Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M32×C163 ⋊ C2 |
| Sylow | C163 ⋊ #350 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^162,c^b=cf,d^b=df,g^b=g^1621648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #350×D163, C2×#23781450, #35216162, … |
| maximal normal subgroup of | #350×D163, C2×#23781450, #35216162, … |
| maximal quotient of | #35212461, #35212477, #35212490, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 334);