Finite Group Databasebeta

← Group #344171

Character table — Group #344171

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1-111-1-1-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-11
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-11
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-11111111-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-11-1-1111-1-1-1-1-1-1111-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111111111-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-111111-1-111-1-111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11-1-11-1-1-1-11111-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1111-11111-1-111-1-1-1-1
χ17222222222-2-22-222-2-2-222220000-2-2-2-2000000000000000022-2-20-22000000000000000
χ18222222222-2-22-222-2-2-222220000-2-2-2-20000000000000000-2-22202-2000000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-200002222000000000000000022220-2-2000000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000022220000000000000000-2-2-2-2022000000000000000
χ2122222222-222-22-2-22-2-2000022220000-2-2-2-20000000022-2-2000020000-2000000000000
χ2222222222-222-22-2-22-2-2000022220000-2-2-2-200000000-2-2220000-200002000000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-2000022220000000022220000-20000-2000000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-20000222200000000-2-2-2-20000200002000000000000
χ252-222-2-22-22-2-2-222-222-200000000000000002i2i2i2i−2i−2i−2i−2i000000000002i−2i02-20000000000
χ262-222-2-22-22-2-2-222-222-200000000000000002i2i2i2i−2i−2i−2i−2i00000000000−2i2i0-220000000000
χ272-222-2-22-22-2-2-222-222-20000000000000000−2i−2i−2i−2i2i2i2i2i000000000002i−2i0-220000000000
χ282-222-2-22-22-2-2-222-222-20000000000000000−2i−2i−2i−2i2i2i2i2i00000000000−2i2i02-20000000000
χ292-2-2222-2-2200-20-220000000i2i2−i2−i222-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i0000000000002−22−200
χ302-2-2222-2-2200-20-220000000i2i2−i2−i222-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i000000000000−22−2200
χ312-2-2222-2-2200-20-220000000i2i2−i2−i2-2-222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002i−2i−2i2i0000000000002−2−2200
χ322-2-2222-2-2200-20-220000000i2i2−i2−i2-2-222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000−2i2i2i−2i000000000000−222−200
χ332-2-2222-2-2200-20-220000000−i2−i2i2i222-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i000000000000−22−2200
χ342-2-2222-2-2200-20-220000000−i2−i2i2i222-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i0000000000002−22−200
χ352-2-2222-2-2200-20-220000000−i2−i2i2i2-2-222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002i−2i−2i2i000000000000−222−200
χ362-2-2222-2-2200-20-220000000−i2−i2i2i2-2-222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000−2i2i2i−2i0000000000002−2−2200
χ372-2-2-22-22202-20200-20022−2−200002−22−22i−2i2i−2ii2−i2i2−i2i2−i2i2−i22i−2i2-2000000000000i2−i22−2000000
χ382-2-2-22-22202-20200-20022−2−200002−22−22i−2i2i−2ii2−i2i2−i2i2−i2i2−i2−2i2i-22000000000000−i2i2−22000000
χ392-2-2-22-22202-20200-20022−2−200002−22−2−2i2i−2i2i−i2i2−i2i2−i2i2−i2i22i−2i-22000000000000i2−i2−22000000
χ402-2-2-22-22202-20200-20022−2−200002−22−2−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2−2i2i2-2000000000000−i2i22−2000000
χ412-2-2-22-22202-20200-200−2−2220000−22−222i−2i2i−2i−i2i2−i2i2−i2i2−i2i22i−2i2-2000000000000−i2i2−22000000
χ422-2-2-22-22202-20200-200−2−2220000−22−222i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−2i2i-22000000000000i2−i22−2000000
χ432-2-2-22-22202-20200-200−2−2220000−22−22−2i2i−2i2ii2−i2i2−i2i2−i2i2−i22i−2i-22000000000000−i2i22−2000000
χ442-2-2-22-22202-20200-200−2−2220000−22−22−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−2i2i2-2000000000000i2−i2−22000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-44-4-4-400000000000000000022−22−222222−22−22222-2-222-2-2200000000000000000000000000
χ47444-44-4-4-400000000000000000022−22−2222−222222−22-222-2-222-200000000000000000000000000
χ48444-44-4-4-4000000000000000000−222222−2222−22−2222-222-2-222-200000000000000000000000000
χ49444-44-4-4-4000000000000000000−222222−22−222222−222-2-222-2-2200000000000000000000000000
χ5044-44-4-4-4440040-4-400000000000000000002222−22−22−22−22222200000000000000000000000000
χ5144-44-4-4-4440040-4-40000000000000000000−22−2222222222−22−2200000000000000000000000000
χ5244-44-4-4-44-400-40440004i−4i4i−4i0000000000000000000000000000000000000000000000
χ5344-44-4-4-44-400-4044000−4i4i−4i4i0000000000000000000000000000000000000000000000
χ5444-4-4-444-404-40-40040000004i−4i4i−4i000000000000000000000000000000000000000000
χ5544-4-4-444-404-40-4004000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5644-4-4-444-40-440400-400000000000000000022−2222−22−2222−222200000000000000000000000000
χ5744-4-4-444-40-440400-4000000000000000000−2222−222222−2222−2200000000000000000000000000
χ584-444-4-44-4444-4-44-4-4-4400000000000000000000000000000000000000000000000000
χ594-444-4-44-4-4444-4-44-44-400000000000000000000000000000000000000000000000000
χ604-444-4-44-4-4-4-444-444-4400000000000000000000000000000000000000000000000000
χ614-44-4-44-4400000000002i2−2i2−2i22i222−22−2222000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ624-44-4-44-4400000000002i2−2i2−2i22i2−222222−2200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ634-44-4-44-440000000000−2i22i22i2−2i222−22−222200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ644-44-4-44-440000000000−2i22i22i2−2i2−222222−22000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ654-4-4444-4-4-400404-400000002i22i2−2i2−2i20000−2i2−2i22i22i20000000000000000000000000000000000
χ664-4-4444-4-4-400404-40000000−2i2−2i22i22i200002i22i2−2i2−2i20000000000000000000000000000000000
χ674-4-4-44-4440-440-4004002222−22−220000−2222−222200000000000000000000000000000000000000
χ684-4-4-44-4440-440-400400−22−222222000022−2222−2200000000000000000000000000000000000000

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