Finite Group DatabasebetaFinite Group DatabasebetaOrder 22599.
290 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 11. C9×C31⋊C9 | C9 | semidirect |
| 64. C31 | #10624551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C9×C31⋊C9 | 3 |
| C31⋊#6855 | 3 |
| C31×#6855 | 3 |
| #10624551 | 31 |