Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
650 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #19136249 | C2 | semidirect |
| 5. #19132725 | C2 | semidirect |
| 6. #19132717 | C2 | semidirect |
| 7. C43×#2135 | C2 | semidirect |
| 9. C2×#13063356 | C4 | semidirect |
| 10. C22×#10621884 | C4 | semidirect |
| 18. #14582903 | C4 | semidirect |
| 19. #14582893 | C4 | semidirect |
| 243. #2135 | D43 | semidirect |
| 279. C43 | #13097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143870 | 2 |
| #19143072 | 2 |
| #19136249 | 2 |
| #19134566 | 2 |
| #19132725 | 2 |
| #19132717 | 2 |
| C43×#2135 | 2 |
| #13097 | 43 |