Finite Group Databasebeta

← Group #291691

Character table — Group #291691

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444442244444444444444444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ5111111111111111111111111-1-1111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ91111111111111111-1-1-1-1-1-11111-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1111-1
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-1-11
χ131111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-11
χ141111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11111-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1111-1
χ1722222222222-2-2-2-222222-2-2-2-200-222002200000000000000000000-2-20000000000
χ1822222222222-2-2-2-222222-2-2-2-200-2-2-200-2-200000000000000000000220000000000
χ1922222222222-2-2-2-22-2-2-2-222-2-20022200-2-200000000000000000000-220000000000
χ2022222222222-2-2-2-22-2-2-2-222-2-2002-2-20022000000000000000000002-20000000000
χ2122222222-2-2-22222-222-2-2-2-2-2-22220022000000000000000000000000-2-200000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2-2-2200-2-20000000000000000000000002200000000
χ2322222222-2-2-22222-2-2-22222-2-222-200-2-20000000000000000000000002-200000000
χ2422222222-2-2-22222-2-2-22222-2-2-2-2-20022000000000000000000000000-2200000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200-200000022-2-2000000000000000000002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200-2000000-2-22200000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22200200000022-2-200000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222002000000-2-222000000000000000000002-2000000
χ29222-2-22-2-22-2-2000022-22-200000002i−2i002i−2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ30222-2-22-2-22-2-2000022-22-200000002i−2i002i−2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ31222-2-22-2-22-2-2000022-22-20000000−2i2i00−2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ32222-2-22-2-22-2-2000022-22-20000000−2i2i00−2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ33222-2-22-2-22-2-200002-22-2200000002i−2i00−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ34222-2-22-2-22-2-200002-22-2200000002i−2i00−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ35222-2-22-2-22-2-200002-22-220000000−2i2i002i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ36222-2-22-2-22-2-200002-22-220000000−2i2i002i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ3722-2-22-22-222-2-2-222-20000002-20000000002i−2i2i−2i00002-22-200000000000000002i−2i00
χ3822-2-22-22-222-2-2-222-20000002-20000000002i−2i2i−2i0000-22-220000000000000000−2i2i00
χ3922-2-22-22-222-2-2-222-20000002-2000000000−2i2i−2i2i00002-22-20000000000000000−2i2i00
χ4022-2-22-22-222-2-2-222-20000002-2000000000−2i2i−2i2i0000-22-2200000000000000002i−2i00
χ4122-2-22-22-2-2-2222-2-220000002-20000000002i−2i−2i2i2i−2i2i−2i0000000000000000002-20000
χ4222-2-22-22-2-2-2222-2-220000002-20000000002i−2i−2i2i−2i2i−2i2i000000000000000000-220000
χ4322-2-22-22-2-2-2222-2-220000002-2000000000−2i2i2i−2i2i−2i2i−2i000000000000000000-220000
χ4422-2-22-22-2-2-2222-2-220000002-2000000000−2i2i2i−2i−2i2i−2i2i0000000000000000002-20000
χ45444-4-44-4-4-4440000-44-4-44000000000000000000000000000000000000000000000
χ46444-4-44-4-4-4440000-4-444-4000000000000000000000000000000000000000000000
χ4744-44-4-4-444-440000-4000000000000000000000000022−22−222200000000000000000000
χ4844-44-4-4-444-440000-40000000000000000000000000−222222−2200000000000000000000
χ4944-44-4-4-44-44-4000040000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-44-4-4-44-44-400004000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5144-4-44-44-444-444-4-4-4000000-4400000000000000000000000000000000000000000
χ5244-4-44-44-4-4-44-4-4444000000-4400000000000000000000000000000000000000000
χ534-44-44-4-440004-44-4000000000000004i−4i0000000000000000000000000000000000
χ544-44-44-4-440004-44-400000000000000−4i4i0000000000000000000000000000000000
χ554-44-44-4-44000-44-440000000004i−4i000000000000000000000000000000000000000
χ564-44-44-4-44000-44-44000000000−4i4i000000000000000000000000000000000000000
χ574-4-4444-4-40004-4-4400000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ584-4-4444-4-40004-4-440000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ594-4-4444-4-4000-444-40000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ604-4-4444-4-4000-444-4000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ614-4-4-4-44440000000000004-4000000000000000000000002-2-222-2-22000000000000
χ624-4-4-4-44440000000000004-400000000000000000000000-222-2-222-2000000000000
χ634-4-4-4-4444000000000000-44000000000000000000000002-2-22-222-2000000000000
χ644-4-4-4-4444000000000000-4400000000000000000000000-222-22-2-22000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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