Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
356 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 356 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 |
|---|---|---|
| 17. #14582645 | C4 | semidirect |
| 18. #14582645 | C4 | semidirect |
| 19. #14582645 | C4 | semidirect |
| 20. #14582645 | C4 | semidirect |
| 178. C43 | #8936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135573 | 2 |
| #19133383 | 2 |
| #19133260 | 2 |
| #19132427 | 2 |
| C43×#2986 | 2 |
| #8936 | 43 |