Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #14563765 | C2 | semidirect |
| 3. #14562381 | C2 | semidirect |
| 6. #14561495 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 11. #11926621 | C4 | semidirect |
| 13. #11926609 | C4 | semidirect |
| 150. #1286 | D19 | semidirect |
| 231. C19 | #8680 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572346 | 2 |
| #14563765 | 2 |
| #14562381 | 2 |
| #14562196 | 2 |
| #14562194 | 2 |
| #14561495 | 2 |
| C19×#1286 | 2 |
| #8680 | 19 |