Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14563713 | C2 | semidirect |
| 4. #14563713 | C2 | semidirect |
| 6. #14561541 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 173. #1305 | D19 | semidirect |
| 272. C19 | #9508 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572674 | 2 |
| #14567944 | 2 |
| #14563713 | 2 |
| #14561971 | 2 |
| #14561541 | 2 |
| C19×#1305 | 2 |
| #9508 | 19 |