Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
686 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #14564611 | C2 | semidirect |
| 4. #14562133 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1303 | C2 | semidirect |
| 13. #11926835 | C4 | semidirect |
| 14. #11926750 | C4 | semidirect |
| 56. #10597315 | C2×C4 | semidirect |
| 57. #10597315 | C2×C4 | semidirect |
| 62. C19×C4⋊C8 | C2×C4 | semidirect |
| 125. C4×Dic19 | SD16 | semidirect |
| 179. #1303 | D19 | semidirect |
| 267. C4⋊C8 | C4×D19 | semidirect |
| 276. C19 | #9231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573644 | 2 |
| C4×#10597339 | 2 |
| #14564611 | 2 |
| #14562133 | 2 |
| #14562059 | 2 |
| #14561467 | 2 |
| C19×#1303 | 2 |
| #9231 | 19 |