Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
486 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #19133209 | C2 | semidirect |
| 5. #19133095 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 7. C43×#1302 | C2 | semidirect |
| 11. #14583180 | C4 | semidirect |
| 12. #14583180 | C4 | semidirect |
| 13. #14583105 | C4 | semidirect |
| 14. #14583105 | C4 | semidirect |
| 209. #1302 | D43 | semidirect |
| 243. C43 | #9165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144695 | 2 |
| #19143629 | 2 |
| #19134421 | 2 |
| #19133209 | 2 |
| #19133095 | 2 |
| #19132452 | 2 |
| C43×#1302 | 2 |
| #9165 | 43 |