Finite Group Databasebeta

← Group #4306397

Character table — Group #4306397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111111444444444444441111111144444444444444222222228888888888888822222222888888888888882222222288888888888888
order12222222224444444444442222222222444444444444222222222244444444444422222222224444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ31111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1
χ41111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ511111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1
χ611111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111
χ711111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111
χ811111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1
χ92222-2-2-2-22-20000000000002222-2-2-2-22-20000000000002222-2-2-2-22-20000000000002222-2-2-2-22-20000000000002222-2-2-2-22-2000000000000
χ102222-2-2-2-2-220000000000002222-2-2-2-2-220000000000002222-2-2-2-2-220000000000002222-2-2-2-2-220000000000002222-2-2-2-2-22000000000000
χ1122-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i
χ1222-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i
χ1322-2-2-2-2220000002-200000022-2-2-2-2220000002-200000022-2-2-2-2220000002-200000022-2-2-2-2220000002-200000022-2-2-2-2220000002-2000000
χ1422-2-2-2-222000000-2200000022-2-2-2-222000000-2200000022-2-2-2-222000000-2200000022-2-2-2-222000000-2200000022-2-2-2-222000000-22000000
χ152-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i00
χ162-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i00
χ172-22-2-22-2200002-2000000002-22-2-22-2200002-2000000002-22-2-22-2200002-2000000002-22-2-22-2200002-2000000002-22-2-22-2200002-200000000
χ182-22-2-22-220000-22000000002-22-2-22-220000-22000000002-22-2-22-220000-22000000002-22-2-22-220000-22000000002-22-2-22-220000-2200000000
χ192-2-222-2-22002-200000000002-2-222-2-22002-200000000002-2-222-2-22002-200000000002-2-222-2-22002-200000000002-2-222-2-22002-20000000000
χ202-2-222-2-2200-2200000000002-2-222-2-2200-2200000000002-2-222-2-2200-2200000000002-2-222-2-2200-2200000000002-2-222-2-2200-220000000000
χ212-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i0000
χ222-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i0000
χ23111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ251111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ261111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ2711111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ2811111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ2911111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ3011111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ312222-2-2-2-22-20000000000002222-2-2-2-22-20000000000002222-2-2-2-22-2000000000000-2-2-2-22222-22000000000000-2-2-2-22222-22000000000000
χ322222-2-2-2-2-220000000000002222-2-2-2-2-220000000000002222-2-2-2-2-22000000000000-2-2-2-222222-2000000000000-2-2-2-222222-2000000000000
χ3322-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i-2-222-2-222000000000000−2i2i-2-222-2-222000000000000−2i2i
χ3422-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i-2-222-2-2220000000000002i−2i-2-222-2-2220000000000002i−2i
χ3522-2-2-2-2220000002-200000022-2-2-2-2220000002-200000022-2-2-2-2220000002-2000000-2-22222-2-2000000-22000000-2-22222-2-2000000-22000000
χ3622-2-2-2-222000000-2200000022-2-2-2-222000000-2200000022-2-2-2-222000000-22000000-2-22222-2-20000002-2000000-2-22222-2-20000002-2000000
χ372-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i00-22-22-22-220000000000−2i2i00-22-22-22-220000000000−2i2i00
χ382-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i00-22-22-22-2200000000002i−2i00-22-22-22-2200000000002i−2i00
χ392-22-2-22-2200002-2000000002-22-2-22-2200002-2000000002-22-2-22-2200002-200000000-22-222-22-20000-2200000000-22-222-22-20000-2200000000
χ402-22-2-22-220000-22000000002-22-2-22-220000-22000000002-22-2-22-220000-2200000000-22-222-22-200002-200000000-22-222-22-200002-200000000
χ412-2-222-2-22002-200000000002-2-222-2-22002-200000000002-2-222-2-22002-20000000000-222-2-222-200-220000000000-222-2-222-200-220000000000
χ422-2-222-2-2200-2200000000002-2-222-2-2200-2200000000002-2-222-2-2200-220000000000-222-2-222-2002-20000000000-222-2-222-2002-20000000000
χ432-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i0000-222-22-2-2200000000−2i2i0000-222-22-2-2200000000−2i2i0000
χ442-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i0000-222-22-2-22000000002i−2i0000-222-22-2-22000000002i−2i0000
χ4511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ46111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ471111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ481111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ4911111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5011111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ5111111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ5211111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ532222-2-2-2-22-20000000000002222-2-2-2-22-2000000000000-2-2-2-22222-220000000000002222-2-2-2-22-2000000000000-2-2-2-22222-22000000000000
χ542222-2-2-2-2-220000000000002222-2-2-2-2-22000000000000-2-2-2-222222-20000000000002222-2-2-2-2-22000000000000-2-2-2-222222-2000000000000
χ5522-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i-2-222-2-222000000000000−2i2i22-2-222-2-20000000000002i−2i-2-222-2-222000000000000−2i2i
χ5622-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i-2-222-2-2220000000000002i−2i22-2-222-2-2000000000000−2i2i-2-222-2-2220000000000002i−2i
χ5722-2-2-2-2220000002-200000022-2-2-2-2220000002-2000000-2-22222-2-2000000-2200000022-2-2-2-2220000002-2000000-2-22222-2-2000000-22000000
χ5822-2-2-2-222000000-2200000022-2-2-2-222000000-22000000-2-22222-2-20000002-200000022-2-2-2-222000000-22000000-2-22222-2-20000002-2000000
