Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#3947 |
| Sylow | C5 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #11986157, C8×#3947, #11988652, … |
| maximal normal subgroup of | #11986157, C8×#3947, #11988652, … |
| maximal quotient of | C4×#64675, C4×#64674, C8×#3947, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 2623);