# Extensions 1→N→G→Q→1 with N=Q8×C9 and Q=C6

Direct product G=N×Q with N=Q8×C9 and Q=C6
dρLabelID
Q8×C3×C18432Q8xC3xC18432,406

Semidirect products G=N:Q with N=Q8×C9 and Q=C6
extensionφ:Q→Out NdρLabelID
(Q8×C9)⋊1C6 = D36.C6φ: C6/C1C6 ⊆ Out Q8×C97212+(Q8xC9):1C6432,163
(Q8×C9)⋊2C6 = Q8×C9⋊C6φ: C6/C1C6 ⊆ Out Q8×C97212-(Q8xC9):2C6432,370
(Q8×C9)⋊3C6 = D363C6φ: C6/C1C6 ⊆ Out Q8×C97212+(Q8xC9):3C6432,371
(Q8×C9)⋊4C6 = D18.A4φ: C6/C1C6 ⊆ Out Q8×C97212-(Q8xC9):4C6432,263
(Q8×C9)⋊5C6 = D9×SL2(𝔽3)φ: C6/C1C6 ⊆ Out Q8×C9724-(Q8xC9):5C6432,264
(Q8×C9)⋊6C6 = SD16×3- 1+2φ: C6/C1C6 ⊆ Out Q8×C9726(Q8xC9):6C6432,220
(Q8×C9)⋊7C6 = C18×SL2(𝔽3)φ: C6/C2C3 ⊆ Out Q8×C9144(Q8xC9):7C6432,327
(Q8×C9)⋊8C6 = C2×C18.A4φ: C6/C2C3 ⊆ Out Q8×C9144(Q8xC9):8C6432,328
(Q8×C9)⋊9C6 = C2×Q8×3- 1+2φ: C6/C2C3 ⊆ Out Q8×C9144(Q8xC9):9C6432,408
(Q8×C9)⋊10C6 = C4○D4×3- 1+2φ: C6/C2C3 ⊆ Out Q8×C9726(Q8xC9):10C6432,411
(Q8×C9)⋊11C6 = C3×Q82D9φ: C6/C3C2 ⊆ Out Q8×C91444(Q8xC9):11C6432,157
(Q8×C9)⋊12C6 = C3×Q8×D9φ: C6/C3C2 ⊆ Out Q8×C91444(Q8xC9):12C6432,364
(Q8×C9)⋊13C6 = C3×Q83D9φ: C6/C3C2 ⊆ Out Q8×C91444(Q8xC9):13C6432,365
(Q8×C9)⋊14C6 = SD16×C3×C9φ: C6/C3C2 ⊆ Out Q8×C9216(Q8xC9):14C6432,218
(Q8×C9)⋊15C6 = C4○D4×C3×C9φ: trivial image216(Q8xC9):15C6432,409

Non-split extensions G=N.Q with N=Q8×C9 and Q=C6
extensionφ:Q→Out NdρLabelID
(Q8×C9).1C6 = Dic18.C6φ: C6/C1C6 ⊆ Out Q8×C914412-(Q8xC9).1C6432,162
(Q8×C9).2C6 = Dic9.A4φ: C6/C1C6 ⊆ Out Q8×C914412+(Q8xC9).2C6432,261
(Q8×C9).3C6 = Dic9.2A4φ: C6/C1C6 ⊆ Out Q8×C91444+(Q8xC9).3C6432,262
(Q8×C9).4C6 = Q16×3- 1+2φ: C6/C1C6 ⊆ Out Q8×C91446(Q8xC9).4C6432,223
(Q8×C9).5C6 = C2×Q8⋊C27φ: C6/C2C3 ⊆ Out Q8×C9432(Q8xC9).5C6432,41
(Q8×C9).6C6 = Q8.C54φ: C6/C2C3 ⊆ Out Q8×C92162(Q8xC9).6C6432,42
(Q8×C9).7C6 = C9×C4.A4φ: C6/C2C3 ⊆ Out Q8×C91442(Q8xC9).7C6432,329
(Q8×C9).8C6 = C36.A4φ: C6/C2C3 ⊆ Out Q8×C91446(Q8xC9).8C6432,330
(Q8×C9).9C6 = C3×C9⋊Q16φ: C6/C3C2 ⊆ Out Q8×C91444(Q8xC9).9C6432,156
(Q8×C9).10C6 = SD16×C27φ: C6/C3C2 ⊆ Out Q8×C92162(Q8xC9).10C6432,26
(Q8×C9).11C6 = Q16×C27φ: C6/C3C2 ⊆ Out Q8×C94322(Q8xC9).11C6432,27
(Q8×C9).12C6 = Q16×C3×C9φ: C6/C3C2 ⊆ Out Q8×C9432(Q8xC9).12C6432,221
(Q8×C9).13C6 = Q8×C54φ: trivial image432(Q8xC9).13C6432,55
(Q8×C9).14C6 = C4○D4×C27φ: trivial image2162(Q8xC9).14C6432,56

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