Finite Group Databasebeta

← Group #340473

Character table — Group #340473

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-11111-1-1-11-1
χ9111111111111111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-1-11111-1
χ172222222222-2-2-222-2-2-22222000022-2-2-2-2000000000000-2-20000000020000000000
χ182222222222-2-2-222-2-2-222220000-2-22222000000000000-2-200000000-20000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200002222-2-20000000000002200000000-20000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-2-2-222000000000000220000000020000000000
χ2122222222-2-2222-2-22-2-2000022220000002222-2-2-2-2000000000000000-2000000000
χ2222222222-2-2222-2-22-2-200002222000000-2-2-2-222-2-20000000000000002000000000
χ2322222222-2-2222-2-22-2-20000-2-2-2-200000022-2-22222000000000000000-2000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-2000000-2-222-2-2220000000000000002000000000
χ252-22-222-2-22-20002-20002i2i−2i−2ii2i2−i2−i2002i−2i2-2000000i2−i2i2i2−i2−i200000022−2−200002−200000
χ262-22-222-2-22-20002-20002i2i−2i−2ii2i2−i2−i200−2i2i-22000000i2−i2−i2−i2i2i200000022−2−20000−2200000
χ272-22-222-2-22-20002-20002i2i−2i−2i−i2−i2i2i2002i−2i2-2000000−i2i2−i2−i2i2i2000000−2−2220000−2200000
χ282-22-222-2-22-20002-20002i2i−2i−2i−i2−i2i2i200−2i2i-22000000−i2i2i2i2−i2−i2000000−2−22200002−200000
χ292-22-222-2-22-20002-2000−2i−2i2i2ii2i2−i2−i2002i−2i-22000000i2−i2−i2−i2i2i2000000−2−22200002−200000
χ302-22-222-2-22-20002-2000−2i−2i2i2ii2i2−i2−i200−2i2i2-2000000i2−i2i2i2−i2−i2000000−2−2220000−2200000
χ312-22-222-2-22-20002-2000−2i−2i2i2i−i2−i2i2i2002i−2i-22000000−i2i2i2i2−i2−i200000022−2−20000−2200000
χ322-22-222-2-22-20002-2000−2i−2i2i2i−i2−i2i2i200−2i2i2-2000000−i2i2−i2−i2i2i200000022−2−200002−200000
χ332-22-2-2-22222-22-2-2-22-2200000000000000000000002i−2i2i−2i002i2i−2i−2i0000002-20000000
χ342-22-2-2-22222-22-2-2-22-2200000000000000000000002i−2i2i−2i00−2i−2i2i2i000000-220000000
χ352-22-2-2-22222-22-2-2-22-220000000000000000000000−2i2i−2i2i002i2i−2i−2i000000-220000000
χ362-22-2-2-22222-22-2-2-22-220000000000000000000000−2i2i−2i2i00−2i−2i2i2i0000002-20000000
χ372-2-222-22-20022-200-2002−22−22i−2i2i−2i0000002i−2i2-2000000002−22−22−2i2−i2i2−i2000000i2−i2000
χ382-2-222-22-20022-200-2002−22−22i−2i2i−2i000000−2i2i-22000000002−2−22−22i2−i2i2−i2000000−i2i2000
χ392-2-222-22-20022-200-2002−22−2−2i2i−2i2i0000002i−2i-22000000002−2−22−22−i2i2−i2i2000000i2−i2000
χ402-2-222-22-20022-200-2002−22−2−2i2i−2i2i000000−2i2i2-2000000002−22−22−2−i2i2−i2i2000000−i2i2000
χ412-2-222-22-20022-200-200−22−222i−2i2i−2i0000002i−2i2-200000000−22−22−22−i2i2−i2i2000000−i2i2000
χ422-2-222-22-20022-200-200−22−222i−2i2i−2i000000−2i2i-2200000000−222−22−2−i2i2−i2i2000000i2−i2000
χ432-2-222-22-20022-200-200−22−22−2i2i−2i2i0000002i−2i-2200000000−222−22−2i2−i2i2−i2000000−i2i2000
χ442-2-222-22-20022-200-200−22−22−2i2i−2i2i000000−2i2i2-200000000−22−22−22i2−i2i2−i2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-44-4000-44000000000000000000000000022−22−2222000000000000000000000
χ474444-4-4-4-44-4000-440000000000000000000000000−222222−22000000000000000000000
χ484444-4-4-4-4-440004-4000000000004-40000000000000000000000000000000000000
χ494444-4-4-4-4-440004-400000000000-440000000000000000000000000000000000000
χ5044-4-44-4-4400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ5144-4-44-4-4400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ5244-4-44-4-440000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ5344-4-44-4-440000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ5444-4-4-444-4004-4-4004000000000000000000004i−4i000000000000000000000000000
χ5544-4-4-444-4004-4-400400000000000000000000−4i4i000000000000000000000000000
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
χ604-44-4-4-444444-44-4-4-44-400000000000000000000000000000000000000000000000
χ614-44-4-4-444-4-44-4444-4-4400000000000000000000000000000000000000000000000
χ624-44-4-4-444-4-4-44-44444-400000000000000000000000000000000000000000000000
χ634-4-444-44-400-4-440040022−2222−220000000000000000000000−22220000000000000000000
χ644-4-444-44-400-4-4400400−2222−2222000000000000000000000022−220000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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