Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C163 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,d^2=e,e^2=f,g^a=g^162,c^b=cf1660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216370, #35216373, #35216375, … |
| maximal normal subgroup of | #35216370, #35216373, #35216375, … |
| maximal quotient of | #35216133, #35216150, #35216295, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 966);