Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
616 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14561516 | C2 | semidirect |
| 5. C19×#1295 | C2 | semidirect |
| 17. #11926283 | C4 | semidirect |
| 43. C19×#97 | C2×C4 | semidirect |
| 49. #10597260 | C2×C4 | semidirect |
| 130. #1295 | D19 | semidirect |
| 150. Dic19 | #329 | semidirect |
| 197. #97 | C4×D19 | semidirect |
| 201. C19 | C4×#329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566174 | 2 |
| #97×Dic19 | 2 |
| C2×#11926283 | 2 |
| #14561516 | 2 |
| C19×#1295 | 2 |
| C4×#329 | 19 |