Finite Group Databasebeta

← Group #6447950

Character table — Group #6447950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882244444444448888442222222244444444444444444488888888224444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ9111111111-1-1-1-1111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1-111-1-11-1111111111-1-1-1-1111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1-111-1-11-1
χ10111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-11111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-11
χ11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11111-1-1-11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11111-1-1-11
χ12111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1111-1111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1111-1
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-111-11-1-1-1-111-11111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-111-11-1-1-1-111-11
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-111111-1-11-1111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-111111-1-11-1
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-1111-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-1111-1
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-11111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-11
χ1722222222-22222-2-2-2-2-2222200000000000000000000-2-20000000022222222-22222-2-2-2-2-2222200000000000000000000-2-200000000
χ1822222222-22222-2-2-2-2-2-2-2-2-200000000000000000000220000000022222222-22222-2-2-2-2-2-2-2-2-2000000000000000000002200000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000000000-220000000022222222-2-2-2-2-2-2-2-22222-2-200000000000000000000-2200000000
χ2022222222-2-2-2-2-2-2-2-222-2-222000000000000000000002-20000000022222222-2-2-2-2-2-2-2-222-2-222000000000000000000002-200000000
χ21222-2-2-2-22-200002-2200000022-2-200002i2i−2i−2i00000000002i−2i000000222-2-2-2-22-200002-2200000022-2-200002i2i−2i−2i00000000002i−2i000000
χ22222-2-2-2-22-200002-2200000022-2-20000−2i−2i2i2i0000000000−2i2i000000222-2-2-2-22-200002-2200000022-2-20000−2i−2i2i2i0000000000−2i2i000000
χ23222-2-2-2-22-200002-22000000-2-22200002i2i−2i−2i0000000000−2i2i000000222-2-2-2-22-200002-22000000-2-22200002i2i−2i−2i0000000000−2i2i000000
χ24222-2-2-2-22-200002-22000000-2-2220000−2i−2i2i2i00000000002i−2i000000222-2-2-2-22-200002-22000000-2-2220000−2i−2i2i2i00000000002i−2i000000
χ2522-2-2-222-2022-2-2000002i−2i2i−2i0000i2i2−i2−i2i2−i2i2−i20000000000002−22−20022-2-2-222-2022-2-2000002i−2i2i−2i0000i2i2−i2−i2i2−i2i2−i20000000000002−22−200
χ2622-2-2-222-2022-2-2000002i−2i2i−2i0000−i2−i2i2i2−i2i2−i2i2000000000000−22−220022-2-2-222-2022-2-2000002i−2i2i−2i0000−i2−i2i2i2−i2i2−i2i2000000000000−22−2200
χ2722-2-2-222-2022-2-200000−2i2i−2i2i0000i2i2−i2−i2i2−i2i2−i2000000000000−22−220022-2-2-222-2022-2-200000−2i2i−2i2i0000i2i2−i2−i2i2−i2i2−i2000000000000−22−2200
χ2822-2-2-222-2022-2-200000−2i2i−2i2i0000−i2−i2i2i2−i2i2−i2i20000000000002−22−20022-2-2-222-2022-2-200000−2i2i−2i2i0000−i2−i2i2i2−i2i2−i2i20000000000002−22−200
