Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of D80 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#64724 |
| Sylow | C5 ⋊ C2×#366 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
172 conjugacy classes — view the full character table.
| maximal subgroup of | #11987000, #11987001, #11987018, … |
| maximal normal subgroup of | #11987000, #11987001, #11987018, … |
| maximal quotient of | C2×#10597991, #12010942, #12010981, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 4277);