Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C25×#170 |
| derived | C5 ⋊ C2×C8×C25 |
| Sylow | C5×C25 ⋊ C2×C8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 290);