Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | D5×#482 |
| Fitting | C5×#482 ⋊ C2 |
| Sylow | C5 ⋊ C2×#482 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D5×#482, D5×#3091, D5×#3093, … |
| maximal normal subgroup of | C2×D5×#482, D5×#3091, D5×#3093, … |
| maximal quotient of | D5×#1825, D5×#1854, D5×#1875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 15183);