Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
844 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 844 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. #14564099 | C2 | semidirect |
| 3. #14564066 | C2 | semidirect |
| 4. #14563935 | C2 | semidirect |
| 5. #14562176 | C2 | semidirect |
| 6. #14562154 | C2 | semidirect |
| 7. C19×#1964 | C2 | semidirect |
| 15. #11927170 | C4 | semidirect |
| 18. #11927132 | C4 | semidirect |
| 273. #1964 | D19 | semidirect |
| 426. C19 | #8481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577857 | 2 |
| #14564099 | 2 |
| #14564066 | 2 |
| #14563935 | 2 |
| #14562176 | 2 |
| #14562154 | 2 |
| C19×#1964 | 2 |
| #8481 | 19 |