Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
490 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 4. #14562148 | C2 | semidirect |
| 5. #14562146 | C2 | semidirect |
| 6. #14561529 | C2 | semidirect |
| 7. C19×#1300 | C2 | semidirect |
| 10. #11926904 | C4 | semidirect |
| 11. #11926904 | C4 | semidirect |
| 53. #10597315 | C2×C4 | semidirect |
| 54. #10597315 | C2×C4 | semidirect |
| 60. C19×#97 | C2×C4 | semidirect |
| 179. #1300 | D19 | semidirect |
| 270. #97 | C4×D19 | semidirect |
| 280. C19 | #9439 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574022 | 2 |
| #14566745 | 2 |
| #14562258 | 2 |
| #14562148 | 2 |
| #14562146 | 2 |
| #14561529 | 2 |
| C19×#1300 | 2 |
| #9439 | 19 |