Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
578 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #14568620 | C2 | semidirect |
| 4. #14562306 | C2 | semidirect |
| 6. #14561537 | C2 | semidirect |
| 7. C19×#1479 | C2 | semidirect |
| 190. #1479 | D19 | semidirect |
| 290. C19 | #10243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574758 | 2 |
| #14573107 | 2 |
| #14568620 | 2 |
| #14562306 | 2 |
| #14562131 | 2 |
| #14561537 | 2 |
| C19×#1479 | 2 |
| #10243 | 19 |