Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
748 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 748 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14564466 | C2 | semidirect |
| 3. #14562355 | C2 | semidirect |
| 4. #14562269 | C2 | semidirect |
| 5. #14562147 | C2 | semidirect |
| 6. #14562144 | C2 | semidirect |
| 7. C19×#1559 | C2 | semidirect |
| 10. #11927254 | C4 | semidirect |
| 12. #11927216 | C4 | semidirect |
| 196. #1559 | D19 | semidirect |
| 312. C19 | #8493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578035 | 2 |
| #14564466 | 2 |
| #14562355 | 2 |
| #14562269 | 2 |
| #14562147 | 2 |
| #14562144 | 2 |
| C19×#1559 | 2 |
| #8493 | 19 |