Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#13083563 | C2 | semidirect |
| 3. #19152174 | C2 | semidirect |
| 4. #19152072 | C2 | semidirect |
| 5. #19151814 | C2 | semidirect |
| 6. #19151804 | C2 | semidirect |
| 7. #19151608 | C2 | semidirect |
| 8. #19151595 | C2 | semidirect |
| 9. #424×C89 | C2 | semidirect |
| 18. #15668012 | C22 | semidirect |
| 19. #15668000 | C22 | semidirect |
| 26. #15667937 | C22 | semidirect |
| 27. #15667937 | C22 | semidirect |
| 28. #15667934 | C22 | semidirect |
| 32. C4⋊C8×C89 | C22 | semidirect |
| 117. C89 | #3042 | semidirect |
| 124. #424 | D89 | semidirect |
| 146. C4⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668040 | 2 |
| C22×#13083563 | 2 |
| #19152174 | 2 |
| #19152072 | 2 |
| #19151814 | 2 |
| #19151804 | 2 |
| #19151608 | 2 |
| #19151595 | 2 |
| #424×C89 | 2 |
| #3042 | 89 |