Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
388 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14563807 | C2 | semidirect |
| 3. #14562423 | C2 | semidirect |
| 6. #14561525 | C2 | semidirect |
| 7. C19×#1278 | C2 | semidirect |
| 134. Dic38 | #108 | semidirect |
| 150. #1278 | D19 | semidirect |
| 233. C19 | #8899 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572764 | 2 |
| #14563807 | 2 |
| #14562423 | 2 |
| #14562075 | 2 |
| #14562018 | 2 |
| #14561525 | 2 |
| C19×#1278 | 2 |
| #8899 | 19 |