Finite Group DatabasebetaFinite Group DatabasebetaOrder 3888.
207 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 207 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 13. C22×C22⋊C27 | C9 | semidirect |
| 53. C22⋊C27 | C22⋊C9 | semidirect |
| 131. C24 | #6875 | semidirect |
| 165. C22 | #11757429 | semidirect |
| 166. C22 | #11757430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9⋊(C22⋊(C22⋊C9)) | 3 |
| #13048167 | 3 |
| C22×#66353 | 3 |
| #11757430 | 4 |
| #11757429 | 4 |