Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
578 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #14564608 | C2 | semidirect |
| 4. #14561517 | C2 | semidirect |
| 10. #11926939 | C4 | semidirect |
| 48. #10597315 | C2×C4 | semidirect |
| 55. #10597260 | C2×C4 | semidirect |
| 217. C19 | #9003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926939 | 2 |
| #14566809 | 2 |
| #14564608 | 2 |
| #14561517 | 2 |
| C2×C19×#329 | 2 |
| #9003 | 19 |