Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | Dic5×#103 |
| Sylow | C5 ⋊ C4×#103 |
332 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D5×#103, C2×Dic5×#103, C4×#65093, … |
| maximal normal subgroup of | C4×D5×#103, C2×Dic5×#103, C4×#65093, … |
| maximal quotient of | Dic5×Q8⋊C8, #11989929, #11989934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 3094);