Finite Group Databasebeta

← Group #264996

Character table — Group #264996

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882222444888844444488888888888882444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ4111111111111111111111111111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111-1-11111111-1-1-1-11111-11-1-11-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-111
χ71111111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-11111-1-111-111-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-111-1111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11-1111-1-11-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11-1-1-111-11111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1111111111111-1-1-11-1-111-1-1-11
χ1722222222-2-2-2-2000022222-2-2000000-2-2000000000002i2i−2i−2i000000002i−2i000000
χ1822222222-2-2-2-2000022222-2-2000000-2-200000000000−2i−2i2i2i00000000−2i2i000000
χ1922222222-2-2-2-20000-2-2-2-22-2-200000022000000000002i2i−2i−2i00000000−2i2i000000
χ2022222222-2-2-2-20000-2-2-2-22-2-20000002200000000000−2i−2i2i2i000000002i−2i000000
χ21222222-2-2222222220000-2-2-2-2-222220022-20000000000000-200-200000000000
χ22222222-2-2222222220000-2-2-2-2-222-2-200-2-2-20000000000000200200000000000
χ23222222-2-22222-2-2-2-20000-2-2-222-2-22200-2-220000000000000200-200000000000
χ24222222-2-22222-2-2-2-20000-2-2-222-2-2-2-2002220000000000000-200200000000000
χ252222-2-2222-2-22222222-2-2-22-222-2-2002-200-2000022-2-200000000000000000000
χ262222-2-2222-2-222222-2-222-22-222-2-200-2200-20000-2-22200000000000000000000
χ272222-2-2222-2-22-2-2-2-222-2-2-22-2-2-222002-20020000-2-22200000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-222-22-2-2-22200-22002000022-2-200000000000000000000
χ292222-2-222-222-2000022-2-2-2-22000000-2200022-2-2000000002000000-200000000
χ302222-2-222-222-2000022-2-2-2-22000000-22000-2-22200000000-2000000200000000
χ312222-2-222-222-20000-2-222-2-220000002-200022-2-200000000-2000000200000000
χ322222-2-222-222-20000-2-222-2-220000002-2000-2-222000000002000000-200000000
χ332222-2-2-2-22-2-22222200002-22-2-2-2-20000002000000000000002-202-2000000000
χ342222-2-2-2-22-2-22222200002-22-2-2-2-2000000200000000000000-220-22000000000
χ352222-2-2-2-22-2-22-2-2-2-200002-222222000000-2000000000000002-20-22000000000
χ362222-2-2-2-22-2-22-2-2-2-200002-222222000000-200000000000000-2202-2000000000
χ372-2-222-20022-2-22i2i−2i−2i0000000002i−2i2i−2i002-202−22−20000i2−i2i2−i20000000000i2−i22−200
χ382-2-222-20022-2-22i2i−2i−2i0000000002i−2i2i−2i002-20−22−220000−i2i2−i2i20000000000−i2i2−2200
χ392-2-222-20022-2-22i2i−2i−2i0000000002i−2i−2i2i00-2202−22−20000i2−i2i2−i20000000000−i2i2−2200
χ402-2-222-20022-2-22i2i−2i−2i0000000002i−2i−2i2i00-220−22−220000−i2i2−i2i20000000000i2−i22−200
χ412-2-222-20022-2-2−2i−2i2i2i000000000−2i2i2i−2i00-2202−22−20000−i2i2−i2i20000000000i2−i2−2200
χ422-2-222-20022-2-2−2i−2i2i2i000000000−2i2i2i−2i00-220−22−220000i2−i2i2−i20000000000−i2i22−200
χ432-2-222-20022-2-2−2i−2i2i2i000000000−2i2i−2i2i002-202−22−20000−i2i2−i2i20000000000−i2i22−200
χ442-2-222-20022-2-2−2i−2i2i2i000000000−2i2i−2i2i002-20−22−220000i2−i2i2−i20000000000i2−i2−2200
χ45444444-4-4-4-4-4-400000000-444000000000000000000000000000000000000000
χ464444-4-4-4-4-444-40000000044-4000000000000000000000000000000000000000
χ4744-4-4004-4000022−2222−22004-400022−2200000000000000022−2200000000000000000000
χ4844-4-4004-4000022−2222−2200-4400022−22000000000000000−222200000000000000000000
χ4944-4-4004-40000−2222−2222004-4000−2222000000000000000−222200000000000000000000
χ5044-4-4004-40000−2222−222200-44000−222200000000000000022−2200000000000000000000
χ5144-4-400-44000022−2222−224-400000−2222000000000000022−220000000000000000000000
χ5244-4-400-44000022−2222−22-4400000−22220000000000000−22220000000000000000000000
χ5344-4-400-440000−2222−22224-40000022−220000000000000−22220000000000000000000000
χ5444-4-400-440000−2222−2222-440000022−22000000000000022−220000000000000000000000
χ554-4-444-400-4-44400000000000000000000000000000022−22−22220000000000000000
χ564-4-444-400-4-444000000000000000000000000000000−222222−220000000000000000
χ574-4-44-44004-44-44i4i−4i−4i000000000−4i4i00000000000000000000000000000000000
χ584-4-44-44004-44-4−4i−4i4i4i0000000004i−4i00000000000000000000000000000000000
χ594-4-44-4400-44-44000000000000000000000022−22−2222000000000000000000000000
χ604-4-44-4400-44-440000000000000000000000−222222−22000000000000000000000000
χ618-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000
χ628-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000

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