Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
756 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×#14582745 | C2 | semidirect |
| 2. #19134663 | C2 | semidirect |
| 4. #19132473 | C2 | semidirect |
| 16. C43×#390 | C4 | semidirect |
| 17. C43×#389 | C4 | semidirect |
| 179. #390 | Dic43 | semidirect |
| 180. #389 | Dic43 | semidirect |
| 189. C43 | #9149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582745 | 2 |
| #19134663 | 2 |
| C2×#14582633 | 2 |
| #19132473 | 2 |
| C43×#2854 | 2 |
| #9149 | 43 |