Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of #64945 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#65237 |
| Sylow | C5 ⋊ C2×#396 |
908 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | #12021155, C4×#65237, #12024940, … |
| maximal normal subgroup of | #12021155, C4×#65237, #12024940, … |
| maximal quotient of | C2×#10602340, C2×#10602339, C2×#10600202, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 15915);