Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
754 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14564480 | C2 | semidirect |
| 3. #14562368 | C2 | semidirect |
| 4. #14562226 | C2 | semidirect |
| 5. #14562075 | C2 | semidirect |
| 6. #14562072 | C2 | semidirect |
| 7. C19×#1997 | C2 | semidirect |
| 207. #1997 | D19 | semidirect |
| 330. C19 | #8470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577548 | 2 |
| #14564480 | 2 |
| #14562368 | 2 |
| #14562226 | 2 |
| #14562075 | 2 |
| #14562072 | 2 |
| C19×#1997 | 2 |
| #8470 | 19 |