Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C163 ⋊ #380 |
234 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,b^2=d,b^a=bd,c^a=ce,g^a=g^1622620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212403, #35212404, #35212415, … |
| maximal normal subgroup of | #35212403, #35212404, #35212415, … |
| maximal quotient of | #35212759, #35212763, #35212766, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 409);