Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19134672 | C2 | semidirect |
| 4. #19132449 | C2 | semidirect |
| 5. C43×#2921 | C2 | semidirect |
| 9. #14582800 | C4 | semidirect |
| 10. #14582800 | C4 | semidirect |
| 13. #14582768 | C4 | semidirect |
| 14. #14582764 | C4 | semidirect |
| 182. #2921 | D43 | semidirect |
| 213. C43 | #9446 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139053 | 2 |
| #19134672 | 2 |
| #19133125 | 2 |
| #19132449 | 2 |
| C43×#2921 | 2 |
| #9446 | 43 |