Finite Group DatabasebetaFinite Group DatabasebetaOrder 32896.
188 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 52. C257 | #1837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30656760 | 2 |
| C2×C8×Dic257 | 2 |
| #30656502 | 2 |
| #30656501 | 2 |
| #341×C257 | 2 |
| #1837 | 257 |