Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×D5×#131 |
| Fitting | C2×C5×#131 ⋊ C2 |
| Sylow | C5 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #12014743, D5×#1757, D5×#1764, … |
| maximal normal subgroup of | #12014743, D5×#1757, D5×#1764, … |
| maximal quotient of | C2×D5×#405, C4×D5×#131, C2×Dic5×#131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 21141);