Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
594 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #14569302 | C2 | semidirect |
| 4. #14561544 | C2 | semidirect |
| 5. #14561489 | C2 | semidirect |
| 6. #14561488 | C2 | semidirect |
| 318. C19 | #10388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569302 | 2 |
| #14563579 | 2 |
| #14563553 | 2 |
| #14561544 | 2 |
| #14561489 | 2 |
| #14561488 | 2 |
| C19×#1789 | 2 |
| #10388 | 19 |