Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
191 conjugacy classes of subgroups; only the 34 normal subgroups are shown.
This group has 191 conjugacy classes of subgroups — too many to draw. Only its 34 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11757844 | C2 | semidirect |
| 4. C9×(C22⋊C9)⋊C2 | C3 | semidirect |
| 5. ((C22⋊C9)⋊C2)⋊C9 | C3 | semidirect |
| 14. (C22⋊C9)⋊C9 | C2×C3 | semidirect |
| 15. C9×C22⋊C9 | C2×C3 | semidirect |
| 57. (C22⋊C9)⋊C2 | 3−1+2 | semidirect |
| 87. C22×C9 | AGL(1,ℤ/9) | semidirect |
| 92. C22⋊C9 | C2×3−1+2 | semidirect |
| 145. C9 | ((C22⋊C9)⋊C2)⋊C3 | semidirect |
| 156. C22 | #92264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757844 | 2 |
| C3×((C22⋊C9)⋊C2)⋊C3 | 3 |
| #67×3−1+2 | 3 |
| C9×(C22⋊C9)⋊C2 | 3 |
| ((C22⋊C9)⋊C2)⋊C9 | 3 |
| #92264 | 4 |