Finite Group DatabasebetaFinite Group DatabasebetaOrder 22599.
202 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 123. C31 | #10624588 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#11719689 | 3 |
| #21419296 | 3 |
| #21419216 | 3 |
| #21419215 | 3 |
| #21419214 | 3 |
| #21419213 | 3 |
| #21419212 | 3 |
| #21419208 | 3 |
| #21419206 | 3 |
| #21419205 | 3 |
| C9×3−1+2×C31 | 3 |
| #10624588 | 31 |