Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 21. C43×#500 | C4 | semidirect |
| 22. C43×#498 | C4 | semidirect |
| 153. #500 | Dic43 | semidirect |
| 154. #498 | Dic43 | semidirect |
| 167. C43 | #9427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137776 | 2 |
| #19133312 | 2 |
| #19133146 | 2 |
| #19132460 | 2 |
| C43×#3165 | 2 |
| #9427 | 43 |