Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of #64849 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#64851 |
| Sylow | C5 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | #13014389, #13014390, #13014408, … |
| maximal normal subgroup of | #13014389, #13014390, #13014408, … |
| maximal quotient of | C2×#10598644, C2×#10598647, #13025070, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 6190);