Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C163 ⋊ #544 |
206 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,b^2=e,c^2=f,b^a=be,c^a=cf,d^a=de,g^a=g^162,c^b=ce1642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213475, #35213478, #35213509, … |
| maximal normal subgroup of | #35213475, #35213478, #35213509, … |
| maximal quotient of | #35217154, #35217160, #35217269, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1180);