Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
868 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 868 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14563640 | C2 | semidirect |
| 4. C2×Q8⋊(C19⋊C8) | C2 | semidirect |
| 16. C19×#559 | C4 | semidirect |
| 163. #559 | Dic19 | semidirect |
| 215. C19 | #8445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564442 | 2 |
| #14563640 | 2 |
| C2×#11926288 | 2 |
| C2×Q8⋊(C19⋊C8) | 2 |
| C2×C19×#559 | 2 |
| #8445 | 19 |