Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D5×Dic50 |
| unambiguous semidirect product | (D5×C25)⋊Q8 |
| Sylow | C5×C25 ⋊ C2×Q8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
212 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 356);