Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1038 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 1038 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 1. #14563559 | C2 | semidirect |
| 2. #14562139 | C2 | semidirect |
| 3. #14561906 | C2 | semidirect |
| 11. C2×C19×2−1+4 | C4 | semidirect |
| 16. C19×#536 | C4 | semidirect |
| 19. C19×#519 | C4 | semidirect |
| 166. C2×2−1+4 | Dic19 | semidirect |
| 171. #536 | Dic19 | semidirect |
| 174. #519 | Dic19 | semidirect |
| 223. C19 | #8455 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563559 | 2 |
| #14562139 | 2 |
| #14561906 | 2 |
| C19×#3486 | 2 |
| #8455 | 19 |