Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C163 ⋊ #519 |
266 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,b^2=e,c^2=e,b^a=be,d^a=de,g^a=g^162,c^b=ce1654 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214648, #35214750, #35214753, … |
| maximal normal subgroup of | #35214648, #35214750, #35214753, … |
| maximal quotient of | #35216893, #35216901, #35217122, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1027);