Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
408 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #14562410 | C2 | semidirect |
| 4. #14562319 | C2 | semidirect |
| 5. #14562315 | C2 | semidirect |
| 6. #14561531 | C2 | semidirect |
| 220. C19 | #10453 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926834 | 2 |
| #14563627 | 2 |
| #14562410 | 2 |
| #14562319 | 2 |
| #14562315 | 2 |
| #14561531 | 2 |
| C19×#1478 | 2 |
| #10453 | 19 |