Finite Group Databasebeta

← Group #314121

Character table — Group #314121

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-1-1-111-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-11111-1-1-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11111111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-1-1-1-1-111111-1
χ17222222222-22-22-22-2-2-200002222-2-200-2-20000220000-2-2000000000000000000
χ18222222222-22-22-22-2-2-2000022-2-2-2-200220000-2-2000022000000000000000000
χ19222222222-22-22-22-2-2-20000-2-2222200-2-20000-2-2000022000000000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-22200220000220000-2-2000000000000000000
χ2122222222-22-22-22-22-2-22222000000220022-2-200000000000000-2-20000000000
χ2222222222-22-22-22-22-2-22222000000-2-200-2-2-2-200000000000000220000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000002200-2-222000000000000002-20000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2000000-2-200222200000000000000-220000000000
χ252-22-2-222-222-2-222-2-2-222i2i−2i−2i2-2002-20000002i−2i000000000000000000002i−2i0000
χ262-22-2-222-222-2-222-2-2-222i2i−2i−2i-2200-220000002i−2i00000000000000000000−2i2i0000
χ272-22-2-222-222-2-222-2-2-22−2i−2i2i2i2-2002-2000000−2i2i00000000000000000000−2i2i0000
χ282-22-2-222-222-2-222-2-2-22−2i−2i2i2i-2200-22000000−2i2i000000000000000000002i−2i0000
χ292-22-2-222-22-2-222-2-222-200002-200-2200000000002i2i−2i−2i002i2i−2i−2i00000000000000
χ302-22-2-222-22-2-222-2-222-200002-200-220000000000−2i−2i2i2i00−2i−2i2i2i00000000000000
χ312-22-2-222-22-2-222-2-222-20000-22002-200000000002i2i−2i−2i00−2i−2i2i2i00000000000000
χ322-22-2-222-22-2-222-2-222-20000-22002-20000000000−2i−2i2i2i002i2i−2i−2i00000000000000
χ332-22-2-222-2-222-2-222-22-22i2i−2i−2i000000000000−2i2i0000000000002-2002i−2i00000000
χ342-22-2-222-2-222-2-222-22-22i2i−2i−2i000000000000−2i2i000000000000-2200−2i2i00000000
χ352-22-2-222-2-222-2-222-22-2−2i−2i2i2i0000000000002i−2i0000000000002-200−2i2i00000000
χ362-22-2-222-2-222-2-222-22-2−2i−2i2i2i0000000000002i−2i000000000000-22002i−2i00000000
χ372-2-22-2-2220-20-20202002-22-20000002-2002-2002−200002−22−22−20000002−2002−200
χ382-2-22-2-2220-20-20202002-22-20000002-2002-200−220000−22−22−22000000−2200−2200
χ392-2-22-2-2220-20-20202002-22-2000000-2200-22002−200002−22−22−2000000−2200−2200
χ402-2-22-2-2220-20-20202002-22-2000000-2200-2200−220000−22−22−220000002−2002−200
χ412-2-22-2-2220-20-2020200-22-220000002-200-22002−200002−2−22−220000002−200−2200
χ422-2-22-2-2220-20-2020200-22-220000002-200-2200−220000−222−22−2000000−22002−200
χ432-2-22-2-2220-20-2020200-22-22000000-22002-2002−200002−2−22−22000000−22002−200
χ442-2-22-2-2220-20-2020200-22-22000000-22002-200−220000−222−22−20000002−200−2200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ464444-4-4-4-440-40-4040000000000000000000000022−2222−2200000000000000000000
χ474444-4-4-4-440-40-40400000000000000000000000−2222−222200000000000000000000
χ484444-4-4-4-4-404040-40000000004-4000000000000000000000000000000000000
χ494444-4-4-4-4-404040-4000000000-44000000000000000000000000000000000000
χ5044-4-44-44-4040-40-40400000000000000000000000000002i2−2i2−2i22i200000000000000
χ5144-4-44-44-4040-40-4040000000000000000000000000000−2i22i22i2−2i200000000000000
χ5244-4-44-44-40-404040-4004i−4i−4i4i0000000000000000000000000000000000000000
χ5344-4-44-44-40-404040-400−4i4i4i−4i0000000000000000000000000000000000000000
χ544-44-44-4-444040-40-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ554-44-44-4-444040-40-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ564-44-44-4-44-40-404040000000000000004-4000000000000000000000000000000
χ574-44-44-4-44-40-40404000000000000000-44000000000000000000000000000000
χ584-44-4-444-4-4-444-4-444-4400000000000000000000000000000000000000000000
χ594-4-44-4-44404040-40-40000000000000000000022−220000−2222000000000000000000
χ604-4-44-4-44404040-40-400000000000000000000−2222000022−22000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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