Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
420 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14563650 | C2 | semidirect |
| 3. #14562410 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1461 | C2 | semidirect |
| 161. #1461 | D19 | semidirect |
| 247. C19 | #10466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573107 | 2 |
| #14563650 | 2 |
| #14562410 | 2 |
| #14562282 | 2 |
| #14562196 | 2 |
| #14561494 | 2 |
| C19×#1461 | 2 |
| #10466 | 19 |