Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #19134620 | C2 | semidirect |
| 4. #19132502 | C2 | semidirect |
| 5. C43×#1810 | C2 | semidirect |
| 6. C2×#13063331 | C4 | semidirect |
| 13. #14582925 | C4 | semidirect |
| 14. #14582865 | C4 | semidirect |
| 16. #14582854 | C4 | semidirect |
| 179. #1810 | D43 | semidirect |
| 209. C43 | #8629 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143289 | 2 |
| #19134620 | 2 |
| #19133139 | 2 |
| #19132502 | 2 |
| C43×#1810 | 2 |
| #8629 | 43 |