Finite Group DatabasebetaFinite Group DatabasebetaOrder 3888.
248 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 44 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. #3688⋊C9 | C3 | semidirect |
| 5. C9×#3688 | C3 | semidirect |
| 59. #3688 | 3−1+2 | semidirect |
| 188. C9 | #3688⋊C3 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14517252 | 2 |
| C3×#3688⋊C3 | 3 |
| 3−1+2×#216 | 3 |
| #3688⋊C9 | 3 |
| C9×#3688 | 3 |
| #11757569 | 4 |