Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
286 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 286 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 |
|---|---|---|
| 10. #11926341 | C4 | semidirect |
| 14. C19×#355 | C4 | semidirect |
| 127. #355 | Dic19 | semidirect |
| 154. C19 | #7501 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14565320 | 2 |
| #14564464 | 2 |
| C19×#2132 | 2 |
| #7501 | 19 |