Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
494 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14564479 | C2 | semidirect |
| 4. #14562394 | C2 | semidirect |
| 5. #14562306 | C2 | semidirect |
| 7. C8×M16×C19 | C2 | semidirect |
| 139. C8×M16 | 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×#11926891 | 2 |
| #14564479 | 2 |
| #14564475 | 2 |
| #14562394 | 2 |
| #14562306 | 2 |
| #14562302 | 2 |
| C8×M16×C19 | 2 |
| #9796 | 19 |