χ2922-2-2-222-20-2-222000002i−2i−2i2i0000i2i2−i2−i2−i2i2−i2i20000000000002−2−220022-2-2-222-20-2-222000002i−2i−2i2i0000i2i2−i2−i2−i2i2−i2i20000000000002−2−2200
χ3022-2-2-222-20-2-222000002i−2i−2i2i0000−i2−i2i2i2i2−i2i2−i2000000000000−222−20022-2-2-222-20-2-222000002i−2i−2i2i0000−i2−i2i2i2i2−i2i2−i2000000000000−222−200
χ3122-2-2-222-20-2-22200000−2i2i2i−2i0000i2i2−i2−i2−i2i2−i2i2000000000000−222−20022-2-2-222-20-2-22200000−2i2i2i−2i0000i2i2−i2−i2−i2i2−i2i2000000000000−222−200
χ3222-2-2-222-20-2-22200000−2i2i2i−2i0000−i2−i2i2i2i2−i2i2−i20000000000002−2−220022-2-2-222-20-2-22200000−2i2i2i−2i0000−i2−i2i2i2i2−i2i2−i20000000000002−2−2200
χ332-222-22-2-2-20000-2220000002i−2i2i−2i2i−2i2i−2i00002-200000000000000002-222-22-2-2-20000-2220000002i−2i2i−2i2i−2i2i−2i00002-20000000000000000
χ342-222-22-2-2-20000-2220000002i−2i2i−2i−2i2i−2i2i0000-2200000000000000002-222-22-2-2-20000-2220000002i−2i2i−2i−2i2i−2i2i0000-220000000000000000
χ352-222-22-2-2-20000-222000000−2i2i−2i2i2i−2i2i−2i0000-2200000000000000002-222-22-2-2-20000-222000000−2i2i−2i2i2i−2i2i−2i0000-220000000000000000
χ362-222-22-2-2-20000-222000000−2i2i−2i2i−2i2i−2i2i00002-200000000000000002-222-22-2-2-20000-222000000−2i2i−2i2i−2i2i−2i2i00002-20000000000000000
χ372-22-22-22-222-22-2-2-222-200002i−2i−2i2i00000000002i−2i000000000000002-22-22-22-222-22-2-2-222-200002i−2i−2i2i00000000002i−2i00000000000000
χ382-22-22-22-222-22-2-2-222-20000−2i2i2i−2i0000000000−2i2i000000000000002-22-22-22-222-22-2-2-222-20000−2i2i2i−2i0000000000−2i2i00000000000000
χ392-22-22-22-22-22-22-2-22-2200002i−2i−2i2i0000000000−2i2i000000000000002-22-22-22-22-22-22-2-22-2200002i−2i−2i2i0000000000−2i2i00000000000000
χ402-22-22-22-22-22-22-2-22-220000−2i2i2i−2i00000000002i−2i000000000000002-22-22-22-22-22-22-2-22-220000−2i2i2i−2i00000000002i−2i00000000000000
χ412-22-22-22-2-22-22-222-2-22000000000000000000002i−2i2i−2i00000000002-22-22-22-2-22-22-222-2-22000000000000000000002i−2i2i−2i0000000000
χ422-22-22-22-2-22-22-222-2-2200000000000000000000−2i2i−2i2i00000000002-22-22-22-2-22-22-222-2-2200000000000000000000−2i2i−2i2i0000000000
χ432-22-22-22-2-2-22-2222-22-2000000000000000000002i−2i−2i2i00000000002-22-22-22-2-2-22-2222-22-2000000000000000000002i−2i−2i2i0000000000
χ442-22-22-22-2-2-22-2222-22-200000000000000000000−2i2i2i−2i00000000002-22-22-22-2-2-22-2222-22-200000000000000000000−2i2i2i−2i0000000000
χ45444-4-4-4-4440000-44-4000000000000000000000000000000000000444-4-4-4-4440000-44-4000000000000000000000000000000000000
χ4644-444-4-4-4000000000000000000000022−22−222200000000000000000044-444-4-4-4000000000000000000000022−22−2222000000000000000000
χ4744-444-4-4-40000000000000000000000−222222−2200000000000000000044-444-4-4-40000000000000000000000−222222−22000000000000000000
χ484-444-44-4-4400004-4-40000000000000000000000000000000000004-444-44-4-4400004-4-4000000000000000000000000000000000000
χ494-4-44-4-44404-4-440000000000000000000000000000000000000004-4-44-4-44404-4-44000000000000000000000000000000000000000
χ504-4-44-4-4440-444-40000000000000000000000000000000000000004-4-44-4-4440-444-4000000000000000000000000000000000000000
χ514-4-4-444-4400000000000000000022−22−222200000000000000000000004-4-4-444-4400000000000000000022−22−22220000000000000000000000
