Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
642 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 207 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. #19143511 | C2 | semidirect |
| 3. #19136480 | C2 | semidirect |
| 4. #19136475 | C2 | semidirect |
| 5. C2×#14582705 | C2 | semidirect |
| 6. #19136194 | C2 | semidirect |
| 7. C43×#2161 | C2 | semidirect |
| 10. #14583342 | C4 | semidirect |
| 11. #14583337 | C4 | semidirect |
| 15. #14583015 | C22 | semidirect |
| 18. #14582705 | C22 | semidirect |
| 19. #14582705 | C22 | semidirect |
| 20. #14582674 | C22 | semidirect |
| 21. C16×Dic43 | C22 | semidirect |
| 24. C43×#368 | C22 | semidirect |
| 121. #2161 | D43 | semidirect |
| 140. #368 | C2×D43 | semidirect |
| 145. C43 | #33464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147731 | 2 |
| #19143511 | 2 |
| #19136480 | 2 |
| #19136475 | 2 |
| C2×#14582705 | 2 |
| #19136194 | 2 |
| C43×#2161 | 2 |
| #33464 | 43 |