Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
672 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14562346 | C2 | semidirect |
| 3. #14562267 | C2 | semidirect |
| 4. #14562210 | C2 | semidirect |
| 5. #14562185 | C2 | semidirect |
| 6. #14562104 | C2 | semidirect |
| 7. C19×#1514 | C2 | semidirect |
| 9. #11927280 | C4 | semidirect |
| 11. #11927269 | C4 | semidirect |
| 13. #11927214 | C4 | semidirect |
| 14. #11927209 | C4 | semidirect |
| 239. #1514 | D19 | semidirect |
| 380. C19 | #8503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578100 | 2 |
| #14562346 | 2 |
| #14562267 | 2 |
| #14562210 | 2 |
| #14562185 | 2 |
| #14562104 | 2 |
| C19×#1514 | 2 |
| #8503 | 19 |