Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C163 ⋊ SD64 |
32 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,c^2=de,d^2=ef,e^2=f,b^a=bc,c^a=cd,d^a=de,e^a=ef,g^a=g^162,c^b=cd,d^b=de,e^b=ef910 conjugacy classes — view the full character table.
| maximal subgroup of | SD64×D163, C2×#23781503, #35216842, … |
| maximal normal subgroup of | SD64×D163, C2×#23781503, #35216842, … |
| maximal quotient of | #35212714, #35212716, #35212737, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 387);