Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
590 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14568809 | C2 | semidirect |
| 3. #14562320 | C2 | semidirect |
| 4. #14562130 | C2 | semidirect |
| 5. #14562025 | C2 | semidirect |
| 6. #14561537 | C2 | semidirect |
| 7. C19×#3227 | C2 | semidirect |
| 182. #3227 | D19 | semidirect |
| 290. C19 | #10241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573095 | 2 |
| #14568809 | 2 |
| #14562320 | 2 |
| #14562130 | 2 |
| #14562025 | 2 |
| #14561537 | 2 |
| C19×#3227 | 2 |
| #10241 | 19 |