Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C5 · Schur multiplier (H2) = C4 |
| direct product | C4×C5×#1035 |
| Fitting | C4×C5×C25 ⋊ C4 |
| derived | C25 ⋊ C42×C5 |
| Sylow | C5×C25 ⋊ C42 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | C4×C5×AGL(1,ℤ/25) |
| maximal normal subgroup of | C4×C5×AGL(1,ℤ/25) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 280);