Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
762 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 145 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×#15668057 | C2 | semidirect |
| 2. #19152396 | C2 | semidirect |
| 3. #19151775 | C2 | semidirect |
| 4. #19151765 | C2 | semidirect |
| 5. #19151616 | C2 | semidirect |
| 6. C2×#15667929 | C2 | semidirect |
| 7. #535×C89 | C2 | semidirect |
| 15. #15668043 | C22 | semidirect |
| 17. #15668038 | C22 | semidirect |
| 20. C2×#13083558 | C22 | semidirect |
| 21. #15667940 | C22 | semidirect |
| 22. #15667929 | C22 | semidirect |
| 23. C2×#41×C89 | C22 | semidirect |
| 25. #127×C89 | C22 | semidirect |
| 26. #124×C89 | C22 | semidirect |
| 29. #117×C89 | C22 | semidirect |
| 33. #13083574 | D4 | semidirect |
| 37. C2×Dic178 | D4 | semidirect |
| 38. C2×D356 | D4 | semidirect |
| 52. #13083558 | C23 | semidirect |
| 57. C2×Q8×C89 | C23 | semidirect |
| 64. C2×D4×C89 | C23 | semidirect |
| 70. C42×C89 | C23 | semidirect |
| 132. C89 | #3019 | semidirect |
| 135. #535 | D89 | semidirect |
| 145. C2×#41 | C2×D89 | semidirect |
| 155. #127 | C2×D89 | semidirect |
| 156. #124 | C2×D89 | semidirect |
| 159. #117 | C2×D89 | semidirect |
| 173. C2×Q8 | C22×D89 | semidirect |
| 187. C2×D4 | C22×D89 | semidirect |
| 202. C42 | C22×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668057 | 2 |
| #19152396 | 2 |
| #19151775 | 2 |
| #19151765 | 2 |
| #19151616 | 2 |
| C2×#15667929 | 2 |
| #535×C89 | 2 |
| #3019 | 89 |