Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
348 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14563775 | C2 | semidirect |
| 3. #14562366 | C2 | semidirect |
| 5. #14562251 | C2 | semidirect |
| 7. C19×#1307 | C2 | semidirect |
| 138. #1307 | D19 | semidirect |
| 216. C19 | #10527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575023 | 2 |
| #14563775 | 2 |
| #14562366 | 2 |
| #14562358 | 2 |
| #14562251 | 2 |
| #14562247 | 2 |
| C19×#1307 | 2 |
| #10527 | 19 |