Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C163 ⋊ #424 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=e,b^2=d,e^2=f,b^a=bd,g^a=g^162,c^b=cf1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214812, #35214813, #35214823, … |
| maximal normal subgroup of | #35214812, #35214813, #35214823, … |
| maximal quotient of | #35213307, #35213311, #35213316, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 576);