Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
396 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14563388 | C2 | semidirect |
| 3. #14562396 | C2 | semidirect |
| 4. #14562249 | C2 | semidirect |
| 5. #14562148 | C2 | semidirect |
| 9. #11926940 | C4 | semidirect |
| 10. #11926916 | C4 | semidirect |
| 11. #11926896 | C4 | semidirect |
| 12. #11926890 | C4 | semidirect |
| 250. C19 | #9766 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574190 | 2 |
| #14563388 | 2 |
| #14562396 | 2 |
| #14562249 | 2 |
| #14562148 | 2 |
| #14562143 | 2 |
| C19×#1530 | 2 |
| #9766 | 19 |