Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Dic5×#123 |
| Sylow | C5 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | Dic5×#352, #12015266, Dic5×#458, … |
| maximal normal subgroup of | Dic5×#352, #12015266, Dic5×#458, … |
| maximal quotient of | Dic5×#386, Dic5×#388, Dic5×#385, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 16648);