Finite Group Databasebeta

← Group #282821

Character table — Group #282821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11-111-1-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111111111-1-1-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111111-1-1-11111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-11111-1-111-1
χ172222222222-2-22-2-22-22222-2000000-2-200002200-2-20000220000-200000000000000
χ182222222222-2-22-2-22-22222-2000000-2-20000-2-200220000-2-20000200000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000002200002200220000-2-20000-200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000000220000-2-200-2-20000220000200000000000000
χ2122222222-2-222-222-2-20000-222222200-2-2-2-200-2-2000000000000020000000000000
χ2222222222-2-222-222-2-20000-22222-2-200222200-2-20000000000000-20000000000000
χ2322222222-2-222-222-2-20000-2-2-2-2-2220022-2-200220000000000000-20000000000000
χ2422222222-2-222-222-2-20000-2-2-2-2-2-2-200-2-2220022000000000000020000000000000
χ252-22-22-2-222222-2-2-2-2-22i2i−2i−2i20000002i−2i000000000000000000000000002-2002i−2i000
χ262-22-22-2-222222-2-2-2-2-22i2i−2i−2i20000002i−2i00000000000000000000000000-2200−2i2i000
χ272-22-22-2-222222-2-2-2-2-2−2i−2i2i2i2000000−2i2i000000000000000000000000002-200−2i2i000
χ282-22-22-2-222222-2-2-2-2-2−2i−2i2i2i2000000−2i2i00000000000000000000000000-22002i−2i000
χ292-22-22-2-2222-2-2-222-222i2i−2i−2i-200002-2−2i2i002-20000000000000000002i−2i00000000000
χ302-22-22-2-2222-2-2-222-222i2i−2i−2i-20000-22−2i2i00-22000000000000000000−2i2i00000000000
χ312-22-22-2-2222-2-2-222-22−2i−2i2i2i-200002-22i−2i002-2000000000000000000−2i2i00000000000
χ322-22-22-2-2222-2-2-222-22−2i−2i2i2i-20000-222i−2i00-220000000000000000002i−2i00000000000
χ332-22-22-2-22-2-2-2-22222-20000200002-20000-2200000022-2-200000000002-2000000000
χ342-22-22-2-22-2-2-2-22222-20000200002-20000-22000000-2-2220000000000-22000000000
χ352-22-22-2-22-2-2-2-22222-2000020000-2200002-200000022-2-20000000000-22000000000
χ362-22-22-2-22-2-2-2-22222-2000020000-2200002-2000000-2-22200000000002-2000000000
χ372-2-2-2-22222-200-200202-22-2022−2−2000000002-22−2002−22−22-222−2−2000000002−200000
χ382-2-2-2-22222-200-200202-22-2022−2−200000000-222−2002−22−2-22−2−22200000000−2200000
χ392-2-2-2-22222-200-200202-22-20−2−222000000002-2−2200−22−222-2−2−22200000000−2200000
χ402-2-2-2-22222-200-200202-22-20−2−22200000000-22−2200−22−22-2222−2−2000000002−200000
χ412-2-2-2-22222-200-20020-22-22022−2−2000000002-22−200−22−22-22−2−222000000002−200000
χ422-2-2-2-22222-200-20020-22-22022−2−200000000-222−200−22−222-222−2−200000000−2200000
χ432-2-2-2-22222-200-20020-22-220−2−222000000002-2−22002−22−2-2222−2−200000000−2200000
χ442-2-2-2-22222-200-20020-22-220−2−22200000000-22−22002−22−22-2−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-4004-404-40000000000000000000000000000000000000000000000022−220
χ47444-4-4-44-4004-404-400000000000000000000000000000000000000000000000−22220
χ48444-4-4-44-400-440-440000000000000004-4000000000000000000000000000000000
χ49444-4-4-44-400-440-44000000000000000-44000000000000000000000000000000000
χ5044-44-4-4-444-400400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ5144-44-4-4-444-400400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ5244-44-4-4-44-4400-400400000000000000000000000022−22−2222000000000000000000000
χ5344-44-4-4-44-4400-4004000000000000000000000000−222222−22000000000000000000000
χ5444-4-444-4-40000000000000022−2222−2200000000000022−220000002-22-2000000000000000
χ5544-4-444-4-40000000000000022−2222−22000000000000−2222000000-22-22000000000000000
χ5644-4-444-4-400000000000000−2222−222200000000000022−22000000-22-22000000000000000
χ5744-4-444-4-400000000000000−2222−2222000000000000−22220000002-22-2000000000000000
χ584-444-44-4-4004-40-4400000004-4-44000000000000000000000000000000000000000
χ594-444-44-4-4004-40-440000000-444-4000000000000000000000000000000000000000
χ604-444-44-4-400-4404-4000000000000000000000000000000022−22−2222000000000000000
χ614-444-44-4-400-4404-40000000000000000000000000000000−222222−22000000000000000
χ624-44-44-4-44-4-4444-4-4440000-40000000000000000000000000000000000000000000
χ634-4-4-4-4444-4400400-40000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-4-4444-4400400-4000000−22−222222000000000022−22000000000000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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