Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
494 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14564480 | C2 | semidirect |
| 4. #14562393 | C2 | semidirect |
| 6. #14561916 | C2 | semidirect |
| 7. C19×#1546 | C2 | semidirect |
| 137. #1546 | D19 | semidirect |
| 214. C19 | #9796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926892 | 2 |
| #14564480 | 2 |
| #14564474 | 2 |
| #14562393 | 2 |
| #14562302 | 2 |
| #14561916 | 2 |
| C19×#1546 | 2 |
| #9796 | 19 |