Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
476 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14564611 | C2 | semidirect |
| 5. #14562057 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1299 | C2 | semidirect |
| 11. #11926830 | C4 | semidirect |
| 12. #11926825 | C4 | semidirect |
| 13. #11926755 | C4 | semidirect |
| 14. #11926750 | C4 | semidirect |
| 184. #1299 | D19 | semidirect |
| 287. C19 | #8972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573707 | 2 |
| #14572765 | 2 |
| #14564611 | 2 |
| C4×#10597282 | 2 |
| #14562057 | 2 |
| #14561467 | 2 |
| C19×#1299 | 2 |
| #8972 | 19 |