Finite Group Databasebeta

← Group #300736

Character table — Group #300736

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-111-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-111-1-1-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1111-1-111-1-111-1-1-11
χ17222222222-22-2-222-20000-2-22222002222-2-2000000000000-200-2000000000000
χ18222222222-22-2-222-20000-2-2222200-2-2-2-2-2-20000000000002002000000000000
χ19222222222-22-2-222-20000-2-2-2-2-2-20022-2-222000000000000-2002000000000000
χ20222222222-22-2-222-20000-2-2-2-2-2-200-2-22222000000000000200-2000000000000
χ2122222222-22-222-2-222222-2-20000-2-200000022-2-20000000002-20000000000000
χ2222222222-22-222-2-222222-2-20000-2-2000000-2-222000000000-220000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-200002200000022-2-2000000000-220000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-2000022000000-2-2220000000002-20000000000000
χ252-2-2222-2-2-20-20022000000022-2-2002i−2i2i−2i002−22−2000022−2−20000000000i2−i2i2−i200
χ262-2-2222-2-2-20-20022000000022-2-2002i−2i2i−2i00−22−220000−2−2220000000000−i2i2−i2i200
χ272-2-2222-2-2-20-20022000000022-2-200−2i2i−2i2i002−22−2000022−2−20000000000−i2i2−i2i200
χ282-2-2222-2-2-20-20022000000022-2-200−2i2i−2i2i00−22−220000−2−2220000000000i2−i2i2−i200
χ292-2-2222-2-2-20-200220000000-2-222002i−2i−2i2i002−22−20000−2−2220000000000i2−i2−i2i200
χ302-2-2222-2-2-20-200220000000-2-222002i−2i−2i2i00−22−22000022−2−20000000000−i2i2i2−i200
χ312-2-2222-2-2-20-200220000000-2-22200−2i2i2i−2i002−22−20000−2−2220000000000−i2i2i2−i200
χ322-2-2222-2-2-20-200220000000-2-22200−2i2i2i−2i00−22−22000022−2−20000000000i2−i2−i2i200
χ332-2-2-2-222222-2-2-22-2222-2-2-2200002-2000000000000002-22-2000000002-2000000
χ342-2-2-2-222222-2-2-22-2222-2-2-2200002-200000000000000-22-2200000000-22000000
χ352-2-2-2-222222-2-2-22-22-2-222-220000-22000000000000002-22-200000000-22000000
χ362-2-2-2-222222-2-2-22-22-2-222-220000-2200000000000000-22-22000000002-2000000
χ372-2-2-2-2222-222-2-2-22222-2-22-22-22-2-2200002-2000022-2-200000000000000000000
χ382-2-2-2-2222-222-2-2-22222-2-22-2-22-22-220000-220000-2-22200000000000000000000
χ392-2-2-2-2222-222-2-2-222-2-2222-22-22-22-200002-20000-2-22200000000000000000000
χ402-2-2-2-2222-222-2-2-222-2-2222-2-22-222-20000-22000022-2-200000000000000000000
χ412-2-2-2-2222-2-2222-22-20000-222-22-2000000-2200000000000000002-22-200000000
χ422-2-2-2-2222-2-2222-22-20000-222-22-2000000-220000000000000000-22-2200000000
χ432-2-2-2-2222-2-2222-22-20000-22-22-220000002-200000000000000002-2-2200000000
χ442-2-2-2-2222-2-2222-22-20000-22-22-220000002-20000000000000000-222-200000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-44-4-440-400-4400000004-4-44000000000000000000000000000000000000
χ47444-4-44-4-440-400-440000000-444-4000000000000000000000000000000000000
χ48444-4-44-4-4-404004-400000000000000000000000000022−22−22220000000000000000
χ49444-4-44-4-4-404004-4000000000000000000000000000−222222−220000000000000000
χ5044-44-4-44-40404-400-4000000000000000000000022−2222−2200000000000000000000
χ5144-44-4-44-40404-400-40000000000000000000000−2222−222200000000000000000000
χ5244-44-4-44-40-40-440044i−4i4i−4i000000000000000000000000000000000000000000
χ5344-44-4-44-40-40-44004−4i4i−4i4i000000000000000000000000000000000000000000
χ544-44-44-44-4040-4400-4000000000000000000000022−22−222200000000000000000000
χ554-44-44-44-4040-4400-40000000000000000000000−222222−2200000000000000000000
χ564-44-44-44-40-404-40044i−4i−4i4i000000000000000000000000000000000000000000
χ574-44-44-44-40-404-4004−4i4i4i−4i000000000000000000000000000000000000000000
χ584-4-4444-4-440400-4-4000000000000000000022−22−2222000000000000000000000000
χ594-4-4444-4-440400-4-40000000000000000000−222222−22000000000000000000000000
χ604-4-4-4-44444-4-4444-4-400004-40000000000000000000000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-888-8-8-88000000000000000000000000000000000000000000000000000000

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