Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C2×D8×C163 ⋊ C2 |
| Sylow | C163 ⋊ #493 |
162 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^c=g^1621156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216569, #35216570, #35216574, … |
| maximal normal subgroup of | #35216569, #35216570, #35216574, … |
| maximal quotient of | #35214125, #35214127, #35214129, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 924);