Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152153 | C2 | semidirect |
| 3. #19151892 | C2 | semidirect |
| 4. #19151875 | C2 | semidirect |
| 5. #19151845 | C2 | semidirect |
| 6. #19151843 | C2 | semidirect |
| 7. #19151804 | C2 | semidirect |
| 8. #19151803 | C2 | semidirect |
| 9. #19151797 | C2 | semidirect |
| 10. #19151620 | C2 | semidirect |
| 11. #474×C89 | C2 | semidirect |
| 143. C89 | #3254 | semidirect |
| 148. #474 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152145 | 2 |
| #19151892 | 2 |
| #19151875 | 2 |
| #19151845 | 2 |
| #19151843 | 2 |
| #19151804 | 2 |
| #19151803 | 2 |
| #19151797 | 2 |
| #19151620 | 2 |
| #474×C89 | 2 |
| #3254 | 89 |