Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14566820 | C2 | semidirect |
| 5. C2×#11926285 | C2 | semidirect |
| 6. #14561517 | C2 | semidirect |
| 7. C19×#1295 | C2 | semidirect |
| 11. #11926909 | C4 | semidirect |
| 190. #1295 | D19 | semidirect |
| 294. C19 | #9002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926909 | 2 |
| #14566820 | 2 |
| #14564459 | 2 |
| #14564458 | 2 |
| C2×#11926285 | 2 |
| #14561517 | 2 |
| C19×#1295 | 2 |
| #9002 | 19 |