Finite Group Databasebeta

← Group #271908

Character table — Group #271908

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11112222222244444444444444444448888888888888888888888161616161616161616323232
order12222244444422224444444444488882244448888888888888888444444888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-1
χ4111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ511111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-11-1
χ611111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1111-11
χ711111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-11-1-11-1-11-11
χ811111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-111-11-1
χ9111111111111-1-111-1-1111-1-11-1-111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11
χ10111111111111-1-111-1-1111-1-11-1-111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1
χ11111111111111-1-111-1-1111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111-1
χ12111111111111-1-111-1-1111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-11
χ13111111111111-1-1-1-1-1-1-1-11-1-11-1-11111111-1-111-1-1-1-111111111-1-1-1-1-111-1111-1-11-1-1
χ14111111111111-1-1-1-1-1-1-1-11-1-11-1-11111111-1-111-1-1-1-11111-1-111-1-1-1-11-1-11-1-1-111-111
χ15111111111111-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-111-1-1111111-1-1-1-111-1-11111-111-1-1-11-1-1-111
χ16111111111111-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1111-1-1
χ1722222222-22-2222222222-2-2-2-2-2-2-2000022-2-2-2-20000000000000000000000000000
χ1822222222-22-2222-2-222-2-2-2-2-2-2-2-2-20000-2-222220000000000000000000000000000
χ1922222222-22-22-2-222-2-222-222-222-20000-2-2-2-2220000000000000000000000000000
χ2022222222-22-22-2-2-2-2-2-2-2-2-222-222-200002222-2-20000000000000000000000000000
χ212222-2-22-2222-2002200-2-2-200-2002222200-2200-2-222000000-2-20000000000000000
χ222222-2-22-2222-2002200-2-2-200-2002-2-2-2-200-220022-2-2000000220000000000000000
χ232222-2-22-2222-200-2-20022-200-20022222002-20022-2-2000000-2-20000000000000000
χ242222-2-22-2222-200-2-20022-200-2002-2-2-2-2002-200-2-222000000220000000000000000
χ252222-2-22-2-22-2-2002200-2-2200200-20000002-20000002i2i−2i−2i00002i2i−2i−2i000000000000
χ262222-2-22-2-22-2-2002200-2-2200200-20000002-2000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ272222-2-22-2-22-2-200-2-20022200200-2000000-220000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ282222-2-22-2-22-2-200-2-20022200200-2000000-22000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ292222-2-2-222-2222200-2-2002-2-2-222-200000000000000000022000000200-200-200000
χ302222-2-2-222-2222200-2-2002-2-2-222-2000000000000000000-2-2000000-200200200000
χ312222-2-2-222-222-2-2002200222-2-2-2-200000000000000000022000000-200200-200000
χ322222-2-2-222-222-2-2002200222-2-2-2-2000000000000000000-2-2000000200-200200000
χ332222-2-2-22-2-2-222200-2-200-2222-2-220000000000000000000000000002-200002-2000
χ342222-2-2-22-2-2-222200-2-200-2222-2-22000000000000000000000000000-220000-22000
χ352222-2-2-22-2-2-22-2-2002200-2-2-222220000000000000000000000000002-20000-22000
χ362222-2-2-22-2-2-22-2-2002200-2-2-22222000000000000000000000000000-2200002-2000
χ3722-2-22-2220-20-22-22-22-22-2000000022−2−22-200002−22−22−22−2002−22−22−2000000000000
χ3822-2-22-2220-20-22-22-22-22-20000000−2−2222-20000−22−22−22−2200−22−22−22000000000000
χ3922-2-22-2220-20-22-2-222-2-22000000022−2−2-220000−22−22−22−22002−22−22−2000000000000
χ4022-2-22-2220-20-22-2-222-2-220000000−2−222-2200002−22−22−22−200−22−22−22000000000000
χ4122-2-22-2220-20-2-222-2-222-2000000022−2−2-2200002−22−2−22−22002−2−22−22000000000000
χ4222-2-22-2220-20-2-222-2-222-20000000−2−222-220000−22−222−22−200−222−22−2000000000000
χ4322-2-22-2220-20-2-22-22-22-22000000022−2−22-20000−22−222−22−2002−2−22−22000000000000
χ4422-2-22-2220-20-2-22-22-22-220000000−2−2222-200002−22−2−22−2200−222−22−2000000000000
χ4522-2-2-222-20-202002-200-2202i−2i02i−2i022−2−200002i−2i−222−2i2−i2−i2i200−22i2−i2−i2i2000000000000
χ4622-2-2-222-20-202002-200-2202i−2i02i−2i0−2−22200002i−2i2−2−22−i2i2i2−i2002−2−i2i2i2−i2000000000000
χ4722-2-2-222-20-202002-200-220−2i2i0−2i2i022−2−20000−2i2i−222−2−i2i2i2−i200−22−i2i2i2−i2000000000000
χ4822-2-2-222-20-202002-200-220−2i2i0−2i2i0−2−2220000−2i2i2−2−22i2−i2−i2i2002−2i2−i2−i2i2000000000000
χ4922-2-2-222-20-20200-22002-202i−2i02i−2i022−2−20000−2i2i2−2−22−i2i2i2−i200−22i2−i2−i2i2000000000000
χ5022-2-2-222-20-20200-22002-202i−2i02i−2i0−2−2220000−2i2i−222−2i2−i2−i2i2002−2−i2i2i2−i2000000000000
χ5122-2-2-222-20-20200-22002-20−2i2i0−2i2i022−2−200002i−2i2−2−22i2−i2−i2i200−22−i2i2i2−i2000000000000
χ5222-2-2-222-20-20200-22002-20−2i2i0−2i2i0−2−22200002i−2i−222−2−i2i2i2−i2002−2i2−i2−i2i2000000000000
χ53444444-4-44-44-400000000-400400-400000000000000000000000000000000000000
χ54444444-4-4-4-4-4-400000000400-400400000000000000000000000000000000000000
χ5544-4-44-4-4-404040000000004i−4i0−4i4i000000000000000000000000000000000000000
χ5644-4-44-4-4-40404000000000−4i4i04i−4i000000000000000000000000000000000000000
χ5744-4-4-44-44040-44-400-4400000000000000000000000000000000000000000000000
χ5844-4-4-44-44040-4-44004-400000000000000000000000000000000000000000000000
χ594-4-44000040-400000000000000002i2−2i22i2−2i2000000000000002i2−2i200000000002-2000000
χ604-4-44000040-400000000000000002i2−2i22i2−2i200000000000000−2i22i20000000000-22000000
χ614-4-44000040-40000000000000000−2i22i2−2i22i2000000000000002i2−2i20000000000-22000000
χ624-4-44000040-40000000000000000−2i22i2−2i22i200000000000000−2i22i200000000002-2000000
χ638-88-8000000000000000000000004i−4i−4i4i0000000000000000000000000000000000
χ648-88-800000000000000000000000−4i4i4i−4i0000000000000000000000000000000000
χ658-8-880000-808000000000000000000000000000000000000000000000000000000

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