Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
306 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #19151359 | C2 | semidirect |
| 5. #19151358 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #339×C89 | C2 | semidirect |
| 11. #15667970 | C4 | semidirect |
| 12. #15667970 | C4 | semidirect |
| 15. C4⋊C4×D89 | C4 | semidirect |
| 16. C4⋊C4×D89 | C4 | semidirect |
| 139. C89 | #1826 | semidirect |
| 146. #339 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #117×D89 | 2 |
| #19151561 | 2 |
| C4×#13083551 | 2 |
| #19151359 | 2 |
| #19151358 | 2 |
| #19151357 | 2 |
| #339×C89 | 2 |
| #1826 | 89 |