Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
454 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 454 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. #19152412 | C2 | semidirect |
| 2. #19152410 | C2 | semidirect |
| 3. #19152400 | C2 | semidirect |
| 4. #19151982 | C2 | semidirect |
| 5. #19151874 | C2 | semidirect |
| 6. #19151869 | C2 | semidirect |
| 7. #19151861 | C2 | semidirect |
| 8. #19151777 | C2 | semidirect |
| 9. #19151772 | C2 | semidirect |
| 10. #19151716 | C2 | semidirect |
| 11. #443×C89 | C2 | semidirect |
| 12. #15668059 | C22 | semidirect |
| 16. #15668042 | C22 | semidirect |
| 19. #15668040 | C22 | semidirect |
| 26. C2×Dic356 | C22 | semidirect |
| 29. C2×#13083563 | C22 | semidirect |
| 33. #15668018 | C22 | semidirect |
| 34. #15668000 | C22 | semidirect |
| 35. #15667948 | C22 | semidirect |
| 37. #15667940 | C22 | semidirect |
| 38. #15667930 | C22 | semidirect |
| 39. #15667928 | C22 | semidirect |
| 41. #131×C89 | C22 | semidirect |
| 42. #108×C89 | C22 | semidirect |
| 43. #104×C89 | C22 | semidirect |
| 44. C4×C8×C89 | C22 | semidirect |
| 150. C89 | #3290 | semidirect |
| 161. #443 | D89 | semidirect |
| 185. #131 | C2×D89 | semidirect |
| 188. #108 | C2×D89 | semidirect |
| 191. #104 | C2×D89 | semidirect |
| 194. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152412 | 2 |
| #19152410 | 2 |
| #19152400 | 2 |
| #19151982 | 2 |
| #19151874 | 2 |
| #19151869 | 2 |
| #19151861 | 2 |
| #19151777 | 2 |
| #19151772 | 2 |
| #19151716 | 2 |
| #443×C89 | 2 |
| #3290 | 89 |