Finite Group Databasebeta

← Group #264994

Character table — Group #264994

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488884444444888844444488888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111111-11-1-1-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-11111111-1-1111111111-1-1-1-111111-11-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-11111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111
χ71111111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11-111111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-111-1-11-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-111-11111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-11111-11111-1-1-1-11-1-1-1-111-11111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1111-1-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-111111111-11111-1-11-1-111-1-1-11
χ1722222222-2-2-2-2000022222-2-20000-2-200000000000002i2i−2i−2i000000002i−2i000000
χ1822222222-2-2-2-2000022222-2-20000-2-20000000000000−2i−2i2i2i00000000−2i2i000000
χ1922222222-2-2-2-20000-2-2-2-22-2-200002200000000000002i2i−2i−2i00000000−2i2i000000
χ2022222222-2-2-2-20000-2-2-2-22-2-20000220000000000000−2i−2i2i2i000000002i−2i000000
χ21222222-2-2222222220000-2-2-222-2-20022220000-200000000-20-20000000000000
χ22222222-2-2222222220000-2-2-222-2-200-2-2-2-20000-2000000002020000000000000
χ23222222-2-22222-2-2-2-20000-2-2-2-2-2220022-2-20000200000000-2020000000000000
χ24222222-2-22222-2-2-2-20000-2-2-2-2-22200-2-222000020000000020-20000000000000
χ252222-2-22222-2-2000022-2-2-2-2200002-2000022-2-20000000000200000-200000000
χ262222-2-22222-2-2000022-2-2-2-2200002-20000-2-2220000000000-200000200000000
χ272222-2-22222-2-20000-2-222-2-220000-22000022-2-20000000000-200000200000000
χ282222-2-22222-2-20000-2-222-2-220000-220000-2-2220000000000200000-200000000
χ292222-2-222-2-222222222-2-2-22-2-2-222-2200000000-222-2-200000000000000000000
χ302222-2-222-2-2222222-2-222-22-2-2-2222-200000000-2-2-22200000000000000000000
χ312222-2-222-2-222-2-2-2-222-2-2-22-222-2-2-22000000002-2-22200000000000000000000
χ322222-2-222-2-222-2-2-2-2-2-222-22-222-2-22-200000000222-2-200000000000000000000
χ332222-2-2-2-2-2-222222200002-22-2-2-2-200000000002000000000002-22-2000000000
χ342222-2-2-2-2-2-222222200002-22-2-2-2-20000000000200000000000-22-22000000000
χ352222-2-2-2-2-2-222-2-2-2-200002-2222220000000000-2000000000002-2-22000000000
χ362222-2-2-2-2-2-222-2-2-2-200002-2222220000000000-200000000000-222-2000000000
χ372-22-22-2002-22-22i2i−2i−2i00000002i−2i00002i−2i2-2i2−i2i2−i2000002−22−200000000002−2i2−i200
χ382-22-22-2002-22-22i2i−2i−2i00000002i−2i00002i−2i2-2−i2i2−i2i200000−22−220000000000−22−i2i200
χ392-22-22-2002-22-22i2i−2i−2i00000002i−2i0000−2i2i-22i2−i2i2−i2000002−22−20000000000−22−i2i200
χ402-22-22-2002-22-22i2i−2i−2i00000002i−2i0000−2i2i-22−i2i2−i2i200000−22−2200000000002−2i2−i200
χ412-22-22-2002-22-2−2i−2i2i2i0000000−2i2i00002i−2i-22i2−i2i2−i200000−22−2200000000002−2−i2i200
χ422-22-22-2002-22-2−2i−2i2i2i0000000−2i2i00002i−2i-22−i2i2−i2i2000002−22−20000000000−22i2−i200
χ432-22-22-2002-22-2−2i−2i2i2i0000000−2i2i0000−2i2i2-2i2−i2i2−i200000−22−220000000000−22i2−i200
χ442-22-22-2002-22-2−2i−2i2i2i0000000−2i2i0000−2i2i2-2−i2i2−i2i2000002−22−200000000002−2−i2i200
χ45444444-4-4-4-4-4-400000000-444000000000000000000000000000000000000000
χ464444-4-4-4-444-4-40000000044-4000000000000000000000000000000000000000
χ474-44-44-400-44-440000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ484-44-44-400-44-44000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ494-44-4-44004-4-440000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ504-44-4-44004-4-44000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ514-44-4-4400-444-44i4i−4i−4i0000000−4i4i0000000000000000000000000000000000000
χ524-44-4-4400-444-4−4i−4i4i4i00000004i−4i0000000000000000000000000000000000000
χ534-4-44004-400002i2−2i22i2−2i2004i−4i000002i2−2i2000000000000022−2200000000000000000000
χ544-4-44004-400002i2−2i22i2−2i200−4i4i000002i2−2i20000000000000−222200000000000000000000
χ554-4-44004-40000−2i22i2−2i22i2004i−4i00000−2i22i20000000000000−222200000000000000000000
χ564-4-44004-40000−2i22i2−2i22i200−4i4i00000−2i22i2000000000000022−2200000000000000000000
χ574-4-4400-4400002i2−2i22i2−2i24i−4i0000000−2i22i20000000000022−220000000000000000000000
χ584-4-4400-4400002i2−2i22i2−2i2−4i4i0000000−2i22i200000000000−22220000000000000000000000
χ594-4-4400-440000−2i22i2−2i22i24i−4i00000002i2−2i200000000000−22220000000000000000000000
χ604-4-4400-440000−2i22i2−2i22i2−4i4i00000002i2−2i20000000000022−220000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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