Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C163 ⋊ #391 |
186 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,b^2=def,c^2=e,b^a=bd,c^a=ce,g^a=g^162,g^b=g^1621648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212662, #35214495, #35214497, … |
| maximal normal subgroup of | #35212662, #35214495, #35214497, … |
| maximal quotient of | #35212765, #35212768, #35212789, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 456);