Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
404 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 29. C22×Dic38 | Q8 | semidirect |
| 41. C2×C4⋊Dic19 | Q8 | semidirect |
| 255. C19 | #10383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564619 | 2 |
| #14562167 | 2 |
| #14562154 | 2 |
| #14561541 | 2 |
| #14561521 | 2 |
| #14561487 | 2 |
| C19×#2665 | 2 |
| #10383 | 19 |