Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
764 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19143855 | C2 | semidirect |
| 2. #19142623 | C2 | semidirect |
| 3. #19134513 | C2 | semidirect |
| 4. #19133129 | C2 | semidirect |
| 5. #19133124 | C2 | semidirect |
| 6. #19132504 | C2 | semidirect |
| 288. C43 | #9981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143855 | 2 |
| #19142623 | 2 |
| #19134513 | 2 |
| #19133129 | 2 |
| #19133124 | 2 |
| #19132504 | 2 |
| C43×#3006 | 2 |
| #9981 | 43 |