Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
578 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14574618 | C2 | semidirect |
| 2. #14574103 | C2 | semidirect |
| 3. #14562104 | C2 | semidirect |
| 4. #14562052 | C2 | semidirect |
| 5. #14561988 | C2 | semidirect |
| 6. #14561508 | C2 | semidirect |
| 7. C19×#3214 | C2 | semidirect |
| 183. #3214 | D19 | semidirect |
| 296. C19 | #10120 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574618 | 2 |
| #14574103 | 2 |
| #14562104 | 2 |
| #14562052 | 2 |
| #14561988 | 2 |
| #14561508 | 2 |
| C19×#3214 | 2 |
| #10120 | 19 |