Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
554 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14564464 | C2 | semidirect |
| 3. #14564462 | C2 | semidirect |
| 4. C4×C8×Dic19 | C2 | semidirect |
| 5. #14562393 | C2 | semidirect |
| 6. #14562087 | C2 | semidirect |
| 7. C19×#1492 | C2 | semidirect |
| 9. #11926947 | C4 | semidirect |
| 10. #11926920 | C4 | semidirect |
| 11. #11926892 | C4 | semidirect |
| 12. #11926890 | C4 | semidirect |
| 107. C4×Dic19 | D8 | semidirect |
| 150. C19⋊C8 | #104 | semidirect |
| 157. #1492 | D19 | semidirect |
| 243. C19 | #9844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574210 | 2 |
| #14564464 | 2 |
| #14564462 | 2 |
| C4×C8×Dic19 | 2 |
| #14562393 | 2 |
| #14562087 | 2 |
| C19×#1492 | 2 |
| #9844 | 19 |