Finite Group Databasebeta

← Group #280335

Character table — Group #280335

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111111-1-1-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-111-1-11111-1-111-1
χ17222222222-22-2-222-20000-2-2222200002222-2-2-2-2000000000000-200000000000000
χ18222222222-22-2-222-20000-2-222220000-2-2-2-222-2-2000000000000200000000000000
χ19222222222-22-2-222-20000-2-2-2-2-2-2000022-2-2-2-222000000000000200000000000000
χ20222222222-22-2-222-20000-2-2-2-2-2-20000-2-2222222000000000000-200000000000000
χ2122222222-22-222-2-222222-2-2000022-2-20000000022-2-2000000000-20000000000000
χ2222222222-22-222-2-222222-2-20000-2-2-2-200000000-2-22200000000020000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-20000222200000000-2-222000000000-20000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000-2-2220000000022-2-200000000020000000000000
χ252-2-222-22-222-2-2-22-2200002-2000000002i−2i002i−2i0000002i2i−2i−2i000000002-2000000000
χ262-2-222-22-222-2-2-22-2200002-2000000002i−2i002i−2i000000−2i−2i2i2i00000000-22000000000
χ272-2-222-22-222-2-2-22-2200002-200000000−2i2i00−2i2i0000002i2i−2i−2i00000000-22000000000
χ282-2-222-22-222-2-2-22-2200002-200000000−2i2i00−2i2i000000−2i−2i2i2i000000002-2000000000
χ292-2-222-22-22-2-2222-2-222-2-2-220000002-22i−2i00−2i2i00000000000000002i−2i00000000000
χ302-2-222-22-22-2-2222-2-222-2-2-220000002-2−2i2i002i−2i0000000000000000−2i2i00000000000
χ312-2-222-22-22-2-2222-2-2-2-222-22000000-222i−2i00−2i2i0000000000000000−2i2i00000000000
χ322-2-222-22-22-2-2222-2-2-2-222-22000000-22−2i2i002i−2i00000000000000002i−2i00000000000
χ332-2-222-22-2-2-2222-22-222-2-22-2000000-22000000000000000000000000002i−2i002i−2i000
χ342-2-222-22-2-2-2222-22-222-2-22-2000000-2200000000000000000000000000−2i2i00−2i2i000
χ352-2-222-22-2-2-2222-22-2-2-2222-20000002-2000000000000000000000000002i−2i00−2i2i000
χ362-2-222-22-2-2-2222-22-2-2-2222-20000002-200000000000000000000000000−2i2i002i−2i000
χ372-2-2-2-22220-202-20022-22-20022−2−22-2000000002−22-2002−22−222−2−2000000002−200000
χ382-2-2-2-22220-202-20022-22-20022−2−2-22000000002−2-22002−22−2−2−22200000000−2200000
χ392-2-2-2-22220-202-20022-22-200−2−2222-200000000−222-200−22−22−2−22200000000−2200000
χ402-2-2-2-22220-202-20022-22-200−2−222-2200000000−22-2200−22−2222−2−2000000002−200000
χ412-2-2-2-22220-202-2002-22-220022−2−22-2000000002−2-2200−22−22−2−222000000002−200000
χ422-2-2-2-22220-202-2002-22-220022−2−2-22000000002−22-200−22−2222−2−200000000−2200000
χ432-2-2-2-22220-202-2002-22-2200−2−2222-200000000−22-22002−22−222−2−200000000−2200000
χ442-2-2-2-22220-202-2002-22-2200−2−222-2200000000−222-2002−22−2−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-40404-400-44-4-44000000000000000000000000000000000000000000000
χ47444-4-4-44-40404-400-4-444-4000000000000000000000000000000000000000000000
χ48444-4-4-44-40-40-44004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ49444-4-4-44-40-40-4400400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-44-4-4-440000000000000022−2222−22000000000000002i2−2i200002i−2i2i−2i000000000000000
χ5144-44-4-4-440000000000000022−2222−2200000000000000−2i22i20000−2i2i−2i2i000000000000000
χ5244-44-4-4-4400000000000000−2222−2222000000000000002i2−2i20000−2i2i−2i2i000000000000000
χ5344-44-4-4-4400000000000000−2222−222200000000000000−2i22i200002i−2i2i−2i000000000000000
χ5444-4-444-4-440-400-44000000000000000000000000000000000000000000000002i2−2i20
χ5544-4-444-4-440-400-4400000000000000000000000000000000000000000000000−2i22i20
χ5644-4-444-4-4-404004-4000000000000000004i−4i0000000000000000000000000000000
χ5744-4-444-4-4-404004-400000000000000000−4i4i0000000000000000000000000000000
χ584-44-44-4-4440400-4-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ594-44-44-4-4440400-4-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ604-44-44-4-44-40-4004400000004-4-44000000000000000000000000000000000000000
χ614-44-44-4-44-40-400440000000-444-4000000000000000000000000000000000000000
χ624-4-444-44-4-444-4-4-4440000-440000000000000000000000000000000000000000000
χ634-4-4-4-4444040-4400-40000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-4-4444040-4400-4000000−22−222222000000000022−22000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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