Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#64719 |
| Sylow | C5 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #11986988, #11986989, #11986990, … |
| maximal normal subgroup of | #11986988, #11986989, #11986990, … |
| maximal quotient of | C2×#10597999, C4×#64719, C2×C22⋊#3926, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 4271);