Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
462 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19143512 | C2 | semidirect |
| 3. C2×#14582707 | C2 | semidirect |
| 4. #19135491 | C2 | semidirect |
| 5. #19132711 | C2 | semidirect |
| 6. #19132683 | C2 | semidirect |
| 7. C43×#2138 | C2 | semidirect |
| 11. #14583339 | C4 | semidirect |
| 13. #14583334 | C4 | semidirect |
| 178. #2138 | D43 | semidirect |
| 209. C43 | #13021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147729 | 2 |
| #19143512 | 2 |
| C2×#14582707 | 2 |
| #19135491 | 2 |
| #19132711 | 2 |
| #19132683 | 2 |
| C43×#2138 | 2 |
| #13021 | 43 |