Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C163 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^162,d^b=df1642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212471, #35212472, #35212473, … |
| maximal normal subgroup of | #35212471, #35212472, #35212473, … |
| maximal quotient of | #35212460, #35212476, #35212494, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 331);