Finite Group Databasebeta

← Group #275622

Character table — Group #275622

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-1-1-111-1-11111-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11-1
χ101111111111111111-1-1-1-111-1-11111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-11
χ172222222222-2-22-2-222222-2-2-2-20000-222-2-20000000000000000002-2000000000000
χ182222222222-2-22-2-222222-2-2-2-20000-2-2-222000000000000000000-22000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2220000222-2-2000000000000000000-22000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-22200002-2-2220000000000000000002-2000000000000
χ2122222222-2-222-222-222-2-2-2-2-2-2222220000-2-222-2-200000000000000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2-2-2-2-22000022-2-22200000000000000000000000000
χ2322222222-2-222-222-2-2-222-2-2222222-20000-2-2-2-22200000000000000000000000000
χ2422222222-2-222-222-2-2-222-2-222-2-2-2-2-200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222220000-200000000002i2i−2i−2i00000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-222220000-20000000000−2i−2i2i2i0000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-20000200000000002i2i−2i−2i0000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2000020000000000−2i−2i2i2i00000000000000002i−2i0000
χ29222-22-2-2-22-22-2-22-2200002-200000002i−2i2i−2i0000000000000022-2-200002i−2i00000000
χ30222-22-2-2-22-22-2-22-2200002-200000002i−2i2i−2i00000000000000-2-2220000−2i2i00000000
χ31222-22-2-2-22-22-2-22-2200002-20000000−2i2i−2i2i0000000000000022-2-20000−2i2i00000000
χ32222-22-2-2-22-22-2-22-2200002-20000000−2i2i−2i2i00000000000000-2-22200002i−2i00000000
χ33222-22-2-2-22-2-22-2-2220000-2200000002i−2i−2i2i000000000022-2-20000002i−2i0000000000
χ34222-22-2-2-22-2-22-2-2220000-2200000002i−2i−2i2i0000000000-2-222000000−2i2i0000000000
χ35222-22-2-2-22-2-22-2-2220000-220000000−2i2i2i−2i000000000022-2-2000000−2i2i0000000000
χ36222-22-2-2-22-2-22-2-2220000-220000000−2i2i2i−2i0000000000-2-2220000002i−2i0000000000
χ3722-2-2-222-2002-20-220002i−2i002i−2i2i2i−2i−2i0000000002-20000i2−i2i2−i22−22−20000002−200i2−i200
χ3822-2-2-222-2002-20-220002i−2i002i−2i2i2i−2i−2i0000000002-20000−i2i2−i2i2−22−22000000−2200−i2i200
χ3922-2-2-222-2002-20-220002i−2i002i−2i−2i−2i2i2i000000000-220000i2−i2i2−i22−22−2000000−2200−i2i200
χ4022-2-2-222-2002-20-220002i−2i002i−2i−2i−2i2i2i000000000-220000−i2i2−i2i2−22−220000002−200i2−i200
χ4122-2-2-222-2002-20-22000−2i2i00−2i2i2i2i−2i−2i000000000-220000i2−i2i2−i2−22−220000002−200−i2i200
χ4222-2-2-222-2002-20-22000−2i2i00−2i2i2i2i−2i−2i000000000-220000−i2i2−i2i22−22−2000000−2200i2−i200
χ4322-2-2-222-2002-20-22000−2i2i00−2i2i−2i−2i2i2i0000000002-20000i2−i2i2−i2−22−22000000−2200i2−i200
χ4422-2-2-222-2002-20-22000−2i2i00−2i2i−2i−2i2i2i0000000002-20000−i2i2−i2i22−22−20000002−200−i2i200
χ45444-44-4-4-4-444-444-4-40000-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-44-444-44-400004-40000000000000000000000000000000000000000000
χ4744-44-4-4-4400440-4-40000000000000000000000000000000022−22−222200000000000000
χ4844-44-4-4-4400440-4-400000000000000000000000000000000−222222−2200000000000000
χ4944-44-4-4-4400-4-404400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-44-4-4-4400-4-40440000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-4-4-444-400-4404-40004i−4i00−4i4i00000000000000000000000000000000000000000
χ5244-4-4-444-400-4404-4000−4i4i004i−4i00000000000000000000000000000000000000000
χ534-444-44-4-44-400400-40000000000000000000000022−2222−220000000000000000000000
χ544-444-44-4-44-400400-400000000000000000000000−2222−22220000000000000000000000
χ554-444-44-4-4-4400-4004000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-444-44-4-4-4400-400400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-44-4-4-4444400-400-40000000022−2222−220000022−22000000000000000000000000000000
χ584-44-4-4-4444400-400-400000000−2222−222200000−2222000000000000000000000000000000
χ594-44-4-4-444-4-40040040000000022−2222−2200000−2222000000000000000000000000000000
χ604-44-4-4-444-4-400400400000000−2222−22220000022−22000000000000000000000000000000
χ614-4-444-44-4000000004-40000002i2−2i2−2i22i200000002i2−2i20000000000000000000000000000
χ624-4-444-44-4000000004-4000000−2i22i22i2−2i20000000−2i22i20000000000000000000000000000
χ634-4-444-44-400000000-440000002i2−2i2−2i22i20000000−2i22i20000000000000000000000000000
χ644-4-444-44-400000000-44000000−2i22i22i2−2i200000002i2−2i20000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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