Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
516 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 516 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. #14572756 | C2 | semidirect |
| 3. #14564464 | C2 | semidirect |
| 4. C4×#10597282 | C2 | semidirect |
| 5. #14561525 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1484 | C2 | semidirect |
| 10. #11926836 | C4 | semidirect |
| 11. #11926831 | C4 | semidirect |
| 12. #11926741 | C4 | semidirect |
| 13. #11926736 | C4 | semidirect |
| 173. D76 | #104 | semidirect |
| 191. #1484 | D19 | semidirect |
| 299. C19 | #8969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573689 | 2 |
| #14572756 | 2 |
| #14564464 | 2 |
| C4×#10597282 | 2 |
| #14561525 | 2 |
| #14561467 | 2 |
| C19×#1484 | 2 |
| #8969 | 19 |