Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of #64739 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#64742 |
| Sylow | C5 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
82 conjugacy classes — view the full character table.
| maximal subgroup of | #12019883, C4×#64742, #12019895, … |
| maximal normal subgroup of | #12019883, C4×#64742, #12019895, … |
| maximal quotient of | C2×#10598069, C2×#10598317, C2×#10598066, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 4369);