Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
326 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152001 | C2 | semidirect |
| 4. #19151996 | C2 | semidirect |
| 5. #19151948 | C2 | semidirect |
| 7. #19151903 | C2 | semidirect |
| 9. #487×C89 | C2 | semidirect |
| 103. C89 | #3231 | semidirect |
| 109. #487 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152001 | 2 |
| #19151996 | 2 |
| #19151948 | 2 |
| #19151937 | 2 |
| #19151903 | 2 |
| #19151649 | 2 |
| #487×C89 | 2 |
| #3231 | 89 |