Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
452 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 452 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. #19152394 | C2 | semidirect |
| 2. C2×#15668031 | C2 | semidirect |
| 3. #131×D89 | C2 | semidirect |
| 4. #19151874 | C2 | semidirect |
| 5. #19151873 | C2 | semidirect |
| 6. #19151865 | C2 | semidirect |
| 7. #19151860 | C2 | semidirect |
| 8. #19151859 | C2 | semidirect |
| 9. #108×D89 | C2 | semidirect |
| 10. #19151579 | C2 | semidirect |
| 11. #472×C89 | C2 | semidirect |
| 25. C2×Dic356 | C22 | semidirect |
| 26. C2×#13083562 | C22 | semidirect |
| 37. #15667948 | C22 | semidirect |
| 38. #15667947 | C22 | semidirect |
| 39. #15667930 | C22 | semidirect |
| 40. #15667930 | C22 | semidirect |
| 41. #15667929 | C22 | semidirect |
| 43. C2×D8×C89 | C22 | semidirect |
| 45. #108×C89 | C22 | semidirect |
| 46. #100×C89 | C22 | semidirect |
| 167. C89 | #3067 | semidirect |
| 174. #472 | D89 | semidirect |
| 195. C2×D8 | C2×D89 | semidirect |
| 209. #108 | C2×D89 | semidirect |
| 213. #100 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152394 | 2 |
| C2×#15668031 | 2 |
| #131×D89 | 2 |
| #19151874 | 2 |
| #19151873 | 2 |
| #19151865 | 2 |
| #19151860 | 2 |
| #19151859 | 2 |
| #108×D89 | 2 |
| #19151579 | 2 |
| #472×C89 | 2 |
| #3067 | 89 |