Finite Group Databasebeta

← Group #423175

Character table — Group #423175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222222888888888888888888888888888816161616161616161616161616161616
order12222222224444444422444444444444448888888888884444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ9111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1
χ10111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ172222222222-2-2-2-2-2-2-2-200000000000022-2-200002i2i−2i−2i0000000000000000002i−2i
χ182222222222-2-2-2-2-2-2-2-200000000000022-2-20000−2i−2i2i2i000000000000000000−2i2i
χ192222222222-2-2-2-2-2-2-2-2000000000000-2-22200002i2i−2i−2i000000000000000000−2i2i
χ202222222222-2-2-2-2-2-2-2-2000000000000-2-2220000−2i−2i2i2i0000000000000000002i−2i
χ21222222-2-2-2-22-2-2222-2-2000000002i2i−2i−2i00002i2i−2i−2i000000002-200000000000000
χ22222222-2-2-2-22-2-2222-2-2000000002i2i−2i−2i0000−2i−2i2i2i00000000-2200000000000000
χ23222222-2-2-2-22-2-2222-2-200000000−2i−2i2i2i00002i2i−2i−2i00000000-2200000000000000
χ24222222-2-2-2-22-2-2222-2-200000000−2i−2i2i2i0000−2i−2i2i2i000000002-200000000000000
χ252222-2-22-2-22-22-222-2-2222-2-222-2-2000000000000000000000000000000002-200
χ262222-2-22-2-22-22-222-2-2222-2-2-2-22200000000000000000000000000000000-2200
χ272222-2-22-2-22-22-222-2-22-2-22222-2-200000000000000000000000000000000-2200
χ282222-2-22-2-22-22-222-2-22-2-222-2-222000000000000000000000000000000002-200
χ292-2-222-222-2-22-222-2-2-2200002-22-20000000000002i−2i2i−2i00000000002i−2i00000000
χ302-2-222-222-2-22-222-2-2-2200002-22-2000000000000−2i2i−2i2i0000000000−2i2i00000000
χ312-2-222-222-2-22-222-2-2-220000-22-220000000000002i−2i2i−2i0000000000−2i2i00000000
χ322-2-222-222-2-22-222-2-2-220000-22-22000000000000−2i2i−2i2i00000000002i−2i00000000
χ332-2-222-222-2-2-22-2-2222-2000000002i−2i2i−2i000000002-2-220000000000002i−2i000000
χ342-2-222-222-2-2-22-2-2222-2000000002i−2i2i−2i00000000-222-2000000000000−2i2i000000
χ352-2-222-222-2-2-22-2-2222-200000000−2i2i−2i2i000000002-2-22000000000000−2i2i000000
χ362-2-222-222-2-2-22-2-2222-200000000−2i2i−2i2i00000000-222-20000000000002i−2i000000
χ372-2-222-2-2-222-2-22-222-222-22-200002-2-2200000000000022-2-20000000000000000
χ382-2-222-2-2-222-2-22-222-222-22-20000-222-2000000000000-2-2220000000000000000
χ392-2-222-2-2-222-2-22-222-22-22-2200002-2-22000000000000-2-2220000000000000000
χ402-2-222-2-2-222-2-22-222-22-22-220000-222-200000000000022-2-20000000000000000
χ412-2-22-222-22-2-2-2-22-222200002-2-22000000002-22-20000000000002-20000000000
χ422-2-22-222-22-2-2-2-22-222200002-2-2200000000-22-22000000000000-220000000000
χ432-2-22-222-22-2-2-2-22-22220000-222-2000000002-22-2000000000000-220000000000
χ442-2-22-222-22-2-2-2-22-22220000-222-200000000-22-220000000000002-20000000000
χ452-2-22-22-22-222-2-2-22-2222-2-22000000002-22-2000000000000002-2000000000000
χ462-2-22-22-22-222-2-2-22-2222-2-2200000000-22-2200000000000000-22000000000000
χ472-2-22-22-22-222-2-2-22-222-222-2000000002-22-200000000000000-22000000000000
χ482-2-22-22-22-222-2-2-22-222-222-200000000-22-22000000000000002-2000000000000
χ492-2-22-22-22-22-2222-22-2-20000000000002-2-222i−2i−2i2i0000000000000000002i−2i0000
χ502-2-22-22-22-22-2222-22-2-20000000000002-2-22−2i2i2i−2i000000000000000000−2i2i0000
χ512-2-22-22-22-22-2222-22-2-2000000000000-222-22i−2i−2i2i000000000000000000−2i2i0000
χ522-2-22-22-22-22-2222-22-2-2000000000000-222-2−2i2i2i−2i0000000000000000002i−2i0000
χ53444444-4-4-4-4-444-4-4-44400000000000000000000000000000000000000000000
χ544444-4-44-4-444-44-4-444-400000000000000000000000000000000000000000000
χ554444-4-4-444-444-4-4-44-4400000000000000000000000000000000000000000000
χ564444-4-4-444-4-4-4444-44-400000000000000000000000000000000000000000000
χ574-4-444-4-4-44444-44-4-44-400000000000000000000000000000000000000000000
χ584-4-44-444-44-4444-44-4-4-400000000000000000000000000000000000000000000
χ5988-8-80000000000000000000000000000000000000022−2222−220000000000000000
χ6088-8-800000000000000000000000000000000000000−2222−22220000000000000000
χ618-88-80000000000000000000000000000000000000022−22−22220000000000000000
χ628-88-800000000000000000000000000000000000000−222222−220000000000000000

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