Extensions 1→N→G→Q→1 with N=C6×C18 and Q=C22

Direct product G=N×Q with N=C6×C18 and Q=C22
dρLabelID
C22×C6×C18432C2^2xC6xC18432,562

Semidirect products G=N:Q with N=C6×C18 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C6×C18)⋊1C22 = S3×D4×C9φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18):1C2^2432,358
(C6×C18)⋊2C22 = S3×C9⋊D4φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18):2C2^2432,313
(C6×C18)⋊3C22 = D9×C3⋊D4φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18):3C2^2432,314
(C6×C18)⋊4C22 = D18⋊D6φ: C22/C1C22 ⊆ Aut C6×C18364+(C6xC18):4C2^2432,315
(C6×C18)⋊5C22 = C3×D4×D9φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18):5C2^2432,356
(C6×C18)⋊6C22 = D4×C9⋊S3φ: C22/C1C22 ⊆ Aut C6×C18108(C6xC18):6C2^2432,388
(C6×C18)⋊7C22 = C22×S3×D9φ: C22/C1C22 ⊆ Aut C6×C1872(C6xC18):7C2^2432,544
(C6×C18)⋊8C22 = C18×C3⋊D4φ: C22/C2C2 ⊆ Aut C6×C1872(C6xC18):8C2^2432,375
(C6×C18)⋊9C22 = D4×C3×C18φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18):9C2^2432,403
(C6×C18)⋊10C22 = S3×C22×C18φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18):10C2^2432,557
(C6×C18)⋊11C22 = C6×C9⋊D4φ: C22/C2C2 ⊆ Aut C6×C1872(C6xC18):11C2^2432,374
(C6×C18)⋊12C22 = C2×C6.D18φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18):12C2^2432,397
(C6×C18)⋊13C22 = D9×C22×C6φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18):13C2^2432,556
(C6×C18)⋊14C22 = C23×C9⋊S3φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18):14C2^2432,560

Non-split extensions G=N.Q with N=C6×C18 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C6×C18).1C22 = C9×D42S3φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18).1C2^2432,359
(C6×C18).2C22 = Dic3×Dic9φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).2C2^2432,87
(C6×C18).3C22 = Dic9⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).3C2^2432,88
(C6×C18).4C22 = C18.Dic6φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).4C2^2432,89
(C6×C18).5C22 = Dic3⋊Dic9φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).5C2^2432,90
(C6×C18).6C22 = D18⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).6C2^2432,91
(C6×C18).7C22 = C6.18D36φ: C22/C1C22 ⊆ Aut C6×C1872(C6xC18).7C2^2432,92
(C6×C18).8C22 = D6⋊Dic9φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).8C2^2432,93
(C6×C18).9C22 = C2×C9⋊Dic6φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).9C2^2432,303
(C6×C18).10C22 = C2×Dic3×D9φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).10C2^2432,304
(C6×C18).11C22 = D18.3D6φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18).11C2^2432,305
(C6×C18).12C22 = C2×C18.D6φ: C22/C1C22 ⊆ Aut C6×C1872(C6xC18).12C2^2432,306
(C6×C18).13C22 = C2×C3⋊D36φ: C22/C1C22 ⊆ Aut C6×C1872(C6xC18).13C2^2432,307
(C6×C18).14C22 = C2×S3×Dic9φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).14C2^2432,308
(C6×C18).15C22 = Dic3.D18φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18).15C2^2432,309
(C6×C18).16C22 = D18.4D6φ: C22/C1C22 ⊆ Aut C6×C18724-(C6xC18).16C2^2432,310
(C6×C18).17C22 = C2×D6⋊D9φ: C22/C1C22 ⊆ Aut C6×C18144(C6xC18).17C2^2432,311
(C6×C18).18C22 = C2×C9⋊D12φ: C22/C1C22 ⊆ Aut C6×C1872(C6xC18).18C2^2432,312
(C6×C18).19C22 = C3×D42D9φ: C22/C1C22 ⊆ Aut C6×C18724(C6xC18).19C2^2432,357
(C6×C18).20C22 = C36.27D6φ: C22/C1C22 ⊆ Aut C6×C18216(C6xC18).20C2^2432,389
(C6×C18).21C22 = Dic3×C36φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).21C2^2432,131
(C6×C18).22C22 = C9×Dic3⋊C4φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).22C2^2432,132
(C6×C18).23C22 = C9×C4⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).23C2^2432,133
(C6×C18).24C22 = C9×D6⋊C4φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).24C2^2432,135
(C6×C18).25C22 = C9×C6.D4φ: C22/C2C2 ⊆ Aut C6×C1872(C6xC18).25C2^2432,165
(C6×C18).26C22 = C18×Dic6φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).26C2^2432,341
(C6×C18).27C22 = S3×C2×C36φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).27C2^2432,345
(C6×C18).28C22 = C18×D12φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).28C2^2432,346
(C6×C18).29C22 = C9×C4○D12φ: C22/C2C2 ⊆ Aut C6×C18722(C6xC18).29C2^2432,347
(C6×C18).30C22 = Dic3×C2×C18φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).30C2^2432,373
(C6×C18).31C22 = C4○D4×C3×C9φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18).31C2^2432,409
(C6×C18).32C22 = C12×Dic9φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).32C2^2432,128
(C6×C18).33C22 = C3×Dic9⋊C4φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).33C2^2432,129
(C6×C18).34C22 = C3×C4⋊Dic9φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).34C2^2432,130
(C6×C18).35C22 = C3×D18⋊C4φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).35C2^2432,134
(C6×C18).36C22 = C3×C18.D4φ: C22/C2C2 ⊆ Aut C6×C1872(C6xC18).36C2^2432,164
(C6×C18).37C22 = C4×C9⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C18432(C6xC18).37C2^2432,180
(C6×C18).38C22 = C6.Dic18φ: C22/C2C2 ⊆ Aut C6×C18432(C6xC18).38C2^2432,181
(C6×C18).39C22 = C36⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C18432(C6xC18).39C2^2432,182
(C6×C18).40C22 = C6.11D36φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18).40C2^2432,183
(C6×C18).41C22 = C62.127D6φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18).41C2^2432,198
(C6×C18).42C22 = C6×Dic18φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).42C2^2432,340
(C6×C18).43C22 = D9×C2×C12φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).43C2^2432,342
(C6×C18).44C22 = C6×D36φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).44C2^2432,343
(C6×C18).45C22 = C3×D365C2φ: C22/C2C2 ⊆ Aut C6×C18722(C6xC18).45C2^2432,344
(C6×C18).46C22 = C2×C6×Dic9φ: C22/C2C2 ⊆ Aut C6×C18144(C6xC18).46C2^2432,372
(C6×C18).47C22 = C2×C12.D9φ: C22/C2C2 ⊆ Aut C6×C18432(C6xC18).47C2^2432,380
(C6×C18).48C22 = C2×C4×C9⋊S3φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18).48C2^2432,381
(C6×C18).49C22 = C2×C36⋊S3φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18).49C2^2432,382
(C6×C18).50C22 = C36.70D6φ: C22/C2C2 ⊆ Aut C6×C18216(C6xC18).50C2^2432,383
(C6×C18).51C22 = C22×C9⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C18432(C6xC18).51C2^2432,396
(C6×C18).52C22 = C22⋊C4×C3×C9central extension (φ=1)216(C6xC18).52C2^2432,203
(C6×C18).53C22 = C4⋊C4×C3×C9central extension (φ=1)432(C6xC18).53C2^2432,206
(C6×C18).54C22 = Q8×C3×C18central extension (φ=1)432(C6xC18).54C2^2432,406

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