Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C163 ⋊ #355 |
64 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,c^2=f,d^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^162,c^b=cf,d^b=def,d^c=df1147 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212684, #35212685, #35212692, … |
| maximal normal subgroup of | #35212684, #35212685, #35212692, … |
| maximal quotient of | #35212468, #35212480, #35212539, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 346);