Finite Group Databasebeta

← Group #429960

Character table — Group #429960

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222222244448888888888888888888888161616161616161616161616161616161616
order12222222222222222244444444444444444444444444222444444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1
χ51111111111111111111111-1-1-1-1111111-1-1-1-111111111-11-1-11-1-1-111-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-11-1-11-1-1-1-111-1-111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-111
χ9111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-1-1-11111-1-111111111-1-1-1-11111-111-111-1-1-1-1-1-1-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-11111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11-11111-1-1-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-111-111111-1-111-1-1-1-1
χ1722222222-2-222-2-2-2-2-2-2000000000000002i2i−2i−2i00002i2i−2i−2i00200-2000000000000
χ1822222222-2-222-2-2-2-2-2-2000000000000002i2i−2i−2i0000−2i−2i2i2i00-2002000000000000
χ1922222222-2-222-2-2-2-2-2-200000000000000−2i−2i2i2i00002i2i−2i−2i00-2002000000000000
χ2022222222-2-222-2-2-2-2-2-200000000000000−2i−2i2i2i0000−2i−2i2i2i00200-2000000000000
χ21222222-2-222-2-222-2-2-2-200000000002i2i−2i−2i000000002i−2i2i−2i0200-20000000000000
χ22222222-2-222-2-222-2-2-2-200000000002i2i−2i−2i00000000−2i2i−2i2i0-20020000000000000
χ23222222-2-222-2-222-2-2-2-20000000000−2i−2i2i2i000000002i−2i2i−2i0-20020000000000000
χ24222222-2-222-2-222-2-2-2-20000000000−2i−2i2i2i00000000−2i2i−2i2i0200-20000000000000
χ25222222-2-2-2-2-2-2-2-22222000022-2-2000000000000002-2-2200000000000000002-2
χ26222222-2-2-2-2-2-2-2-22222000022-2-200000000000000-222-20000000000000000-22
χ27222222-2-2-2-2-2-2-2-222220000-2-222000000000000002-2-220000000000000000-22
χ28222222-2-2-2-2-2-2-2-222220000-2-22200000000000000-222-200000000000000002-2
χ292222-2-22-22-22-22-22-2-2200002-22-2000000000022-2-20000200-200000000000000
χ302222-2-22-22-22-22-22-2-2200002-22-20000000000-2-2220000-200200000000000000
χ312222-2-22-22-22-22-22-2-220000-22-22000000000022-2-20000-200200000000000000
χ322222-2-22-22-22-22-22-2-220000-22-220000000000-2-2220000200-200000000000000
χ332222-2-2-22-22-22-222-2-2222222-2-22-2-200000000000000000000002-20000000000
χ342222-2-2-22-22-22-222-2-222222-222-2-2-20000000000000000000000-220000000000
χ352222-2-2-22-22-22-222-2-22-2-2-2-22-2-22220000000000000000000000-220000000000
χ362222-2-2-22-22-22-222-2-22-2-2-2-2-222-22200000000000000000000002-20000000000
χ372-2-222-2222-2-2-2-2222-2-200000000002i−2i2i−2i00002i−2i2i−2i00000000000000002-20000
χ382-2-222-2222-2-2-2-2222-2-200000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000-220000
χ392-2-222-2222-2-2-2-2222-2-20000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000-220000
χ402-2-222-2222-2-2-2-2222-2-20000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000002-20000
χ412-2-222-2-2-22-222-22-2-22222-2-200002-22-2-22000000000000000000002-200000000
χ422-2-222-2-2-22-222-22-2-22222-2-200002-2-222-200000000000000000000-2200000000
χ432-2-222-2-2-22-222-22-2-222-2-2220000-222-2-2200000000000000000000-2200000000
χ442-2-222-2-2-22-222-22-2-222-2-2220000-22-222-2000000000000000000002-200000000
χ452-2-22-222-222-22-2-22-22-2000000000000002i−2i2i−2i2i−2i−2i2i0000000000000000002-200
χ462-2-22-222-222-22-2-22-22-2000000000000002i−2i2i−2i−2i2i2i−2i000000000000000000-2200
χ472-2-22-222-222-22-2-22-22-200000000000000−2i2i−2i2i2i−2i−2i2i000000000000000000-2200
χ482-2-22-222-222-22-2-22-22-200000000000000−2i2i−2i2i−2i2i2i−2i0000000000000000002-200
χ492-2-22-222-2-2-2-2222-22-2222-2-20000-2200002-2-220000000000000000002-2000000
χ502-2-22-222-2-2-2-2222-22-2222-2-20000-220000-222-2000000000000000000-22000000
χ512-2-22-222-2-2-2-2222-22-22-2-22200002-200002-2-22000000000000000000-22000000
χ522-2-22-222-2-2-2-2222-22-22-2-22200002-20000-222-20000000000000000002-2000000
χ534444-4-44-4-444-4-44-444-400000000000000000000000000000000000000000000
χ544444-4-4-444-4-444-4-444-400000000000000000000000000000000000000000000
χ554-4-444-444-44-4-44-4-4-44400000000000000000000000000000000000000000000
χ564-4-444-4-4-4-44444-444-4-400000000000000000000000000000000000000000000
χ574-4-44-44-44444-4-4-4-44-4400000000000000000000000000000000000000000000
χ584-4-44-44-44-4-44-4444-44-400000000000000000000000000000000000000000000
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).