Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of #64945 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#65241 |
| Sylow | C5 ⋊ C2×#397 |
820 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#65241, #12021123, #12024653, … |
| maximal normal subgroup of | C4×#65241, #12021123, #12024653, … |
| maximal quotient of | C2×#10602340, C2×#10602342, C2×#10602341, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 15916);