Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 542 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 |
|---|---|---|
| 2. #14564623 | C2 | semidirect |
| 4. #14562390 | C2 | semidirect |
| 5. #14562315 | C2 | semidirect |
| 6. #14561916 | C2 | semidirect |
| 94. #64520 | SD16 | semidirect |
| 132. C19⋊C8 | #100 | semidirect |
| 214. C19 | #9793 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926916 | 2 |
| #14564623 | 2 |
| #14564476 | 2 |
| #14562390 | 2 |
| #14562315 | 2 |
| #14561916 | 2 |
| C19×#1545 | 2 |
| #9793 | 19 |