Finite Group Databasebeta

← Group #486553

Character table — Group #486553

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444442222244448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-11-1-11-1-11111-1-1-1-111-11111-1-1111111-1-1-1-1-1-1
χ611111111111111-1-1-1-11-1-11-1-11111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-111
χ9111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-111-1-11111-11-11-11-111-1-111-1-11-1
χ10111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-111-1-11111-1-111-1-11-1-111-1-111-11
χ11111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-111-1-1111-1
χ12111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-111111-11-11-11-1111-1-111-1-1-11
χ13111111-1-1-11-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-11-11-1-111-111-1-1-1-111-11
χ14111111-1-1-11-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-11-1-11-11-11-1-11111-1-11-1
χ15111111-1-1-11-1-1-1-1-1-1-1-1111-111-1-11111-1-111-1-111-11-11-1-1-11111-1-1-11
χ16111111-1-1-11-1-1-1-1-1-1-1-1111-111-1-11111-1-111-1-11-111-1-1111-1-1-1-1111-1
χ172222222222-2-2-2-222222-2-222200000000-2-2-2000000000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-200000000-2-22000000000000000000
χ19222222222-222-2-20000-200-200000022222-200000-2-2000000000000
χ20222222222-222-2-20000-200-2000000-2-2-2-22-20000022000000000000
χ21222222222-2-2-2220000-200-20022220000-220-2-20000000000000000
χ22222222222-2-2-2220000-200-200-2-2-2-20000-220220000000000000000
χ23222222-2-2-2222222222222-2-2-200000000-2-2-2000000000000000000
χ24222222-2-2-222222-2-2-2-22-2-2-22200000000-2-22000000000000000000
χ25222222-2-2-2-222-2-20000-20020022-2-20000-220-220000000000000000
χ26222222-2-2-2-222-2-20000-200200-2-2220000-2202-20000000000000000
χ27222222-2-2-2-2-2-2220000-200200000022-2-22-200000-22000000000000
χ28222222-2-2-2-2-2-2220000-2002000000-2-2222-2000002-2000000000000
χ292-22-22-200022-22-22i2i−2i−2i-22i−2i00000000000000000000002−22−2i2−i2i2−i200
χ302-22-22-200022-22-22i2i−2i−2i-22i−2i0000000000000000000000−22−22−i2i2−i2i200
χ312-22-22-200022-22-2−2i−2i2i2i-2−2i2i00000000000000000000002−22−2−i2i2−i2i200
χ322-22-22-200022-22-2−2i−2i2i2i-2−2i2i0000000000000000000000−22−22i2−i2i2−i200
χ332-22-22-20002-22-222i2i−2i−2i-2−2i2i00000000000000000000002−2−22i2−i2−i2i200
χ342-22-22-20002-22-222i2i−2i−2i-2−2i2i0000000000000000000000−222−2−i2i2i2−i200
χ352-22-22-20002-22-22−2i−2i2i2i-22i−2i00000000000000000000002−2−22−i2i2i2−i200
χ362-22-22-20002-22-22−2i−2i2i2i-22i−2i0000000000000000000000−222−2i2−i2−i2i200
χ374444-4-444-400000000000000000000000000002200-2-20000000000
χ384444-4-444-40000000000000000000000000000-2-200220000000000
χ394444-4-4-4-4400000000000000000000000000002-200-220000000000
χ404444-4-4-4-440000000000000000000000000000-22002-20000000000
χ4144-4-4004-40000002i−2i2i−2i00002i−2i2i−2i2i−2i2-22-2000000000000000000000
χ4244-4-4004-40000002i−2i2i−2i00002i−2i−2i2i−2i2i-22-22000000000000000000000
χ4344-4-4004-4000000−2i2i−2i2i0000−2i2i2i−2i2i−2i-22-22000000000000000000000
χ4444-4-4004-4000000−2i2i−2i2i0000−2i2i−2i2i−2i2i2-22-2000000000000000000000
χ4544-4-400-440000002i−2i2i−2i0000−2i2i2i−2i−2i2i2-2-22000000000000000000000
χ4644-4-400-440000002i−2i2i−2i0000−2i2i−2i2i2i−2i-222-2000000000000000000000
χ4744-4-400-44000000−2i2i−2i2i00002i−2i2i−2i−2i2i-222-2000000000000000000000
χ4844-4-400-44000000−2i2i−2i2i00002i−2i−2i2i2i−2i2-2-22000000000000000000000
χ494-44-44-4000-44-4-44000040000000000000000000000000000000000
χ504-44-44-4000-4-444-4000040000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000004-4-4400000000000000000000000000000000000
χ538-8-880000000000-444-400000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).