Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C163 ⋊ #423 |
126 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^b=g^1621648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212486, #35214526, #35214527, … |
| maximal normal subgroup of | #35212486, #35214526, #35214527, … |
| maximal quotient of | #35213291, #35213294, #35213297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 572);