Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | H(5,𝔽2)×C163 ⋊ C2 |
| Sylow | C163 ⋊ #453 |
168 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^162,d^b=df,e^b=ef,d^c=df1393 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216518, #35216530, #35216540, … |
| maximal normal subgroup of | #35216518, #35216530, #35216540, … |
| maximal quotient of | #35213454, #35213459, #35213482, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 717);