Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
280 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#15667929 | C2 | semidirect |
| 3. #19151387 | C2 | semidirect |
| 4. #19151384 | C2 | semidirect |
| 5. C2×#99×C89 | C2 | semidirect |
| 6. C22×C22⋊D89 | C4 | semidirect |
| 9. #15667993 | C4 | semidirect |
| 14. #15667980 | C4 | semidirect |
| 16. C2×C22⋊Dic89 | C4 | semidirect |
| 23. C23×D89 | C2×C4 | semidirect |
| 31. C22×Dic89 | C2×C4 | semidirect |
| 40. C22⋊Dic89 | C2×C4 | semidirect |
| 41. C22⋊Dic89 | C2×C4 | semidirect |
| 127. C89 | #2121 | semidirect |
| 130. C2×#99 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152157 | 2 |
| C2×#15667929 | 2 |
| #19151387 | 2 |
| #19151384 | 2 |
| C2×#99×C89 | 2 |
| #2121 | 89 |