Finite Group Databasebeta

← Group #288798

Character table — Group #288798

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444488888888888822444444444488888888888888888844884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-11-1
χ61111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11
χ71111111111111111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11
χ81111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1
χ9111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-11-1-11
χ17222222222-2-22-222-2-2-20000222200002222-2-200-2-200-2-2000000000000000000000000
χ18222222222-2-22-222-2-2-2000022220000-2-2-2-222002200-2-2000000000000000000000000
χ19222222222-2-22-222-2-2-20000-2-2-2-2000022-2-2-2-200220022000000000000000000000000
χ20222222222-2-22-222-2-2-20000-2-2-2-20000-2-2222200-2-20022000000000000000000000000
χ2122222222-222-22-2-22-2-222220000-2-2-2-20000002200-2-20000000000000000002-2000000
χ2222222222-222-22-2-22-2-222220000-2-2-2-2000000-2-20022000000000000000000-22000000
χ2322222222-222-22-2-22-2-2-2-2-2-2000022220000002200-2-2000000000000000000-22000000
χ2422222222-222-22-2-22-2-2-2-2-2-200002222000000-2-200220000000000000000002-2000000
χ252222-2-2-2-220020-2-200022−2−222-2-222−2−22-22-20000000000000022−2−222−2−222−2−200000000
χ262222-2-2-2-220020-2-200022−2−222-2-222−2−2-22-2200000000000000−2−222−2−22222−2−200000000
χ272222-2-2-2-220020-2-200022−2−2-2-22222−2−22-2-220000000000000022−2−2−2−222−2−22200000000
χ282222-2-2-2-220020-2-200022−2−2-2-22222−2−2-222-200000000000000−2−22222−2−2−2−22200000000
χ292222-2-2-2-220020-2-2000−2−22222-2-2−2−2222-22-200000000000000−2−222−2−222−2−22200000000
χ302222-2-2-2-220020-2-2000−2−22222-2-2−2−222-22-220000000000000022−2−222−2−2−2−22200000000
χ312222-2-2-2-220020-2-2000−2−222-2-222−2−2222-2-2200000000000000−2−22222−2−222−2−200000000
χ322222-2-2-2-220020-2-2000−2−222-2-222−2−222-222-20000000000000022−2−2−2−22222−2−200000000
χ332-2-222-2-22222-2-22-2-2-222i−2i2i−2i00002i−2i2i−2i000000000000002i2i−2i−2i000000000000002-20000
χ342-2-222-2-22222-2-22-2-2-222i−2i2i−2i00002i−2i2i−2i00000000000000−2i−2i2i2i00000000000000-220000
χ352-2-222-2-22222-2-22-2-2-22−2i2i−2i2i0000−2i2i−2i2i000000000000002i2i−2i−2i00000000000000-220000
χ362-2-222-2-22222-2-22-2-2-22−2i2i−2i2i0000−2i2i−2i2i00000000000000−2i−2i2i2i000000000000002-20000
χ372-2-222-2-22-2222-2-22-22-22i−2i2i−2i2-22-2−2i2i−2i2i0000000000002-20000000000002i−2i2i−2i00000000
χ382-2-222-2-22-2222-2-22-22-22i−2i2i−2i-22-22−2i2i−2i2i000000000000-22000000000000−2i2i−2i2i00000000
χ392-2-222-2-22-2222-2-22-22-2−2i2i−2i2i2-22-22i−2i2i−2i0000000000002-2000000000000−2i2i−2i2i00000000
χ402-2-222-2-22-2222-2-22-22-2−2i2i−2i2i-22-222i−2i2i−2i000000000000-220000000000002i−2i2i−2i00000000
χ412-2-222-2-22-2-2-222-222-2200002-22-20000000000000000-2200002-22-22-22-2000000000000
χ422-2-222-2-22-2-2-222-222-2200002-22-20000000000000000-220000-22-22-22-22000000000000
χ432-2-222-2-22-2-2-222-222-220000-22-2200000000000000002-200002-22-2-22-22000000000000
χ442-2-222-2-22-2-2-222-222-220000-22-2200000000000000002-20000-22-222-22-2000000000000
χ452-2-22-222-2-200202-2000i2−i2−i2i22-2-22−i2i2i2−i200002i−2i002i−2i000000002−2−222−2−22i2−i2−i2i200000000
χ462-2-22-222-2-200202-2000i2−i2−i2i22-2-22−i2i2i2−i20000−2i2i00−2i2i00000000−222−2−222−2i2−i2−i2i200000000
χ472-2-22-222-2-200202-2000i2−i2−i2i2-222-2−i2i2i2−i200002i−2i00−2i2i000000002−2−22−222−2−i2i2i2−i200000000
χ482-2-22-222-2-200202-2000i2−i2−i2i2-222-2−i2i2i2−i20000−2i2i002i−2i00000000−222−22−2−22−i2i2i2−i200000000
χ492-2-22-222-2-200202-2000−i2i2i2−i22-2-22i2−i2−i2i200002i−2i002i−2i00000000−222−2−222−2−i2i2i2−i200000000
χ502-2-22-222-2-200202-2000−i2i2i2−i22-2-22i2−i2−i2i20000−2i2i00−2i2i000000002−2−222−2−22−i2i2i2−i200000000
χ512-2-22-222-2-200202-2000−i2i2i2−i2-222-2i2−i2−i2i200002i−2i00−2i2i00000000−222−22−2−22i2−i2−i2i200000000
χ522-2-22-222-2-200202-2000−i2i2i2−i2-222-2i2−i2−i2i20000−2i2i002i−2i000000002−2−22−222−2i2−i2−i2i200000000
χ5344444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-400-40440002222−22−220000−22−22222200000000000000000000000000000000000000
χ554444-4-4-4-4-400-4044000−22−22222200002222−22−2200000000000000000000000000000000000000
χ5644-4-444-4-404-40400-4000000000000000000000000000022−2222−2200000000000000000000
χ5744-4-444-4-404-40400-40000000000000000000000000000−2222−222200000000000000000000
χ5844-4-444-4-40-440-40040000000000000000000000004i−4i00000000000000000000000000
χ5944-4-444-4-40-440-4004000000000000000000000000−4i4i00000000000000000000000000
χ604-44-44-44-404-40-400400000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ614-44-44-44-404-40-40040000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ624-44-44-44-40-440400-4000000000000000000004-4000000000000000000000000000000
χ634-44-44-44-40-440400-400000000000000000000-44000000000000000000000000000000
χ644-4-444-4-444-4-4-444-444-400000000000000000000000000000000000000000000000000
χ654-4-44-444-4400-40-440002i2−2i2−2i22i200002i2−2i2−2i22i200000000000000000000000000000000000000
χ664-4-44-444-4400-40-44000−2i22i22i2−2i20000−2i22i22i2−2i200000000000000000000000000000000000000
χ6788-8-8-8-888000000000000000000000000000000000000000000000000000000000000
χ688-88-8-88-88000000000000000000000000000000000000000000000000000000000000

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