Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
314 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 4. C22×C19⋊C16 | C4 | semidirect |
| 9. #11926307 | C4 | semidirect |
| 13. C19×#340 | C4 | semidirect |
| 131. #340 | Dic19 | semidirect |
| 159. C19 | #7230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊(C19⋊C16) | 2 |
| #14563664 | 2 |
| C19×#1808 | 2 |
| #7230 | 19 |