Finite Group Databasebeta

← Group #264180

Character table — Group #264180

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222448888444444888888888888882244444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-11-1-1-1-1-11-1-1-1-111-1-1
χ411111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-111-1-1111-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-111111-11-1-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111-111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11111-1-1111-1-1-1-1-11
χ17222222222-2-222-22-22222-2-2000000-2-2000022-2-2000000000200000-200000000
χ18222222222-2-222-22-22222-2-2000000-2-20000-2-222000000000-200000200000000
χ19222222222-2-222-22-2-2-2-2-2-2-200000022000022-2-2000000000-200000200000000
χ20222222222-2-222-22-2-2-2-2-2-2-2000000220000-2-222000000000200000-200000000
χ2122222222-222-2-22-220000-2-22222220022-2-2000000000000-20-20000000000000
χ2222222222-222-2-22-220000-2-22222-2-200-2-2-2-20000000000002020000000000000
χ2322222222-222-2-22-220000-2-2-2-2-2-22200-2-222000000000000-2020000000000000
χ2422222222-222-2-22-220000-2-2-2-2-2-2-2-200222200000000000020-20000000000000
χ2522-2-22-2-2202-20020-20000002i2i−2i−2i2i−2i002-2002−22−20000i2i2−i2−i200000000i2−i22−20000
χ2622-2-22-2-2202-20020-20000002i2i−2i−2i2i−2i002-200−22−220000−i2−i2i2i200000000−i2i2−220000
χ2722-2-22-2-2202-20020-20000002i2i−2i−2i−2i2i00-22002−22−20000i2i2−i2−i200000000−i2i2−220000
χ2822-2-22-2-2202-20020-20000002i2i−2i−2i−2i2i00-2200−22−220000−i2−i2i2i200000000i2−i22−20000
χ2922-2-22-2-2202-20020-2000000−2i−2i2i2i2i−2i00-22002−22−20000−i2−i2i2i200000000i2−i2−220000
χ3022-2-22-2-2202-20020-2000000−2i−2i2i2i2i−2i00-2200−22−220000i2i2−i2−i200000000−i2i22−20000
χ3122-2-22-2-2202-20020-2000000−2i−2i2i2i−2i2i002-2002−22−20000−i2−i2i2i200000000−i2i22−20000
χ3222-2-22-2-2202-20020-2000000−2i−2i2i2i−2i2i002-200−22−220000i2i2−i2−i200000000i2−i2−220000
χ332-2-22-2-2222-2-2-2-222200002-22-22-20000002-20000000000000002-22-2000000000
χ342-2-22-2-2222-2-2-2-222200002-22-22-20000002-2000000000000000-22-22000000000
χ352-2-22-2-2222-2-2-2-222200002-2-22-22000000-220000000000000002-2-22000000000
χ362-2-22-2-2222-2-2-2-222200002-2-22-22000000-22000000000000000-222-2000000000
χ372-2-22-2-222-22222-2-2-222-2-22-20000002-20000000000002i−2i2i−2i0000000000002i−2i00
χ382-2-22-2-222-22222-2-2-222-2-22-20000002-2000000000000−2i2i−2i2i000000000000−2i2i00
χ392-2-22-2-222-22222-2-2-2-2-2222-2000000-220000000000002i−2i2i−2i000000000000−2i2i00
χ402-2-22-2-222-22222-2-2-2-2-2222-2000000-22000000000000−2i2i−2i2i0000000000002i−2i00
χ412-2-22-2-222-2-2-2222-2222-2-2-222-22-200-2200-22000022-2-200000000000000000000
χ422-2-22-2-222-2-2-2222-2222-2-2-22-22-2200-22002-20000-2-22200000000000000000000
χ432-2-22-2-222-2-2-2222-22-2-222-222-22-2002-200-220000-2-22200000000000000000000
χ442-2-22-2-222-2-2-2222-22-2-222-22-22-22002-2002-2000022-2-200000000000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-44-44004-40-404-44-4000000000000000000000000000000000000000000
χ47444-4-4-44-44004-40-40-44-44000000000000000000000000000000000000000000
χ48444-4-4-44-4-400-4404000000000000000000000002i2−2i22i2−2i200000000000000000000
χ49444-4-4-44-4-400-440400000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-4-44-4-440-4400-40400000000000000000022−22−2222000000000000000000000000
χ5144-4-44-4-440-4400-404000000000000000000−222222−22000000000000000000000000
χ524-44-4-44-4404-400-4040000000000000000000000000022−22−22220000000000000000
χ534-44-4-44-4404-400-40400000000000000000000000000−222222−220000000000000000
χ544-44-4-44-440-440040-40000004i−4i−4i4i000000000000000000000000000000000000
χ554-44-4-44-440-440040-4000000−4i4i4i−4i000000000000000000000000000000000000
χ564-4-44-4-444444-4-4-44-40000-440000000000000000000000000000000000000000
χ574-4-4-4444-4400-440-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ584-4-4-4444-4400-440-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ594-4-4-4444-4-4004-40404-4-44000000000000000000000000000000000000000000
χ604-4-4-4444-4-4004-4040-444-4000000000000000000000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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