Finite Group Databasebeta

← Group #281146

Character table — Group #281146

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888822444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ111111111111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-1111-1
χ17222222222-222-2-2-222222-2-200000000220000-2-2-2-222-2-2000000000000000000000000
χ18222222222-222-2-2-222222-2-200000000-2-20000-2-222-2-222000000000000000000000000
χ19222222222-222-2-2-22-2-2-2-2-2-20000000022000022-2-2-2-222000000000000000000000000
χ20222222222-222-2-2-22-2-2-2-2-2-200000000-2-20000222222-2-2000000000000000000000000
χ2122222222-22-2-2222-20000-2-22222-2-2-2-200222200000000000000000000-2-20000000000
χ2222222222-22-2-2222-20000-2-22222-2-2-2-200-2-2-2-200000000000000000000220000000000
χ2322222222-22-2-2222-20000-2-2-2-2-2-222220022-2-200000000000000000000-220000000000
χ2422222222-22-2-2222-20000-2-2-2-2-2-2222200-2-222000000000000000000002-20000000000
χ252222-2-2-2-2202-2000-222-2-20022−2−222−2−22-2000000002-20022−2−222−2−222−2−2000000000000
χ262222-2-2-2-2202-2000-222-2-20022−2−222−2−2-2200000000-220022−2−2−2−222−2−222000000000000
χ272222-2-2-2-2202-2000-222-2-200−2−222−2−2222-2000000002-200−2−222−2−222−2−222000000000000
χ282222-2-2-2-2202-2000-222-2-200−2−222−2−222-2200000000-2200−2−22222−2−222−2−2000000000000
χ292222-2-2-2-2202-2000-2-2-2220022−2−222−2−22-200000000-2200−2−22222−2−2−2−222000000000000
χ302222-2-2-2-2202-2000-2-2-2220022−2−222−2−2-22000000002-200−2−222−2−22222−2−2000000000000
χ312222-2-2-2-2202-2000-2-2-22200−2−222−2−2222-200000000-220022−2−2−2−22222−2−2000000000000
χ322222-2-2-2-2202-2000-2-2-22200−2−222−2−222-22000000002-20022−2−222−2−2−2−222000000000000
χ332-22-22-22-222-2-2-22-222i−2i2i−2i-22000000000000002i−2i00000000002i−2i2i−2i2-22-2000000000000
χ342-22-22-22-222-2-2-22-222i−2i2i−2i-22000000000000002i−2i0000000000−2i2i−2i2i-22-22000000000000
χ352-22-22-22-222-2-2-22-22−2i2i−2i2i-2200000000000000−2i2i00000000002i−2i2i−2i-22-22000000000000
χ362-22-22-22-222-2-2-22-22−2i2i−2i2i-2200000000000000−2i2i0000000000−2i2i−2i2i2-22-2000000000000
χ372-22-22-22-22-2-2-22-2222i−2i2i−2i2-22-22-22-22-2000000−2i2i0000002i−2i2i−2i00000000000000000000
χ382-22-22-22-22-2-2-22-2222i−2i2i−2i2-2-22-22-22-22000000−2i2i000000−2i2i−2i2i00000000000000000000
χ392-22-22-22-22-2-2-22-222−2i2i−2i2i2-22-22-22-22-20000002i−2i000000−2i2i−2i2i00000000000000000000
χ402-22-22-22-22-2-2-22-222−2i2i−2i2i2-2-22-22-22-220000002i−2i0000002i−2i2i−2i00000000000000000000
χ412-22-22-22-2-2-2222-22-20000-222-22-2-22-2200000000000000000000000000002i−2i2i−2i000000
χ422-22-22-22-2-2-2222-22-20000-222-22-2-22-220000000000000000000000000000−2i2i−2i2i000000
χ432-22-22-22-2-2-2222-22-20000-22-22-222-22-200000000000000000000000000002i−2i−2i2i000000
χ442-22-22-22-2-2-2222-22-20000-22-22-222-22-20000000000000000000000000000−2i2i2i−2i000000
χ452-22-2-22-2220-22000-22i−2i−2i2i002−2−222−2−22000000002i−2i002-2i2−i2−i2i2i2−i2−i2i22−2−22000000000000
χ462-22-2-22-2220-22000-22i−2i−2i2i002−2−222−2−2200000000−2i2i00-22i2−i2−i2i2−i2i2i2−i2−222−2000000000000
χ472-22-2-22-2220-22000-22i−2i−2i2i00−222−2−222−2000000002i−2i002-2−i2i2i2−i2−i2i2i2−i2−222−2000000000000
χ482-22-2-22-2220-22000-22i−2i−2i2i00−222−2−222−200000000−2i2i00-22−i2i2i2−i2i2−i2−i2i22−2−22000000000000
χ492-22-2-22-2220-22000-2−2i2i2i−2i002−2−222−2−22000000002i−2i00-22−i2i2i2−i2i2−i2−i2i2−222−2000000000000
χ502-22-2-22-2220-22000-2−2i2i2i−2i002−2−222−2−2200000000−2i2i002-2−i2i2i2−i2−i2i2i2−i22−2−22000000000000
χ512-22-2-22-2220-22000-2−2i2i2i−2i00−222−2−222−2000000002i−2i00-22i2−i2−i2i2−i2i2i2−i22−2−22000000000000
χ522-22-2-22-2220-22000-2−2i2i2i−2i00−222−2−222−200000000−2i2i002-2i2−i2−i2i2i2−i2−i2i2−222−2000000000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ544444-4-4-4-4-40-4400040000002222−22−22−22−22222200000000000000000000000000000000000000
χ554444-4-4-4-4-40-440004000000−22−2222222222−22−2200000000000000000000000000000000000000
χ5644-4-4-4-44404004-4-4000000000000000004i−4i0000000000000000000000000000000000
χ5744-4-4-4-44404004-4-400000000000000000−4i4i0000000000000000000000000000000000
χ5844-4-4-4-4440-400-4440000000000000000000000000000000000000000000000022−220000
χ5944-4-4-4-4440-400-44400000000000000000000000000000000000000000000000−22220000
χ604-44-44-44-4-4444-44-4-400004-40000000000000000000000000000000000000000000000
χ614-44-4-44-44-404-4000400000022−22−2222−222222−2200000000000000000000000000000000000000
χ624-44-4-44-44-404-40004000000−222222−2222−22−222200000000000000000000000000000000000000
χ634-4-44-444-40400-4-4400000000000000000000000000000000000000000000000002i2−2i200
χ644-4-44-444-40400-4-440000000000000000000000000000000000000000000000000−2i22i200
χ654-4-44-444-40-40044-400000000000000000004i−4i00000000000000000000000000000000
χ664-4-44-444-40-40044-40000000000000000000−4i4i00000000000000000000000000000000
χ6788-8-888-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8-888-8-88000000000000000000000000000000000000000000000000000000000000

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