Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C163 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=e,d^2=f,g^a=g^162,c^b=cf,g^b=g^1621660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214290, #35214292, #35214335, … |
| maximal normal subgroup of | #35214290, #35214292, #35214335, … |
| maximal quotient of | M16×C163⋊C8, #35212820, #35212823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 507);