Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D16×D25 |
| Fitting | C25×D16 ⋊ C2 |
| Sylow | C25 ⋊ C2×D16 |
147 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
154 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 537);