Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 2. #14563776 | C2 | semidirect |
| 3. #14562358 | C2 | semidirect |
| 4. #14562357 | C2 | semidirect |
| 5. #14562245 | C2 | semidirect |
| 6. #14561545 | C2 | semidirect |
| 7. C19×#1530 | C2 | semidirect |
| 142. #1530 | D19 | semidirect |
| 224. C19 | #10525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575013 | 2 |
| #14563776 | 2 |
| #14562358 | 2 |
| #14562357 | 2 |
| #14562245 | 2 |
| #14561545 | 2 |
| C19×#1530 | 2 |
| #10525 | 19 |