Finite Group Databasebeta

← Group #270188

Character table — Group #270188

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1111
χ51111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-111111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1111-1-11111-1
χ911111111111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-11
χ1011111111111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-1-111-1-111-1
χ1111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111111-1-1-11111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-111111-1-11111-1-1-1
χ172222222222-2-2-222-2-20000-2222222220000-2-200-2-2000000000000000-2000000000
χ182222222222-2-2-222-2-20000-22222-2-2-2-200002200-2-20000000000000002000000000
χ192222222222-2-2-222-2-20000-2-2-2-2-222-2-20000-2-200220000000000000002000000000
χ202222222222-2-2-222-2-20000-2-2-2-2-2-2-2220000220022000000000000000-2000000000
χ2122222222-2-2222-2-22-22222-20000000022-2-200-2-2000000220000-200000000000000
χ2222222222-2-2222-2-22-22222-200000000-2-2-2-20022000000-2-20000200000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-20000000022220022000000-2-20000-200000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-200000000-2-22200-2-2000000220000200000000000000
χ252-22-2-22-22222-22-2-2-2222-2-2-200000000002-2000000000000000002i−2i0000000002i−2i0
χ262-22-2-22-22222-22-2-2-2222-2-2-200000000002-200000000000000000−2i2i000000000−2i2i0
χ272-22-2-22-22222-22-2-2-22-2-222-20000000000-22000000000000000002i−2i000000000−2i2i0
χ282-22-2-22-22222-22-2-2-22-2-222-20000000000-2200000000000000000−2i2i0000000002i−2i0
χ292-22-2-22-22-2-22-2222-2-222-2-2200002-20000-222-2000000000000000002-20000000000
χ302-22-2-22-22-2-22-2222-2-222-2-220000-220000-22-2200000000000000000-220000000000
χ312-22-2-22-22-2-22-2222-2-2-2-222200002-200002-22-200000000000000000-220000000000
χ322-22-2-22-22-2-22-2222-2-2-2-22220000-2200002-2-22000000000000000002-20000000000
χ332-22-2-22-22-2-2-22-222220000-200002-2000000-22000022-2-20000000000002-20000000
χ342-22-2-22-22-2-2-22-222220000-200002-2000000-220000-2-222000000000000-220000000
χ352-22-2-22-22-2-2-22-222220000-20000-220000002-2000022-2-2000000000000-220000000
χ362-22-2-22-22-2-2-22-222220000-20000-220000002-20000-2-2220000000000002-20000000
χ372-2-22-2-22200-2-2200202-22-2022−2−200002-20000002−22−22−22-222−2−200000000002−2000
χ382-2-22-2-22200-2-2200202-22-2022−2−20000-220000002−22−22−2-22−2−2220000000000−22000
χ392-2-22-2-22200-2-2200202-22-20−2−22200002-2000000−22−22−222-2−2−2220000000000−22000
χ402-2-22-2-22200-2-2200202-22-20−2−2220000-22000000−22−22−22-2222−2−200000000002−2000
χ412-2-22-2-22200-2-220020-22-22022−2−200002-20000002−2−22−22-22−2−22200000000002−2000
χ422-2-22-2-22200-2-220020-22-22022−2−20000-220000002−2−22−222-222−2−20000000000−22000
χ432-2-22-2-22200-2-220020-22-220−2−22200002-2000000−222−22−2-2222−2−20000000000−22000
χ442-2-22-2-22200-2-220020-22-220−2−2220000-22000000−222−22−22-2−2−22200000000002−2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-44-40004-400000000000004-400000000000000000000000000000000000
χ47444-4-4-44-44-40004-40000000000000-4400000000000000000000000000000000000
χ48444-4-4-44-4-44000-44000000000000000000000000000000000000000000022−2200000
χ49444-4-4-44-4-44000-440000000000000000000000000000000000000000000−222200000
χ5044-44-44-4-40000000000000022−2222−22000000000022−22000000002-22-2000000000000000
χ5144-44-44-4-40000000000000022−2222−220000000000−222200000000-22-22000000000000000
χ5244-44-44-4-400000000000000−2222−2222000000000022−2200000000-22-22000000000000000
χ5344-44-44-4-400000000000000−2222−22220000000000−2222000000002-22-2000000000000000
χ5444-4-44-4-44004-4-400400000000000000000000000022−22−2222000000000000000000000
χ5544-4-44-4-44004-4-4004000000000000000000000000−222222−22000000000000000000000
χ5644-4-44-4-4400-44400-404-4-4400000000000000000000000000000000000000000000
χ5744-4-44-4-4400-44400-40-444-400000000000000000000000000000000000000000000
χ584-4444-4-4-44-4000-44000000000000000000000000000000022−22−2222000000000000000
χ594-4444-4-4-44-4000-440000000000000000000000000000000−222222−22000000000000000
χ604-4444-4-4-4-440004-400000004-4-44000000000000000000000000000000000000000
χ614-4444-4-4-4-440004-40000000-444-4000000000000000000000000000000000000000
χ624-44-4-44-4444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ634-4-44-4-4440044-400-40000002222−22−22000000000000−22220000000000000000000000000
χ644-4-44-4-4440044-400-4000000−22−22222200000000000022−220000000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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