Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M32×C163 ⋊ C2 |
| Sylow | C163 ⋊ #360 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^162,c^b=cef,d^b=df,e^b=ef,g^b=g^1621636 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D163, C2×#23781476, #35216270, … |
| maximal normal subgroup of | #360×D163, C2×#23781476, #35216270, … |
| maximal quotient of | #35212504, #35212507, #35212546, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 360);