Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19134759 | C2 | semidirect |
| 2. #19133159 | C2 | semidirect |
| 4. #19132887 | C2 | semidirect |
| 16. C43×#487 | C4 | semidirect |
| 17. C43×#486 | C4 | semidirect |
| 138. #487 | Dic43 | semidirect |
| 139. #486 | Dic43 | semidirect |
| 150. C43 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134759 | 2 |
| #19133159 | 2 |
| #19133155 | 2 |
| #19132887 | 2 |
| C43×#3131 | 2 |
| #9758 | 43 |