Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
478 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 478 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 |
|---|---|---|
| 2. #14572293 | C2 | semidirect |
| 5. #14561511 | C2 | semidirect |
| 6. #14561483 | C2 | semidirect |
| 7. C19×#1826 | C2 | semidirect |
| 16. C2×#10597264 | C4 | semidirect |
| 17. C2×#10597265 | C4 | semidirect |
| 19. C2×#10597266 | C4 | semidirect |
| 20. C2×#10597266 | C4 | semidirect |
| 189. #1826 | D19 | semidirect |
| 304. C19 | #9242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926868 | 2 |
| #14572293 | 2 |
| #14562150 | 2 |
| #14561996 | 2 |
| #14561511 | 2 |
| #14561483 | 2 |
| C19×#1826 | 2 |
| #9242 | 19 |