Finite Group DatabasebetaFinite Group DatabasebetaOrder 32896.
226 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 6. C2×C4×Dic257 | C4 | semidirect |
| 8. C22⋊#14523339 | C4 | semidirect |
| 13. #95×C257 | C4 | semidirect |
| 75. C257 | #1284 | semidirect |
| 89. #95 | Dic257 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30656701 | 2 |
| C4×C22⋊Dic257 | 2 |
| #381×C257 | 2 |
| #1284 | 257 |