Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
376 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. #14561567 | C2 | semidirect |
| 2. #14561456 | C2 | semidirect |
| 14. C19×H(5,𝔽2) | C8 | semidirect |
| 157. H(5,𝔽2) | C19⋊C8 | semidirect |
| 173. C19 | #7344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14561567 | 2 |
| #14561456 | 2 |
| C19×#1792 | 2 |
| #7344 | 19 |