Finite Group Databasebeta

← Group #277136

Character table — Group #277136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ172222222222-2-222222-22-222-2-2-2-2-200000000000022220000-2-2-2-200000000000000
χ182222222222-2-222222-22-222-2-2-2-2-2000000000000-2-2-2-20000222200000000000000
χ192222222222-2-2-2-2-2-22-22-2-2-222-2-2200000000000022-2-20000-2-22200000000000000
χ202222222222-2-2-2-2-2-22-22-2-2-222-2-22000000000000-2-222000022-2-200000000000000
χ2122222222-2-2222222-22-22-2-222-2-2-222-2-222-2-2000000000000000000000000000000
χ2222222222-2-2222222-22-22-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ2322222222-2-222-2-2-2-2-22-2222-2-2-2-2222-2-2-2-222000000000000000000000000000000
χ2422222222-2-222-2-2-2-2-22-2222-2-2-2-22-2-22222-2-2000000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-222200000000000000000000000000002i−2i2i−2i000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-22220000000000000000000000000000−2i2i−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000−2i2i2i−2i000000
χ29222-2-2-22-22-20022-2-2-20202-20000000000000i2i2−i2−i22i−2i2i−2ii2i2−i2−i20000000000002−22−200
χ30222-2-2-22-22-20022-2-2-20202-20000000000000i2i2−i2−i2−2i2i−2i2ii2i2−i2−i2000000000000−22−2200
χ31222-2-2-22-22-20022-2-2-20202-20000000000000−i2−i2i2i22i−2i2i−2i−i2−i2i2i2000000000000−22−2200
χ32222-2-2-22-22-20022-2-2-20202-20000000000000−i2−i2i2i2−2i2i−2i2i−i2−i2i2i20000000000002−22−200
χ33222-2-2-22-22-200-2-222-2020-220000000000000i2i2−i2−i22i−2i−2i2i−i2−i2i2i20000000000002−2−2200
χ34222-2-2-22-22-200-2-222-2020-220000000000000i2i2−i2−i2−2i2i2i−2i−i2−i2i2i2000000000000−222−200
χ35222-2-2-22-22-200-2-222-2020-220000000000000−i2−i2i2i22i−2i−2i2ii2i2−i2−i2000000000000−222−200
χ36222-2-2-22-22-200-2-222-2020-220000000000000−i2−i2i2i2−2i2i2i−2ii2i2−i2−i20000000000002−2−2200
χ3722-22-2-2-22222-20000-2-2-2200002-2000002-22-22i−2i2i−2i000000000000002i−2i0000000000
χ3822-22-2-2-22222-20000-2-2-2200002-2000002-22-2−2i2i−2i2i00000000000000−2i2i0000000000
χ3922-22-2-2-22222-20000-2-2-2200002-200000-22-222i−2i2i−2i00000000000000−2i2i0000000000
χ4022-22-2-2-22222-20000-2-2-2200002-200000-22-22−2i2i−2i2i000000000000002i−2i0000000000
χ4122-22-2-2-22-2-22-200002-2220000-22000002-2-22000000002-22-200002-2000000000000
χ4222-22-2-2-22-2-22-200002-2220000-22000002-2-2200000000-22-220000-22000000000000
χ4322-22-2-2-22-2-22-200002-2220000-2200000-222-2000000002-22-20000-22000000000000
χ4422-22-2-2-22-2-22-200002-2220000-2200000-222-200000000-22-2200002-2000000000000
χ45444-4-4-44-4-440044-4-440-40-440000000000000000000000000000000000000000000
χ46444-4-4-44-4-4400-4-44440-404-40000000000000000000000000000000000000000000
χ4744-44-4-4-4444-440000-44-4-40000-44000000000000000000000000000000000000000
χ4844-44-4-4-44-4-4-440000444-400004-4000000000000000000000000000000000000000
χ4944-4-444-4-44-400000040-4000000000000000022−22−222200000000000000000000000000
χ5044-4-444-4-44-400000040-40000000000000000−222222−2200000000000000000000000000
χ5144-4-444-4-4-44000000-4040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-444-4-4-44000000-404000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4444-4-4-4004-40000040-40000000004-40000000000000000000000000000000000
χ544-4444-4-4-4004-40000040-4000000000-440000000000000000000000000000000000
χ554-4444-4-4-400-4400000-40400000004i−4i000000000000000000000000000000000000
χ564-4444-4-4-400-4400000-4040000000−4i4i000000000000000000000000000000000000
χ574-4-44-444-400444-44-40-40-4004-400000000000000000000000000000000000000000
χ584-4-44-444-40044-44-440-40-400-4400000000000000000000000000000000000000000
χ594-4-44-444-400-4-44-44-4040400-4400000000000000000000000000000000000000000
χ604-4-44-444-400-4-4-44-440404004-400000000000000000000000000000000000000000
χ614-4-4-44-44400004-4-44000000000000000000000000000000022−2222−2200000000000000
χ624-4-4-44-44400004-4-440000000000000000000000000000000−2222−222200000000000000
χ634-4-4-44-4440000-444-4000000000000000000000000000000022−22−222200000000000000
χ644-4-4-44-4440000-444-40000000000000000000000000000000−222222−2200000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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