Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
814 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 814 conjugacy classes of subgroups — too many to draw. Only its 113 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×#10597280 | C2 | semidirect |
| 3. #14562237 | C2 | semidirect |
| 4. #14562079 | C2 | semidirect |
| 5. #14562077 | C2 | semidirect |
| 6. #14561975 | C2 | semidirect |
| 7. C19×#1528 | C2 | semidirect |
| 226. #1528 | D19 | semidirect |
| 360. C19 | #8373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11927247 | 2 |
| C4×#10597280 | 2 |
| #14562237 | 2 |
| #14562079 | 2 |
| #14562077 | 2 |
| #14561975 | 2 |
| C19×#1528 | 2 |
| #8373 | 19 |