Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152155 | C2 | semidirect |
| 3. #19152003 | C2 | semidirect |
| 4. #19151996 | C2 | semidirect |
| 5. #19151945 | C2 | semidirect |
| 6. #19151945 | C2 | semidirect |
| 7. #19151923 | C2 | semidirect |
| 8. #19151899 | C2 | semidirect |
| 9. #431×C89 | C2 | semidirect |
| 111. C89 | #3228 | semidirect |
| 120. #431 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152148 | 2 |
| #19152003 | 2 |
| #19151996 | 2 |
| #19151945 | 2 |
| #19151923 | 2 |
| #19151899 | 2 |
| #431×C89 | 2 |
| #3228 | 89 |