Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D5×#477 |
| Fitting | C5×#477 ⋊ C2 |
| Sylow | C5 ⋊ C2×#477 |
416 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#1632, D5×#1630, D5×#1637, … |
| maximal normal subgroup of | D5×#1632, D5×#1630, D5×#1637, … |
| maximal quotient of | D5×#1803, D5×#1863, D5×#1921, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 14919);