Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
458 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 458 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 |
|---|---|---|
| 8. #11926914 | C4 | semidirect |
| 164. C19 | #9004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926914 | 2 |
| #14566821 | 2 |
| #14564608 | 2 |
| #14561517 | 2 |
| C2×C19×#330 | 2 |
| #9004 | 19 |