Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 3. #19151938 | C2 | semidirect |
| 4. #19151937 | C2 | semidirect |
| 5. #19151932 | C2 | semidirect |
| 6. #19151927 | C2 | semidirect |
| 7. #19151641 | C2 | semidirect |
| 8. #19151640 | C2 | semidirect |
| 9. #19151607 | C2 | semidirect |
| 11. #419×C89 | C2 | semidirect |
| 30. #15667946 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667944 | C22 | semidirect |
| 33. #15667943 | C22 | semidirect |
| 34. #15667936 | C22 | semidirect |
| 35. #15667936 | C22 | semidirect |
| 41. #103×C89 | C22 | semidirect |
| 42. #103×C89 | C22 | semidirect |
| 147. C89 | #3095 | semidirect |
| 157. #419 | D89 | semidirect |
| 186. #103 | C2×D89 | semidirect |
| 187. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667988 | 2 |
| #117×D89 | 2 |
| #19151938 | 2 |
| #19151937 | 2 |
| #19151932 | 2 |
| #19151927 | 2 |
| #19151641 | 2 |
| #19151640 | 2 |
| #19151607 | 2 |
| #19151561 | 2 |
| #419×C89 | 2 |
| #3095 | 89 |