# Extensions 1→N→G→Q→1 with N=C6×D9 and Q=C22

Direct product G=N×Q with N=C6×D9 and Q=C22
dρLabelID
D9×C22×C6144D9xC2^2xC6432,556

Semidirect products G=N:Q with N=C6×D9 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×D9)⋊1C22 = S3×D36φ: C22/C1C22 ⊆ Out C6×D9724+(C6xD9):1C2^2432,291
(C6×D9)⋊2C22 = C36⋊D6φ: C22/C1C22 ⊆ Out C6×D9724(C6xD9):2C2^2432,293
(C6×D9)⋊3C22 = S3×C9⋊D4φ: C22/C1C22 ⊆ Out C6×D9724(C6xD9):3C2^2432,313
(C6×D9)⋊4C22 = D18⋊D6φ: C22/C1C22 ⊆ Out C6×D9364+(C6xD9):4C2^2432,315
(C6×D9)⋊5C22 = C2×C3⋊D36φ: C22/C2C2 ⊆ Out C6×D972(C6xD9):5C2^2432,307
(C6×D9)⋊6C22 = C2×D6⋊D9φ: C22/C2C2 ⊆ Out C6×D9144(C6xD9):6C2^2432,311
(C6×D9)⋊7C22 = D9×C3⋊D4φ: C22/C2C2 ⊆ Out C6×D9724(C6xD9):7C2^2432,314
(C6×D9)⋊8C22 = C6×D36φ: C22/C2C2 ⊆ Out C6×D9144(C6xD9):8C2^2432,343
(C6×D9)⋊9C22 = C3×D4×D9φ: C22/C2C2 ⊆ Out C6×D9724(C6xD9):9C2^2432,356
(C6×D9)⋊10C22 = C6×C9⋊D4φ: C22/C2C2 ⊆ Out C6×D972(C6xD9):10C2^2432,374
(C6×D9)⋊11C22 = C22×S3×D9φ: C22/C2C2 ⊆ Out C6×D972(C6xD9):11C2^2432,544

Non-split extensions G=N.Q with N=C6×D9 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×D9).1C22 = D18.D6φ: C22/C1C22 ⊆ Out C6×D9724(C6xD9).1C2^2432,281
(C6×D9).2C22 = D365S3φ: C22/C1C22 ⊆ Out C6×D91444-(C6xD9).2C2^2432,288
(C6×D9).3C22 = D18.3D6φ: C22/C1C22 ⊆ Out C6×D9724(C6xD9).3C2^2432,305
(C6×D9).4C22 = D18.4D6φ: C22/C1C22 ⊆ Out C6×D9724-(C6xD9).4C2^2432,310
(C6×D9).5C22 = D9×Dic6φ: C22/C2C2 ⊆ Out C6×D91444-(C6xD9).5C2^2432,280
(C6×D9).6C22 = Dic65D9φ: C22/C2C2 ⊆ Out C6×D9724+(C6xD9).6C2^2432,282
(C6×D9).7C22 = D125D9φ: C22/C2C2 ⊆ Out C6×D91444-(C6xD9).7C2^2432,285
(C6×D9).8C22 = D6.D18φ: C22/C2C2 ⊆ Out C6×D9724(C6xD9).8C2^2432,287
(C6×D9).9C22 = C4×S3×D9φ: C22/C2C2 ⊆ Out C6×D9724(C6xD9).9C2^2432,290
(C6×D9).10C22 = D9×D12φ: C22/C2C2 ⊆ Out C6×D9724+(C6xD9).10C2^2432,292
(C6×D9).11C22 = C2×Dic3×D9φ: C22/C2C2 ⊆ Out C6×D9144(C6xD9).11C2^2432,304
(C6×D9).12C22 = C3×D365C2φ: C22/C2C2 ⊆ Out C6×D9722(C6xD9).12C2^2432,344
(C6×D9).13C22 = C3×D42D9φ: C22/C2C2 ⊆ Out C6×D9724(C6xD9).13C2^2432,357
(C6×D9).14C22 = C3×Q83D9φ: C22/C2C2 ⊆ Out C6×D91444(C6xD9).14C2^2432,365
(C6×D9).15C22 = D9×C2×C12φ: trivial image144(C6xD9).15C2^2432,342
(C6×D9).16C22 = C3×Q8×D9φ: trivial image1444(C6xD9).16C2^2432,364

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