Finite Group Databasebeta

← Group #395821

Character table — Group #395821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111222222222222224444444488888888888888888888888888881616161616161616161616161616
order12442222222444444422224444222244444444888888888888888844444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ31111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ11111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ12111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111
χ17222222-22-2-2-222-2-2-22-222-2-222-2-200000000000000000000000000002i−2i0000002i−2i0000
χ18222222-22-2-2-222-2-2-22-222-2-222-2-20000000000000000000000000000−2i2i000000−2i2i0000
χ19222222-22-2-2-222-2-2-22-2-2-222-2-22200000000000000000000000000002i−2i000000−2i2i0000
χ20222222-22-2-2-222-2-2-22-2-2-222-2-2220000000000000000000000000000−2i2i0000002i−2i0000
χ2122222-2-2-222-22-222-2-2-2000000002-2002-20000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ2222222-2-2-222-22-222-2-2-2000000002-2002-2000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2322222-2-2-222-22-222-2-2-200000000-2200-220000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2422222-2-2-222-22-222-2-2-200000000-2200-22000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ252222-22-2-22-22-2-22-2-22200000000002-2002-200002-22-20000000022-2-200000000000000
χ262222-22-2-22-22-2-22-2-22200000000002-2002-20000-22-2200000000-2-22200000000000000
χ272222-22-2-22-22-2-22-2-2220000000000-2200-2200002-22-200000000-2-22200000000000000
χ282222-22-2-22-22-2-22-2-2220000000000-2200-220000-22-220000000022-2-200000000000000
χ292222-2-2222-2-2-222-22-2-22-22-22-22-20000000000002i−2i−2i2i2i2i−2i−2i0000000000000000000000
χ302222-2-2222-2-2-222-22-2-22-22-22-22-2000000000000−2i2i2i−2i−2i−2i2i2i0000000000000000000000
χ312222-2-2222-2-2-222-22-2-2-22-22-22-220000000000002i−2i−2i2i−2i−2i2i2i0000000000000000000000
χ322222-2-2222-2-2-222-22-2-2-22-22-22-22000000000000−2i2i2i−2i2i2i−2i−2i0000000000000000000000
χ332222-2-2-22-222-22-22-2-222-2-222-2-22000000000000000000000000000000002-200002-200
χ342222-2-2-22-222-22-22-2-222-2-222-2-2200000000000000000000000000000000-220000-2200
χ352222-2-2-22-222-22-22-2-22-222-2-222-2000000000000000000000000000000002-20000-2200
χ362222-2-2-22-222-22-22-2-22-222-2-222-200000000000000000000000000000000-2200002-200
χ3722-2-22222222-2-2-2-2-2-2-2000000002-200-2200000000002i−2i2i−2i00002i−2i2i−2i00000000000000
χ3822-2-22222222-2-2-2-2-2-2-2000000002-200-220000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000
χ3922-2-22222222-2-2-2-2-2-2-200000000-22002-200000000002i−2i2i−2i0000−2i2i−2i2i00000000000000
χ4022-2-22222222-2-2-2-2-2-2-200000000-22002-20000000000−2i2i−2i2i00002i−2i2i−2i00000000000000
χ4122-2-22-22-2-2-22-2222-22-22-2-22-222-2000000002i2i−2i−2i00000000000000000000000000002i−2i
χ4222-2-22-22-2-2-22-2222-22-22-2-22-222-200000000−2i−2i2i2i0000000000000000000000000000−2i2i
χ4322-2-22-22-2-2-22-2222-22-2-222-22-2-22000000002i2i−2i−2i0000000000000000000000000000−2i2i
χ4422-2-22-22-2-2-22-2222-22-2-222-22-2-2200000000−2i−2i2i2i00000000000000000000000000002i−2i
χ4522-2-22-2-2-222-2-22-2-22222-22-2-22-22222-2-2-2-220000000000000000000000000000000000
χ4622-2-22-2-2-222-2-22-2-22222-22-2-22-22-2-2-22222-20000000000000000000000000000000000
χ4722-2-22-2-2-222-2-22-2-2222-22-222-22-222-22-2-22-20000000000000000000000000000000000
χ4822-2-22-2-2-222-2-22-2-2222-22-222-22-2-2-22-222-220000000000000000000000000000000000
χ4922-2-2-222-2-22-2222-2-2-2222-2-2-2-2220000000000000000000000000000002i−2i002i−2i000000
χ5022-2-2-222-2-22-2222-2-2-2222-2-2-2-222000000000000000000000000000000−2i2i00−2i2i000000
χ5122-2-2-222-2-22-2222-2-2-22-2-22222-2-20000000000000000000000000000002i−2i00−2i2i000000
χ5222-2-2-222-2-22-2222-2-2-22-2-22222-2-2000000000000000000000000000000−2i2i002i−2i000000
χ5322-2-2-22-2-22-2222-222-2-22222-2-2-2-2000000000000000000002i−2i2i−2i2i−2i−2i2i00000000000000
χ5422-2-2-22-2-22-2222-222-2-22222-2-2-2-200000000000000000000−2i2i−2i2i−2i2i2i−2i00000000000000
χ5522-2-2-22-2-22-2222-222-2-2-2-2-2-22222000000000000000000002i−2i2i−2i−2i2i2i−2i00000000000000
χ5622-2-2-22-2-22-2222-222-2-2-2-2-2-2222200000000000000000000−2i2i−2i2i2i−2i−2i2i00000000000000
χ5722-2-2-2-2222-2-22-2-22-22200000000002200-2-2000000002-2-222-2-22000000000000000000
χ5822-2-2-2-2222-2-22-2-22-22200000000002200-2-200000000-222-2-222-2000000000000000000
χ5922-2-2-2-2222-2-22-2-22-2220000000000-2-20022000000002-2-22-222-2000000000000000000
χ6022-2-2-2-2222-2-22-2-22-2220000000000-2-2002200000000-222-22-2-22000000000000000000
χ6144444-44-4-4-444-4-4-44-4400000000000000000000000000000000000000000000000000
χ624444-444-4-44-4-4-4-4444-400000000000000000000000000000000000000000000000000
χ6344-4-444-44-4-4-4-4-4444-4400000000000000000000000000000000000000000000000000
χ6444-4-4-4-4-44-4444-44-444-400000000000000000000000000000000000000000000000000
χ658-88i−8i0000000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000
χ668-88i−8i000000000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000000000
χ678-8−8i8i0000000000000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000
χ688-8−8i8i000000000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000000000

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