Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
730 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 730 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 7. C2×C22⋊(C19⋊C8) | C4 | semidirect |
| 13. C2×C19×C22⋊C8 | C4 | semidirect |
| 29. C2×C22⋊Dic19 | C8 | semidirect |
| 208. C2×C22⋊C8 | Dic19 | semidirect |
| 248. C19 | #7032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563545 | 2 |
| #14561858 | 2 |
| C19×#1779 | 2 |
| #7032 | 19 |