Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
784 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14562348 | C2 | semidirect |
| 3. #14562261 | C2 | semidirect |
| 4. #14561969 | C2 | semidirect |
| 5. C19×#1464 | C2 | semidirect |
| 175. #1464 | D19 | semidirect |
| 276. C19 | #8526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11927149 | 2 |
| #14562348 | 2 |
| #14562261 | 2 |
| #14561969 | 2 |
| C19×#1464 | 2 |
| #8526 | 19 |