Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
548 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #19151616 | C2 | semidirect |
| 3. #19151592 | C2 | semidirect |
| 4. #19151565 | C2 | semidirect |
| 5. #410×C89 | C2 | semidirect |
| 6. #15668060 | C4 | semidirect |
| 10. #15668057 | C4 | semidirect |
| 14. C2×#13083558 | C22 | semidirect |
| 15. C22×#10623494 | C22 | semidirect |
| 21. #117×C89 | C22 | semidirect |
| 109. C89 | #1794 | semidirect |
| 113. #410 | D89 | semidirect |
| 126. #117 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152434 | 2 |
| #19151616 | 2 |
| #19151592 | 2 |
| #19151565 | 2 |
| #410×C89 | 2 |
| #1794 | 89 |