Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19151716 | C2 | semidirect |
| 3. #19151427 | C2 | semidirect |
| 4. #19151405 | C2 | semidirect |
| 5. #19151404 | C2 | semidirect |
| 6. C4×#13083549 | C2 | semidirect |
| 7. #443×C89 | C2 | semidirect |
| 10. #15667958 | C4 | semidirect |
| 11. #15667956 | C4 | semidirect |
| 12. #15667955 | C4 | semidirect |
| 13. #15667953 | C4 | semidirect |
| 72. C89 | #2178 | semidirect |
| 75. #443 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152028 | 2 |
| #19151716 | 2 |
| #19151427 | 2 |
| #19151405 | 2 |
| #19151404 | 2 |
| C4×#13083549 | 2 |
| #443×C89 | 2 |
| #2178 | 89 |