Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14564574 | C2 | semidirect |
| 5. #14562063 | C2 | semidirect |
| 6. #14561479 | C2 | semidirect |
| 7. C19×#1301 | C2 | semidirect |
| 116. C2×C19⋊C8 | SD16 | semidirect |
| 166. #1301 | D19 | semidirect |
| 256. C19 | #9047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573667 | 2 |
| #14572352 | 2 |
| #14564574 | 2 |
| #14562285 | 2 |
| #14562063 | 2 |
| #14561479 | 2 |
| C19×#1301 | 2 |
| #9047 | 19 |