Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C53 |
| direct product | C2×#11758769 |
| Sylow | C53 ⋊ C2×Q8 |
1216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2000 |
506 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 882);