Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#64867 |
| Sylow | C5 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
64 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#64867, #13021625, #13021681, … |
| maximal normal subgroup of | C4×#64867, #13021625, #13021681, … |
| maximal quotient of | C2×#10598556, #13015565, #13015569, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 6326);