Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
822 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 822 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14566700 | C2 | semidirect |
| 3. #14564561 | C2 | semidirect |
| 4. #14561474 | C2 | semidirect |
| 5. C2×C19×#331 | C2 | semidirect |
| 10. #11926920 | C4 | semidirect |
| 43. #10597320 | C2×C4 | semidirect |
| 50. C4×C19⋊C8 | C2×C4 | semidirect |
| 91. C4⋊Dic19 | D8 | semidirect |
| 143. C2×#331 | D19 | semidirect |
| 220. C19 | #9061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926920 | 2 |
| #14566700 | 2 |
| #14564561 | 2 |
| #14561474 | 2 |
| C2×C19×#331 | 2 |
| #9061 | 19 |