Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
386 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14563773 | C2 | semidirect |
| 3. #14562370 | C2 | semidirect |
| 4. #14562368 | C2 | semidirect |
| 5. #14562087 | C2 | semidirect |
| 6. C19⋊#1309 | C2 | semidirect |
| 7. C19×#1492 | C2 | semidirect |
| 152. #1492 | D19 | semidirect |
| 236. C19 | #10531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575013 | 2 |
| #14563773 | 2 |
| #14562370 | 2 |
| #14562368 | 2 |
| #14562087 | 2 |
| C19⋊#1309 | 2 |
| C19×#1492 | 2 |
| #10531 | 19 |