Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
270 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19151570 | C2 | semidirect |
| 3. #19151391 | C2 | semidirect |
| 4. #19151390 | C2 | semidirect |
| 5. #353×C89 | C2 | semidirect |
| 7. C2×D4×D89 | C4 | semidirect |
| 9. #15668000 | C4 | semidirect |
| 10. #15667999 | C4 | semidirect |
| 13. #15667969 | C4 | semidirect |
| 15. #15667927 | C22 | semidirect |
| 18. #99×C89 | C22 | semidirect |
| 90. C89 | #2128 | semidirect |
| 95. #353 | D89 | semidirect |
| 108. #99 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152161 | 2 |
| #19151570 | 2 |
| #19151391 | 2 |
| #19151390 | 2 |
| #353×C89 | 2 |
| #2128 | 89 |