Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
334 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14563754 | C2 | semidirect |
| 3. #14562407 | C2 | semidirect |
| 6. #14561463 | C2 | semidirect |
| 7. C19×#1571 | C2 | semidirect |
| 110. #1571 | D19 | semidirect |
| 177. C19 | #10665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564466 | 2 |
| #14563754 | 2 |
| #14562407 | 2 |
| #14562035 | 2 |
| #14562033 | 2 |
| #14561463 | 2 |
| C19×#1571 | 2 |
| #10665 | 19 |