Finite Group Databasebeta

← Group #264949

Character table — Group #264949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882222444888844444488888888888882444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-11111111-1-1111111111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-11111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-1-1111111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-111111111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-11-1-111-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-11-111-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1111111111-11111-1-1-1-111-1-1-11
χ172222222-2-222222220000-2-2-2-2-222002222-20000000000000-2-20000000000000
χ182222222-2-222222220000-2-2-2-2-22200-2-2-2-2-20000000000000220000000000000
χ192222222-2-2222-2-2-2-20000-2-2-222-2-20022-2-220000000000000-220000000000000
χ202222222-2-2222-2-2-2-20000-2-2-222-2-200-2-222200000000000002-20000000000000
χ21222222-222-2-2-2000022222-2-20000-2-200000000000002i2i−2i−2i000000002i−2i000000
χ22222222-222-2-2-2000022222-2-20000-2-20000000000000−2i−2i2i2i00000000−2i2i000000
χ23222222-222-2-2-20000-2-2-2-22-2-200002200000000000002i2i−2i−2i00000000−2i2i000000
χ24222222-222-2-2-20000-2-2-2-22-2-20000220000000000000−2i−2i2i2i000000002i−2i000000
χ252222-2-2222-22-2000022-2-2-2-2200002-20000022-2-200000000200-2000000000000
χ262222-2-2222-22-2000022-2-2-2-2200002-200000-2-22200000000-2002000000000000
χ272222-2-2222-22-20000-2-222-2-220000-220000022-2-200000000-2002000000000000
χ282222-2-2222-22-20000-2-222-2-220000-2200000-2-22200000000200-2000000000000
χ292222-2-2-2222-22222222-2-2-22-222-2-2-220000-2000022-2-200000000000000000000
χ302222-2-2-2222-222222-2-222-22-222-2-22-20000-20000-2-22200000000000000000000
χ312222-2-2-2222-22-2-2-2-222-2-2-22-2-2-222-22000020000-2-22200000000000000000000
χ322222-2-2-2222-22-2-2-2-2-2-222-22-2-2-2222-200002000022-2-200000000000000000000
χ332222-2-2-2-2-22-22222200002-22-2-2-2-2000000200000000000000002-22-200000000
χ342222-2-2-2-2-22-22222200002-22-2-2-2-200000020000000000000000-22-2200000000
χ352222-2-2-2-2-22-22-2-2-2-200002-222222000000-200000000000000002-2-2200000000
χ362222-2-2-2-2-22-22-2-2-2-200002-222222000000-20000000000000000-222-200000000
χ372-22-22-2200-2-2222-2-20000000002-2002i−2i2i−2i02−22−200002−22−20000000000i2−i2i2−i200
χ382-22-22-2200-2-2222-2-20000000002-2002i−2i2i−2i0−22−220000−22−220000000000−i2i2−i2i200
χ392-22-22-2200-2-2222-2-20000000002-200−2i2i−2i2i02−22−200002−22−20000000000−i2i2−i2i200
χ402-22-22-2200-2-2222-2-20000000002-200−2i2i−2i2i0−22−220000−22−220000000000i2−i2i2−i200
χ412-22-22-2200-2-22-2-222000000000-22002i−2i−2i2i02−22−20000−22−220000000000i2−i2−i2i200
χ422-22-22-2200-2-22-2-222000000000-22002i−2i−2i2i0−22−2200002−22−20000000000−i2i2i2−i200
χ432-22-22-2200-2-22-2-222000000000-2200−2i2i2i−2i02−22−20000−22−220000000000−i2i2i2−i200
χ442-22-22-2200-2-22-2-222000000000-2200−2i2i2i−2i0−22−2200002−22−20000000000i2−i2−i2i200
χ45444444-4-4-4-4-4-400000000-444000000000000000000000000000000000000000
χ464444-4-44-4-4-44-40000000044-4000000000000000000000000000000000000000
χ4744-4-40004-400022−2222−22004-400022−2200000000000000022−2200000000000000000000
χ4844-4-40004-400022−2222−2200-4400022−22000000000000000−222200000000000000000000
χ4944-4-40004-4000−2222−2222004-4000−2222000000000000000−222200000000000000000000
χ5044-4-40004-4000−2222−222200-44000−222200000000000000022−2200000000000000000000
χ5144-4-4000-4400022−2222−224-400000−2222000000000000022−220000000000000000000000
χ5244-4-4000-4400022−2222−22-4400000−22220000000000000−22220000000000000000000000
χ5344-4-4000-44000−2222−22224-40000022−220000000000000−22220000000000000000000000
χ5444-4-4000-44000−2222−2222-440000022−22000000000000022−220000000000000000000000
χ554-44-44-4-40044-40000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ564-44-44-4-40044-4000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ574-44-4-444004-4-4000000000000000000000022−22−2222000000000000000000000000
χ584-44-4-444004-4-40000000000000000000000−222222−22000000000000000000000000
χ594-44-4-44-400-44444-4-4000000000-4400000000000000000000000000000000000
χ604-44-4-44-400-444-4-4440000000004-400000000000000000000000000000000000
χ618-8-880000000042−42−42420000000000000000000000000000000000000000000000
χ628-8-8800000000−424242−420000000000000000000000000000000000000000000000

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