Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
540 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 540 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. #14569504 | C2 | semidirect |
| 3. #14562262 | C2 | semidirect |
| 4. #14562182 | C2 | semidirect |
| 5. #14562079 | C2 | semidirect |
| 6. #14561500 | C2 | semidirect |
| 7. C19×#3142 | C2 | semidirect |
| 174. #3142 | D19 | semidirect |
| 284. C19 | #10019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573722 | 2 |
| #14569504 | 2 |
| #14562262 | 2 |
| #14562182 | 2 |
| #14562079 | 2 |
| #14561500 | 2 |
| C19×#3142 | 2 |
| #10019 | 19 |