Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
682 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14564576 | C2 | semidirect |
| 3. #14562336 | C2 | semidirect |
| 5. #14562251 | C2 | semidirect |
| 7. C19×#1467 | C2 | semidirect |
| 187. #1467 | D19 | semidirect |
| 294. C19 | #8461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577500 | 2 |
| #14564576 | 2 |
| #14562336 | 2 |
| #14562331 | 2 |
| #14562251 | 2 |
| #14562247 | 2 |
| C19×#1467 | 2 |
| #8461 | 19 |