Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C52 · Schur multiplier (H2) = C2×C5 |
| direct product | C52×#686 |
| Fitting | C53×D4 ⋊ C2 |
| Sylow | C53 ⋊ D8 |
368 conjugacy classes of subgroups.
| transitive degree | μt(G) = 200 |
425 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 580);