Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
520 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. #19145340 | C2 | semidirect |
| 3. #19136815 | C2 | semidirect |
| 4. #19136767 | C2 | semidirect |
| 5. #19136677 | C2 | semidirect |
| 7. #19136488 | C2 | semidirect |
| 8. C43×#2165 | C2 | semidirect |
| 13. #14583297 | C22 | semidirect |
| 14. #14583279 | C22 | semidirect |
| 23. #14583007 | C22 | semidirect |
| 26. #14582722 | C22 | semidirect |
| 27. #14582716 | C22 | semidirect |
| 30. C43×#364 | C22 | semidirect |
| 32. C43×#347 | C22 | semidirect |
| 165. #2165 | D43 | semidirect |
| 189. #364 | C2×D43 | semidirect |
| 193. #347 | C2×D43 | semidirect |
| 194. C43 | #33689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145340 | 2 |
| #19143506 | 2 |
| #19136815 | 2 |
| #19136767 | 2 |
| #19136677 | 2 |
| #19136548 | 2 |
| #19136488 | 2 |
| C43×#2165 | 2 |
| #33689 | 43 |