Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
554 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14561517 | C2 | semidirect |
| 4. #14561516 | C2 | semidirect |
| 5. C19×#1295 | C2 | semidirect |
| 129. #1295 | D19 | semidirect |
| 198. C19 | #8718 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D19×#382 | 2 |
| #14563398 | 2 |
| #14561517 | 2 |
| #14561516 | 2 |
| C19×#1295 | 2 |
| #8718 | 19 |