Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
386 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 101 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. C4×#10597279 | C2 | semidirect |
| 3. #14562393 | C2 | semidirect |
| 6. #14561526 | C2 | semidirect |
| 7. C19×#1299 | C2 | semidirect |
| 158. #1299 | D19 | semidirect |
| 247. C19 | #8673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572596 | 2 |
| C4×#10597279 | 2 |
| #14562393 | 2 |
| #14562075 | 2 |
| #14562072 | 2 |
| #14561526 | 2 |
| C19×#1299 | 2 |
| #8673 | 19 |