Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
432 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14562405 | C2 | semidirect |
| 5. #14561538 | C2 | semidirect |
| 6. #14561480 | C2 | semidirect |
| 7. C19×#1940 | C2 | semidirect |
| 141. #1940 | D19 | semidirect |
| 224. C19 | #8880 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572354 | 2 |
| #14562405 | 2 |
| #14562129 | 2 |
| #14562033 | 2 |
| #14561538 | 2 |
| #14561480 | 2 |
| C19×#1940 | 2 |
| #8880 | 19 |