Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
706 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 706 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14564482 | C2 | semidirect |
| 3. #14562243 | C2 | semidirect |
| 4. #14562098 | C2 | semidirect |
| 5. #14562056 | C2 | semidirect |
| 6. #14561988 | C2 | semidirect |
| 7. C19×#1559 | C2 | semidirect |
| 235. #1559 | D19 | semidirect |
| 372. C19 | #8484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578200 | 2 |
| #14564482 | 2 |
| #14562243 | 2 |
| #14562098 | 2 |
| #14562056 | 2 |
| #14561988 | 2 |
| C19×#1559 | 2 |
| #8484 | 19 |