Finite Group Databasebeta

← Group #6448860

Character table — Group #6448860

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882244444444448888222222222244444444444444444488888888224444444444888822
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-111-1-111-1-111-1-11-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-11
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-11
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-1111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-1111-1
χ131111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1111-1-1-1-111-1-111-111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1111-1-1-1-111-1-111-11
χ141111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-11111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1
χ151111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-1-1-1111-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-1-1-1111-1
χ161111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-11
χ1722222222-2-22222-2-22222-2-200000000000000-2-20000000000000022222222-2-22222-2-22222-2-200000000000000-2-200000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-200000000000000220000000000000022222222-2-22222-2-2-2-2-2-2-2-2000000000000002200000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-22200000000000000-220000000000000022222222-2-2-2-2-2-2-2-222-2-22200000000000000-2200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000002-20000000000000022222222-2-2-2-2-2-2-2-2-2-22222000000000000002-200000000000000
χ21222-22-2-2-20022-2-2002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i20000000000002−22−200222-22-2-2-20022-2-2002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i20000000000002−22−200
χ22222-22-2-2-20022-2-2002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i2000000000000−22−2200222-22-2-2-20022-2-2002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i2000000000000−22−2200
χ23222-22-2-2-20022-2-200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i2000000000000−22−2200222-22-2-2-20022-2-200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i2000000000000−22−2200
χ24222-22-2-2-20022-2-200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i20000000000002−22−200222-22-2-2-20022-2-200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i20000000000002−22−200
χ25222-22-2-2-200-2-222002i−2i−2i2i000000i2i2−i2−i2−i2−i2i2i20000000000002−2−2200222-22-2-2-200-2-222002i−2i−2i2i000000i2i2−i2−i2−i2−i2i2i20000000000002−2−2200
χ26222-22-2-2-200-2-222002i−2i−2i2i000000−i2−i2i2i2i2i2−i2−i2000000000000−222−200222-22-2-2-200-2-222002i−2i−2i2i000000−i2−i2i2i2i2i2−i2−i2000000000000−222−200
χ27222-22-2-2-200-2-22200−2i2i2i−2i000000i2i2−i2−i2−i2−i2i2i2000000000000−222−200222-22-2-2-200-2-22200−2i2i2i−2i000000i2i2−i2−i2−i2−i2i2i2000000000000−222−200
χ28222-22-2-2-200-2-22200−2i2i2i−2i000000−i2−i2i2i2i2i2−i2−i20000000000002−2−2200222-22-2-2-200-2-22200−2i2i2i−2i000000−i2−i2i2i2i2i2−i2−i20000000000002−2−2200
χ2922-2-2-22-222-200002-20000002i2i−2i−2i2-22-2000000002i−2i00000000000022-2-2-22-222-200002-20000002i2i−2i−2i2-22-2000000002i−2i000000000000
χ3022-2-2-22-222-200002-20000002i2i−2i−2i-22-2200000000−2i2i00000000000022-2-2-22-222-200002-20000002i2i−2i−2i-22-2200000000−2i2i000000000000
χ3122-2-2-22-222-200002-2000000−2i−2i2i2i2-22-200000000−2i2i00000000000022-2-2-22-222-200002-2000000−2i−2i2i2i2-22-200000000−2i2i000000000000
χ3222-2-2-22-222-200002-2000000−2i−2i2i2i-22-22000000002i−2i00000000000022-2-2-22-222-200002-2000000−2i−2i2i2i-22-22000000002i−2i000000000000
χ332-222-22-2-2-2200002-20000002i−2i2i−2i00002i−2i2i−2i0000002-200000000002-222-22-2-2-2200002-20000002i−2i2i−2i00002i−2i2i−2i0000002-20000000000
χ342-222-22-2-2-2200002-20000002i−2i2i−2i0000−2i2i−2i2i000000-2200000000002-222-22-2-2-2200002-20000002i−2i2i−2i0000−2i2i−2i2i000000-220000000000
χ352-222-22-2-2-2200002-2000000−2i2i−2i2i00002i−2i2i−2i000000-2200000000002-222-22-2-2-2200002-2000000−2i2i−2i2i00002i−2i2i−2i000000-220000000000
χ362-222-22-2-2-2200002-2000000−2i2i−2i2i0000−2i2i−2i2i0000002-200000000002-222-22-2-2-2200002-2000000−2i2i−2i2i0000−2i2i−2i2i0000002-20000000000
