Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. #19152008 | C2 | semidirect |
| 4. #19152007 | C2 | semidirect |
| 5. #19152004 | C2 | semidirect |
| 6. #19151999 | C2 | semidirect |
| 7. #19151998 | C2 | semidirect |
| 11. #501×C89 | C2 | semidirect |
| 49. #13083557 | Q8 | semidirect |
| 122. C89 | #3166 | semidirect |
| 128. #501 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #125×D89 | 2 |
| #19152008 | 2 |
| #19152007 | 2 |
| #19152004 | 2 |
| #19151999 | 2 |
| #19151998 | 2 |
| #19151639 | 2 |
| #19151637 | 2 |
| #19151550 | 2 |
| #501×C89 | 2 |
| #3166 | 89 |