Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
452 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #22608525 | C2 | semidirect |
| 4. #22608442 | C2 | semidirect |
| 5. #22607824 | C2 | semidirect |
| 6. #22607803 | C2 | semidirect |
| 10. #17988882 | C4 | semidirect |
| 11. #17988877 | C4 | semidirect |
| 12. #17988797 | C4 | semidirect |
| 13. #17988792 | C4 | semidirect |
| 202. C73 | #9159 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620093 | 2 |
| #22618945 | 2 |
| #22608525 | 2 |
| #22608442 | 2 |
| #22607824 | 2 |
| #22607803 | 2 |
| C73×#1759 | 2 |
| #9159 | 73 |