Finite Group DatabasebetaFinite Group DatabasebetaOrder 32896.
260 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #30656764 | C2 | semidirect |
| 4. #30656507 | C2 | semidirect |
| 65. C257 | #1868 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30657504 | 2 |
| #30656764 | 2 |
| #30656704 | 2 |
| #30656507 | 2 |
| #410×C257 | 2 |
| #1868 | 257 |