Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
452 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14563646 | C2 | semidirect |
| 3. #14562409 | C2 | semidirect |
| 4. #14562195 | C2 | semidirect |
| 5. #14561955 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1540 | C2 | semidirect |
| 164. #1540 | D19 | semidirect |
| 257. C19 | #10464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573095 | 2 |
| #14563646 | 2 |
| #14562409 | 2 |
| #14562195 | 2 |
| #14561955 | 2 |
| #14561494 | 2 |
| C19×#1540 | 2 |
| #10464 | 19 |