Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #87721 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×#87724 |
| Fitting | C5×Q8×C25 ⋊ C2 |
| Sylow | C5×C25 ⋊ SD16 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
335 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 167);