Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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×#15667992 | C2 | semidirect |
| 3. #19151942 | C2 | semidirect |
| 4. #19151933 | C2 | semidirect |
| 5. #19151857 | C2 | semidirect |
| 6. #19151843 | C2 | semidirect |
| 7. #19151761 | C2 | semidirect |
| 8. #19151756 | C2 | semidirect |
| 9. #19151736 | C2 | semidirect |
| 10. #19151560 | C2 | semidirect |
| 11. #481×C89 | C2 | semidirect |
| 15. C2×Dic356 | C22 | semidirect |
| 16. C2×#13083562 | C22 | semidirect |
| 32. #15667945 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667935 | C22 | semidirect |
| 35. #15667935 | C22 | semidirect |
| 40. #106×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 150. C89 | #3196 | semidirect |
| 155. #481 | D89 | semidirect |
| 185. #106 | C2×D89 | semidirect |
| 189. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152108 | 2 |
| C2×#15667992 | 2 |
| #19151942 | 2 |
| #19151933 | 2 |
| #19151857 | 2 |
| #19151843 | 2 |
| #19151761 | 2 |
| #19151756 | 2 |
| #19151736 | 2 |
| #19151560 | 2 |
| #481×C89 | 2 |
| #3196 | 89 |