Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
282 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 6. #11926343 | C4 | semidirect |
| 9. #11926284 | C4 | semidirect |
| 153. C19 | #7492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14565320 | 2 |
| #14562227 | 2 |
| C19×#1884 | 2 |
| #7492 | 19 |