Finite Group DatabasebetaFinite Group DatabasebetaOrder 32896.
292 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 11. C4⋊#14523339 | C4 | semidirect |
| 15. C4⋊C8×C257 | C4 | semidirect |
| 60. C4×C257 | #97 | semidirect |
| 72. C257 | #1767 | semidirect |
| 87. C4⋊C8 | Dic257 | semidirect |
| 135. C4 | #22551502 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#14523339 | 2 |
| C2×#22551502 | 2 |
| C42×Dic257 | 2 |
| #30656491 | 2 |
| C2×C4⋊C8×C257 | 2 |
| #1767 | 257 |