Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. C2×#15667970 | C2 | semidirect |
| 3. #19151941 | C2 | semidirect |
| 4. #19151934 | C2 | semidirect |
| 5. #19151928 | C2 | semidirect |
| 6. #19151920 | C2 | semidirect |
| 7. #19151914 | C2 | semidirect |
| 8. #19151635 | C2 | semidirect |
| 9. #19151591 | C2 | semidirect |
| 10. C22⋊C8×D89 | C2 | semidirect |
| 11. #480×C89 | C2 | semidirect |
| 30. #15667946 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. #15667943 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667935 | C22 | semidirect |
| 35. #15667933 | C22 | semidirect |
| 40. #107×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 144. C89 | #3091 | semidirect |
| 152. #480 | D89 | semidirect |
| 177. #107 | C2×D89 | semidirect |
| 183. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152108 | 2 |
| C2×#15667970 | 2 |
| #19151941 | 2 |
| #19151934 | 2 |
| #19151928 | 2 |
| #19151920 | 2 |
| #19151914 | 2 |
| #19151635 | 2 |
| #19151591 | 2 |
| C22⋊C8×D89 | 2 |
| #480×C89 | 2 |
| #3091 | 89 |