Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C8 · Schur multiplier (H2) = C2 |
| direct product | C5×D25⋊C8 |
| derived | C25 ⋊ C2×C5×C8 |
| Sylow | C5×C25 ⋊ C2×C8 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
200 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 276);