Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
780 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 95 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. C2×#11926931 | C2 | semidirect |
| 2. #14571681 | C2 | semidirect |
| 3. C2×#11926283 | C2 | semidirect |
| 4. #14561516 | C2 | semidirect |
| 5. C19×#1961 | C2 | semidirect |
| 28. C19×#127 | D4 | semidirect |
| 48. #10597260 | D4 | semidirect |
| 123. #1961 | D19 | semidirect |
| 178. #127 | D76 | semidirect |
| 194. C19 | #10078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926931 | 2 |
| #14571681 | 2 |
| C2×#11926283 | 2 |
| #14561516 | 2 |
| C19×#1961 | 2 |
| #10078 | 19 |