Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
438 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14572706 | C2 | semidirect |
| 3. #14562258 | C2 | semidirect |
| 4. #14561986 | C2 | semidirect |
| 5. C19⋊#1308 | C2 | semidirect |
| 6. #14561497 | C2 | semidirect |
| 7. C19×#1553 | C2 | semidirect |
| 143. #1553 | D19 | semidirect |
| 231. C19 | #9333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574618 | 2 |
| #14572706 | 2 |
| #14562258 | 2 |
| #14561986 | 2 |
| C19⋊#1308 | 2 |
| #14561497 | 2 |
| C19×#1553 | 2 |
| #9333 | 19 |