Finite Group DatabasebetaFinite Group Databasebeta| order | 32896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | #385×C257 ⋊ C2 |
| Sylow | C257 ⋊ #2342 |
792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^7,257|a^2=g,b^2=f,b^a=be,c^a=cf,d^b=de,h^b=h^256,h^c=h^2563634 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32896, 7357);