Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
570 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 570 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 |
|---|---|---|
| 3. #19133168 | C2 | semidirect |
| 4. #19132475 | C2 | semidirect |
| 8. #14582838 | C4 | semidirect |
| 9. #14582835 | C4 | semidirect |
| 10. #14582819 | C4 | semidirect |
| 11. #14582811 | C4 | semidirect |
| 218. C43 | #9383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139771 | 2 |
| #19134583 | 2 |
| #19133168 | 2 |
| #19132475 | 2 |
| C43×#2972 | 2 |
| #9383 | 43 |