Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
748 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 748 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 |
|---|---|---|
| 2. #14564468 | C2 | semidirect |
| 3. #14562366 | C2 | semidirect |
| 4. #14562358 | C2 | semidirect |
| 5. #14562148 | C2 | semidirect |
| 6. #14562144 | C2 | semidirect |
| 7. C19×#1536 | C2 | semidirect |
| 9. #11927255 | C4 | semidirect |
| 12. #11927214 | C4 | semidirect |
| 198. #1536 | D19 | semidirect |
| 312. C19 | #8493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578033 | 2 |
| #14564468 | 2 |
| #14562366 | 2 |
| #14562358 | 2 |
| #14562148 | 2 |
| #14562144 | 2 |
| C19×#1536 | 2 |
| #8493 | 19 |