Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
678 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 678 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 1. #14574765 | C2 | semidirect |
| 3. #14571992 | C2 | semidirect |
| 4. #14564463 | C2 | semidirect |
| 5. #14562319 | C2 | semidirect |
| 6. #14562302 | C2 | semidirect |
| 7. C19×#1276 | C2 | semidirect |
| 168. #1276 | D19 | semidirect |
| 259. C19 | #10282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574765 | 2 |
| #14574555 | 2 |
| #14571992 | 2 |
| #14564463 | 2 |
| #14562319 | 2 |
| #14562302 | 2 |
| C19×#1276 | 2 |
| #10282 | 19 |