Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#14523348)⋊C4 |
| Fitting | C2×C4×C257 ⋊ C8 |
| Sylow | C257 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2056 |
Polycyclic presentation:
2^6,257|a^2=d,b^2=e,d^2=f,b^a=bc,g^a=g^64,g^d=g^241,g^f=g^256296 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1640);