Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | H(5,𝔽2)×C163 ⋊ C2 |
| Sylow | C163 ⋊ B(4,𝔽2) |
198 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|b^a=bd,c^a=ce,g^a=g^162,e^b=ef,d^c=df1393 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216518, #35216519, #35216523, … |
| maximal normal subgroup of | #35216518, #35216519, #35216523, … |
| maximal quotient of | #35213454, #35213459, #35213465, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 736);