Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
564 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 564 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 |
|---|---|---|
| 1. #14574573 | C2 | semidirect |
| 3. #14564459 | C2 | semidirect |
| 4. #14562199 | C2 | semidirect |
| 5. #14562195 | C2 | semidirect |
| 6. #14561480 | C2 | semidirect |
| 7. C19×#3135 | C2 | semidirect |
| 169. #3135 | D19 | semidirect |
| 272. C19 | #10219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574573 | 2 |
| #14574550 | 2 |
| #14564459 | 2 |
| #14562199 | 2 |
| #14562195 | 2 |
| #14561480 | 2 |
| C19×#3135 | 2 |
| #10219 | 19 |