Finite Group DatabasebetaFinite Group DatabasebetaOrder 32896.
292 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 98. Dic257 | #101 | semidirect |
| 103. C257 | #1966 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22551590 | 2 |
| #30656760 | 2 |
| C2×#22551511 | 2 |
| C2×#22551510 | 2 |
| M16×Dic257 | 2 |
| C2×#101×C257 | 2 |
| #1966 | 257 |