Finite Group Databasebeta

← Group #421069

Character table — Group #421069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222222244448888888888888888888888161616161616161616161616161616161616
order12222222224444444444442222224444444488888888244444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111
χ172222222222-2-2-2-2-2-2-2-22222-2-200000000000000002i2i−2i−2i000000002i−2i00000000
χ182222222222-2-2-2-2-2-2-2-22222-2-20000000000000000−2i−2i2i2i00000000−2i2i00000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000002i2i−2i−2i00000000−2i2i00000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000−2i−2i2i2i000000002i−2i00000000
χ2122222-2-2-22-22-222-2-2-220000000000000022-2-222-2-200002-20000000000000000
χ2222222-2-2-22-22-222-2-2-220000000000000022-2-2-2-2220000-220000000000000000
χ2322222-2-2-22-22-222-2-2-2200000000000000-2-22222-2-20000-220000000000000000
χ2422222-2-2-22-22-222-2-2-2200000000000000-2-222-2-22200002-20000000000000000
χ252222-22-2-2-222-2-2-222-2200000022-2-222-2-20000000000000000002-20000000000
χ262222-22-2-2-222-2-2-222-2200000022-2-2-2-222000000000000000000-220000000000
χ272222-22-2-2-222-2-2-222-22000000-2-22222-2-2000000000000000000-220000000000
χ282222-22-2-2-222-2-2-222-22000000-2-222-2-2220000000000000000002-20000000000
χ292-2-22222-2-2-22-22-22-22-200000000002i−2i2i−2i2-22-2000000000000000000002i−2i0000
χ302-2-22222-2-2-22-22-22-22-200000000002i−2i2i−2i-22-2200000000000000000000−2i2i0000
χ312-2-22222-2-2-22-22-22-22-20000000000−2i2i−2i2i2-22-200000000000000000000−2i2i0000
χ322-2-22222-2-2-22-22-22-22-20000000000−2i2i−2i2i-22-22000000000000000000002i−2i0000
χ332-2-222-2-22-22222-2-22-2-2000000000000002-2-2200002i−2i2i−2i00000000000000002i−2i
χ342-2-222-2-22-22222-2-22-2-2000000000000002-2-220000−2i2i−2i2i0000000000000000−2i2i
χ352-2-222-2-22-22222-2-22-2-200000000000000-222-200002i−2i2i−2i0000000000000000−2i2i
χ362-2-222-2-22-22222-2-22-2-200000000000000-222-20000−2i2i−2i2i00000000000000002i−2i
χ372-2-222-2-22-22-2-2-222-2220000002-22-20000000000002-2-2200000000002-2000000
χ382-2-222-2-22-22-2-2-222-2220000002-22-2000000000000-222-20000000000-22000000
χ392-2-222-2-22-22-2-2-222-222000000-22-220000000000002-2-220000000000-22000000
χ402-2-222-2-22-22-2-2-222-222000000-22-22000000000000-222-200000000002-2000000
χ412-2-22-22-222-222-222-2-2-222-2-22-200002i−2i−2i2i000000000000002i−2i00000000000000
χ422-2-22-22-222-222-222-2-2-222-2-22-20000−2i2i2i−2i00000000000000−2i2i00000000000000
χ432-2-22-22-222-222-222-2-2-2-2-222-2200002i−2i−2i2i00000000000000−2i2i00000000000000
χ442-2-22-22-222-222-222-2-2-2-2-222-220000−2i2i2i−2i000000000000002i−2i00000000000000
χ452-2-22-22-222-2-2-22-2-222222-2-2-220000000000002-22-20000000000000000002-200
χ462-2-22-22-222-2-2-22-2-222222-2-2-22000000000000-22-22000000000000000000-2200
χ472-2-22-22-222-2-2-22-2-2222-2-2222-20000000000002-22-2000000000000000000-2200
χ482-2-22-22-222-2-2-22-2-2222-2-2222-2000000000000-22-220000000000000000002-200
χ492-2-22-2-22-222-222-22-2-220000002-2-22000000002-2-22000000002-2000000000000
χ502-2-22-2-22-222-222-22-2-220000002-2-2200000000-222-200000000-22000000000000
χ512-2-22-2-22-222-222-22-2-22000000-222-2000000002-2-2200000000-22000000000000
χ522-2-22-2-22-222-222-22-2-22000000-222-200000000-222-2000000002-2000000000000
χ5344444-4-4-44-4-44-4-4444-400000000000000000000000000000000000000000000
χ544444-44-4-4-44-4444-4-44-400000000000000000000000000000000000000000000
χ554444-4-444-4-444-4-4-4-44400000000000000000000000000000000000000000000
χ564444-4-444-4-4-4-44444-4-400000000000000000000000000000000000000000000
χ574-4-44444-4-4-4-44-44-44-4400000000000000000000000000000000000000000000
χ584-4-44-4-44-4444-4-44-444-400000000000000000000000000000000000000000000
χ5988-8-8000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ6088-8-800000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ618-88-8000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ628-88-800000000000000−4i4i4i−4i0000000000000000000000000000000000000000

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