Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
408 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14562409 | C2 | semidirect |
| 4. #14562319 | C2 | semidirect |
| 5. #14562317 | C2 | semidirect |
| 7. C19×#1301 | C2 | semidirect |
| 142. #1301 | D19 | 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×#11926835 | 2 |
| #14563624 | 2 |
| #14562409 | 2 |
| #14562319 | 2 |
| #14562317 | 2 |
| #14562027 | 2 |
| C19×#1301 | 2 |
| #10453 | 19 |