Finite Group Databasebeta

← Group #490992

Character table — Group #490992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order1222444444888888882444888888888888888888884444888816161616161616162444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ6111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ7111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ8111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1-11
χ101111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-111-1
χ111111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-111-1
χ121111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-1-11
χ131111-1-1111111-1-1-1-111-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1
χ141111-1-1111111-1-1-1-111-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111
χ151111-1-1111111-1-1-1-111-1-1-1111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111
χ161111-1-1111111-1-1-1-111-1-1-1111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ172222222222-2-22222-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000
χ192222222-2-2200222200-2-22-2000000-2-2-2-22200000000000000002−22−22−22−20000
χ202222222-2-2200222200-2-22-2000000-2-2-2-2220000000000000000−22−22−22−220000
χ212222222-2-2200-2-2-2-200-2-22-20000002222-2-200000000000000002−22−2−22−220000
χ222222222-2-2200-2-2-2-200-2-22-20000002222-2-20000000000000000−22−222−22−20000
χ23222222-222-222000022-22-2-2-2-222-2-2000000000000002-22-20000000000000000
χ24222222-222-222000022-22-2-2-2-222-2-200000000000000-22-220000000000000000
χ25222222-222-2-2-20000-2-2-22-2-222-2-2220000000000000000002i−2i2i−2i000000000000
χ26222222-222-2-2-20000-2-2-22-2-222-2-222000000000000000000−2i2i−2i2i000000000000
χ272222-2-22222-2-22222-2-2-2-2-22-2-22222-2-222-2-2-2-2-2-2222200000000000000000000
χ282222-2-22222-2-2-2-2-2-2-2-2-2-2-22-2-2222222-2-2222222-2-2-2-200000000000000000000
χ292222-2-22-2-220022220022-2-200000022-2-2-2-200000000000000002−2−222−2−220000
χ302222-2-22-2-220022220022-2-200000022-2-2-2-20000000000000000−222−2−222−20000
χ312222-2-22-2-2200-2-2-2-20022-2-2000000-2-2222200000000000000002−2−22−222−20000
χ322222-2-22-2-2200-2-2-2-20022-2-2000000-2-222220000000000000000−222−22−2−220000
χ332222-2-2-222-2220000222-22-2-2-2-2-222000000000000002-2-220000000000000000
χ342222-2-2-222-2220000222-22-2-2-2-2-22200000000000000-222-20000000000000000
χ352222-2-2-222-2-2-20000-2-22-22-22222-2-20000000000000000002i−2i−2i2i000000000000
χ362222-2-2-222-2-2-20000-2-22-22-22222-2-2000000000000000000−2i2i2i−2i000000000000
χ37444444-4-4-4-4000000004-4-440000000000000000000000000000000000000000
χ384444-4-4-4-4-4-400000000-44440000000000000000000000000000000000000000
χ3944-4-400400-422−22000022−22000022−2200004-4000000002222−22−2200000000000000000000
χ4044-4-400400-422−22000022−22000022−220000-4400000000−22−22222200000000000000000000
χ4144-4-400400-4−22220000−22220000−222200004-400000000−22−22222200000000000000000000
χ4244-4-400400-4−22220000−22220000−22220000-44000000002222−22−2200000000000000000000
χ4344-4-400-400422−224i4i−4i−4i22−220000−222200000000002i22i2−2i2−2i2000000000000000000000000
χ4444-4-400-400422−22−4i−4i4i4i22−220000−22220000000000−2i2−2i22i22i2000000000000000000000000
χ4544-4-400-4004−22224i4i−4i−4i−2222000022−220000000000−2i2−2i22i22i2000000000000000000000000
χ4644-4-400-4004−2222−4i−4i4i4i−2222000022−2200000000002i22i2−2i2−2i2000000000000000000000000
χ474-44-40004-400022−2222−2200000000004i−4i0022−220000002i2−2i22i2−2i200000000000000000000
χ484-44-40004-400022−2222−220000000000−4i4i0022−22000000−2i22i2−2i22i200000000000000000000
χ494-44-40004-4000−2222−222200000000004i−4i00−2222000000−2i22i2−2i22i200000000000000000000
χ504-44-40004-4000−2222−22220000000000−4i4i00−22220000002i2−2i22i2−2i200000000000000000000
χ514-44-4000-4404422−2222−22-4-4000000000000−22220022−2222−22000000000000000000000000
χ524-44-4000-44044−2222−2222-4-400000000000022−2200−2222−2222000000000000000000000000
χ534-44-4000-440-4-422−2222−2244000000000000−222200−2222−2222000000000000000000000000
χ544-44-4000-440-4-4−2222−22224400000000000022−220022−2222−22000000000000000000000000
χ554-4-444-4000022−222i2−2i2−2i22i2−222200000022−220000002i2−2i22i−2i−2i2i2i−2i−2i2i00000000000000000000
χ564-4-444-4000022−22−2i22i22i2−2i2−222200000022−22000000−2i22i2−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ574-4-444-40000−22222i2−2i2−2i22i222−22000000−22220000002i2−2i2−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ584-4-444-40000−2222−2i22i22i2−2i222−22000000−2222000000−2i22i22i−2i−2i2i2i−2i−2i2i00000000000000000000
χ594-4-44-44000022−222i2−2i2−2i22i2−2222000000−2222000000−2i22i22i−2i−2i2i−2i2i2i−2i00000000000000000000
χ604-4-44-44000022−22−2i22i22i2−2i2−2222000000−22220000002i2−2i2−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ614-4-44-440000−22222i2−2i2−2i22i222−2200000022−22000000−2i22i2−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ624-4-44-440000−2222−2i22i22i2−2i222−2200000022−220000002i2−2i22i−2i−2i2i−2i2i2i−2i00000000000000000000

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