# Extensions 1→N→G→Q→1 with N=C3×C18 and Q=C23

Direct product G=N×Q with N=C3×C18 and Q=C23
dρLabelID
C22×C6×C18432C2^2xC6xC18432,562

Semidirect products G=N:Q with N=C3×C18 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊C23 = C22×S3×D9φ: C23/C2C22 ⊆ Aut C3×C1872(C3xC18):C2^3432,544
(C3×C18)⋊2C23 = S3×C22×C18φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18):2C2^3432,557
(C3×C18)⋊3C23 = D9×C22×C6φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18):3C2^3432,556
(C3×C18)⋊4C23 = C23×C9⋊S3φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18):4C2^3432,560

Non-split extensions G=N.Q with N=C3×C18 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C3×C18).1C23 = D9×Dic6φ: C23/C2C22 ⊆ Aut C3×C181444-(C3xC18).1C2^3432,280
(C3×C18).2C23 = D18.D6φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).2C2^3432,281
(C3×C18).3C23 = Dic65D9φ: C23/C2C22 ⊆ Aut C3×C18724+(C3xC18).3C2^3432,282
(C3×C18).4C23 = Dic18⋊S3φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).4C2^3432,283
(C3×C18).5C23 = S3×Dic18φ: C23/C2C22 ⊆ Aut C3×C181444-(C3xC18).5C2^3432,284
(C3×C18).6C23 = D125D9φ: C23/C2C22 ⊆ Aut C3×C181444-(C3xC18).6C2^3432,285
(C3×C18).7C23 = D12⋊D9φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).7C2^3432,286
(C3×C18).8C23 = D6.D18φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).8C2^3432,287
(C3×C18).9C23 = D365S3φ: C23/C2C22 ⊆ Aut C3×C181444-(C3xC18).9C2^3432,288
(C3×C18).10C23 = Dic9.D6φ: C23/C2C22 ⊆ Aut C3×C18724+(C3xC18).10C2^3432,289
(C3×C18).11C23 = C4×S3×D9φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).11C2^3432,290
(C3×C18).12C23 = S3×D36φ: C23/C2C22 ⊆ Aut C3×C18724+(C3xC18).12C2^3432,291
(C3×C18).13C23 = D9×D12φ: C23/C2C22 ⊆ Aut C3×C18724+(C3xC18).13C2^3432,292
(C3×C18).14C23 = C36⋊D6φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).14C2^3432,293
(C3×C18).15C23 = C2×C9⋊Dic6φ: C23/C2C22 ⊆ Aut C3×C18144(C3xC18).15C2^3432,303
(C3×C18).16C23 = C2×Dic3×D9φ: C23/C2C22 ⊆ Aut C3×C18144(C3xC18).16C2^3432,304
(C3×C18).17C23 = D18.3D6φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).17C2^3432,305
(C3×C18).18C23 = C2×C18.D6φ: C23/C2C22 ⊆ Aut C3×C1872(C3xC18).18C2^3432,306
(C3×C18).19C23 = C2×C3⋊D36φ: C23/C2C22 ⊆ Aut C3×C1872(C3xC18).19C2^3432,307
(C3×C18).20C23 = C2×S3×Dic9φ: C23/C2C22 ⊆ Aut C3×C18144(C3xC18).20C2^3432,308
(C3×C18).21C23 = Dic3.D18φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).21C2^3432,309
(C3×C18).22C23 = D18.4D6φ: C23/C2C22 ⊆ Aut C3×C18724-(C3xC18).22C2^3432,310
(C3×C18).23C23 = C2×D6⋊D9φ: C23/C2C22 ⊆ Aut C3×C18144(C3xC18).23C2^3432,311
(C3×C18).24C23 = C2×C9⋊D12φ: C23/C2C22 ⊆ Aut C3×C1872(C3xC18).24C2^3432,312
(C3×C18).25C23 = S3×C9⋊D4φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).25C2^3432,313
(C3×C18).26C23 = D9×C3⋊D4φ: C23/C2C22 ⊆ Aut C3×C18724(C3xC18).26C2^3432,314
(C3×C18).27C23 = D18⋊D6φ: C23/C2C22 ⊆ Aut C3×C18364+(C3xC18).27C2^3432,315
