Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #677 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C1 |
| direct product | C25×Dic20 |
| Sylow | C5×C25 ⋊ Q16 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
575 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 123);