Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
482 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14562232 | C2 | semidirect |
| 4. #14561986 | C2 | semidirect |
| 5. C8×M16×C19 | C2 | semidirect |
| 129. C8×M16 | D19 | semidirect |
| 202. C19 | #9787 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926928 | 2 |
| #14562398 | 2 |
| #14562232 | 2 |
| #14561986 | 2 |
| C8×M16×C19 | 2 |
| #9787 | 19 |