Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of Dic50 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C5 · Schur multiplier (H2) = C2 |
| direct product | C5×C4⋊Dic25 |
| unambiguous semidirect product | C4⋊(C5×Dic25) |
| Sylow | C5×C25 ⋊ C4⋊C4 |
110 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, 140);