Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#15668038 | C2 | semidirect |
| 2. C2×#15668018 | C2 | semidirect |
| 3. #19152179 | C2 | semidirect |
| 4. #19152165 | C2 | semidirect |
| 5. #19151850 | C2 | semidirect |
| 6. #19151843 | C2 | semidirect |
| 7. #19151833 | C2 | semidirect |
| 8. #19151826 | C2 | semidirect |
| 9. #19151638 | C2 | semidirect |
| 10. #19151595 | C2 | semidirect |
| 11. C2×#102×C89 | C2 | semidirect |
| 19. C2×#13083557 | C22 | semidirect |
| 20. C2×C8×D89 | C22 | semidirect |
| 24. #15667992 | C22 | semidirect |
| 26. #15667987 | C22 | semidirect |
| 32. #15667945 | C22 | semidirect |
| 33. #15667943 | C22 | semidirect |
| 34. #15667937 | C22 | semidirect |
| 35. #15667937 | C22 | semidirect |
| 36. #15667934 | C22 | semidirect |
| 37. #15667934 | C22 | semidirect |
| 60. #13083558 | D4 | semidirect |
| 152. C89 | #3062 | semidirect |
| 163. C2×#102 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| C2×#15668018 | 2 |
| #19152179 | 2 |
| #19152165 | 2 |
| #19151850 | 2 |
| #19151843 | 2 |
| #19151833 | 2 |
| #19151826 | 2 |
| #19151638 | 2 |
| #19151595 | 2 |
| C2×#102×C89 | 2 |
| #3062 | 89 |