Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C163 ⋊ #475 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^162,e^c=ef,g^c=g^1621639 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213723, #35213724, #35213737, … |
| maximal normal subgroup of | #35213723, #35213724, #35213737, … |
| maximal quotient of | #35214542, #35214807, #35215115, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 835);