Finite Group Databasebeta

← Group #486281

Character table — Group #486281

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444442222224448888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1111111-1-1-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-111-1-1-1-11111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11111-1-1-1-111
χ9111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-111-1-1111-11-11-111-111-1-111-1-11-1
χ10111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-111-1-1111-11-1-111-11-1-111-1-111-11
χ11111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-11111-11-111-111-1-1-111-1-1111-1
χ12111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-11111-11-11-111-1111-1-111-1-1-11
χ13111111-1-1-11-1-1-1-1-1-1-1-11-1111111-1-1-1-111111-1-111-1-11-111-1-1-1-111-11
χ14111111-1-1-11-1-1-1-1-1-1-1-11-1111111-1-1-1-111111-1-11-11-1-11-1-11111-1-11-1
χ15111111-1-1-11-1-1-1-1-1-1-1-11-11111-1-11111-1-111-111-11-1-11-1-1-11111-1-1-11
χ16111111-1-1-11-1-1-1-1-1-1-1-11-11111-1-11111-1-111-111-1-11-1-1111-1-1-1-1111-1
χ172222222222-2-2-2-2222222-2-22200000000-2-2000000-2000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-200000000-2-20000002000000000000
χ19222222222-222-2-20000-2-20000000022222-200-2-2000000000000000
χ20222222222-222-2-20000-2-200000000-2-2-2-22-20022000000000000000
χ21222222222-2-2-2220000-2-2000022220000-22-2-200000000000000000
χ22222222222-2-2-2220000-2-20000-2-2-2-20000-222200000000000000000
χ23222222-2-2-22222222222-222-2-200000000-2-2000000-2000000000000
χ24222222-2-2-222222-2-2-2-22-2-2-22200000000-2-20000002000000000000
χ25222222-2-2-2-222-2-20000-22000022-2-20000-22-2200000000000000000
χ26222222-2-2-2-222-2-20000-220000-2-2220000-222-200000000000000000
χ27222222-2-2-2-2-2-2220000-220000000022-2-22-200-22000000000000000
χ28222222-2-2-2-2-2-2220000-2200000000-2-2222-2002-2000000000000000
χ292-2-22-22000-22-22-222-2-2202-20000000000000000000002−22−22−22−200
χ302-2-22-22000-22-22-222-2-2202-2000000000000000000000−22−22−22−2200
χ312-2-22-22000-22-22-2-2-22220-220000000000000000000002−22−2−22−2200
χ322-2-22-22000-22-22-2-2-22220-22000000000000000000000−22−222−22−200
χ332-2-22-22000-2-22-2222-2-220-220000000000000000000002−2−222−2−2200
χ342-2-22-22000-2-22-2222-2-220-22000000000000000000000−222−2−222−200
χ352-2-22-22000-2-22-22-2-222202-20000000000000000000002−2−22−222−200
χ362-2-22-22000-2-22-22-2-222202-2000000000000000000000−222−22−2−2200
χ374444-4-444-400000000000000000000000000000220-2-20000000000
χ384444-4-444-400000000000000000000000000000-2-20220000000000
χ394444-4-4-4-44000000000000000000000000000002-20-220000000000
χ404444-4-4-4-4400000000000000000000000000000-2202-20000000000
χ4144-4-4004-40000002-22-200002-22i−2i2i−2i2i−2i2i−2i000000000000000000000
χ4244-4-4004-40000002-22-200002-2−2i2i−2i2i−2i2i−2i2i000000000000000000000
χ4344-4-4004-4000000-22-220000-222i−2i2i−2i−2i2i−2i2i000000000000000000000
χ4444-4-4004-4000000-22-220000-22−2i2i−2i2i2i−2i2i−2i000000000000000000000
χ4544-4-400-440000002-22-20000-222i−2i−2i2i2i−2i−2i2i000000000000000000000
χ4644-4-400-440000002-22-20000-22−2i2i2i−2i−2i2i2i−2i000000000000000000000
χ4744-4-400-44000000-22-2200002-22i−2i−2i2i−2i2i2i−2i000000000000000000000
χ4844-4-400-44000000-22-2200002-2−2i2i2i−2i2i−2i−2i2i000000000000000000000
χ494-4-44-4400044-4-440000-40000000000000000000000000000000000
χ504-4-44-440004-444-40000-40000000000000000000000000000000000
χ518-88-800000000004-4-4400000000000000000000000000000000000
χ528-88-80000000000-444-400000000000000000000000000000000000
χ538-8-888-800000000000000000000000000000000000000000000000

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