Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
350 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 350 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 |
|---|---|---|
| 9. #14583303 | C4 | semidirect |
| 10. #14583277 | C4 | semidirect |
| 14. Q16×Dic43 | C4 | semidirect |
| 15. #14582993 | C4 | semidirect |
| 183. C43 | #11743 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145176 | 2 |
| #19136391 | 2 |
| #19134487 | 2 |
| #19132608 | 2 |
| #19132607 | 2 |
| #19132606 | 2 |
| C43×#1348 | 2 |
| #11743 | 43 |