Finite Group DatabasebetaFinite Group DatabasebetaOrder 32896.
218 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 59 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. #30656792 | C2 | semidirect |
| 3. #97×D257 | C2 | semidirect |
| 4. #30656478 | C2 | semidirect |
| 5. #30656478 | C2 | semidirect |
| 6. #30656477 | C2 | semidirect |
| 7. #329×C257 | C2 | semidirect |
| 98. C257 | #1532 | semidirect |
| 106. #329 | D257 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30657266 | 2 |
| #30656792 | 2 |
| #97×D257 | 2 |
| #30656478 | 2 |
| #30656477 | 2 |
| #329×C257 | 2 |
| #1532 | 257 |