Finite Group Databasebeta

← Group #489294

Character table — Group #489294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12224444444488882444444888824444488888161616161616161622444488881616161644
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-11-1-11111-111-1111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-11111-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-11111-1-1-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111-1-1-1-111111111-1111-1-1-1-1-111-1111-1-1-111-1-11111-1-1-1-111-11-1-111-1-111-1-11-1
χ101111-1-1-1-111111111-1111-1-1-1-1-111-1111-1-1-111-1-1-1-1-1-1111111-11-1-1-1-111-1-111-11
χ111111-1-1-1-111111111-1111-1-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-11
χ121111-1-1-1-111111111-1111-1-1-1-1-111-1-1-1111-111-1-1-1-1-1-11111-1-11-11111-1-1-1-1111-1
χ131111-1-1-1-111111111-11-1-1-111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-111-11
χ141111-1-1-1-111111111-11-1-1-111-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ151111-1-1-1-111111111-11-1-1-111-1-1111-1-1-111-1-1-1111111-1-1-1-1111-1-1-1-1-111-1-1111-1
χ161111-1-1-1-111111111-11-1-1-111-1-1111-1-1-111-1-1-111-1-1-1-11111111-1-1-111-1-111-1-1-11
χ17222222222222-2-2-2-22222222-2-2-2-2200200-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-222-2-22-2-2-2-2-2-2-200-200-22222000000000000000000000000
χ192222222222-2-22222-2-200-20022-2-2022022-200000000000000-2-2000000000000
χ202222222222-2-22222-2-200-20022-2-20-2-20-2-2-20000000000000022000000000000
χ212222222222-2-2-2-2-2-2-2-200-200-2-22200000020000000000002-2002-20000000000
χ222222222222-2-2-2-2-2-2-2-200-200-2-2220000002000000000000-2200-220000000000
χ23222222-2-2-2-2220000-2-2222-2-20000200-2000000022−2−222−2−200000000002−22−200
χ24222222-2-2-2-2220000-2-2222-2-20000200-20000000−2−222−2−2220000000000−22−2200
χ25222222-2-2-2-2220000-2-2-2-22220000-2002000000022−2−222−2−20000000000−22−2200
χ26222222-2-2-2-2220000-2-2-2-22220000-20020000000−2−222−2−22200000000002−22−200
χ272222-2-222-2-22200002-222-2220000-200-2000000022−2−2−2−22200000000002−2−2200
χ282222-2-222-2-22200002-222-2220000-200-20000000−2−22222−2−20000000000−222−200
χ292222-2-222-2-22200002-2-2-2-2-2-200002002000000022−2−2−2−2220000000000−222−200
χ302222-2-222-2-22200002-2-2-2-2-2-2000020020000000−2−22222−2−200000000002−2−2200
χ312222-2-2-2-22222-2-2-2-2-2222-2-2-222-2-2-2002002-2-222000000000000000000000000
χ322222-2-2-2-22222-2-2-2-2-22-2-2-22222-2-2200-200222-2-2000000000000000000000000
χ332222-2-2-2-222-2-222222-200200-2-2-2-20220-2-22000000000000002-2000000000000
χ342222-2-2-2-222-2-222222-200200-2-2-2-20-2-2022200000000000000-22000000000000
χ352222-2-2-2-222-2-2-2-2-2-22-2002002222000000-20000000000002-200-220000000000
χ362222-2-2-2-222-2-2-2-2-2-22-2002002222000000-2000000000000-22002-20000000000
χ372-22-22i−2i2i−2i2-20022-2-200000002i−2i0002i−2i02-200000i2−i2i2−i22−22−20000002−2i2−i2000000
χ382-22-22i−2i2i−2i2-20022-2-200000002i−2i0002i−2i02-200000−i2i2−i2i2−22−22000000−22−i2i2000000
χ392-22-22i−2i2i−2i2-20022-2-200000002i−2i000−2i2i0-2200000i2−i2i2−i22−22−2000000−22−i2i2000000
χ402-22-22i−2i2i−2i2-20022-2-200000002i−2i000−2i2i0-2200000−i2i2−i2i2−22−220000002−2i2−i2000000
χ412-22-2−2i2i−2i2i2-20022-2-20000000−2i2i0002i−2i0-2200000i2−i2i2−i2−22−220000002−2−i2i2000000
χ422-22-2−2i2i−2i2i2-20022-2-20000000−2i2i0002i−2i0-2200000−i2i2−i2i22−22−2000000−22i2−i2000000
χ432-22-2−2i2i−2i2i2-20022-2-20000000−2i2i000−2i2i02-200000i2−i2i2−i2−22−22000000−22i2−i2000000
χ442-22-2−2i2i−2i2i2-20022-2-20000000−2i2i000−2i2i02-200000−i2i2−i2i22−22−20000002−2−i2i2000000
χ45444444-4-4-4-4-4-400004400-400000000000000000000000000000000000000000
χ464444-4-444-4-4-4-40000-4400400000000000000000000000000000000000000000
χ474-44-44i−4i4i−4i4-400-4-4440000000−4i4i0000000000000000000000000000000000000
χ484-44-44i−4i−4i4i-4400000000000000000000000000002i−2i−2i2i2-2-220000000000000000
χ494-44-44i−4i−4i4i-440000000000000000000000000000−2i2i2i−2i-222-20000000000000000
χ504-44-4−4i4i4i−4i-4400000000000000000000000000002i−2i−2i2i-222-20000000000000000
χ514-44-4−4i4i4i−4i-440000000000000000000000000000−2i2i2i−2i2-2-220000000000000000
χ524-44-4−4i4i−4i4i4-400-4-44400000004i−4i0000000000000000000000000000000000000
χ534-4-440000004-422−2222−22000004i−4i0022−220000000002i2−2i2000000000000000000000000
χ544-4-440000004-422−2222−2200000−4i4i0022−22000000000−2i22i2000000000000000000000000
χ554-4-440000004-4−2222−2222000004i−4i00−2222000000000−2i22i2000000000000000000000000
χ564-4-440000004-4−2222−222200000−4i4i00−22220000000002i2−2i2000000000000000000000000
χ574-4-44000000-4422−2222−22004i−4i00000−222200000002i2−2i200000000000000000000000000
χ584-4-44000000-4422−2222−2200−4i4i00000−22220000000−2i22i200000000000000000000000000
χ594-4-44000000-44−2222−2222004i−4i0000022−220000000−2i22i200000000000000000000000000
χ604-4-44000000-44−2222−222200−4i4i0000022−2200000002i2−2i200000000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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