Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
450 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 450 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. #19152129 | C2 | semidirect |
| 2. C2×#15667974 | C2 | semidirect |
| 3. #19151928 | C2 | semidirect |
| 4. #19151901 | C2 | semidirect |
| 5. #19151812 | C2 | semidirect |
| 6. #19151751 | C2 | semidirect |
| 8. #19151707 | C2 | semidirect |
| 9. #19151697 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #480×C89 | C2 | semidirect |
| 17. #15668003 | C22 | semidirect |
| 18. #15667999 | C22 | semidirect |
| 21. #15667977 | C22 | semidirect |
| 23. D4×Dic89 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667935 | C22 | semidirect |
| 37. #15667922 | C22 | semidirect |
| 40. #107×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 141. C89 | #3114 | semidirect |
| 145. #480 | D89 | semidirect |
| 174. #107 | C2×D89 | semidirect |
| 180. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152129 | 2 |
| C2×#15667974 | 2 |
| #19151928 | 2 |
| #19151901 | 2 |
| #19151812 | 2 |
| #19151751 | 2 |
| #19151731 | 2 |
| #19151707 | 2 |
| #19151697 | 2 |
| #19151652 | 2 |
| #480×C89 | 2 |
| #3114 | 89 |