Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
390 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 390 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. #14563806 | C2 | semidirect |
| 3. #14562424 | C2 | semidirect |
| 6. #14561473 | C2 | semidirect |
| 7. C19×#1299 | C2 | semidirect |
| 127. D76 | #108 | semidirect |
| 149. #1299 | D19 | semidirect |
| 233. C19 | #8898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572761 | 2 |
| #14563806 | 2 |
| #14562424 | 2 |
| #14562075 | 2 |
| #14562015 | 2 |
| #14561473 | 2 |
| C19×#1299 | 2 |
| #8898 | 19 |