Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152229 | C2 | semidirect |
| 3. #19151961 | C2 | semidirect |
| 4. #19151959 | C2 | semidirect |
| 5. #19151954 | C2 | semidirect |
| 6. #19151943 | C2 | semidirect |
| 7. #19151604 | C2 | semidirect |
| 8. #19151594 | C2 | semidirect |
| 9. C2×#15667932 | C2 | semidirect |
| 10. #19151556 | C2 | semidirect |
| 11. #417×C89 | C2 | semidirect |
| 15. #15668011 | C22 | semidirect |
| 18. #15668003 | C22 | semidirect |
| 26. #15667936 | C22 | semidirect |
| 27. #15667936 | C22 | semidirect |
| 30. #15667933 | C22 | semidirect |
| 31. #15667933 | C22 | semidirect |
| 34. #15667922 | C22 | semidirect |
| 35. C8×Dic89 | C22 | semidirect |
| 39. #103×C89 | C22 | semidirect |
| 40. #102×C89 | C22 | semidirect |
| 136. C89 | #3136 | semidirect |
| 144. #417 | D89 | semidirect |
| 167. #103 | C2×D89 | semidirect |
| 174. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152229 | 2 |
| #19152162 | 2 |
| #19151961 | 2 |
| #19151959 | 2 |
| #19151954 | 2 |
| #19151943 | 2 |
| #19151604 | 2 |
| #19151594 | 2 |
| C2×#15667932 | 2 |
| #19151556 | 2 |
| #417×C89 | 2 |
| #3136 | 89 |