Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
454 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152411 | C2 | semidirect |
| 2. #19152404 | C2 | semidirect |
| 3. #19152399 | C2 | semidirect |
| 4. #19151870 | C2 | semidirect |
| 5. #19151865 | C2 | semidirect |
| 6. #19151858 | C2 | semidirect |
| 7. #19151775 | C2 | semidirect |
| 8. #19151770 | C2 | semidirect |
| 9. #19151716 | C2 | semidirect |
| 10. #19151716 | C2 | semidirect |
| 11. #495×C89 | C2 | semidirect |
| 12. #15668060 | C22 | semidirect |
| 16. #15668043 | C22 | semidirect |
| 20. #15668038 | C22 | semidirect |
| 31. #15668018 | C22 | semidirect |
| 32. #15668018 | C22 | semidirect |
| 33. #15667948 | C22 | semidirect |
| 34. #15667948 | C22 | semidirect |
| 36. #15667940 | C22 | semidirect |
| 37. #15667940 | C22 | semidirect |
| 38. #15667931 | C22 | semidirect |
| 39. #15667929 | C22 | semidirect |
| 40. C2×Q16×C89 | C22 | semidirect |
| 41. C2×SD16×C89 | C22 | semidirect |
| 43. #124×C89 | C22 | semidirect |
| 44. C4×C8×C89 | C22 | semidirect |
| 150. C89 | #3290 | semidirect |
| 154. #495 | D89 | semidirect |
| 178. C2×Q16 | C2×D89 | semidirect |
| 180. C2×SD16 | C2×D89 | semidirect |
| 186. #124 | 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 |
|---|---|
| #19152411 | 2 |
| #19152404 | 2 |
| #19152399 | 2 |
| #19151870 | 2 |
| #19151865 | 2 |
| #19151858 | 2 |
| #19151775 | 2 |
| #19151770 | 2 |
| #19151716 | 2 |
| #495×C89 | 2 |
| #3290 | 89 |