χ592-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i00-22-22-22-220000000000−2i2i002-22-22-22-200000000002i−2i00-22-22-22-220000000000−2i2i00
χ602-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i00-22-22-22-2200000000002i−2i002-22-22-22-20000000000−2i2i00-22-22-22-2200000000002i−2i00
χ612-22-2-22-2200002-2000000002-22-2-22-2200002-200000000-22-222-22-20000-22000000002-22-2-22-2200002-200000000-22-222-22-20000-2200000000
χ622-22-2-22-220000-22000000002-22-2-22-220000-2200000000-22-222-22-200002-2000000002-22-2-22-220000-2200000000-22-222-22-200002-200000000
χ632-2-222-2-22002-200000000002-2-222-2-22002-20000000000-222-2-222-200-2200000000002-2-222-2-22002-20000000000-222-2-222-200-220000000000
χ642-2-222-2-2200-2200000000002-2-222-2-2200-220000000000-222-2-222-2002-200000000002-2-222-2-2200-220000000000-222-2-222-2002-20000000000
χ652-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i0000-222-22-2-2200000000−2i2i00002-2-22-222-2000000002i−2i0000-222-22-2-2200000000−2i2i0000
χ662-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i0000-222-22-2-22000000002i−2i00002-2-22-222-200000000−2i2i0000-222-22-2-22000000002i−2i0000
χ6711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111
χ68111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1
χ691111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-111-1-1-1-111-1-1
χ701111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1-1-111-1-1-1-111
χ7111111111-1-1111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1
χ7211111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-11111
χ7311111111-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-111-1-111-1-111
χ7411111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ752222-2-2-2-22-20000000000002222-2-2-2-22-2000000000000-2-2-2-22222-22000000000000-2-2-2-22222-220000000000002222-2-2-2-22-2000000000000
χ762222-2-2-2-2-220000000000002222-2-2-2-2-22000000000000-2-2-2-222222-2000000000000-2-2-2-222222-20000000000002222-2-2-2-2-22000000000000
χ7722-2-222-2-20000000000002i−2i22-2-222-2-20000000000002i−2i-2-222-2-222000000000000−2i2i-2-222-2-222000000000000−2i2i22-2-222-2-20000000000002i−2i
χ7822-2-222-2-2000000000000−2i2i22-2-222-2-2000000000000−2i2i-2-222-2-2220000000000002i−2i-2-222-2-2220000000000002i−2i22-2-222-2-2000000000000−2i2i
χ7922-2-2-2-2220000002-200000022-2-2-2-2220000002-2000000-2-22222-2-2000000-22000000-2-22222-2-2000000-2200000022-2-2-2-2220000002-2000000
χ8022-2-2-2-222000000-2200000022-2-2-2-222000000-22000000-2-22222-2-20000002-2000000-2-22222-2-20000002-200000022-2-2-2-222000000-22000000
χ812-22-22-22-200000000002i−2i002-22-22-22-200000000002i−2i00-22-22-22-220000000000−2i2i00-22-22-22-220000000000−2i2i002-22-22-22-200000000002i−2i00
χ822-22-22-22-20000000000−2i2i002-22-22-22-20000000000−2i2i00-22-22-22-2200000000002i−2i00-22-22-22-2200000000002i−2i002-22-22-22-20000000000−2i2i00
χ832-22-2-22-2200002-2000000002-22-2-22-2200002-200000000-22-222-22-20000-2200000000-22-222-22-20000-22000000002-22-2-22-2200002-200000000
χ842-22-2-22-220000-22000000002-22-2-22-220000-2200000000-22-222-22-200002-200000000-22-222-22-200002-2000000002-22-2-22-220000-2200000000
χ852-2-222-2-22002-200000000002-2-222-2-22002-20000000000-222-2-222-200-220000000000-222-2-222-200-2200000000002-2-222-2-22002-20000000000
χ862-2-222-2-2200-2200000000002-2-222-2-2200-220000000000-222-2-222-2002-20000000000-222-2-222-2002-200000000002-2-222-2-2200-220000000000
χ872-2-22-222-2000000002i−2i00002-2-22-222-2000000002i−2i0000-222-22-2-2200000000−2i2i0000-222-22-2-2200000000−2i2i00002-2-22-222-2000000002i−2i0000
χ882-2-22-222-200000000−2i2i00002-2-22-222-200000000−2i2i0000-222-22-2-22000000002i−2i0000-222-22-2-22000000002i−2i00002-2-22-222-200000000−2i2i0000
χ892222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000
χ90222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222000000000000000000000000000000000000000000000000000000000000000000
χ912222222222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222000000000000000000000000000000000000000000000000000000000000000000
χ922222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9322222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000000000
χ9422222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9522222222-2-2-2-222-2-222-2-222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9622222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000
χ974444-4-4-4-44-4000000000000-4-4-4-44444-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984444-4-4-4-4-44000000000000-4-4-4-444444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-444-4-40000000000004i−4i-4-444-4-444000000000000−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ10044-4-444-4-4000000000000−4i4i-4-444-4-4440000000000004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-4-4440000004-4000000-4-44444-4-4000000-44000000000000000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-4-444000000-44000000-4-44444-4-40000004-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-44-44-44-400000000004i−4i00-44-44-44-440000000000−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1044-44-44-44-40000000000−4i4i00-44-44-44-4400000000004i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1054-44-4-44-4400004-400000000-44-444-44-40000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-44-4-44-440000-4400000000-44-444-44-400004-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-444-4-44004-40000000000-444-4-444-400-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-444-4-4400-440000000000-444-4-444-4004-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-44-444-4000000004i−4i0000-444-44-4-4400000000−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-44-444-400000000−4i4i0000-444-44-4-44000000004i−4i0000000000000000000000000000000000000000000000000000000000000000000000

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