χ372-2-2-2222-2222-22-2-2-200002-2000000000000000000002i−2i2i−2i0000002-2-2-2222-2222-22-2-2-200002-2000000000000000000002i−2i2i−2i000000
χ382-2-2-2222-2222-22-2-2-200002-200000000000000000000−2i2i−2i2i0000002-2-2-2222-2222-22-2-2-200002-200000000000000000000−2i2i−2i2i000000
χ392-2-2-2222-222-22-22-2-20000-22000000000000000000002i−2i−2i2i0000002-2-2-2222-222-22-22-2-20000-22000000000000000000002i−2i−2i2i000000
χ402-2-2-2222-222-22-22-2-20000-2200000000000000000000−2i2i2i−2i0000002-2-2-2222-222-22-22-2-20000-2200000000000000000000−2i2i2i−2i000000
χ412-2-2-2222-2-2-22-22-2220000-222-2-22000000002-200000000000000002-2-2-2222-2-2-22-22-2220000-222-2-22000000002-20000000000000000
χ422-2-2-2222-2-2-22-22-2220000-22-222-200000000-2200000000000000002-2-2-2222-2-2-22-22-2220000-22-222-200000000-220000000000000000
χ432-2-2-2222-2-2-2-22-222200002-22-2-2200000000-2200000000000000002-2-2-2222-2-2-2-22-222200002-22-2-2200000000-220000000000000000
χ442-2-2-2222-2-2-2-22-222200002-2-222-2000000002-200000000000000002-2-2-2222-2-2-2-22-222200002-2-222-2000000002-20000000000000000
χ4544-44-4-44-40000000000000000002i2−2i2−2i22i2000000000000000000000044-44-4-44-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ4644-44-4-44-4000000000000000000−2i22i22i2−2i2000000000000000000000044-44-4-44-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ4744-4-4-44-44-440000-4400000000000000000000000000000000000044-4-4-44-44-440000-44000000000000000000000000000000000000
χ484-444-44-4-44-40000-440000000000000000000000000000000000004-444-44-4-44-40000-44000000000000000000000000000000000000
χ494-44-4-4-444000000000000000000000022−22−22220000000000000000004-44-4-4-444000000000000000000000022−22−2222000000000000000000
χ504-44-4-4-4440000000000000000000000−222222−220000000000000000004-44-4-4-4440000000000000000000000−222222−22000000000000000000
χ514-4-444-4-44004-4-44000000000000000000000000000000000000004-4-444-4-44004-4-4400000000000000000000000000000000000000
χ524-4-444-4-4400-444-4000000000000000000000000000000000000004-4-444-4-4400-444-400000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111
χ551111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1
χ571111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1
χ591111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ601111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-111-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-111-1-111-1-111-11
χ621111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-11111-1-11-1
χ631111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1111-1-111-1-1-1-1111-1
χ641111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-11111-1-111-1-1-11
χ651111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1-11-1
χ661111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111-111-1-111-1-1-1-111-11
χ671111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-11-111-1-1-1-11111-1-1-11
χ681111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11-1-1-111-1-111-1-1111-1
χ6922222222-2-22222-2-22222-2-200000000000000-2-200000000000000-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222000000000000002200000000000000
χ7022222222-2-22222-2-2-2-2-2-2-2-2000000000000002200000000000000-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000-2-200000000000000
χ7122222222-2-2-2-2-2-2-2-222-2-22200000000000000-2200000000000000-2-2-2-2-2-2-2-222222222-2-222-2-2000000000000002-200000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-22222000000000000002-200000000000000-2-2-2-2-2-2-2-22222222222-2-2-2-200000000000000-2200000000000000
χ73222-22-2-2-20022-2-2002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i20000000000002−22−200-2-2-22-222200-2-22200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i2000000000000−22−2200
χ74222-22-2-2-20022-2-2002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i2000000000000−22−2200-2-2-22-222200-2-22200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i20000000000002−22−200
χ75222-22-2-2-20022-2-200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i2000000000000−22−2200-2-2-22-222200-2-222002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i20000000000002−22−200
