Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #131×C163 ⋊ C2 |
| Sylow | C163 ⋊ #576 |
268 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|e^2=f,b^a=be,e^a=ef,g^a=g^162,e^b=ef,g^b=g^162,d^c=df1642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216491, #35216495, #35216505, … |
| maximal normal subgroup of | #35216491, #35216495, #35216505, … |
| maximal quotient of | #35223063, #35223136, #35223370, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1354);