Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
590 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 590 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 |
|---|---|---|
| 1. #14574765 | C2 | semidirect |
| 3. #14568804 | C2 | semidirect |
| 4. #14562321 | C2 | semidirect |
| 5. #14562129 | C2 | semidirect |
| 6. #14562025 | C2 | semidirect |
| 7. C19×#1303 | C2 | semidirect |
| 188. #1303 | D19 | semidirect |
| 290. C19 | #10241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574765 | 2 |
| #14573101 | 2 |
| #14568804 | 2 |
| #14562321 | 2 |
| #14562129 | 2 |
| #14562025 | 2 |
| C19×#1303 | 2 |
| #10241 | 19 |