Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
744 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 744 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 125. C22⋊Dic19 | Q16 | semidirect |
| 298. C19 | #9957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574410 | 2 |
| C2×#11926700 | 2 |
| #14567275 | 2 |
| #14564619 | 2 |
| #14562206 | 2 |
| #14561482 | 2 |
| C19×#1787 | 2 |
| #9957 | 19 |