# Extensions 1→N→G→Q→1 with N=S3×C18 and Q=C22

Direct product G=N×Q with N=S3×C18 and Q=C22
dρLabelID
S3×C22×C18144S3xC2^2xC18432,557

Semidirect products G=N:Q with N=S3×C18 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C18)⋊1C22 = D9×D12φ: C22/C1C22 ⊆ Out S3×C18724+(S3xC18):1C2^2432,292
(S3×C18)⋊2C22 = C36⋊D6φ: C22/C1C22 ⊆ Out S3×C18724(S3xC18):2C2^2432,293
(S3×C18)⋊3C22 = D9×C3⋊D4φ: C22/C1C22 ⊆ Out S3×C18724(S3xC18):3C2^2432,314
(S3×C18)⋊4C22 = D18⋊D6φ: C22/C1C22 ⊆ Out S3×C18364+(S3xC18):4C2^2432,315
(S3×C18)⋊5C22 = C18×D12φ: C22/C2C2 ⊆ Out S3×C18144(S3xC18):5C2^2432,346
(S3×C18)⋊6C22 = S3×D4×C9φ: C22/C2C2 ⊆ Out S3×C18724(S3xC18):6C2^2432,358
(S3×C18)⋊7C22 = C18×C3⋊D4φ: C22/C2C2 ⊆ Out S3×C1872(S3xC18):7C2^2432,375
(S3×C18)⋊8C22 = C2×D6⋊D9φ: C22/C2C2 ⊆ Out S3×C18144(S3xC18):8C2^2432,311
(S3×C18)⋊9C22 = C2×C9⋊D12φ: C22/C2C2 ⊆ Out S3×C1872(S3xC18):9C2^2432,312
(S3×C18)⋊10C22 = S3×C9⋊D4φ: C22/C2C2 ⊆ Out S3×C18724(S3xC18):10C2^2432,313
(S3×C18)⋊11C22 = C22×S3×D9φ: C22/C2C2 ⊆ Out S3×C1872(S3xC18):11C2^2432,544

Non-split extensions G=N.Q with N=S3×C18 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C18).1C22 = D125D9φ: C22/C1C22 ⊆ Out S3×C181444-(S3xC18).1C2^2432,285
(S3×C18).2C22 = D12⋊D9φ: C22/C1C22 ⊆ Out S3×C18724(S3xC18).2C2^2432,286
(S3×C18).3C22 = Dic3.D18φ: C22/C1C22 ⊆ Out S3×C18724(S3xC18).3C2^2432,309
(S3×C18).4C22 = D18.4D6φ: C22/C1C22 ⊆ Out S3×C18724-(S3xC18).4C2^2432,310
(S3×C18).5C22 = C9×C4○D12φ: C22/C2C2 ⊆ Out S3×C18722(S3xC18).5C2^2432,347
(S3×C18).6C22 = C9×D42S3φ: C22/C2C2 ⊆ Out S3×C18724(S3xC18).6C2^2432,359
(S3×C18).7C22 = C9×Q83S3φ: C22/C2C2 ⊆ Out S3×C181444(S3xC18).7C2^2432,367
(S3×C18).8C22 = S3×Dic18φ: C22/C2C2 ⊆ Out S3×C181444-(S3xC18).8C2^2432,284
(S3×C18).9C22 = D6.D18φ: C22/C2C2 ⊆ Out S3×C18724(S3xC18).9C2^2432,287
(S3×C18).10C22 = D365S3φ: C22/C2C2 ⊆ Out S3×C181444-(S3xC18).10C2^2432,288
(S3×C18).11C22 = Dic9.D6φ: C22/C2C2 ⊆ Out S3×C18724+(S3xC18).11C2^2432,289
(S3×C18).12C22 = C4×S3×D9φ: C22/C2C2 ⊆ Out S3×C18724(S3xC18).12C2^2432,290
(S3×C18).13C22 = S3×D36φ: C22/C2C2 ⊆ Out S3×C18724+(S3xC18).13C2^2432,291
(S3×C18).14C22 = C2×S3×Dic9φ: C22/C2C2 ⊆ Out S3×C18144(S3xC18).14C2^2432,308
(S3×C18).15C22 = S3×C2×C36φ: trivial image144(S3xC18).15C2^2432,345
(S3×C18).16C22 = S3×Q8×C9φ: trivial image1444(S3xC18).16C2^2432,366

׿
×
𝔽