Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D4×C4⋊Dic5 |
| Sylow | C5 ⋊ D4×C4⋊C4 |
776 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
130 conjugacy classes — view the full character table.
| maximal subgroup of | #11993458, #11993462, #11993486, … |
| maximal normal subgroup of | #11993458, #11993462, #11993486, … |
| maximal quotient of | C22⋊C4×C4⋊Dic5, C4⋊C4×C4⋊Dic5, D4×#3963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 16144);