Finite Group Databasebeta

← Group #285968

Character table — Group #285968

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488882244488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-111-1-1-1-1111111-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-11
χ101111111111111111-1-111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-1
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-11
χ172222222222-2-2-22-2222-2-2-2-222000022-2-2-20000000000000000002-2000000000000
χ182222222222-2-2-22-2222-2-2-2-2220000-2-2-222000000000000000000-22000000000000
χ192222222222-2-2-22-22-2-2-2-222-2-20000222-2-2000000000000000000-22000000000000
χ202222222222-2-2-22-22-2-2-2-222-2-20000-2-22220000000000000000002-2000000000000
χ2122222222-2-2222-22-222-2-222-2-2222200-200-2-222-2-200000000000000000000000000
χ2222222222-2-2222-22-222-2-222-2-2-2-2-2-200-20022-2-22200000000000000000000000000
χ2322222222-2-2222-22-2-2-2-2-2-2-222222200200-2-2-2-22200000000000000000000000000
χ2422222222-2-2222-22-2-2-2-2-2-2-222-2-2-2-2002002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-20000002000000002i2i−2i−2i00000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2000000200000000−2i−2i2i2i0000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-2000000002i2i−2i−2i0000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000−2i−2i2i2i00000000000000002i−2i0000
χ292-222-22-2-22-222-2-2-22002-200000000000000000002i−2i2i−2i22-2-20000002i−2i0000000000
χ302-222-22-2-22-222-2-2-22002-200000000000000000002i−2i2i−2i-2-222000000−2i2i0000000000
χ312-222-22-2-22-222-2-2-22002-20000000000000000000−2i2i−2i2i22-2-2000000−2i2i0000000000
χ322-222-22-2-22-222-2-2-22002-20000000000000000000−2i2i−2i2i-2-2220000002i−2i0000000000
χ332-222-22-2-2-22-2-2222-2002-200000000000000000002-2-2200002i2i−2i−2i00002i−2i00000000
χ342-222-22-2-2-22-2-2222-2002-200000000000000000002-2-220000−2i−2i2i2i0000−2i2i00000000
χ352-222-22-2-2-22-2-2222-2002-20000000000000000000-222-200002i2i−2i−2i0000−2i2i00000000
χ362-222-22-2-2-22-2-2222-2002-20000000000000000000-222-20000−2i−2i2i2i00002i−2i00000000
χ372-2-22-2-222002-220-202-2002-2002i2i−2i−2i00000002i−2i000000i2−i2i2−i2i2−i2i2−i20000002−2002−200
χ382-2-22-2-222002-220-202-2002-2002i2i−2i−2i00000002i−2i000000−i2i2−i2i2−i2i2−i2i2000000−2200−2200
χ392-2-22-2-222002-220-202-2002-200−2i−2i2i2i0000000−2i2i000000i2−i2i2−i2i2−i2i2−i2000000−2200−2200
χ402-2-22-2-222002-220-202-2002-200−2i−2i2i2i0000000−2i2i000000−i2i2−i2i2−i2i2−i2i20000002−2002−200
χ412-2-22-2-222002-220-20-2200-22002i2i−2i−2i0000000−2i2i000000i2−i2i2−i2−i2i2−i2i20000002−200−2200
χ422-2-22-2-222002-220-20-2200-22002i2i−2i−2i0000000−2i2i000000−i2i2−i2i2i2−i2i2−i2000000−22002−200
χ432-2-22-2-222002-220-20-2200-2200−2i−2i2i2i00000002i−2i000000i2−i2i2−i2−i2i2−i2i2000000−22002−200
χ442-2-22-2-222002-220-20-2200-2200−2i−2i2i2i00000002i−2i000000−i2i2−i2i2i2−i2i2−i20000002−200−2200
χ4544-444-4-4-4004-4-40400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ4644-444-4-4-4004-4-4040000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ4744-444-4-4-400-4440-40000000000000000000000000000000022−22−222200000000000000
χ4844-444-4-4-400-4440-400000000000000000000000000000000−222222−2200000000000000
χ4944-4-4-444-444000-40-40000000022−2222−220000022−22000000000000000000000000000000
χ5044-4-4-444-444000-40-400000000−2222−222200000−2222000000000000000000000000000000
χ5144-4-4-444-4-4-40004040000000022−2222−2200000−2222000000000000000000000000000000
χ5244-4-4-444-4-4-400040400000000−2222−22220000022−22000000000000000000000000000000
χ534-444-44-4-44-4-4-44-44400-44000000000000000000000000000000000000000000000
χ544-444-44-4-4-4444-44-4-400-44000000000000000000000000000000000000000000000
χ554-44-44-44-4000000000000004i−4i2i2−2i2−2i22i200000000022−2200000000000000000000000000
χ564-44-44-44-4000000000000004i−4i−2i22i22i2−2i2000000000−222200000000000000000000000000
χ574-44-44-44-400000000000000−4i4i2i2−2i2−2i22i2000000000−222200000000000000000000000000
χ584-44-44-44-400000000000000−4i4i−2i22i22i2−2i200000000022−2200000000000000000000000000
χ594-4-44-4-44400-44-40404-400-440000000000000000000000000000000000000000000
χ604-4-44-4-44400-44-4040-44004-40000000000000000000000000000000000000000000
χ614-4-4-444-444-400040-40000000000000004i−4i00000000000000000000000000000000
χ624-4-4-444-444-400040-4000000000000000−4i4i00000000000000000000000000000000
χ634-4-4-444-44-44000-4040000000000004-400000000000000000000000000000000000
χ644-4-4-444-44-44000-404000000000000-4400000000000000000000000000000000000
χ65888-8-8-8-88000000000000000000000000000000000000000000000000000000000

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