Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
364 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19152153 | C2 | semidirect |
| 3. #19152007 | C2 | semidirect |
| 4. #19151966 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151853 | C2 | semidirect |
| 8. Q16×Dic89 | C2 | semidirect |
| 9. SD16×Dic89 | C2 | semidirect |
| 10. #19151550 | C2 | semidirect |
| 11. #497×C89 | C2 | semidirect |
| 130. C89 | #3172 | semidirect |
| 134. #497 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152127 | 2 |
| #19152007 | 2 |
| #19151966 | 2 |
| #19151957 | 2 |
| #19151853 | 2 |
| #19151841 | 2 |
| Q16×Dic89 | 2 |
| SD16×Dic89 | 2 |
| #19151550 | 2 |
| #497×C89 | 2 |
| #3172 | 89 |