Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
324 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19152004 | C2 | semidirect |
| 4. #19151968 | C2 | semidirect |
| 5. #19151967 | C2 | semidirect |
| 8. #19151908 | C2 | semidirect |
| 9. #19151904 | C2 | semidirect |
| 11. #501×C89 | C2 | semidirect |
| 121. C89 | #3236 | semidirect |
| 125. #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 |
| #19152004 | 2 |
| #19151968 | 2 |
| #19151967 | 2 |
| #19151935 | 2 |
| #19151930 | 2 |
| #19151908 | 2 |
| #19151904 | 2 |
| #19151653 | 2 |
| #501×C89 | 2 |
| #3236 | 89 |