Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D5×#467 |
| Fitting | C5×#467 ⋊ C2 |
| Sylow | C5 ⋊ C2×#467 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
88 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#1348, #12009539, D5×#1350, … |
| maximal normal subgroup of | D5×#1348, #12009539, D5×#1350, … |
| maximal quotient of | D5×#1669, D5×#1675, D5×#1683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 14570);