Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
632 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14566360 | C2 | semidirect |
| 3. #14562304 | C2 | semidirect |
| 4. #14562195 | C2 | semidirect |
| 5. #14561495 | C2 | semidirect |
| 6. #14561464 | C2 | semidirect |
| 7. C19×#1963 | C2 | semidirect |
| 10. #11926920 | C4 | semidirect |
| 11. #11926892 | C4 | semidirect |
| 33. C19×C4⋊Q8 | C2×C4 | semidirect |
| 34. C19×#127 | C2×C4 | semidirect |
| 68. C4×C19⋊C8 | C2×C4 | semidirect |
| 111. C42×C19 | D8 | semidirect |
| 180. #1963 | D19 | semidirect |
| 245. C4⋊Q8 | C4×D19 | semidirect |
| 250. #127 | C4×D19 | semidirect |
| 280. C19 | #9299 | semidirect |
| 331. C42 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574550 | 2 |
| #14566360 | 2 |
| #14562304 | 2 |
| #14562195 | 2 |
| #14561495 | 2 |
| #14561464 | 2 |
| C19×#1963 | 2 |
| #9299 | 19 |