Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
842 conjugacy classes of subgroups; only the 331 normal subgroups are shown.
This group has 842 conjugacy classes of subgroups — too many to draw. Only its 331 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×#10597272 | C4 | semidirect |
| 8. C2×C8×Dic19 | C4 | semidirect |
| 9. #11926301 | C4 | semidirect |
| 11. C19×#338 | C4 | semidirect |
| 91. #338 | Dic19 | semidirect |
| 114. C19 | #10699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926502 | 2 |
| C2×#11926301 | 2 |
| C2×C19×#338 | 2 |
| #10699 | 19 |