Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
788 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 788 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 10. #11926567 | C4 | semidirect |
| 12. M16×Dic19 | C4 | semidirect |
| 14. #11926395 | C4 | semidirect |
| 17. #11926389 | C4 | semidirect |
| 181. C19 | #8048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572264 | 2 |
| C4×#10597323 | 2 |
| #14561521 | 2 |
| #14561520 | 2 |
| C19×#1297 | 2 |
| #8048 | 19 |