Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C163 ⋊ C2 |
| Sylow | C163 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=e,d^2=f,c^a=cf,g^b=g^162,g^c=g^1621660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213121, #35213123, #35213126, … |
| maximal normal subgroup of | #35213121, #35213123, #35213126, … |
| maximal quotient of | #35212815, #35212824, #35212832, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 501);