Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
736 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 163 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. #19145340 | C2 | semidirect |
| 2. #19145336 | C2 | semidirect |
| 4. #19134257 | C2 | semidirect |
| 5. #19134256 | C2 | semidirect |
| 6. #19134254 | C2 | semidirect |
| 7. #19134206 | C2 | semidirect |
| 8. #19132898 | C2 | semidirect |
| 11. #14583297 | C22 | semidirect |
| 12. #14583295 | C22 | semidirect |
| 13. #14583279 | C22 | semidirect |
| 14. #14583278 | C22 | semidirect |
| 16. #14583251 | C22 | semidirect |
| 17. #14583250 | C22 | semidirect |
| 18. #14583249 | C22 | semidirect |
| 29. #14582621 | C22 | semidirect |
| 30. #14582620 | C22 | semidirect |
| 31. C8×C43⋊C8 | C22 | semidirect |
| 198. C43 | #19753 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145340 | 2 |
| #19145336 | 2 |
| #19144969 | 2 |
| #19134257 | 2 |
| #19134256 | 2 |
| #19134254 | 2 |
| #19134206 | 2 |
| #19132898 | 2 |
| C43×#3138 | 2 |
| #19753 | 43 |