Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
392 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 2. #14562398 | C2 | semidirect |
| 3. #14562236 | C2 | semidirect |
| 5. #14561990 | C2 | semidirect |
| 7. C8×M16×C19 | C2 | semidirect |
| 158. C8×M16 | D19 | semidirect |
| 248. C19 | #9789 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926899 | 2 |
| #14562398 | 2 |
| #14562236 | 2 |
| #14562232 | 2 |
| #14561990 | 2 |
| #14561986 | 2 |
| C8×M16×C19 | 2 |
| #9789 | 19 |