Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#65957 |
| Sylow | C5 ⋊ C2×#544 |
1080 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
100 conjugacy classes — view the full character table.
| maximal subgroup of | #11991115, #11991117, C2×#10601772, … |
| maximal normal subgroup of | #11991115, #11991117, C2×#10601772, … |
| maximal quotient of | C2×#10605600, C2×#10606113, C2×#10605605, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 19947);