Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#65522 |
| Sylow | C5 ⋊ C2×#416 |
792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
136 conjugacy classes — view the full character table.
| maximal subgroup of | #12004801, #12004803, #12004822, … |
| maximal normal subgroup of | #12004801, #12004803, #12004822, … |
| maximal quotient of | C2×#10602431, C2×#10602433, #12065712, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 17883);