Finite Group Databasebeta

← Group #293256

Character table — Group #293256

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444442244442244444444888888888888888844444444888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ51111111111111111111111-1-11111-1-1111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111
χ71111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-111
χ91111111111111111-1-11-1-1111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-11-1
χ101111111111111111-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-111-1-111-11
χ111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1111-1
χ121111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-111-1-1-11
χ131111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-111-11
χ141111111111111111-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111111-1-111-1-1-111-1-11-1
χ151111111111111111-1-11-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-1-111111-1-1-11
χ161111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11-1-1111-1-1111-1
χ172222222222-2-2-222-222-2-2-2-200-222200-2-2000000000000000000-200200000000
χ182222222222-2-2-222-222-2-2-2-200-22-2-20022000000000000000000200-200000000
χ192222222222-2-2-222-2-2-2-222-2002-22200-2-2000000000000000000200-200000000
χ202222222222-2-2-222-2-2-2-222-2002-2-2-20022000000000000000000-200200000000
χ2122222222-2-2222-2-2222-222-222-2-20022000000000000000000-2-2000000000000
χ2222222222-2-2222-2-2222-222-2-2-2-2-200-2-200000000000000000022000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2222200-2-20000000000000000002-2000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2-2-2220022000000000000000000-22000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22002-200000000000000000000000002-202-2000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22002-20000000000000000000000000-220-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200-2200000000000000000000000002-20-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200-220000000000000000000000000-2202-2000000
χ292-22-22-22-22-222-22-2-200-200200002i−2i002i−2i00002i2i−2i−2i000022-2-200000000000000
χ302-22-22-22-22-222-22-2-200-200200002i−2i002i−2i0000−2i−2i2i2i0000-2-22200000000000000
χ312-22-22-22-22-222-22-2-200-20020000−2i2i00−2i2i00002i2i−2i−2i0000-2-22200000000000000
χ322-22-22-22-22-222-22-2-200-20020000−2i2i00−2i2i0000−2i−2i2i2i000022-2-200000000000000
χ332-22-22-22-22-2-2-222-2200200-200002i−2i00−2i2i22-2-200002i2i−2i−2i000000000000000000
χ342-22-22-22-22-2-2-222-2200200-200002i−2i00−2i2i-2-2220000−2i−2i2i2i000000000000000000
χ352-22-22-22-22-2-2-222-2200200-20000−2i2i002i−2i22-2-20000−2i−2i2i2i000000000000000000
χ362-22-22-22-22-2-2-222-2200200-20000−2i2i002i−2i-2-22200002i2i−2i−2i000000000000000000
χ372-2-2-2-2222002-2-20022-202-202-200002-200000000002−22−22−22−2000000002−22−200
χ382-2-2-2-2222002-2-20022-202-202-200002-20000000000−22−22−22−2200000000−22−2200
χ392-2-2-2-2222002-2-20022-202-20-220000-2200000000002−22−22−22−200000000−22−2200
χ402-2-2-2-2222002-2-20022-202-20-220000-220000000000−22−22−22−22000000002−22−200
χ412-2-2-2-2222002-2-2002-220-2202-20000-2200000000002−22−2−22−22000000002−2−2200
χ422-2-2-2-2222002-2-2002-220-2202-20000-220000000000−22−222−22−200000000−222−200
χ432-2-2-2-2222002-2-2002-220-220-2200002-200000000002−22−2−22−2200000000−222−200
χ442-2-2-2-2222002-2-2002-220-220-2200002-20000000000−22−222−22−2000000002−2−2200
χ4544-44-4-44-4004-4400-4000000000000000000000000000022−22−222200000000000000
χ4644-44-4-44-4004-4400-40000000000000000000000000000−222222−2200000000000000
χ4744-44-4-44-400-44-40040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ4844-44-4-44-400-44-4004000000000000000000000000−2i22i22i2−2i2000000000000000000
χ4944-4-444-4-444000-4-40000000000000000022−2222−2200000000000000000000000000
χ5044-4-444-4-444000-4-400000000000000000−2222−222200000000000000000000000000
χ5144-4-444-4-4-4-4000440000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5244-4-444-4-4-4-400044000000000000000000000−2i22i2−2i22i20000000000000000000000
χ534-44-44-44-4-4444-4-44-400400-40000000000000000000000000000000000000000
χ544-44-44-44-4-44-4-44-44400-40040000000000000000000000000000000000000000
χ554-4-444-4-444-4000-440000000000000000022−22−222200000000000000000000000000
χ564-4-444-4-444-4000-4400000000000000000−222222−2200000000000000000000000000
χ574-4-444-4-44-440004-400000000000000000000022−22−22220000000000000000000000
χ584-4-444-4-44-440004-4000000000000000000000−222222−220000000000000000000000
χ594-4-4-4-444400-44400-44-40-4400000000000000000000000000000000000000000
χ604-4-4-4-444400-44400-4-4404-400000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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