Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of #677 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#3951 |
| Sylow | C5 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #11986217, #11986218, #11986220, … |
| maximal normal subgroup of | #11986217, #11986218, #11986220, … |
| maximal quotient of | C4×#64677, C4×#64678, #11990489, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 2665);