Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
372 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14562381 | C2 | semidirect |
| 3. C2×#11926296 | C2 | semidirect |
| 6. #14561486 | C2 | semidirect |
| 7. C19×#1283 | C2 | semidirect |
| 137. #1283 | D19 | semidirect |
| 215. C19 | #8606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572280 | 2 |
| #14562381 | 2 |
| C2×#11926296 | 2 |
| #14562023 | 2 |
| #14562020 | 2 |
| #14561486 | 2 |
| C19×#1283 | 2 |
| #8606 | 19 |