χ524-4-4-444-44000000000000000000−222222−2200000000000000000000004-4-4-444-44000000000000000000−222222−220000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111
χ551111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-11111-1-1
χ57111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1
χ59111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-111
χ61111111111-1-1-1-1111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1111-1-111-11
χ62111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-11-1
χ63111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1-11-1-1-1-1111-1
χ64111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-111111-1-1-11
χ65111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-111-11-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-11111-1-11-1
χ66111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-111-11
χ67111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-11
χ68111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1111-1
χ6922222222-22222-2-2-2-2-2222200000000000000000000-2-200000000-2-2-2-2-2-2-2-22-2-2-2-222222-2-2-2-2000000000000000000002200000000
χ7022222222-22222-2-2-2-2-2-2-2-2-2000000000000000000002200000000-2-2-2-2-2-2-2-22-2-2-2-222222222200000000000000000000-2-200000000
χ7122222222-2-2-2-2-2-2-2-22222-2-200000000000000000000-2200000000-2-2-2-2-2-2-2-222222222-2-2-2-222000000000000000000002-200000000
χ7222222222-2-2-2-2-2-2-2-222-2-222000000000000000000002-200000000-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000-2200000000
χ73222-2-2-2-22-200002-2200000022-2-200002i2i−2i−2i00000000002i−2i000000-2-2-22222-220000-22-2000000-2-2220000−2i−2i2i2i0000000000−2i2i000000
χ74222-2-2-2-22-200002-2200000022-2-20000−2i−2i2i2i0000000000−2i2i000000-2-2-22222-220000-22-2000000-2-22200002i2i−2i−2i00000000002i−2i000000
χ75222-2-2-2-22-200002-22000000-2-22200002i2i−2i−2i0000000000−2i2i000000-2-2-22222-220000-22-200000022-2-20000−2i−2i2i2i00000000002i−2i000000
χ76222-2-2-2-22-200002-22000000-2-2220000−2i−2i2i2i00000000002i−2i000000-2-2-22222-220000-22-200000022-2-200002i2i−2i−2i0000000000−2i2i000000
χ7722-2-2-222-2022-2-2000002i−2i2i−2i0000i2i2−i2−i2i2−i2i2−i20000000000002−22−200-2-2222-2-220-2-22200000−2i2i−2i2i0000−i2−i2i2i2−i2i2−i2i2000000000000−22−2200
χ7822-2-2-222-2022-2-2000002i−2i2i−2i0000−i2−i2i2i2−i2i2−i2i2000000000000−22−2200-2-2222-2-220-2-22200000−2i2i−2i2i0000i2i2−i2−i2i2−i2i2−i20000000000002−22−200
χ7922-2-2-222-2022-2-200000−2i2i−2i2i0000i2i2−i2−i2i2−i2i2−i2000000000000−22−2200-2-2222-2-220-2-222000002i−2i2i−2i0000−i2−i2i2i2−i2i2−i2i20000000000002−22−200
χ8022-2-2-222-2022-2-200000−2i2i−2i2i0000−i2−i2i2i2−i2i2−i2i20000000000002−22−200-2-2222-2-220-2-222000002i−2i2i−2i0000i2i2−i2−i2i2−i2i2−i2000000000000−22−2200
χ8122-2-2-222-20-2-222000002i−2i−2i2i0000i2i2−i2−i2−i2i2−i2i20000000000002−2−2200-2-2222-2-22022-2-200000−2i2i2i−2i0000−i2−i2i2i2i2−i2i2−i2000000000000−222−200
χ8222-2-2-222-20-2-222000002i−2i−2i2i0000−i2−i2i2i2i2−i2i2−i2000000000000−222−200-2-2222-2-22022-2-200000−2i2i2i−2i0000i2i2−i2−i2−i2i2−i2i20000000000002−2−2200
