Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #117×C163 ⋊ C2 |
| Sylow | C163 ⋊ #518 |
338 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,b^a=be,d^a=de,c^b=ce,g^b=g^162,g^c=g^1621654 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214646, #35214744, #35214747, … |
| maximal normal subgroup of | #35214646, #35214744, #35214747, … |
| maximal quotient of | #35216888, #35216892, #35216896, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1023);