Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D5×C22⋊D5 |
| Fitting | C22×C4×C52 ⋊ C22 |
| Sylow | C52 ⋊ C2×C4×D4 |
946 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
208 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 8498);