Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
522 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 9. #11926299 | C4 | semidirect |
| 13. C19×#336 | C4 | semidirect |
| 27. C2×C4×Dic19 | C8 | semidirect |
| 151. #336 | Dic19 | semidirect |
| 180. C19 | #7017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563703 | 2 |
| C4×C19⋊#95 | 2 |
| C19×#1817 | 2 |
| #7017 | 19 |