Finite Group Databasebeta

← Group #394113

Character table — Group #394113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111222222222222224444444488888888888888888888888888881616161616161616161616161616
order12222222224444444422224444222222222244444488888888888824444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111
χ511111111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1-1-11-1-11-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-111
χ17222222-2-2-2-22-2-222-2-2222-2-222-2-20000002-222002-2-2-200000000000000000000000000
χ18222222-2-2-2-22-2-222-2-2222-2-222-2-2000000-22-2-200-222200000000000000000000000000
χ19222222-2-2-2-22-2-222-2-22-2-222-2-2220000002-2-2-2002-22200000000000000000000000000
χ20222222-2-2-2-22-2-222-2-22-2-222-2-222000000-222200-22-2-200000000000000000000000000
χ212222-2-22-22-222-2-2-22-22000000000000222-200-2-2-22000000000022-2-200000000000000
χ222222-2-22-22-222-2-2-22-2200000000000022-2200-2-22-20000000000-2-22200000000000000
χ232222-2-22-22-222-2-2-22-22000000000000-2-22-20022-220000000000-2-22200000000000000
χ242222-2-22-22-222-2-2-22-22000000000000-2-2-2200222-2000000000022-2-200000000000000
χ252222-2-22-22-2-2-2222-22-22222-2-2-2-2000000000000000000000000000002-2000002-20000
χ262222-2-22-22-2-2-2222-22-22222-2-2-2-200000000000000000000000000000-2200000-220000
χ272222-2-22-22-2-2-2222-22-2-2-2-2-22222000000000000000000000000000002-200000-220000
χ282222-2-22-22-2-2-2222-22-2-2-2-2-2222200000000000000000000000000000-22000002-20000
χ292222-2-2-22-222-22-2-2-2220000000022-2-200220000-2-200000022-2-2000000000000000000
χ302222-2-2-22-222-22-2-2-2220000000022-2-200-2-2000022000000-2-222000000000000000000
χ312222-2-2-22-222-22-2-2-22200000000-2-22200220000-2-2000000-2-222000000000000000000
χ322222-2-2-22-222-22-2-2-22200000000-2-22200-2-200002200000022-2-2000000000000000000
χ332222-2-2-22-22-22-2222-2-222-2-2-2-2220000000000000000000000000000200-2000000002-2
χ342222-2-2-22-22-22-2222-2-222-2-2-2-2220000000000000000000000000000-200200000000-22
χ352222-2-2-22-22-22-2222-2-2-2-22222-2-20000000000000000000000000000200-200000000-22
χ362222-2-2-22-22-22-2222-2-2-2-22222-2-20000000000000000000000000000-2002000000002-2
χ372-2-222-222-2-22222-2-2-2-22-22-22-22-200000000000000002i2i−2i−2i0000000000002i−2i00000000
χ382-2-222-222-2-22222-2-2-2-22-22-22-22-20000000000000000−2i−2i2i2i000000000000−2i2i00000000
χ392-2-222-222-2-22222-2-2-2-2-22-22-22-2200000000000000002i2i−2i−2i000000000000−2i2i00000000
χ402-2-222-222-2-22222-2-2-2-2-22-22-22-220000000000000000−2i−2i2i2i0000000000002i−2i00000000
χ412-2-222-222-2-2-2-2-2-222220000000000002-2002-22-2002-200002-22-2000000000000000000
χ422-2-222-222-2-2-2-2-2-222220000000000002-200-222-200-220000-22-22000000000000000000
χ432-2-222-222-2-2-2-2-2-22222000000000000-22002-2-22002-20000-22-22000000000000000000
χ442-2-222-222-2-2-2-2-2-22222000000000000-2200-22-2200-2200002-22-2000000000000000000
χ452-2-222-2-2-2222-2-22-222-22-2-222-2-2200000000000000000000000000000000002-2002-200
χ462-2-222-2-2-2222-2-22-222-22-2-222-2-220000000000000000000000000000000000-2200-2200
χ472-2-222-2-2-2222-2-22-222-2-222-2-222-200000000000000000000000000000000002-200-2200
χ482-2-222-2-2-2222-2-22-222-2-222-2-222-20000000000000000000000000000000000-22002-200
χ492-2-222-2-2-222-222-22-2-22000000002-22-200002-20000-22000000002-22-200000000000000
χ502-2-222-2-2-222-222-22-2-22000000002-22-20000-2200002-200000000-22-2200000000000000
χ512-2-222-2-2-222-222-22-2-2200000000-22-2200002-20000-2200000000-22-2200000000000000
χ522-2-222-2-2-222-222-22-2-2200000000-22-220000-2200002-2000000002-22-200000000000000
χ532-2-22-222-2-22-2-222-22-222-22-2-22-222-2-222-20000-22000000000000000000000000000000
χ542-2-22-222-2-22-2-222-22-222-22-2-22-22-222-2-2200002-2000000000000000000000000000000
χ552-2-22-222-2-22-2-222-22-22-22-222-22-22-2-22-2200002-2000000000000000000000000000000
χ562-2-22-222-2-22-2-222-22-22-22-222-22-2-222-22-20000-22000000000000000000000000000000
χ572-2-22-22-222-2-22-22-2-2222-2-22-222-2000000000000000000002-2-222-2-2200000000000000
χ582-2-22-22-222-2-22-22-2-2222-2-22-222-200000000000000000000-222-2-222-200000000000000
χ592-2-22-22-222-2-22-22-2-222-222-22-2-22000000000000000000002-2-22-222-200000000000000
χ602-2-22-22-222-2-22-22-2-222-222-22-2-2200000000000000000000-222-22-2-2200000000000000
χ614444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000
χ62444444-4-4-4-4-444-4-444-400000000000000000000000000000000000000000000000000
χ634-4-44-444-4-4444-4-44-44-400000000000000000000000000000000000000000000000000
χ644-4-44-44-444-44-44-444-4-400000000000000000000000000000000000000000000000000
χ6588-8-8000000000000000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ6688-8-800000000000000000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ678-88-80000000000000000000000000000000000000022−22−22220000000000000000000000
χ688-88-800000000000000000000000000000000000000−222222−220000000000000000000000

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