Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
344 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19136264 | C2 | semidirect |
| 3. #19132771 | C2 | semidirect |
| 4. #19132753 | C2 | semidirect |
| 5. C43×#2134 | C2 | semidirect |
| 6. #14583504 | C4 | semidirect |
| 8. #14583275 | C4 | semidirect |
| 9. #14583263 | C4 | semidirect |
| 15. #14582960 | C4 | semidirect |
| 27. #13063322 | C2×C4 | semidirect |
| 28. #13063317 | C2×C4 | semidirect |
| 42. #13063236 | C2×C4 | semidirect |
| 43. C4×C43⋊C8 | C2×C4 | semidirect |
| 153. #2134 | D43 | semidirect |
| 181. C43 | #13605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145645 | 2 |
| #19136264 | 2 |
| #19132771 | 2 |
| #19132753 | 2 |
| C43×#2134 | 2 |
| #13605 | 43 |