Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
450 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14572280 | C2 | semidirect |
| 3. #14562086 | C2 | semidirect |
| 4. #14562075 | C2 | semidirect |
| 5. #14561525 | C2 | semidirect |
| 6. #14561473 | C2 | semidirect |
| 7. C19×#1525 | C2 | semidirect |
| 175. #1525 | D19 | semidirect |
| 277. C19 | #9213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573689 | 2 |
| #14572280 | 2 |
| #14562086 | 2 |
| #14562075 | 2 |
| #14561525 | 2 |
| #14561473 | 2 |
| C19×#1525 | 2 |
| #9213 | 19 |