Finite Group Databasebeta

← Group #324019

Character table — Group #324019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444442244444444888844448888888888888888888888888844884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11
χ611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11-11
χ91111111111111111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-11
χ101111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-111-1
χ111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1
χ121111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-111
χ17222222222-222-2-22-22222-2-2-2-2-2-2000022-2-200000000000000000000000000-22000000
χ18222222222-222-2-22-22222-2-2-2-2-2-20000-2-222000000000000000000000000002-2000000
χ19222222222-222-2-22-2-2-2-2-222-2-222000022-2-2000000000000000000000000002-2000000
χ20222222222-222-2-22-2-2-2-2-222-2-2220000-2-22200000000000000000000000000-22000000
χ2122222222-22-2-222-2222-2-222-2-2-2-2222200002200000000-2-2-2-200000000000000000000
χ2222222222-22-2-222-2222-2-222-2-2-2-2-2-2-2-20000-2-200000000222200000000000000000000
χ2322222222-22-2-222-22-2-222-2-2-2-22222220000-2-200000000-2-22200000000000000000000
χ2422222222-22-2-222-22-2-222-2-2-2-222-2-2-2-20000220000000022-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000002i2i−2i−2i00000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000−2i−2i2i2i0000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000002i2i−2i−2i0000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000−2i−2i2i2i00000000002i−2i0000
χ2922-22-22-2-20-2002-2022-2002-200002i2i−2i−2i00002i−2i22−2−222−2−200000000i2i2−i2−i2i2i2−i2−i200000000
χ3022-22-22-2-20-2002-2022-2002-200002i2i−2i−2i00002i−2i−2−222−2−22200000000−i2−i2i2i2−i2−i2i2i200000000
χ3122-22-22-2-20-2002-2022-2002-20000−2i−2i2i2i0000−2i2i22−2−222−2−200000000−i2−i2i2i2−i2−i2i2i200000000
χ3222-22-22-2-20-2002-2022-2002-20000−2i−2i2i2i0000−2i2i−2−222−2−22200000000i2i2−i2−i2i2i2−i2−i200000000
χ3322-22-22-2-20-2002-202-2200-2200002i2i−2i−2i0000−2i2i22−2−2−2−22200000000i2i2−i2−i2−i2−i2i2i200000000
χ3422-22-22-2-20-2002-202-2200-2200002i2i−2i−2i0000−2i2i−2−22222−2−200000000−i2−i2i2i2i2i2−i2−i200000000
χ3522-22-22-2-20-2002-202-2200-220000−2i−2i2i2i00002i−2i22−2−2−2−22200000000−i2−i2i2i2i2i2−i2−i200000000
χ3622-22-22-2-20-2002-202-2200-220000−2i−2i2i2i00002i−2i−2−22222−2−200000000i2i2−i2−i2−i2−i2i2i200000000
χ372-22-2-222-20-200220-2002i−2i00002i−2i2-22-20000002−22−2i2−i2i2−i2002i−2i00002−22−2i2−i2i2−i200000000
χ382-22-2-222-20-200220-2002i−2i00002i−2i2-22-2000000−22−22−i2i2−i2i2002i−2i0000−22−22−i2i2−i2i200000000
χ392-22-2-222-20-200220-2002i−2i00002i−2i-22-220000002−22−2i2−i2i2−i200−2i2i0000−22−22−i2i2−i2i200000000
χ402-22-2-222-20-200220-2002i−2i00002i−2i-22-22000000−22−22−i2i2−i2i200−2i2i00002−22−2i2−i2i2−i200000000
χ412-22-2-222-20-200220-200−2i2i0000−2i2i2-22-20000002−22−2−i2i2−i2i200−2i2i00002−22−2−i2i2−i2i200000000
χ422-22-2-222-20-200220-200−2i2i0000−2i2i2-22-2000000−22−22i2−i2i2−i200−2i2i0000−22−22i2−i2i2−i200000000
χ432-22-2-222-20-200220-200−2i2i0000−2i2i-22-220000002−22−2−i2i2−i2i2002i−2i0000−22−22i2−i2i2−i200000000
χ442-22-2-222-20-200220-200−2i2i0000−2i2i-22-22000000−22−22i2−i2i2−i2002i−2i00002−22−2−i2i2−i2i200000000
χ452-2-2-222-2222-2-22-22-20000002-2002i−2i−2i2i00000000002i−2i−2i2i2i−2i0000000000-222-200000000
χ462-2-2-222-2222-2-22-22-20000002-2002i−2i−2i2i0000000000−2i2i2i−2i2i−2i00000000002-2-2200000000
χ472-2-2-222-2222-2-22-22-20000002-200−2i2i2i−2i00000000002i−2i−2i2i−2i2i00000000002-2-2200000000
χ482-2-2-222-2222-2-22-22-20000002-200−2i2i2i−2i0000000000−2i2i2i−2i−2i2i0000000000-222-200000000
χ492-2-2-222-22-22222-2-2-2000000-22002i−2i−2i2i0000002-2-220000−2i2i0000002i−2i−2i2i000000000000
χ502-2-2-222-22-22222-2-2-2000000-22002i−2i−2i2i000000-222-20000−2i2i000000−2i2i2i−2i000000000000
χ512-2-2-222-22-22222-2-2-2000000-2200−2i2i2i−2i0000002-2-2200002i−2i000000−2i2i2i−2i000000000000
χ522-2-2-222-22-22222-2-2-2000000-2200−2i2i2i−2i000000-222-200002i−2i0000002i−2i−2i2i000000000000
χ5344-44-44-4-40400-440-44-400-440000000000000000000000000000000000000000000000
χ5444-44-44-4-40400-440-4-44004-40000000000000000000000000000000000000000000000
χ5544-4-44-44-4404-400-40000000000000004-4000000000000000000000000000000000000
χ5644-4-44-44-4404-400-4000000000000000-44000000000000000000000000000000000000
χ5744-4-44-44-4-40-44004000000000000000004i−4i0000000000000000000000000000000000
χ5844-4-44-44-4-40-4400400000000000000000−4i4i0000000000000000000000000000000000
χ594-4444-4-4-440-4400-400000000000000000000000000000000022−2222−220000000000000000
χ604-4444-4-4-440-4400-4000000000000000000000000000000000−2222−22220000000000000000
χ614-4444-4-4-4-404-40040000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ624-4444-4-4-4-404-4004000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ634-44-4-444-40400-4-404004i−4i0000−4i4i000000000000000000000000000000000000000000
χ644-44-4-444-40400-4-40400−4i4i00004i−4i000000000000000000000000000000000000000000
χ654-4-4-444-444-4-4-4-4444000000-4400000000000000000000000000000000000000000000
χ664-4-4-444-44-4-444-44-440000004-400000000000000000000000000000000000000000000
χ67888-8-8-8-88000000000000000000000000000000000000000000000000000000000000
χ688-8-88-8-888000000000000000000000000000000000000000000000000000000000000

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