Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
476 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 2. #14574038 | C2 | semidirect |
| 3. #14562103 | C2 | semidirect |
| 4. #14562052 | C2 | semidirect |
| 5. #14561991 | C2 | semidirect |
| 6. #14561506 | C2 | semidirect |
| 7. C19×#3234 | C2 | semidirect |
| 164. #3234 | D19 | semidirect |
| 271. C19 | #10122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574630 | 2 |
| #14574038 | 2 |
| #14562103 | 2 |
| #14562052 | 2 |
| #14561991 | 2 |
| #14561506 | 2 |
| C19×#3234 | 2 |
| #10122 | 19 |