χ76222-22-2-2-20022-2-200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i20000000000002−22−200-2-2-22-222200-2-222002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i2000000000000−22−2200
χ77222-22-2-2-200-2-222002i−2i−2i2i000000i2i2−i2−i2−i2−i2i2i20000000000002−2−2200-2-2-22-22220022-2-200−2i2i2i−2i000000−i2−i2i2i2i2i2−i2−i2000000000000−222−200
χ78222-22-2-2-200-2-222002i−2i−2i2i000000−i2−i2i2i2i2i2−i2−i2000000000000−222−200-2-2-22-22220022-2-200−2i2i2i−2i000000i2i2−i2−i2−i2−i2i2i20000000000002−2−2200
χ79222-22-2-2-200-2-22200−2i2i2i−2i000000i2i2−i2−i2−i2−i2i2i2000000000000−222−200-2-2-22-22220022-2-2002i−2i−2i2i000000−i2−i2i2i2i2i2−i2−i20000000000002−2−2200
χ80222-22-2-2-200-2-22200−2i2i2i−2i000000−i2−i2i2i2i2i2−i2−i20000000000002−2−2200-2-2-22-22220022-2-2002i−2i−2i2i000000i2i2−i2−i2−i2−i2i2i2000000000000−222−200
χ8122-2-2-22-222-200002-20000002i2i−2i−2i2-22-2000000002i−2i000000000000-2-2222-22-2-220000-22000000−2i−2i2i2i-22-2200000000−2i2i000000000000
χ8222-2-2-22-222-200002-20000002i2i−2i−2i-22-2200000000−2i2i000000000000-2-2222-22-2-220000-22000000−2i−2i2i2i2-22-2000000002i−2i000000000000
χ8322-2-2-22-222-200002-2000000−2i−2i2i2i2-22-200000000−2i2i000000000000-2-2222-22-2-220000-220000002i2i−2i−2i-22-22000000002i−2i000000000000
χ8422-2-2-22-222-200002-2000000−2i−2i2i2i-22-22000000002i−2i000000000000-2-2222-22-2-220000-220000002i2i−2i−2i2-22-200000000−2i2i000000000000
χ852-222-22-2-2-2200002-20000002i−2i2i−2i00002i−2i2i−2i0000002-20000000000-22-2-22-2222-20000-22000000−2i2i−2i2i0000−2i2i−2i2i000000-220000000000
χ862-222-22-2-2-2200002-20000002i−2i2i−2i0000−2i2i−2i2i000000-220000000000-22-2-22-2222-20000-22000000−2i2i−2i2i00002i−2i2i−2i0000002-20000000000
χ872-222-22-2-2-2200002-2000000−2i2i−2i2i00002i−2i2i−2i000000-220000000000-22-2-22-2222-20000-220000002i−2i2i−2i0000−2i2i−2i2i0000002-20000000000
χ882-222-22-2-2-2200002-2000000−2i2i−2i2i0000−2i2i−2i2i0000002-20000000000-22-2-22-2222-20000-220000002i−2i2i−2i00002i−2i2i−2i000000-220000000000
χ892-2-2-2222-2222-22-2-2-200002-2000000000000000000002i−2i2i−2i000000-2222-2-2-22-2-2-22-22220000-2200000000000000000000−2i2i−2i2i000000
χ902-2-2-2222-2222-22-2-2-200002-200000000000000000000−2i2i−2i2i000000-2222-2-2-22-2-2-22-22220000-22000000000000000000002i−2i2i−2i000000
χ912-2-2-2222-222-22-22-2-20000-22000000000000000000002i−2i−2i2i000000-2222-2-2-22-2-22-22-22200002-200000000000000000000−2i2i2i−2i000000
χ922-2-2-2222-222-22-22-2-20000-2200000000000000000000−2i2i2i−2i000000-2222-2-2-22-2-22-22-22200002-2000000000000000000002i−2i−2i2i000000
χ932-2-2-2222-2-2-22-22-2220000-222-2-22000000002-20000000000000000-2222-2-2-2222-22-22-2-200002-2-222-200000000-220000000000000000
χ942-2-2-2222-2-2-22-22-2220000-22-222-200000000-220000000000000000-2222-2-2-2222-22-22-2-200002-22-2-22000000002-20000000000000000
χ952-2-2-2222-2-2-2-22-222200002-22-2-2200000000-220000000000000000-2222-2-2-22222-22-2-2-20000-22-222-2000000002-20000000000000000
χ962-2-2-2222-2-2-2-22-222200002-2-222-2000000002-20000000000000000-2222-2-2-22222-22-2-2-20000-222-2-2200000000-220000000000000000
χ9744-44-4-44-40000000000000000002i2−2i2−2i22i20000000000000000000000-4-44-444-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ9844-44-4-44-4000000000000000000−2i22i22i2−2i20000000000000000000000-4-44-444-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ9944-4-4-44-44-440000-44000000000000000000000000000000000000-4-4444-44-44-400004-4000000000000000000000000000000000000
χ1004-444-44-4-44-40000-44000000000000000000000000000000000000-44-4-44-444-4400004-4000000000000000000000000000000000000
χ1014-44-4-4-444000000000000000000000022−22−2222000000000000000000-44-4444-4-40000000000000000000000−222222−22000000000000000000
χ1024-44-4-4-4440000000000000000000000−222222−22000000000000000000-44-4444-4-4000000000000000000000022−22−2222000000000000000000
χ1034-4-444-4-44004-4-4400000000000000000000000000000000000000-444-4-444-400-444-400000000000000000000000000000000000000
χ1044-4-444-4-4400-444-400000000000000000000000000000000000000-444-4-444-4004-4-4400000000000000000000000000000000000000

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