Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
432 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14564358 | C2 | semidirect |
| 3. #14562406 | C2 | semidirect |
| 6. #14561537 | C2 | semidirect |
| 7. C19×#1281 | C2 | semidirect |
| 146. #1281 | D19 | semidirect |
| 224. C19 | #8880 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572354 | 2 |
| #14564358 | 2 |
| #14562406 | 2 |
| #14562131 | 2 |
| #14562035 | 2 |
| #14561537 | 2 |
| C19×#1281 | 2 |
| #8880 | 19 |