Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
384 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 107 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. C4×#10597274 | C2 | semidirect |
| 4. #14561490 | C2 | semidirect |
| 5. C19×#1568 | C2 | semidirect |
| 7. #11926674 | C4 | semidirect |
| 8. C8×Dic38 | C4 | semidirect |
| 9. #11926623 | C4 | semidirect |
| 11. C8×D76 | C4 | semidirect |
| 132. #1568 | D19 | semidirect |
| 213. C19 | #8696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572610 | 2 |
| C4×#10597274 | 2 |
| #14562161 | 2 |
| #14561490 | 2 |
| C19×#1568 | 2 |
| #8696 | 19 |