Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D5×#479 |
| Fitting | C5×#479 ⋊ C2 |
| Sylow | C5 ⋊ C2×#479 |
384 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D5×#479, D5×#3076, D5×#3078, … |
| maximal normal subgroup of | C2×D5×#479, D5×#3076, D5×#3078, … |
| maximal quotient of | D5×#1805, D5×#1863, D5×#1865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 15041);