Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×M16×C163 ⋊ C2 |
| Sylow | C163 ⋊ #469 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^162,c^b=cf1636 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212520, #35212522, #35212526, … |
| maximal normal subgroup of | #35212520, #35212522, #35212526, … |
| maximal quotient of | #35214015, #35214020, #35214049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 802);