Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
560 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 38. C19×C22⋊C8 | Q8 | semidirect |
| 45. C19⋊#95 | Q8 | semidirect |
| 227. C22⋊C8 | Dic38 | semidirect |
| 235. C19 | #10568 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569749 | 2 |
| #14563830 | 2 |
| #14561891 | 2 |
| #14561515 | 2 |
| C19×#1280 | 2 |
| #10568 | 19 |