Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
456 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14563671 | C2 | semidirect |
| 3. #14563662 | C2 | semidirect |
| 6. #14561540 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 8. C2×#10597353 | C4 | semidirect |
| 17. #11926572 | C4 | semidirect |
| 18. #11926512 | C4 | semidirect |
| 20. #11926502 | C4 | semidirect |
| 186. #1305 | D19 | semidirect |
| 289. C19 | #8628 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572325 | 2 |
| #14563671 | 2 |
| #14563662 | 2 |
| #14562179 | 2 |
| #14562176 | 2 |
| #14561540 | 2 |
| C19×#1305 | 2 |
| #8628 | 19 |