Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
450 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14563773 | C2 | semidirect |
| 2. #14562320 | C2 | semidirect |
| 3. #14562316 | C2 | semidirect |
| 6. #14561918 | C2 | semidirect |
| 207. C19 | #9769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563773 | 2 |
| #14562320 | 2 |
| #14562316 | 2 |
| #14562303 | 2 |
| #14561918 | 2 |
| C2×C19×#486 | 2 |
| #9769 | 19 |