Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 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 |
|---|---|---|
| 3. #14562154 | C2 | semidirect |
| 4. #14561488 | C2 | semidirect |
| 11. #11926474 | C4 | semidirect |
| 13. #11926469 | C4 | semidirect |
| 14. #11926464 | C4 | semidirect |
| 16. #11926456 | C4 | semidirect |
| 247. C19 | #9183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572664 | 2 |
| #14569552 | 2 |
| #14562154 | 2 |
| #14561488 | 2 |
| C4×C19×#99 | 2 |
| #9183 | 19 |