Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×D5⋊#681 |
| unambiguous semidirect product | D5⋊(C2×#681) |
| Sylow | C52 ⋊ C22×M16 |
623 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
184 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 10133);