Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
686 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 686 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. #14564629 | C2 | semidirect |
| 3. #14562358 | C2 | semidirect |
| 4. #14562243 | C2 | semidirect |
| 5. #14562101 | C2 | semidirect |
| 6. #14562051 | C2 | semidirect |
| 7. C19×#1470 | C2 | semidirect |
| 226. #1470 | D19 | semidirect |
| 356. C19 | #8486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578169 | 2 |
| #14564629 | 2 |
| #14562358 | 2 |
| #14562243 | 2 |
| #14562101 | 2 |
| #14562051 | 2 |
| C19×#1470 | 2 |
| #8486 | 19 |