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. #34062761 | C2 | semidirect |
| 2. #34062746 | C2 | semidirect |
| 3. #34062740 | C2 | semidirect |
| 4. #34062735 | C2 | semidirect |
| 5. C2×#23751065 | C2 | semidirect |
| 6. #34062722 | C2 | semidirect |
| 7. 2−1+4×C599 | C2 | semidirect |
| 12. #23751068 | C22 | semidirect |
| 13. #23751066 | C22 | semidirect |
| 14. #23751065 | C22 | semidirect |
| 15. #23751065 | C22 | semidirect |
| 16. #23751063 | C22 | semidirect |
| 17. #23751062 | C22 | semidirect |
| 18. C2×C599⋊C8 | C22 | semidirect |
| 21. #41×C599 | C22 | semidirect |
| 23. C2×Q8×C599 | C22 | semidirect |
| 53. C599 | #577 | semidirect |
| 55. 2−1+4 | D599 | semidirect |
| 66. #41 | C2×D599 | semidirect |
| 68. C2×Q8 | C2×D599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34062761 | 2 |
| #34062746 | 2 |
| #34062740 | 2 |
| #34062735 | 2 |
| C2×#23751065 | 2 |
| #34062722 | 2 |
| 2−1+4×C599 | 2 |
| #577 | 599 |