Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
480 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 3. #19132481 | C2 | semidirect |
| 4. #19132448 | C2 | semidirect |
| 10. #14582767 | C4 | semidirect |
| 12. #14582759 | C4 | semidirect |
| 15. #14582745 | C4 | semidirect |
| 16. C2×C43⋊#95 | C4 | semidirect |
| 196. C43 | #8777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137535 | 2 |
| #19132933 | 2 |
| #19132481 | 2 |
| #19132448 | 2 |
| C4×#99×C43 | 2 |
| #8777 | 43 |