Finite Group Databasebeta

← Group #340078

Character table — Group #340078

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11111-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-111
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-11-1
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-11
χ172222222222-2-22-22-2-2-2222200002200220000-2-2-2-200000000000000-20000000000
χ182222222222-2-22-22-2-2-222220000-2-200-2-2000022-2-20000000000000020000000000
χ192222222222-2-22-22-2-2-2-2-2-2-200002200-2-20000-2-2220000000000000020000000000
χ202222222222-2-22-22-2-2-2-2-2-2-20000-2-200220000222200000000000000-20000000000
χ2122222222-2-222-22-22-2-200002222002200-2-2-2-20000-2-200000000000002000000000
χ2222222222-2-222-22-22-2-20000222200-2-20022220000-2-20000000000000-2000000000
χ2322222222-2-222-22-22-2-20000-2-2-2-2002200-2-2220000220000000000000-2000000000
χ2422222222-2-222-22-22-2-20000-2-2-2-200-2-20022-2-200002200000000000002000000000
χ252-22-22-2-22002-2020-20022−2−22i2i−2i−2i0000002i−2i2-2002−2000000i2i2−i2−i2i2i2−i2−i20000002−2000
χ262-22-22-2-22002-2020-20022−2−22i2i−2i−2i000000−2i2i-22002−2000000−i2−i2i2i2i2i2−i2−i2000000−22000
χ272-22-22-2-22002-2020-20022−2−2−2i−2i2i2i0000002i−2i-22002−2000000i2i2−i2−i2−i2−i2i2i2000000−22000
χ282-22-22-2-22002-2020-20022−2−2−2i−2i2i2i000000−2i2i2-2002−2000000−i2−i2i2i2−i2−i2i2i20000002−2000
χ292-22-22-2-22002-2020-200−2−2222i2i−2i−2i0000002i−2i2-200−22000000−i2−i2i2i2−i2−i2i2i2000000−22000
χ302-22-22-2-22002-2020-200−2−2222i2i−2i−2i000000−2i2i-2200−22000000i2i2−i2−i2−i2−i2i2i20000002−2000
χ312-22-22-2-22002-2020-200−2−222−2i−2i2i2i0000002i−2i-2200−22000000−i2−i2i2i2i2i2−i2−i20000002−2000
χ322-22-22-2-22002-2020-200−2−222−2i−2i2i2i000000−2i2i2-200−22000000i2i2−i2−i2i2i2−i2−i2000000−22000
χ332-2-222-22-22-20020-20002i−2i2i−2i2−22−22-2002i−2i000000002−222−2−20000i2−i2i2−i20000i2−i200000
χ342-2-222-22-22-20020-20002i−2i2i−2i2−22−2-2200−2i2i000000002−2−2−2220000i2−i2i2−i20000−i2i200000
χ352-2-222-22-22-20020-20002i−2i2i−2i−22−222-2002i−2i00000000−22−2−2220000−i2i2−i2i20000−i2i200000
χ362-2-222-22-22-20020-20002i−2i2i−2i−22−22-2200−2i2i00000000−2222−2−20000−i2i2−i2i20000i2−i200000
χ372-2-222-22-22-20020-2000−2i2i−2i2i2−22−22-200−2i2i000000002−222−2−20000−i2i2−i2i20000−i2i200000
χ382-2-222-22-22-20020-2000−2i2i−2i2i2−22−2-22002i−2i000000002−2−2−2220000−i2i2−i2i20000i2−i200000
χ392-2-222-22-22-20020-2000−2i2i−2i2i−22−222-200−2i2i00000000−22−2−2220000i2−i2i2−i20000i2−i200000
χ402-2-222-22-22-20020-2000−2i2i−2i2i−22−22-22002i−2i00000000−2222−2−20000i2−i2i2−i20000−i2i200000
χ412-2-22-22-22-2-2-2-222222-20000000000000000000000002-22-22-22-20000002-20000000
χ422-2-22-22-22-2-2-2-222222-20000000000000000000000002-22-2-22-22000000-220000000
χ432-2-22-22-22-2-2-2-222222-2000000000000000000000000-22-222-22-2000000-220000000
χ442-2-22-22-22-2-2-2-222222-2000000000000000000000000-22-22-22-220000002-20000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-44-400-4040000000000000000000004i−4i000000000000000000000000000
χ474444-4-4-4-44-400-404000000000000000000000−4i4i000000000000000000000000000
χ484444-4-4-4-4-440040-400000000000000000000000000022−22−22220000000000000000000
χ494444-4-4-4-4-440040-4000000000000000000000000000−222222−220000000000000000000
χ5044-4-444-4-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ5144-4-444-4-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ5244-4-444-4-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ5344-4-444-4-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ5444-4-4-4-444004-40-4040000000000004-400000000000000000000000000000000000
χ5544-4-4-4-444004-40-404000000000000-4400000000000000000000000000000000000
χ5644-4-4-4-44400-44040-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5744-4-4-4-44400-44040-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ584-44-44-4-4400-440-404002222−22−220000000000000000−22220000000000000000000000000
χ594-44-44-4-4400-440-40400−22−222222000000000000000022−220000000000000000000000000
χ604-4-444-44-4-4400-404000000022−2222−2200000000000000−222200000000000000000000000
χ614-4-444-44-4-4400-4040000000−2222−22220000000000000022−2200000000000000000000000
χ624-4-44-44-444444-4-4-4-44-400000000000000000000000000000000000000000000000
χ634-4-44-44-4444-4-4-44-44-4400000000000000000000000000000000000000000000000
χ644-4-44-44-44-4-4444-44-4-4400000000000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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