Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
566 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14562198 | C2 | semidirect |
| 4. #14562135 | C2 | semidirect |
| 6. #14561536 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 12. #11926835 | C4 | semidirect |
| 13. #11926825 | C4 | semidirect |
| 51. #10597315 | C2×C4 | semidirect |
| 52. #10597315 | C2×C4 | semidirect |
| 57. C19×C4⋊C8 | C2×C4 | semidirect |
| 172. #1286 | D19 | semidirect |
| 255. C4⋊C8 | C4×D19 | semidirect |
| 267. C19 | #9175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573434 | 2 |
| #14566543 | 2 |
| #14562198 | 2 |
| #14562135 | 2 |
| #14562025 | 2 |
| #14561536 | 2 |
| C19×#1286 | 2 |
| #9175 | 19 |