Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
590 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19132615 | C2 | semidirect |
| 5. C23×Dic86 | C4 | semidirect |
| 8. #14582819 | C4 | semidirect |
| 13. #14582759 | C4 | semidirect |
| 187. C43 | #11785 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137960 | 2 |
| #19132936 | 2 |
| #19132615 | 2 |
| C4×#99×C43 | 2 |
| #11785 | 43 |