Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | SD32×C163 ⋊ C2 |
| Sylow | C163 ⋊ #508 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|c^2=f,d^2=ef,e^2=f,b^a=bd,d^a=de,e^a=ef,d^b=de,e^b=ef,g^b=g^162,g^c=g^162913 conjugacy classes — view the full character table.
| maximal subgroup of | #508×D163, C2×#23782096, #35227668, … |
| maximal normal subgroup of | #508×D163, C2×#23782096, #35227668, … |
| maximal quotient of | #35216240, #35216242, #35216319, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 980);