Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×Dic356 | C2 | semidirect |
| 4. #19152075 | C2 | semidirect |
| 5. #19151821 | C2 | semidirect |
| 6. #19151809 | C2 | semidirect |
| 7. #19151608 | C2 | semidirect |
| 9. #424×C89 | C2 | semidirect |
| 112. C89 | #3044 | semidirect |
| 119. #424 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668045 | 2 |
| C22×Dic356 | 2 |
| #19152174 | 2 |
| #19152075 | 2 |
| #19151821 | 2 |
| #19151809 | 2 |
| #19151608 | 2 |
| #19151595 | 2 |
| #424×C89 | 2 |
| #3044 | 89 |