Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| isoclinism | isoclinic class of #1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C22×D25⋊C8 |
| unambiguous semidirect product | D25⋊(C22×C8) |
| derived, Sylow | C25 ⋊ C23×C8 |
507 conjugacy classes of subgroups.
| transitive degree | μt(G) = 800 |
160 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 2013);