3×C36).15C22 = C9⋊Dic12φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).15C2^2432,75
(C3×C36).16C22 = C3×D4.D9φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).16C2^2432,148
(C3×C36).17C22 = C3×D4⋊D9φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).17C2^2432,149
(C3×C36).18C22 = C3×C9⋊Q16φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).18C2^2432,156
(C3×C36).19C22 = C3×Q82D9φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).19C2^2432,157
(C3×C36).20C22 = C36.17D6φ: C22/C1C22 ⊆ Aut C3×C36216(C3xC36).20C2^2432,190
(C3×C36).21C22 = C36.18D6φ: C22/C1C22 ⊆ Aut C3×C36216(C3xC36).21C2^2432,191
(C3×C36).22C22 = C36.19D6φ: C22/C1C22 ⊆ Aut C3×C36432(C3xC36).22C2^2432,194
(C3×C36).23C22 = C36.20D6φ: C22/C1C22 ⊆ Aut C3×C36216(C3xC36).23C2^2432,195
(C3×C36).24C22 = D9×Dic6φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).24C2^2432,280
(C3×C36).25C22 = D18.D6φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).25C2^2432,281
(C3×C36).26C22 = Dic65D9φ: C22/C1C22 ⊆ Aut C3×C36724+(C3xC36).26C2^2432,282
(C3×C36).27C22 = Dic18⋊S3φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).27C2^2432,283
(C3×C36).28C22 = D125D9φ: C22/C1C22 ⊆ Aut C3×C361444-(C3xC36).28C2^2432,285
(C3×C36).29C22 = D12⋊D9φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).29C2^2432,286
(C3×C36).30C22 = C3×D42D9φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).30C2^2432,357
(C3×C36).31C22 = C3×Q8×D9φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).31C2^2432,364
(C3×C36).32C22 = C3×Q83D9φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).32C2^2432,365
(C3×C36).33C22 = C36.27D6φ: C22/C1C22 ⊆ Aut C3×C36216(C3xC36).33C2^2432,389
(C3×C36).34C22 = Q8×C9⋊S3φ: C22/C1C22 ⊆ Aut C3×C36216(C3xC36).34C2^2432,392
(C3×C36).35C22 = C36.29D6φ: C22/C1C22 ⊆ Aut C3×C36216(C3xC36).35C2^2432,393
(C3×C36).36C22 = D9×C3⋊C8φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).36C2^2432,58
(C3×C36).37C22 = C36.38D6φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).37C2^2432,59
(C3×C36).38C22 = C36.39D6φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).38C2^2432,60
(C3×C36).39C22 = C36.40D6φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).39C2^2432,61
(C3×C36).40C22 = S3×C9⋊C8φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).40C2^2432,66
(C3×C36).41C22 = D6.Dic9φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).41C2^2432,67
(C3×C36).42C22 = D6.D18φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).42C2^2432,287
(C3×C36).43C22 = C9×D4⋊S3φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).43C2^2432,150
(C3×C36).44C22 = C9×D4.S3φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).44C2^2432,151
(C3×C36).45C22 = C9×Q82S3φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).45C2^2432,158
(C3×C36).46C22 = C9×C3⋊Q16φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).46C2^2432,159
(C3×C36).47C22 = C9×D42S3φ: C22/C1C22 ⊆ Aut C3×C36724(C3xC36).47C2^2432,359
(C3×C36).48C22 = S3×Q8×C9φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).48C2^2432,366
(C3×C36).49C22 = C9×Q83S3φ: C22/C1C22 ⊆ Aut C3×C361444(C3xC36).49C2^2432,367
(C3×C36).50C22 = S3×C72φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).50C2^2432,109
(C3×C36).51C22 = C9×C8⋊S3φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).51C2^2432,110
(C3×C36).52C22 = C18×C3⋊C8φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36).52C2^2432,126
(C3×C36).53C22 = C9×C4.Dic3φ: C22/C2C2 ⊆ Aut C3×C36722(C3xC36).53C2^2432,127
(C3×C36).54C22 = C9×C4○D12φ: C22/C2C2 ⊆ Aut C3×C36722(C3xC36).54C2^2432,347
(C3×C36).55C22 = C3×Dic36φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).55C2^2432,104
(C3×C36).56C22 = C3×C72⋊C2φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).56C2^2432,107
(C3×C36).57C22 = C3×D72φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).57C2^2432,108
(C3×C36).58C22 = C24.D9φ: C22/C2C2 ⊆ Aut C3×C36432(C3xC36).58C2^2432,168
(C3×C36).59C22 = C24⋊D9φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).59C2^2432,171
(C3×C36).60C22 = C721S3φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).60C2^2432,172
(C3×C36).61C22 = C6×Dic18φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36).61C2^2432,340
(C3×C36).62C22 = C3×D365C2φ: C22/C2C2 ⊆ Aut C3×C36722(C3xC36).62C2^2432,344
(C3×C36).63C22 = C2×C12.D9φ: C22/C2C2 ⊆ Aut C3×C36432(C3xC36).63C2^2432,380
(C3×C36).64C22 = C36.70D6φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).64C2^2432,383
(C3×C36).65C22 = D9×C24φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).65C2^2432,105
(C3×C36).66C22 = C3×C8⋊D9φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).66C2^2432,106
(C3×C36).67C22 = C6×C9⋊C8φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36).67C2^2432,124
(C3×C36).68C22 = C3×C4.Dic9φ: C22/C2C2 ⊆ Aut C3×C36722(C3xC36).68C2^2432,125
(C3×C36).69C22 = C8×C9⋊S3φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).69C2^2432,169
(C3×C36).70C22 = C72⋊S3φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).70C2^2432,170
(C3×C36).71C22 = C2×C36.S3φ: C22/C2C2 ⊆ Aut C3×C36432(C3xC36).71C2^2432,178
(C3×C36).72C22 = C36.69D6φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).72C2^2432,179
(C3×C36).73C22 = C9×C24⋊C2φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).73C2^2432,111
(C3×C36).74C22 = C9×D24φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).74C2^2432,112
(C3×C36).75C22 = C9×Dic12φ: C22/C2C2 ⊆ Aut C3×C361442(C3xC36).75C2^2432,113
(C3×C36).76C22 = D8×C3×C9φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).76C2^2432,215
(C3×C36).77C22 = SD16×C3×C9φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).77C2^2432,218
(C3×C36).78C22 = Q16×C3×C9φ: C22/C2C2 ⊆ Aut C3×C36432(C3xC36).78C2^2432,221
(C3×C36).79C22 = C18×Dic6φ: C22/C2C2 ⊆ Aut C3×C36144(C3xC36).79C2^2432,341
(C3×C36).80C22 = Q8×C3×C18φ: C22/C2C2 ⊆ Aut C3×C36432(C3xC36).80C2^2432,406
(C3×C36).81C22 = C4○D4×C3×C9φ: C22/C2C2 ⊆ Aut C3×C36216(C3xC36).81C2^2432,409
(C3×C36).82C22 = M4(2)×C3×C9central extension (φ=1)216(C3xC36).82C2^2432,212

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