Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
666 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 666 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 |
|---|---|---|
| 2. #19143072 | C2 | semidirect |
| 3. #19136287 | C2 | semidirect |
| 4. #19134563 | C2 | semidirect |
| 5. #19132723 | C2 | semidirect |
| 6. #19132717 | C2 | semidirect |
| 7. C43×#2122 | C2 | semidirect |
| 9. C2×#13063351 | C4 | semidirect |
| 10. C22×#10621882 | C4 | semidirect |
| 18. #14582903 | C4 | semidirect |
| 19. #14582893 | C4 | semidirect |
| 250. #2122 | D43 | semidirect |
| 286. C43 | #13099 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143861 | 2 |
| #19143072 | 2 |
| #19136287 | 2 |
| #19134563 | 2 |
| #19132723 | 2 |
| #19132717 | 2 |
| C43×#2122 | 2 |
| #13099 | 43 |