Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #19152154 | C2 | semidirect |
| 3. #19151968 | C2 | semidirect |
| 4. #19151967 | C2 | semidirect |
| 5. #19151962 | C2 | semidirect |
| 6. #19151956 | C2 | semidirect |
| 7. #19151591 | C2 | semidirect |
| 8. #97×D89 | C2 | semidirect |
| 9. #490×C89 | C2 | semidirect |
| 91. C89 | #3135 | semidirect |
| 97. #490 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152154 | 2 |
| #19152146 | 2 |
| #19151968 | 2 |
| #19151967 | 2 |
| #19151962 | 2 |
| #19151956 | 2 |
| #19151591 | 2 |
| #97×D89 | 2 |
| #490×C89 | 2 |
| #3135 | 89 |