Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #6045 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C5 · Schur multiplier (H2) = C2×C5 |
| direct product | C5×#87806 |
| Sylow | C53 ⋊ C4⋊C4 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
530 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 593);