Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
384 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. #19152330 | C2 | semidirect |
| 2. #19151983 | C2 | semidirect |
| 4. #19151815 | C2 | semidirect |
| 5. #19151810 | C2 | semidirect |
| 6. #19151796 | C2 | semidirect |
| 7. C8×Dic178 | C2 | semidirect |
| 8. Q16×Dic89 | C2 | semidirect |
| 9. C4×D712 | C2 | semidirect |
| 10. D8×Dic89 | C2 | semidirect |
| 11. #495×C89 | C2 | semidirect |
| 121. C89 | #3396 | semidirect |
| 124. #495 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152330 | 2 |
| #19151983 | 2 |
| #19151973 | 2 |
| #19151815 | 2 |
| #19151810 | 2 |
| #19151796 | 2 |
| C8×Dic178 | 2 |
| Q16×Dic89 | 2 |
| C4×D712 | 2 |
| D8×Dic89 | 2 |
| #495×C89 | 2 |
| #3396 | 89 |