Finite Group DatabasebetaFinite Group DatabasebetaOrder 38336.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 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. C2×#23751078 | C2 | semidirect |
| 2. #34062746 | C2 | semidirect |
| 3. #34062745 | C2 | semidirect |
| 4. #34062741 | C2 | semidirect |
| 5. #34062740 | C2 | semidirect |
| 6. #34062735 | C2 | semidirect |
| 7. C2×#23751062 | C2 | semidirect |
| 8. C2×#41×C599 | C2 | semidirect |
| 12. #23751078 | C22 | semidirect |
| 13. C2×Dic1198 | C22 | semidirect |
| 14. C2×D2396 | C22 | semidirect |
| 17. #23751068 | C22 | semidirect |
| 18. #23751066 | C22 | semidirect |
| 19. #23751065 | C22 | semidirect |
| 20. #23751063 | C22 | semidirect |
| 21. #23751062 | C22 | semidirect |
| 22. #23751062 | C22 | semidirect |
| 23. C2×C599⋊C8 | C22 | semidirect |
| 27. #41×C599 | C22 | semidirect |
| 28. C2×Q8×C599 | C22 | semidirect |
| 30. C2×D4×C599 | C22 | semidirect |
| 81. C599 | #575 | semidirect |
| 84. C2×#41 | D599 | semidirect |
| 98. #41 | C2×D599 | semidirect |
| 100. C2×Q8 | C2×D599 | semidirect |
| 104. C2×D4 | C2×D599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#23751078 | 2 |
| #34062746 | 2 |
| #34062745 | 2 |
| #34062741 | 2 |
| #34062740 | 2 |
| #34062735 | 2 |
| C2×#23751062 | 2 |
| C2×#41×C599 | 2 |
| #575 | 599 |