Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
498 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14564555 | C2 | semidirect |
| 3. #14564553 | C2 | semidirect |
| 4. C4×#10597265 | C2 | semidirect |
| 5. #14562131 | C2 | semidirect |
| 6. #14561925 | C2 | semidirect |
| 7. C19×#1502 | C2 | semidirect |
| 9. #11926947 | C4 | semidirect |
| 10. #11926920 | C4 | semidirect |
| 11. #11926892 | C4 | semidirect |
| 12. #11926890 | C4 | semidirect |
| 172. C19⋊C8 | #104 | semidirect |
| 178. #1502 | D19 | semidirect |
| 278. C19 | #9721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574210 | 2 |
| #14564555 | 2 |
| #14564553 | 2 |
| C4×#10597265 | 2 |
| #14562131 | 2 |
| #14561925 | 2 |
| C19×#1502 | 2 |
| #9721 | 19 |