Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
444 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19152150 | C2 | semidirect |
| 3. #19151933 | C2 | semidirect |
| 4. #19151877 | C2 | semidirect |
| 5. #19151802 | C2 | semidirect |
| 8. #19151701 | C2 | semidirect |
| 9. #19151697 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #484×C89 | C2 | semidirect |
| 16. #15668011 | C22 | semidirect |
| 17. #15668010 | C22 | semidirect |
| 21. Q8×Dic89 | C22 | semidirect |
| 23. #15667977 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667935 | C22 | semidirect |
| 37. #15667922 | C22 | semidirect |
| 40. #107×C89 | C22 | semidirect |
| 41. #103×C89 | C22 | semidirect |
| 137. C89 | #3110 | semidirect |
| 141. #484 | D89 | semidirect |
| 171. #107 | C2×D89 | semidirect |
| 174. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| C2×#15667974 | 2 |
| #19151933 | 2 |
| #19151877 | 2 |
| #19151802 | 2 |
| #19151751 | 2 |
| #19151748 | 2 |
| #19151701 | 2 |
| #19151697 | 2 |
| #19151652 | 2 |
| #484×C89 | 2 |
| #3110 | 89 |