Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
450 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 2. #14562321 | C2 | semidirect |
| 3. #14562317 | C2 | semidirect |
| 6. #14561918 | C2 | semidirect |
| 7. C19×#1837 | C2 | semidirect |
| 129. #1837 | D19 | semidirect |
| 207. C19 | #9769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926891 | 2 |
| #14562321 | 2 |
| #14562317 | 2 |
| #14562304 | 2 |
| #14561918 | 2 |
| C19×#1837 | 2 |
| #9769 | 19 |