Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
466 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152111 | C2 | semidirect |
| 2. C2×#15667983 | C2 | semidirect |
| 3. #19151926 | C2 | semidirect |
| 4. #19151920 | C2 | semidirect |
| 5. #19151912 | C2 | semidirect |
| 6. #19151850 | C2 | semidirect |
| 7. #19151841 | C2 | semidirect |
| 8. #19151742 | C2 | semidirect |
| 9. #19151732 | C2 | semidirect |
| 10. #19151560 | C2 | semidirect |
| 11. #450×C89 | C2 | semidirect |
| 12. C2×#13083575 | C22 | semidirect |
| 15. C2×#13083559 | C22 | semidirect |
| 16. C2×#13083557 | C22 | semidirect |
| 18. #15667988 | C22 | semidirect |
| 19. #15667987 | C22 | semidirect |
| 28. #15667970 | C22 | semidirect |
| 31. #15667946 | C22 | semidirect |
| 32. #15667943 | C22 | semidirect |
| 33. #15667936 | C22 | semidirect |
| 34. #15667934 | C22 | semidirect |
| 35. #15667933 | C22 | semidirect |
| 37. #15667924 | C22 | semidirect |
| 39. C2×SD16×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 159. C89 | #3194 | semidirect |
| 167. #450 | D89 | semidirect |
| 175. C2×SD16 | C2×D89 | semidirect |
| 198. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152111 | 2 |
| C2×#15667983 | 2 |
| #19151926 | 2 |
| #19151920 | 2 |
| #19151912 | 2 |
| #19151850 | 2 |
| #19151841 | 2 |
| #19151742 | 2 |
| #19151732 | 2 |
| #19151560 | 2 |
| #450×C89 | 2 |
| #3194 | 89 |