Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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×#15668037 | C2 | semidirect |
| 2. C22×D712 | C2 | semidirect |
| 3. #19152162 | C2 | semidirect |
| 4. #19152072 | C2 | semidirect |
| 5. #19151816 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151624 | C2 | semidirect |
| 8. #19151602 | C2 | semidirect |
| 9. #416×C89 | C2 | semidirect |
| 13. C2×#13083561 | C22 | semidirect |
| 16. C2×#13083559 | C22 | semidirect |
| 18. #15668008 | C22 | semidirect |
| 19. #15668001 | C22 | semidirect |
| 23. #15667974 | C22 | semidirect |
| 26. #15667941 | C22 | semidirect |
| 27. #15667932 | C22 | semidirect |
| 31. #103×C89 | C22 | semidirect |
| 32. #102×C89 | C22 | semidirect |
| 40. C2×D356 | D4 | semidirect |
| 122. C89 | #3041 | semidirect |
| 131. #416 | D89 | semidirect |
| 152. #103 | C2×D89 | semidirect |
| 154. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| C22×D712 | 2 |
| #19152162 | 2 |
| #19152072 | 2 |
| #19151816 | 2 |
| #19151792 | 2 |
| #19151624 | 2 |
| #19151602 | 2 |
| #416×C89 | 2 |
| #3041 | 89 |