# Extensions 1→N→G→Q→1 with N=C3×Dic9 and Q=C22

Direct product G=N×Q with N=C3×Dic9 and Q=C22
dρLabelID
C2×C6×Dic9144C2xC6xDic9432,372

Semidirect products G=N:Q with N=C3×Dic9 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic9)⋊1C22 = S3×C9⋊D4φ: C22/C1C22 ⊆ Out C3×Dic9724(C3xDic9):1C2^2432,313
(C3×Dic9)⋊2C22 = D18⋊D6φ: C22/C1C22 ⊆ Out C3×Dic9364+(C3xDic9):2C2^2432,315
(C3×Dic9)⋊3C22 = C4×S3×D9φ: C22/C2C2 ⊆ Out C3×Dic9724(C3xDic9):3C2^2432,290
(C3×Dic9)⋊4C22 = D9×D12φ: C22/C2C2 ⊆ Out C3×Dic9724+(C3xDic9):4C2^2432,292
(C3×Dic9)⋊5C22 = C2×C18.D6φ: C22/C2C2 ⊆ Out C3×Dic972(C3xDic9):5C2^2432,306
(C3×Dic9)⋊6C22 = C2×S3×Dic9φ: C22/C2C2 ⊆ Out C3×Dic9144(C3xDic9):6C2^2432,308
(C3×Dic9)⋊7C22 = C2×C9⋊D12φ: C22/C2C2 ⊆ Out C3×Dic972(C3xDic9):7C2^2432,312
(C3×Dic9)⋊8C22 = C3×D4×D9φ: C22/C2C2 ⊆ Out C3×Dic9724(C3xDic9):8C2^2432,356
(C3×Dic9)⋊9C22 = C6×C9⋊D4φ: C22/C2C2 ⊆ Out C3×Dic972(C3xDic9):9C2^2432,374
(C3×Dic9)⋊10C22 = D9×C2×C12φ: trivial image144(C3xDic9):10C2^2432,342

Non-split extensions G=N.Q with N=C3×Dic9 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic9).1C22 = Dic18⋊S3φ: C22/C1C22 ⊆ Out C3×Dic9724(C3xDic9).1C2^2432,283
(C3×Dic9).2C22 = S3×Dic18φ: C22/C1C22 ⊆ Out C3×Dic91444-(C3xDic9).2C2^2432,284
(C3×Dic9).3C22 = D12⋊D9φ: C22/C1C22 ⊆ Out C3×Dic9724(C3xDic9).3C2^2432,286
(C3×Dic9).4C22 = Dic9.D6φ: C22/C1C22 ⊆ Out C3×Dic9724+(C3xDic9).4C2^2432,289
(C3×Dic9).5C22 = D18.3D6φ: C22/C1C22 ⊆ Out C3×Dic9724(C3xDic9).5C2^2432,305
(C3×Dic9).6C22 = D18.4D6φ: C22/C1C22 ⊆ Out C3×Dic9724-(C3xDic9).6C2^2432,310
(C3×Dic9).7C22 = D9×Dic6φ: C22/C2C2 ⊆ Out C3×Dic91444-(C3xDic9).7C2^2432,280
(C3×Dic9).8C22 = Dic65D9φ: C22/C2C2 ⊆ Out C3×Dic9724+(C3xDic9).8C2^2432,282
(C3×Dic9).9C22 = D125D9φ: C22/C2C2 ⊆ Out C3×Dic91444-(C3xDic9).9C2^2432,285
(C3×Dic9).10C22 = D6.D18φ: C22/C2C2 ⊆ Out C3×Dic9724(C3xDic9).10C2^2432,287
(C3×Dic9).11C22 = C2×C9⋊Dic6φ: C22/C2C2 ⊆ Out C3×Dic9144(C3xDic9).11C2^2432,303
(C3×Dic9).12C22 = Dic3.D18φ: C22/C2C2 ⊆ Out C3×Dic9724(C3xDic9).12C2^2432,309
(C3×Dic9).13C22 = C6×Dic18φ: C22/C2C2 ⊆ Out C3×Dic9144(C3xDic9).13C2^2432,340
(C3×Dic9).14C22 = C3×D365C2φ: C22/C2C2 ⊆ Out C3×Dic9722(C3xDic9).14C2^2432,344
(C3×Dic9).15C22 = C3×D42D9φ: C22/C2C2 ⊆ Out C3×Dic9724(C3xDic9).15C2^2432,357
(C3×Dic9).16C22 = C3×Q8×D9φ: C22/C2C2 ⊆ Out C3×Dic91444(C3xDic9).16C2^2432,364
(C3×Dic9).17C22 = C3×Q83D9φ: trivial image1444(C3xDic9).17C2^2432,365

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