Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
254 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 51 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. #19151912 | C2 | semidirect |
| 3. #19151909 | C2 | semidirect |
| 4. #19151530 | C2 | semidirect |
| 5. #19151331 | C2 | semidirect |
| 6. #19151323 | C2 | semidirect |
| 7. #327×C89 | C2 | semidirect |
| 116. C89 | #1610 | semidirect |
| 122. #327 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152175 | 2 |
| #19151912 | 2 |
| #19151909 | 2 |
| #19151530 | 2 |
| #19151331 | 2 |
| #19151323 | 2 |
| #327×C89 | 2 |
| #1610 | 89 |