Finite Group DatabasebetaFinite Group DatabasebetaOrder 26973.
482 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 211 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 |
|---|---|---|
| 13. #15688504 | C9 | semidirect |
| 15. C9×#66524 | C9 | semidirect |
| 54. #66524 | C92 | semidirect |
| 55. #66524 | C9⋊C9 | semidirect |
| 80. C37 | C9×C9⋊C9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#15688504 | 3 |
| C3×C9×#66524 | 3 |
| #22582441 | 3 |
| C37×#6855 | 3 |
| C9×C9⋊C9 | 37 |