Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
476 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152403 | C2 | semidirect |
| 2. #19152400 | C2 | semidirect |
| 3. #19151975 | C2 | semidirect |
| 4. #19151869 | C2 | semidirect |
| 5. #19151868 | C2 | semidirect |
| 6. #19151767 | C2 | semidirect |
| 7. #19151716 | C2 | semidirect |
| 8. #443×C89 | C2 | semidirect |
| 9. #15668058 | C22 | semidirect |
| 11. #15668040 | C22 | semidirect |
| 13. #15668037 | C22 | semidirect |
| 18. C2×D712 | C22 | semidirect |
| 19. C2×D712 | C22 | semidirect |
| 21. #15668018 | C22 | semidirect |
| 22. #15668009 | C22 | semidirect |
| 23. #15667948 | C22 | semidirect |
| 24. #15667940 | C22 | semidirect |
| 25. #15667928 | C22 | semidirect |
| 27. #131×C89 | C22 | semidirect |
| 28. #108×C89 | C22 | semidirect |
| 29. #104×C89 | C22 | semidirect |
| 30. C4×C8×C89 | C22 | semidirect |
| 39. Dic356 | D4 | semidirect |
| 41. #13083563 | D4 | semidirect |
| 48. D712 | D4 | semidirect |
| 54. Q16×C89 | D4 | semidirect |
| 55. SD16×C89 | D4 | semidirect |
| 56. D8×C89 | D4 | semidirect |
| 104. C89 | #3292 | semidirect |
| 112. #443 | D89 | semidirect |
| 127. #131 | C2×D89 | semidirect |
| 130. #108 | C2×D89 | semidirect |
| 132. #104 | C2×D89 | semidirect |
| 134. C4×C8 | C2×D89 | semidirect |
| 145. Q16 | D356 | semidirect |
| 149. SD16 | D356 | semidirect |
| 157. D8 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152403 | 2 |
| #19152400 | 2 |
| #19151975 | 2 |
| #19151869 | 2 |
| #19151868 | 2 |
| #19151767 | 2 |
| #19151716 | 2 |
| #443×C89 | 2 |
| #3292 | 89 |