Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊Q8×C163 ⋊ C2 |
| Sylow | C163 ⋊ #497 |
124 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,c^b=cf,g^b=g^1621150 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213841, #35213846, #35213851, … |
| maximal normal subgroup of | #35213841, #35213846, #35213851, … |
| maximal quotient of | #35214161, #35214168, #35214180, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 941);