Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
440 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 440 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 |
|---|---|---|
| 3. #14562308 | C2 | semidirect |
| 4. #14562306 | C2 | semidirect |
| 6. #14561532 | C2 | semidirect |
| 7. C19×#1571 | C2 | semidirect |
| 147. #1571 | D19 | semidirect |
| 231. C19 | #10444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926750 | 2 |
| #14563624 | 2 |
| #14562308 | 2 |
| #14562306 | 2 |
| #14562025 | 2 |
| #14561532 | 2 |
| C19×#1571 | 2 |
| #10444 | 19 |