Finite Group DatabasebetaFinite Group DatabasebetaOrder 38336.
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 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 |
|---|---|---|
| 1. #41×D599 | C2 | semidirect |
| 2. #34062747 | C2 | semidirect |
| 3. #34062744 | C2 | semidirect |
| 4. #34062742 | C2 | semidirect |
| 5. #34062739 | C2 | semidirect |
| 6. #34062737 | C2 | semidirect |
| 7. #34062735 | C2 | semidirect |
| 8. C2×#23751061 | C2 | semidirect |
| 9. #135×C599 | C2 | semidirect |
| 12. #23751078 | C22 | semidirect |
| 15. Q8×D599 | C22 | semidirect |
| 17. D4×D599 | C22 | semidirect |
| 20. Dic2396 | C22 | semidirect |
| 21. #23751068 | C22 | semidirect |
| 22. #23751067 | C22 | semidirect |
| 23. #23751066 | C22 | semidirect |
| 24. #23751065 | C22 | semidirect |
| 25. D4792 | C22 | semidirect |
| 26. #23751063 | C22 | semidirect |
| 27. #23751061 | C22 | semidirect |
| 28. #23751061 | C22 | semidirect |
| 29. C2×C599⋊C8 | C22 | semidirect |
| 30. #41×C599 | C22 | semidirect |
| 31. Q16×C599 | C22 | semidirect |
| 32. SD16×C599 | C22 | semidirect |
| 33. D8×C599 | C22 | semidirect |
| 34. C2×C8×C599 | C22 | semidirect |
| 75. C599 | #575 | semidirect |
| 84. #135 | D599 | semidirect |
| 91. #41 | C2×D599 | semidirect |
| 99. Q16 | C2×D599 | semidirect |
| 103. SD16 | C2×D599 | semidirect |
| 106. D8 | C2×D599 | semidirect |
| 110. C2×C8 | C2×D599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×D599 | 2 |
| #34062747 | 2 |
| #34062744 | 2 |
| #34062742 | 2 |
| #34062739 | 2 |
| #34062737 | 2 |
| #34062735 | 2 |
| C2×#23751061 | 2 |
| #135×C599 | 2 |
| #575 | 599 |