Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C163 ⋊ C2 |
| Sylow | C163 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=e,d^2=f,g^a=g^162,c^b=cf,g^c=g^1621660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216139, #35216350, #405×D163, … |
| maximal normal subgroup of | #35216139, #35216350, #405×D163, … |
| maximal quotient of | #35212815, #35212821, #35212822, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 506);