Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
248 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 129. C19 | #2068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597264 | 2 |
| C2×Dic19⋊C8 | 2 |
| C2×#10597273 | 2 |
| C2×#10597267 | 2 |
| #11926449 | 2 |
| #11926440 | 2 |
| C19×#340 | 2 |
| #2068 | 19 |