(C3×C18).28C23 = C18×Dic6φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).28C2^3432,341
(C3×C18).29C23 = S3×C2×C36φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).29C2^3432,345
(C3×C18).30C23 = C18×D12φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).30C2^3432,346
(C3×C18).31C23 = C9×C4○D12φ: C23/C22C2 ⊆ Aut C3×C18722(C3xC18).31C2^3432,347
(C3×C18).32C23 = S3×D4×C9φ: C23/C22C2 ⊆ Aut C3×C18724(C3xC18).32C2^3432,358
(C3×C18).33C23 = C9×D42S3φ: C23/C22C2 ⊆ Aut C3×C18724(C3xC18).33C2^3432,359
(C3×C18).34C23 = S3×Q8×C9φ: C23/C22C2 ⊆ Aut C3×C181444(C3xC18).34C2^3432,366
(C3×C18).35C23 = C9×Q83S3φ: C23/C22C2 ⊆ Aut C3×C181444(C3xC18).35C2^3432,367
(C3×C18).36C23 = Dic3×C2×C18φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).36C2^3432,373
(C3×C18).37C23 = C18×C3⋊D4φ: C23/C22C2 ⊆ Aut C3×C1872(C3xC18).37C2^3432,375
(C3×C18).38C23 = C6×Dic18φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).38C2^3432,340
(C3×C18).39C23 = D9×C2×C12φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).39C2^3432,342
(C3×C18).40C23 = C6×D36φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).40C2^3432,343
(C3×C18).41C23 = C3×D365C2φ: C23/C22C2 ⊆ Aut C3×C18722(C3xC18).41C2^3432,344
(C3×C18).42C23 = C3×D4×D9φ: C23/C22C2 ⊆ Aut C3×C18724(C3xC18).42C2^3432,356
(C3×C18).43C23 = C3×D42D9φ: C23/C22C2 ⊆ Aut C3×C18724(C3xC18).43C2^3432,357
(C3×C18).44C23 = C3×Q8×D9φ: C23/C22C2 ⊆ Aut C3×C181444(C3xC18).44C2^3432,364
(C3×C18).45C23 = C3×Q83D9φ: C23/C22C2 ⊆ Aut C3×C181444(C3xC18).45C2^3432,365
(C3×C18).46C23 = C2×C6×Dic9φ: C23/C22C2 ⊆ Aut C3×C18144(C3xC18).46C2^3432,372
(C3×C18).47C23 = C6×C9⋊D4φ: C23/C22C2 ⊆ Aut C3×C1872(C3xC18).47C2^3432,374
(C3×C18).48C23 = C2×C12.D9φ: C23/C22C2 ⊆ Aut C3×C18432(C3xC18).48C2^3432,380
(C3×C18).49C23 = C2×C4×C9⋊S3φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18).49C2^3432,381
(C3×C18).50C23 = C2×C36⋊S3φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18).50C2^3432,382
(C3×C18).51C23 = C36.70D6φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18).51C2^3432,383
(C3×C18).52C23 = D4×C9⋊S3φ: C23/C22C2 ⊆ Aut C3×C18108(C3xC18).52C2^3432,388
(C3×C18).53C23 = C36.27D6φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18).53C2^3432,389
(C3×C18).54C23 = Q8×C9⋊S3φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18).54C2^3432,392
(C3×C18).55C23 = C36.29D6φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18).55C2^3432,393
(C3×C18).56C23 = C22×C9⋊Dic3φ: C23/C22C2 ⊆ Aut C3×C18432(C3xC18).56C2^3432,396
(C3×C18).57C23 = C2×C6.D18φ: C23/C22C2 ⊆ Aut C3×C18216(C3xC18).57C2^3432,397
(C3×C18).58C23 = D4×C3×C18central extension (φ=1)216(C3xC18).58C2^3432,403
(C3×C18).59C23 = Q8×C3×C18central extension (φ=1)432(C3xC18).59C2^3432,406
(C3×C18).60C23 = C4○D4×C3×C9central extension (φ=1)216(C3xC18).60C2^3432,409

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