Finite Group Databasebeta

← Group #400792

Character table — Group #400792

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111122222222222222444444444444888888888888888888888816161616161616161616161616161616
order12222222224444444444444444888822224444444444448888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ811111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000000000000000002-22-200000000
χ182222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000-22-2200000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000002-2-2200000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000-222-200000000
χ2122222-2-22-2-22-2-2-2222-20000000022-2-20022002200-2-2-2-2002-200000000000000000000
χ2222222-2-22-2-22-2-2-2222-20000000022-2-200-2-200-2-2002222002-200000000000000000000
χ2322222-2-22-2-22-2-2-2222-200000000-2-222002200-2-200-2-22200-2200000000000000000000
χ2422222-2-22-2-22-2-2-2222-200000000-2-22200-2-200220022-2-200-2200000000000000000000
χ252222-22-2-22-2-22-2-222-220000000022-2-22200-2-200220000-2-2-2200000000000000000000
χ262222-22-2-22-2-22-2-222-220000000022-2-2-2-2002200-2-2000022-2200000000000000000000
χ272222-22-2-22-2-22-2-222-2200000000-2-2222200-2-200-2-20000222-200000000000000000000
χ282222-22-2-22-2-22-2-222-2200000000-2-222-2-2002200220000-2-22-200000000000000000000
χ292222-2-22-2-2222-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000002-22-2
χ302222-2-22-2-2222-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000-22-22
χ312222-2-22-2-2222-2-2-2-222-2-2-2-22222000000000000000000000000000000000000002-2-22
χ322222-2-22-2-2222-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000-222-2
χ332222-2-22-2-22-2-22222-2-222-2-2-2-22222220000000000000000-2-222-2-20000000000000000
χ342222-2-22-2-22-2-22222-2-222-2-2-2-222-2-2-2-2000000000000000022-2-2220000000000000000
χ352222-2-22-2-22-2-22222-2-2-2-22222-2-222220000000000000000-2-2-2-2220000000000000000
χ362222-2-22-2-22-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-20000000000000000
χ3722-2-2222-2-2-2222-22-2-2-20000000000002-22-22-200002-20000002-22-20000000000000000
χ3822-2-2222-2-2-2222-22-2-2-20000000000002-2-222-20000-22000000-22-220000000000000000
χ3922-2-2222-2-2-2222-22-2-2-2000000000000-222-2-2200002-2000000-22-220000000000000000
χ4022-2-2222-2-2-2222-22-2-2-2000000000000-22-22-220000-220000002-22-20000000000000000
χ4122-2-22-2-2-2222-2-222-2-222i−2i2i−2i2i−2i2i−2i0000002-200002i−2i-22002i−2i0000000000000000000000
χ4222-2-22-2-2-2222-2-222-2-222i−2i2i−2i2i−2i2i−2i000000-220000−2i2i2-200−2i2i0000000000000000000000
χ4322-2-22-2-2-2222-2-222-2-22−2i2i−2i2i−2i2i−2i2i0000002-20000−2i2i-2200−2i2i0000000000000000000000
χ4422-2-22-2-2-2222-2-222-2-22−2i2i−2i2i−2i2i−2i2i000000-2200002i−2i2-2002i−2i0000000000000000000000
χ4522-2-22-2-2-222-222-2-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000002i−2i0000002-20000
χ4622-2-22-2-2-222-222-2-222-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000−2i2i000000-220000
χ4722-2-22-2-2-222-222-2-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000002i−2i000000-220000
χ4822-2-22-2-2-222-222-2-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000−2i2i0000002-20000
χ4922-2-2-22-22-222-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000002i−2i0000002-2000000
χ5022-2-2-22-22-222-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000−2i2i000000-22000000
χ5122-2-2-22-22-222-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000002i−2i000000-22000000
χ5222-2-2-22-22-222-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000−2i2i0000002-2000000
χ5322-2-2-22-22-22-22-222-22-22i−2i−2i2i−2i2i2i−2i00002-200-222i−2i00002i−2i000000000000000000000000
χ5422-2-2-22-22-22-22-222-22-22i−2i−2i2i−2i2i2i−2i0000-22002-2−2i2i0000−2i2i000000000000000000000000
χ5522-2-2-22-22-22-22-222-22-2−2i2i2i−2i2i−2i−2i2i00002-200-22−2i2i0000−2i2i000000000000000000000000
χ5622-2-2-22-22-22-22-222-22-2−2i2i2i−2i2i−2i−2i2i0000-22002-22i−2i00002i−2i000000000000000000000000
χ5722-2-2-2-2222-2-2-22-22-2220000000000000000002i−2i2i−2i00−2i2i−2i2i002-2-220000000000000000
χ5822-2-2-2-2222-2-2-22-22-2220000000000000000002i−2i−2i2i00−2i2i2i−2i00-222-20000000000000000
χ5922-2-2-2-2222-2-2-22-22-222000000000000000000−2i2i2i−2i002i−2i−2i2i00-222-20000000000000000
χ6022-2-2-2-2222-2-2-22-22-222000000000000000000−2i2i−2i2i002i−2i2i−2i002-2-220000000000000000
χ6144444-4-44-4-4-4444-4-4-4400000000000000000000000000000000000000000000000000
χ624444-44-4-44-44-444-4-44-400000000000000000000000000000000000000000000000000
χ6344-4-4444-4-4-4-4-4-44-444400000000000000000000000000000000000000000000000000
χ6444-4-4-4-4444-444-44-44-4-400000000000000000000000000000000000000000000000000
χ658-88-8000000000000000000000042−420000000000000000000000000000000000000000
χ668-88-80000000000000000000000−42420000000000000000000000000000000000000000
χ678-8-8800000000000000000000000042−4200000000000000000000000000000000000000
χ688-8-88000000000000000000000000−424200000000000000000000000000000000000000

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