Finite Group Databasebeta

← Group #335643

Character table — Group #335643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-111
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-111-111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ9111111111111111111-1-1-1-1111111-1-11111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ172222222222-2-2-222-2-2-22222000022220000-2-20000-2-2000000000000000-20000000
χ182222222222-2-2-222-2-2-222220000-2-2-2-20000220000-2-200000000000000020000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000022-2-20000-2-200002200000000000000020000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-222000022000022000000000000000-20000000
χ2122222222-2-2222-2-22-2-200002222000022-2-200-2-2-2-20000000000000020000000000
χ2222222222-2-2222-2-22-2-2000022220000-2-2220022-2-200000000000000-20000000000
χ2322222222-2-2222-2-22-2-20000-2-2-2-20000222200-2-22200000000000000-20000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-20000-2-2-2-20022220000000000000020000000000
χ252-22-222-2-22-20002-200022-2-2i2i2−i2−i22-22-200000000i2−i200i2i2−i2−i20000i2i2−i2−i20000i2−i200000
χ262-22-222-2-22-20002-200022-2-2i2i2−i2−i2-22-2200000000i2−i200−i2−i2i2i20000i2i2−i2−i20000−i2i200000
χ272-22-222-2-22-20002-200022-2-2−i2−i2i2i22-22-200000000−i2i200−i2−i2i2i20000−i2−i2i2i20000−i2i200000
χ282-22-222-2-22-20002-200022-2-2−i2−i2i2i2-22-2200000000−i2i200i2i2−i2−i20000−i2−i2i2i20000i2−i200000
χ292-22-222-2-22-20002-2000-2-222i2i2−i2−i22-2-2200000000i2−i200i2i2−i2−i20000−i2−i2i2i20000−i2i200000
χ302-22-222-2-22-20002-2000-2-222i2i2−i2−i2-222-200000000i2−i200−i2−i2i2i20000−i2−i2i2i20000i2−i200000
χ312-22-222-2-22-20002-2000-2-222−i2−i2i2i22-2-2200000000−i2i200−i2−i2i2i20000i2i2−i2−i20000i2−i200000
χ322-22-222-2-22-20002-2000-2-222−i2−i2i2i2-222-200000000−i2i200i2i2−i2−i20000i2i2−i2−i20000−i2i200000
χ332-22-2-2-2220022-200-2002−22−22i−2i2i−2i0000002i−2i002-2002−2000022−2−2i2−i2i2−i2000000i2−i2000
χ342-22-2-2-2220022-200-2002−22−22i−2i2i−2i000000−2i2i00-22002−20000−2−222i2−i2i2−i2000000−i2i2000
χ352-22-2-2-2220022-200-2002−22−2−2i2i−2i2i0000002i−2i00-22002−20000−2−222−i2i2−i2i2000000i2−i2000
χ362-22-2-2-2220022-200-2002−22−2−2i2i−2i2i000000−2i2i002-2002−2000022−2−2−i2i2−i2i2000000−i2i2000
χ372-22-2-2-2220022-200-200−22−222i−2i2i−2i0000002i−2i002-200−220000−2−222−i2i2−i2i2000000−i2i2000
χ382-22-2-2-2220022-200-200−22−222i−2i2i−2i000000−2i2i00-2200−22000022−2−2−i2i2−i2i2000000i2−i2000
χ392-22-2-2-2220022-200-200−22−22−2i2i−2i2i0000002i−2i00-2200−22000022−2−2i2−i2i2−i2000000−i2i2000
χ402-22-2-2-2220022-200-200−22−22−2i2i−2i2i000000−2i2i002-200−220000−2−222i2−i2i2−i2000000i2−i2000
χ412-2-222-22-222-22-2-2-22-220000000000000000000000002-22-22i−2i2i−2i000002i−2i00000000
χ422-2-222-22-222-22-2-2-22-220000000000000000000000002-22-2−2i2i−2i2i00000−2i2i00000000
χ432-2-222-22-222-22-2-2-22-22000000000000000000000000-22-222i−2i2i−2i00000−2i2i00000000
χ442-2-222-22-222-22-2-2-22-22000000000000000000000000-22-22−2i2i−2i2i000002i−2i00000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ474444-4-4-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ484444-4-4-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ494444-4-4-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ5044-4-44-4-444-4000-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5144-4-44-4-444-4000-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5244-4-44-4-44-440004-400000000000000000004i−4i00000000000000000000000000000
χ5344-4-44-4-44-440004-40000000000000000000−4i4i00000000000000000000000000000
χ5444-4-4-444-4004-4-4004000000000000004i−4i000000000000000000000000000000000
χ5544-4-4-444-4004-4-400400000000000000−4i4i000000000000000000000000000000000
χ5644-4-4-444-400-44400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5744-4-4-444-400-44400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ584-44-444-4-4-44000-4400000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ594-44-444-4-4-44000-440000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ604-44-4-4-44400-4-440040022−2222−22000000000000000000−222200000000000000000000000
χ614-44-4-4-44400-4-4400400−2222−222200000000000000000022−2200000000000000000000000
χ624-4-444-44-4444-44-4-4-44-400000000000000000000000000000000000000000000000
χ634-4-444-44-4-4-44-4444-4-4400000000000000000000000000000000000000000000000
χ644-4-444-44-4-4-4-44-44444-400000000000000000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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