Finite Group DatabasebetaFinite Group Databasebeta| order | 32128 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#30632436 |
| Fitting | C2×C4⋊Q8×C251 ⋊ C2 |
| Sylow | C251 ⋊ C2×#563 |
1024 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
3538 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32128, 18639);