Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C163 ⋊ #334 |
54 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=c,c^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^1622620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212503, #35212504, #35212506, … |
| maximal normal subgroup of | #35212503, #35212504, #35212506, … |
| maximal quotient of | #35212371, #35212600, #35212602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 300);