Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152201 | C2 | semidirect |
| 2. #19151900 | C2 | semidirect |
| 3. #19151897 | C2 | semidirect |
| 4. #19151851 | C2 | semidirect |
| 5. #19151832 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151626 | C2 | semidirect |
| 9. #469×C89 | C2 | semidirect |
| 110. C89 | #3259 | semidirect |
| 115. #469 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152201 | 2 |
| #19151900 | 2 |
| #19151897 | 2 |
| #19151851 | 2 |
| #19151832 | 2 |
| #19151792 | 2 |
| #19151791 | 2 |
| #19151626 | 2 |
| #469×C89 | 2 |
| #3259 | 89 |