Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
448 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 127 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. #19152153 | C2 | semidirect |
| 3. #19151927 | C2 | semidirect |
| 4. #19151889 | C2 | semidirect |
| 5. #19151888 | C2 | semidirect |
| 6. #19151800 | C2 | semidirect |
| 8. SD16×Dic89 | C2 | semidirect |
| 9. #19151683 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 15. #15668012 | C22 | semidirect |
| 19. Q8×Dic89 | C22 | semidirect |
| 30. #15667944 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. C4⋊#10623494 | C22 | semidirect |
| 33. #15667936 | C22 | semidirect |
| 37. C8×Dic89 | C22 | semidirect |
| 39. C4⋊Q8×C89 | C22 | semidirect |
| 41. C4⋊C8×C89 | C22 | semidirect |
| 42. #103×C89 | C22 | semidirect |
| 114. C4×D89 | SD16 | semidirect |
| 147. C89 | #3101 | semidirect |
| 154. #461 | D89 | semidirect |
| 164. C4⋊Q8 | C2×D89 | semidirect |
| 183. C4⋊C8 | C2×D89 | semidirect |
| 185. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| C4×D4×D89 | 2 |
| #19151927 | 2 |
| #19151889 | 2 |
| #19151888 | 2 |
| #19151800 | 2 |
| #19151747 | 2 |
| SD16×Dic89 | 2 |
| #19151683 | 2 |
| #19151650 | 2 |
| #461×C89 | 2 |
| #3101 | 89 |