Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
728 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14564567 | C2 | semidirect |
| 3. #14562335 | C2 | semidirect |
| 4. #14562232 | C2 | semidirect |
| 5. #14562158 | C2 | semidirect |
| 6. #14562049 | C2 | semidirect |
| 7. C19×#1986 | C2 | semidirect |
| 8. #11927298 | C4 | semidirect |
| 9. #11927292 | C4 | semidirect |
| 242. #1986 | D19 | semidirect |
| 384. C19 | #8511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578200 | 2 |
| #14564567 | 2 |
| #14562335 | 2 |
| #14562232 | 2 |
| #14562158 | 2 |
| #14562049 | 2 |
| C19×#1986 | 2 |
| #8511 | 19 |