Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
510 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14563414 | C2 | semidirect |
| 4. #14561520 | C2 | semidirect |
| 5. C19×#1298 | C2 | semidirect |
| 6. C2×#10597353 | C4 | semidirect |
| 11. #11926572 | C4 | semidirect |
| 12. #11926512 | C4 | semidirect |
| 13. #11926502 | C4 | semidirect |
| 17. #11926282 | C4 | semidirect |
| 18. #11926279 | C4 | semidirect |
| 126. #1298 | D19 | semidirect |
| 194. C19 | #8239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572325 | 2 |
| #14563414 | 2 |
| #14562127 | 2 |
| #14561520 | 2 |
| C19×#1298 | 2 |
| #8239 | 19 |