Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
468 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19134694 | C2 | semidirect |
| 5. #19132483 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 7. C43×#1818 | C2 | semidirect |
| 10. #14583234 | C4 | semidirect |
| 11. #14583229 | C4 | semidirect |
| 13. #14583217 | C4 | semidirect |
| 14. #14583212 | C4 | semidirect |
| 225. #1818 | D43 | semidirect |
| 264. C43 | #9038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144508 | 2 |
| #19143640 | 2 |
| #19134694 | 2 |
| #19133087 | 2 |
| #19132483 | 2 |
| #19132442 | 2 |
| C43×#1818 | 2 |
| #9038 | 43 |