Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
760 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 760 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 |
|---|---|---|
| 3. #14564620 | C2 | semidirect |
| 4. #14562156 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561521 | C2 | semidirect |
| 8. C2×#10597397 | C4 | semidirect |
| 14. #11926545 | C4 | semidirect |
| 40. C22×Dic38 | C2×C4 | semidirect |
| 53. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 60. C2×#64520 | C2×C4 | semidirect |
| 300. C19 | #9361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572895 | 2 |
| #14566465 | 2 |
| #14564620 | 2 |
| #14562156 | 2 |
| #14561542 | 2 |
| #14561521 | 2 |
| C19×#1789 | 2 |
| #9361 | 19 |