Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C163⋊#338 |
| Sylow | C163 ⋊ #338 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,e^a=ef,d^b=df,g^b=g^1621642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212527, #35212528, #35212530, … |
| maximal normal subgroup of | #35212527, #35212528, #35212530, … |
| maximal quotient of | #35212366, #35212367, #35212407, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 307);