Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
364 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 364 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 |
|---|---|---|
| 2. #14563772 | C2 | semidirect |
| 3. #14562372 | C2 | semidirect |
| 5. #14562089 | C2 | semidirect |
| 7. C19×#1309 | C2 | semidirect |
| 146. #1309 | D19 | semidirect |
| 226. C19 | #10533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575023 | 2 |
| #14563772 | 2 |
| #14562372 | 2 |
| #14562368 | 2 |
| #14562089 | 2 |
| #14562085 | 2 |
| C19×#1309 | 2 |
| #10533 | 19 |