χ8322-2-2-222-20-2-22200000−2i2i2i−2i0000i2i2−i2−i2−i2i2−i2i2000000000000−222−200-2-2222-2-22022-2-2000002i−2i−2i2i0000−i2−i2i2i2i2−i2i2−i20000000000002−2−2200
χ8422-2-2-222-20-2-22200000−2i2i2i−2i0000−i2−i2i2i2i2−i2i2−i20000000000002−2−2200-2-2222-2-22022-2-2000002i−2i−2i2i0000i2i2−i2−i2−i2i2−i2i2000000000000−222−200
χ852-222-22-2-2-20000-2220000002i−2i2i−2i2i−2i2i−2i00002-20000000000000000-22-2-22-222200002-2-2000000−2i2i−2i2i−2i2i−2i2i0000-220000000000000000
χ862-222-22-2-2-20000-2220000002i−2i2i−2i−2i2i−2i2i0000-220000000000000000-22-2-22-222200002-2-2000000−2i2i−2i2i2i−2i2i−2i00002-20000000000000000
χ872-222-22-2-2-20000-222000000−2i2i−2i2i2i−2i2i−2i0000-220000000000000000-22-2-22-222200002-2-20000002i−2i2i−2i−2i2i−2i2i00002-20000000000000000
χ882-222-22-2-2-20000-222000000−2i2i−2i2i−2i2i−2i2i00002-20000000000000000-22-2-22-222200002-2-20000002i−2i2i−2i2i−2i2i−2i0000-220000000000000000
χ892-22-22-22-222-22-2-2-222-200002i−2i−2i2i00000000002i−2i00000000000000-22-22-22-22-2-22-2222-2-220000−2i2i2i−2i0000000000−2i2i00000000000000
χ902-22-22-22-222-22-2-2-222-20000−2i2i2i−2i0000000000−2i2i00000000000000-22-22-22-22-2-22-2222-2-2200002i−2i−2i2i00000000002i−2i00000000000000
χ912-22-22-22-22-22-22-2-22-2200002i−2i−2i2i0000000000−2i2i00000000000000-22-22-22-22-22-22-222-22-20000−2i2i2i−2i00000000002i−2i00000000000000
χ922-22-22-22-22-22-22-2-22-220000−2i2i2i−2i00000000002i−2i00000000000000-22-22-22-22-22-22-222-22-200002i−2i−2i2i0000000000−2i2i00000000000000
χ932-22-22-22-2-22-22-222-2-22000000000000000000002i−2i2i−2i0000000000-22-22-22-222-22-22-2-222-200000000000000000000−2i2i−2i2i0000000000
χ942-22-22-22-2-22-22-222-2-2200000000000000000000−2i2i−2i2i0000000000-22-22-22-222-22-22-2-222-2000000000000000000002i−2i2i−2i0000000000
χ952-22-22-22-2-2-22-2222-22-2000000000000000000002i−2i−2i2i0000000000-22-22-22-2222-22-2-2-22-2200000000000000000000−2i2i2i−2i0000000000
χ962-22-22-22-2-2-22-2222-22-200000000000000000000−2i2i2i−2i0000000000-22-22-22-2222-22-2-2-22-22000000000000000000002i−2i−2i2i0000000000
χ97444-4-4-4-4440000-44-4000000000000000000000000000000000000-4-4-44444-4-400004-44000000000000000000000000000000000000
χ9844-444-4-4-4000000000000000000000022−22−2222000000000000000000-4-44-4-44440000000000000000000000−222222−22000000000000000000
χ9944-444-4-4-40000000000000000000000−222222−22000000000000000000-4-44-4-4444000000000000000000000022−22−2222000000000000000000
χ1004-444-44-4-4400004-4-4000000000000000000000000000000000000-44-4-44-444-40000-444000000000000000000000000000000000000
χ1014-4-44-4-44404-4-44000000000000000000000000000000000000000-444-444-4-40-444-4000000000000000000000000000000000000000
χ1024-4-44-4-4440-444-4000000000000000000000000000000000000000-444-444-4-404-4-44000000000000000000000000000000000000000
χ1034-4-4-444-4400000000000000000022−22−22220000000000000000000000-4444-4-44-4000000000000000000−222222−220000000000000000000000
χ1044-4-4-444-44000000000000000000−222222−220000000000000000000000-4444-4-44-400000000000000000022−22−22220000000000000000000000

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