# Extensions 1→N→G→Q→1 with N=C9×Dic3 and Q=C22

Direct product G=N×Q with N=C9×Dic3 and Q=C22
dρLabelID
Dic3×C2×C18144Dic3xC2xC18432,373

Semidirect products G=N:Q with N=C9×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C9×Dic3)⋊1C22 = D9×C3⋊D4φ: C22/C1C22 ⊆ Out C9×Dic3724(C9xDic3):1C2^2432,314
(C9×Dic3)⋊2C22 = D18⋊D6φ: C22/C1C22 ⊆ Out C9×Dic3364+(C9xDic3):2C2^2432,315
(C9×Dic3)⋊3C22 = S3×D36φ: C22/C2C2 ⊆ Out C9×Dic3724+(C9xDic3):3C2^2432,291
(C9×Dic3)⋊4C22 = C2×C3⋊D36φ: C22/C2C2 ⊆ Out C9×Dic372(C9xDic3):4C2^2432,307
(C9×Dic3)⋊5C22 = C4×S3×D9φ: C22/C2C2 ⊆ Out C9×Dic3724(C9xDic3):5C2^2432,290
(C9×Dic3)⋊6C22 = C2×Dic3×D9φ: C22/C2C2 ⊆ Out C9×Dic3144(C9xDic3):6C2^2432,304
(C9×Dic3)⋊7C22 = C2×C18.D6φ: C22/C2C2 ⊆ Out C9×Dic372(C9xDic3):7C2^2432,306
(C9×Dic3)⋊8C22 = S3×D4×C9φ: C22/C2C2 ⊆ Out C9×Dic3724(C9xDic3):8C2^2432,358
(C9×Dic3)⋊9C22 = C18×C3⋊D4φ: C22/C2C2 ⊆ Out C9×Dic372(C9xDic3):9C2^2432,375
(C9×Dic3)⋊10C22 = S3×C2×C36φ: trivial image144(C9xDic3):10C2^2432,345

Non-split extensions G=N.Q with N=C9×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C9×Dic3).1C22 = D9×Dic6φ: C22/C1C22 ⊆ Out C9×Dic31444-(C9xDic3).1C2^2432,280
(C9×Dic3).2C22 = D18.D6φ: C22/C1C22 ⊆ Out C9×Dic3724(C9xDic3).2C2^2432,281
(C9×Dic3).3C22 = Dic65D9φ: C22/C1C22 ⊆ Out C9×Dic3724+(C9xDic3).3C2^2432,282
(C9×Dic3).4C22 = Dic18⋊S3φ: C22/C1C22 ⊆ Out C9×Dic3724(C9xDic3).4C2^2432,283
(C9×Dic3).5C22 = Dic3.D18φ: C22/C1C22 ⊆ Out C9×Dic3724(C9xDic3).5C2^2432,309
(C9×Dic3).6C22 = D18.4D6φ: C22/C1C22 ⊆ Out C9×Dic3724-(C9xDic3).6C2^2432,310
(C9×Dic3).7C22 = S3×Dic18φ: C22/C2C2 ⊆ Out C9×Dic31444-(C9xDic3).7C2^2432,284
(C9×Dic3).8C22 = D6.D18φ: C22/C2C2 ⊆ Out C9×Dic3724(C9xDic3).8C2^2432,287
(C9×Dic3).9C22 = C2×C9⋊Dic6φ: C22/C2C2 ⊆ Out C9×Dic3144(C9xDic3).9C2^2432,303
(C9×Dic3).10C22 = D18.3D6φ: C22/C2C2 ⊆ Out C9×Dic3724(C9xDic3).10C2^2432,305
(C9×Dic3).11C22 = D365S3φ: C22/C2C2 ⊆ Out C9×Dic31444-(C9xDic3).11C2^2432,288
(C9×Dic3).12C22 = Dic9.D6φ: C22/C2C2 ⊆ Out C9×Dic3724+(C9xDic3).12C2^2432,289
(C9×Dic3).13C22 = C18×Dic6φ: C22/C2C2 ⊆ Out C9×Dic3144(C9xDic3).13C2^2432,341
(C9×Dic3).14C22 = C9×C4○D12φ: C22/C2C2 ⊆ Out C9×Dic3722(C9xDic3).14C2^2432,347
(C9×Dic3).15C22 = S3×Q8×C9φ: C22/C2C2 ⊆ Out C9×Dic31444(C9xDic3).15C2^2432,366
(C9×Dic3).16C22 = C9×D42S3φ: trivial image724(C9xDic3).16C2^2432,359
(C9×Dic3).17C22 = C9×Q83S3φ: trivial image1444(C9xDic3).17C2^2432,367

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