Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
434 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19134641 | C2 | semidirect |
| 4. #19132725 | C2 | semidirect |
| 5. C43×#1813 | C2 | semidirect |
| 6. C22×C8×D43 | C4 | semidirect |
| 13. #14582927 | C4 | semidirect |
| 16. #14582862 | C4 | semidirect |
| 17. #14582854 | C4 | semidirect |
| 183. #1813 | D43 | semidirect |
| 211. C43 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143287 | 2 |
| #19136237 | 2 |
| #19134641 | 2 |
| #19132725 | 2 |
| C43×#1813 | 2 |
| #12805 | 43 |