Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
322 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 89. C19⋊C8 | #108 | semidirect |
| 151. C19 | #8828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563806 | 2 |
| #14563772 | 2 |
| #14562393 | 2 |
| #14562391 | 2 |
| #14562390 | 2 |
| C2×#11926266 | 2 |
| C19×#1567 | 2 |
| #8828 | 19 |