Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
760 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14564620 | C2 | semidirect |
| 5. #14562154 | C2 | semidirect |
| 6. #14561540 | C2 | semidirect |
| 7. C19×#1297 | C2 | semidirect |
| 9. C2×#10597355 | C4 | semidirect |
| 16. #11926546 | C4 | semidirect |
| 39. C22×Dic38 | C2×C4 | semidirect |
| 41. C2×M16×C19 | C2×C4 | semidirect |
| 50. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 196. #1297 | D19 | semidirect |
| 271. C2×M16 | C4×D19 | semidirect |
| 300. C19 | #9361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572897 | 2 |
| #14566466 | 2 |
| #14564620 | 2 |
| #14563580 | 2 |
| #14562154 | 2 |
| #14561540 | 2 |
| C19×#1297 | 2 |
| #9361 | 19 |