Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 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. #19152226 | C2 | semidirect |
| 3. #19151963 | C2 | semidirect |
| 4. #19151958 | C2 | semidirect |
| 5. #19151953 | C2 | semidirect |
| 6. #19151945 | C2 | semidirect |
| 7. #19151604 | C2 | semidirect |
| 8. #19151600 | C2 | semidirect |
| 9. #19151595 | C2 | semidirect |
| 10. C2×#15667934 | C2 | semidirect |
| 11. #405×C89 | C2 | semidirect |
| 14. #15668012 | C22 | semidirect |
| 17. #15668004 | C22 | semidirect |
| 26. #15667937 | C22 | semidirect |
| 27. #15667937 | C22 | semidirect |
| 28. #15667937 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667934 | C22 | semidirect |
| 35. #15667934 | C22 | semidirect |
| 39. #97×C89 | C22 | semidirect |
| 40. C4×C8×C89 | C22 | semidirect |
| 136. C89 | #3136 | semidirect |
| 147. #405 | D89 | semidirect |
| 175. #97 | C2×D89 | semidirect |
| 176. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19152167 | 2 |
| #19151963 | 2 |
| #19151958 | 2 |
| #19151953 | 2 |
| #19151945 | 2 |
| #19151604 | 2 |
| #19151600 | 2 |
| #19151595 | 2 |
| C2×#15667934 | 2 |
| #405×C89 | 2 |
| #3136 | 89 |