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. #19151966 | C2 | semidirect |
| 4. #19151964 | C2 | semidirect |
| 5. #19151963 | C2 | semidirect |
| 6. #19151959 | C2 | semidirect |
| 7. #19151593 | C2 | semidirect |
| 8. #97×D89 | C2 | semidirect |
| 9. #491×C89 | C2 | semidirect |
| 91. C89 | #3135 | semidirect |
| 95. #491 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152154 | 2 |
| #19152149 | 2 |
| #19151966 | 2 |
| #19151964 | 2 |
| #19151963 | 2 |
| #19151959 | 2 |
| #19151593 | 2 |
| #97×D89 | 2 |
| #491×C89 | 2 |
| #3135 | 89 |