Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152145 | C2 | semidirect |
| 2. #127×D89 | C2 | semidirect |
| 3. #19151973 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151794 | C2 | semidirect |
| 6. #19151793 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. #19151733 | C2 | semidirect |
| 9. #19151730 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 16. C2×D712 | C22 | semidirect |
| 17. C2×#13083559 | C22 | semidirect |
| 18. C2×#13083559 | C22 | semidirect |
| 19. #15668011 | C22 | semidirect |
| 24. #15668008 | C22 | semidirect |
| 29. C4×D356 | C22 | semidirect |
| 32. C4⋊#10623494 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667933 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 37. C8×Dic89 | C22 | semidirect |
| 38. C2×D8×C89 | C22 | semidirect |
| 40. C4×D4×C89 | C22 | semidirect |
| 41. C4⋊C8×C89 | C22 | semidirect |
| 42. #102×C89 | C22 | semidirect |
| 127. C4×D89 | D8 | semidirect |
| 166. C89 | #3205 | semidirect |
| 174. #459 | D89 | semidirect |
| 185. C2×D8 | C2×D89 | semidirect |
| 199. C4×D4 | C2×D89 | semidirect |
| 202. C4⋊C8 | C2×D89 | semidirect |
| 206. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152145 | 2 |
| #127×D89 | 2 |
| #19151973 | 2 |
| #19151943 | 2 |
| #19151794 | 2 |
| #19151793 | 2 |
| #19151790 | 2 |
| #19151733 | 2 |
| #19151730 | 2 |
| #19151650 | 2 |
| #459×C89 | 2 |
| #3205 | 89 |