Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #14562185 | C2 | semidirect |
| 5. #14562057 | C2 | semidirect |
| 6. #14561496 | C2 | semidirect |
| 7. C19×#1288 | C2 | semidirect |
| 10. #11926953 | C4 | semidirect |
| 11. #11926953 | C4 | semidirect |
| 12. #11926904 | C4 | semidirect |
| 13. #11926904 | C4 | semidirect |
| 171. #1288 | D19 | semidirect |
| 277. C19 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574877 | 2 |
| #14572620 | 2 |
| #14562210 | 2 |
| #14562185 | 2 |
| #14562057 | 2 |
| #14561496 | 2 |
| C19×#1288 | 2 |
| #9369 | 19 |