Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C163 ⋊ #460 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^1621153 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213593, #35213594, #35213598, … |
| maximal normal subgroup of | #35213593, #35213594, #35213598, … |
| maximal quotient of | #35213881, #35213893, #35213903, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 746);