Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#15668040 | C2 | semidirect |
| 2. C2×#15668034 | C2 | semidirect |
| 3. #19152167 | C2 | semidirect |
| 4. #19152078 | C2 | semidirect |
| 5. #19151821 | C2 | semidirect |
| 6. #19151814 | C2 | semidirect |
| 7. #19151799 | C2 | semidirect |
| 8. #19151794 | C2 | semidirect |
| 9. #19151600 | C2 | semidirect |
| 10. C2×#15667934 | C2 | semidirect |
| 11. #424×C89 | C2 | semidirect |
| 17. C2×Dic356 | C22 | semidirect |
| 19. C2×#13083563 | C22 | semidirect |
| 20. C2×#13083563 | C22 | semidirect |
| 22. C2×D712 | C22 | semidirect |
| 28. C4×Dic178 | C22 | semidirect |
| 29. C4×D356 | C22 | semidirect |
| 34. #15667937 | C22 | semidirect |
| 37. #15667934 | C22 | semidirect |
| 41. C4⋊C8×C89 | C22 | semidirect |
| 42. C4⋊C8×C89 | C22 | semidirect |
| 47. #13083574 | D4 | semidirect |
| 155. C89 | #3045 | semidirect |
| 164. #424 | D89 | semidirect |
| 192. C4⋊C8 | C2×D89 | semidirect |
| 193. C4⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668040 | 2 |
| C2×#15668034 | 2 |
| #19152167 | 2 |
| #19152078 | 2 |
| #19151821 | 2 |
| #19151814 | 2 |
| #19151799 | 2 |
| #19151794 | 2 |
| #19151600 | 2 |
| C2×#15667934 | 2 |
| #424×C89 | 2 |
| #3045 | 89 |