Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
616 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 153 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. #97×Dic19 | C2 | semidirect |
| 4. #14561517 | C2 | semidirect |
| 17. #11926284 | C4 | semidirect |
| 20. C19×#329 | C4 | semidirect |
| 44. C19×#97 | C2×C4 | semidirect |
| 50. #10597260 | C2×C4 | semidirect |
| 151. Dic19 | #329 | direct (N × H) |
| 166. #329 | Dic19 | direct (N × H) |
| 199. #97 | C2×Dic19 | semidirect |
| 203. C19 | C4×#329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×Dic19 | 2 |
| #97×Dic19 | 2 |
| C2×#11926284 | 2 |
| #14561517 | 2 |
| C2×C19×#329 | 2 |
| C4×#329 | 19 |