Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
528 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14564580 | C2 | semidirect |
| 4. #14562237 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 7. C19×#3236 | C2 | semidirect |
| 176. #3236 | D19 | semidirect |
| 287. C19 | #10009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573730 | 2 |
| #14568802 | 2 |
| #14564580 | 2 |
| #14562237 | 2 |
| #14562077 | 2 |
| #14561492 | 2 |
| C19×#3236 | 2 |
| #10009 | 19 |