Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
364 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152004 | C2 | semidirect |
| 3. #19151990 | C2 | semidirect |
| 4. #19151966 | C2 | semidirect |
| 5. #19151960 | C2 | semidirect |
| 6. #19151854 | C2 | semidirect |
| 8. C4×#13083564 | C2 | semidirect |
| 9. C4×#13083561 | C2 | semidirect |
| 10. C4×#13083558 | C2 | semidirect |
| 11. #533×C89 | C2 | semidirect |
| 130. C89 | #3172 | semidirect |
| 131. #533 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19152004 | 2 |
| #19151990 | 2 |
| #19151966 | 2 |
| #19151960 | 2 |
| #19151854 | 2 |
| #19151846 | 2 |
| C4×#13083564 | 2 |
| C4×#13083561 | 2 |
| C4×#13083558 | 2 |
| #533×C89 | 2 |
| #3172 | 89 |