Finite Group DatabasebetaFinite Group DatabasebetaOrder 26973.
174 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 7. #15688506 | C9 | semidirect |
| 10. #15688505 | C9 | semidirect |
| 16. C9×#66524 | C9 | semidirect |
| 19. C37×C9⋊C9 | C9 | semidirect |
| 75. C9⋊C9 | #66524 | semidirect |
| 84. C37 | #10624470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22582538 | 3 |
| C37×#6887 | 3 |
| #10624470 | 37 |