Finite Group DatabasebetaFinite Group DatabasebetaOrder 38336.
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 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. #34062762 | C2 | semidirect |
| 2. #34062761 | C2 | semidirect |
| 3. #34062748 | C2 | semidirect |
| 4. #34062743 | C2 | semidirect |
| 5. #34062737 | C2 | semidirect |
| 6. C2×#23751067 | C2 | semidirect |
| 7. #131×C599 | C2 | semidirect |
| 10. #23751078 | C22 | semidirect |
| 12. C2×Dic1198 | C22 | semidirect |
| 16. Dic2396 | C22 | semidirect |
| 17. #23751067 | C22 | semidirect |
| 18. #23751067 | C22 | semidirect |
| 19. #23751067 | C22 | semidirect |
| 20. D4792 | C22 | semidirect |
| 22. M16×C599 | C22 | semidirect |
| 23. C2×C8×C599 | C22 | semidirect |
| 53. C599 | #577 | semidirect |
| 61. #131 | D599 | semidirect |
| 76. M16 | C2×D599 | semidirect |
| 77. C2×C8 | C2×D599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34062762 | 2 |
| #34062761 | 2 |
| #34062748 | 2 |
| #34062743 | 2 |
| #34062737 | 2 |
| C2×#23751067 | 2 |
| #131×C599 | 2 |
| #577 | 599 |