Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1312 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1312 conjugacy classes of subgroups — too many to draw. Only its 271 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. #19143074 | C2 | semidirect |
| 3. #19136286 | C2 | semidirect |
| 4. #19136278 | C2 | semidirect |
| 5. C43×#2888 | C2 | semidirect |
| 17. #14582883 | C22 | semidirect |
| 19. #14582697 | C22 | semidirect |
| 20. #14582695 | C22 | semidirect |
| 23. C43×#413 | C22 | semidirect |
| 181. #2888 | D43 | semidirect |
| 204. #413 | C2×D43 | semidirect |
| 209. C43 | #33373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148369 | 2 |
| #19143074 | 2 |
| #19136286 | 2 |
| #19136278 | 2 |
| C43×#2888 | 2 |
| #33373 | 43 |