Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 2. C2×#15667970 | C2 | semidirect |
| 3. #19151938 | C2 | semidirect |
| 4. #19151937 | C2 | semidirect |
| 5. #19151921 | C2 | semidirect |
| 6. #19151920 | C2 | semidirect |
| 7. #19151640 | C2 | semidirect |
| 8. #19151638 | C2 | semidirect |
| 9. #19151599 | C2 | semidirect |
| 10. #19151561 | C2 | semidirect |
| 11. #417×C89 | C2 | semidirect |
| 30. #15667946 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667944 | C22 | semidirect |
| 33. #15667943 | C22 | semidirect |
| 34. #15667936 | C22 | semidirect |
| 35. #15667933 | C22 | semidirect |
| 41. #103×C89 | C22 | semidirect |
| 42. #102×C89 | C22 | semidirect |
| 153. C89 | #3093 | semidirect |
| 163. #417 | D89 | semidirect |
| 191. #103 | C2×D89 | semidirect |
| 193. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152105 | 2 |
| C2×#15667970 | 2 |
| #19151938 | 2 |
| #19151937 | 2 |
| #19151921 | 2 |
| #19151920 | 2 |
| #19151640 | 2 |
| #19151638 | 2 |
| #19151599 | 2 |
| #19151561 | 2 |
| #417×C89 | 2 |
| #3093 | 89 |