Finite Group Databasebeta

← Group #13180915

Character table — Group #13180915

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222226633666661818448888824244488888242422444441212661212121212363688161616161648488816161616164848336666618189918181818185454121224242424247272121224242424247272
order12236662422266662436636666123663666612366366661266666666123663666612366366661222266662422266662466666666126666666612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-1
χ411-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-11
χ5222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100
χ622-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-11100
χ72-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-20000
χ82-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i300
χ92-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i300
χ10111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ111111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ1211-111-1-11-111-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i3211-111-1-11-111-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i3211-111-1-11-111-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ1311-111-1-1-1111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i3211-111-1-1-1111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i3211-111-1-1-1111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ14222-1-1-1-100222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200222-1-1-1-100222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200222-1-1-1-100222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200
χ1522-2-1-1110022-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i320022-2-1-1110022-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i320022-2-1-1110022-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200
χ162-202-200002-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i300002-202-200002-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i300002-202-200002-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i30000
χ172-20-11i3−i3002-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i32002-20-11i3−i3002-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i32002-20-11i3−i3002-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i3200
χ182-20-11−i3i3002-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i32002-20-11−i3i3002-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i32002-20-11−i3i3002-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i3200
χ19111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ201111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ2111-111-1-11-111-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i3211-111-1-11-111-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i3211-111-1-11-111-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ2211-111-1-1-1111-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i3211-111-1-1-1111-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i3211-111-1-1-1111-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ23222-1-1-1-100222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200222-1-1-1-100222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200222-1-1-1-100222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200
χ2422-2-1-1110022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i320022-2-1-1110022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i320022-2-1-1110022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200
χ252-202-200002-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i300002-202-200002-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i300002-202-200002-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i30000
χ262-20-11i3−i3002-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i32002-20-11i3−i3002-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i32002-20-11i3−i3002-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i3200
χ272-20-11−i3i3002-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i32002-20-11−i3i3002-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i32002-20-11−i3i3002-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i3200
χ28333333333-1-1-1-1-1-1-1-1-1000000000000000000333333333-1-1-1-1-1-1-1-1-1000000000000000000333333333-1-1-1-1-1-1-1-1-1000000000000000000
χ293333333-3-3-1-1-1-1-1-1-1110000000000000000003333333-3-3-1-1-1-1-1-1-1110000000000000000003333333-3-3-1-1-1-1-1-1-111000000000000000000
χ3033-333-3-33-3-1-11-1-111-1100000000000000000033-333-3-33-3-1-11-1-111-1100000000000000000033-333-3-33-3-1-11-1-111-11000000000000000000
χ3133-333-3-3-33-1-11-1-1111-100000000000000000033-333-3-3-33-1-11-1-1111-100000000000000000033-333-3-3-33-1-11-1-1111-1000000000000000000
χ32666-3-3-3-300-2-2-2111100000000000000000000666-3-3-3-300-2-2-2111100000000000000000000666-3-3-3-300-2-2-2111100000000000000000000
χ3366-6-3-33300-2-2211-1-10000000000000000000066-6-3-33300-2-2211-1-10000000000000000000066-6-3-33300-2-2211-1-100000000000000000000
χ346-606-60000-220-2200000000000000000000006-606-60000-220-2200000000000000000000006-606-60000-220-220000000000000000000000
χ356-60-333i3−3i300-2201-1−i3i3000000000000000000006-60-333i3−3i300-2201-1−i3i3000000000000000000006-60-333i3−3i300-2201-1−i3i300000000000000000000
χ366-60-33−3i33i300-2201-1i3−i3000000000000000000006-60-33−3i33i300-2201-1i3−i3000000000000000000006-60-33−3i33i300-2201-1i3−i300000000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ3911-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-111-111-1-11-1-1-11-1-111-11-1-11-1-111-11-1-11-1-111-11-1-11-1-111-11
χ4011-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-11-1-11-1-1111-1-1-11-1-1111-1-1-11-1-1111-1-1-11-1-1111-1
χ41222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100222-1-1-1-100-2-2-2111100-2-2-2111100-2-2-2111100-2-2-2111100
χ4222-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-1110022-2-1-11100-2-2211-1-100-2-2211-1-100-2-2211-1-100-2-2211-1-100
χ432-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-200002-202-20000-220-220000-220-220000-220-220000-220-220000
χ442-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i3002-20-11i3−i300-2201-1−i3i300-2201-1−i3i300-2201-1−i3i300-2201-1−i3i300
χ452-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i3002-20-11−i3i300-2201-1i3−i300-2201-1i3−i300-2201-1i3−i300-2201-1i3−i300
χ46111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ471111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-1-1-1-111-1-1-1-1-1-1-1111−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4811-111-1-11-111-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i3211-111-1-11-111-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32-1-11-1-111-11-1-11-1-111-111−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ4911-111-1-1-1111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i3211-111-1-1-1111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32-1-11-1-1111-1-1-11-1-1111-11−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ50222-1-1-1-100222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200222-1-1-1-100222-1-1-1-100−1+i3−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i321+i321+i321+i3200-2-2-2111100-2-2-21111001−i31−i31−i3−1+i32−1+i32−1+i32−1+i32001+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200
χ5122-2-1-1110022-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i320022-2-1-1110022-2-1-11100−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200-2-2211-1-100-2-2211-1-1001−i31−i3−1+i3−1+i32−1+i321−i321−i32001+i31+i3−1−i3−1−i32−1−i321+i321+i3200
χ522-202-200002-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i300002-202-200002-202-20000−1+i31−i30−1+i31−i30000−1−i31+i30−1−i31+i30000-220-220000-220-2200001−i3−1+i301−i3−1+i300001+i3−1−i301+i3−1−i30000
χ532-20-11i3−i3002-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i32002-20-11i3−i3002-20-11i3−i300−1+i31−i301−i32−1+i32−3−i323+i3200−1−i31+i301+i32−1−i323−i32−3+i3200-2201-1−i3i300-2201-1−i3i3001−i3−1+i30−1+i321−i323+i32−3−i32001+i3−1−i30−1−i321+i32−3+i323−i3200
χ542-20-11−i3i3002-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i32002-20-11−i3i3002-20-11−i3i300−1+i31−i301−i32−1+i323+i32−3−i3200−1−i31+i301+i32−1−i32−3+i323−i3200-2201-1i3−i300-2201-1i3−i3001−i3−1+i30−1+i321−i32−3−i323+i32001+i3−1−i30−1−i321+i323−i32−3+i3200
χ55111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ561111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-111-1-1-1-1-1-1-1111+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5711-111-1-11-111-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i3211-111-1-11-111-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32-1-11-1-111-11-1-11-1-111-111+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ5811-111-1-1-1111-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i3211-111-1-1-1111-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32-1-11-1-1111-1-1-11-1-1111-11+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ59222-1-1-1-100222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200222-1-1-1-100222-1-1-1-100−1−i3−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i321−i321−i321−i3200-2-2-2111100-2-2-21111001+i31+i31+i3−1−i32−1−i32−1−i32−1−i32001−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200
χ6022-2-1-1110022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i320022-2-1-1110022-2-1-11100−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200-2-2211-1-100-2-2211-1-1001+i31+i3−1−i3−1−i32−1−i321+i321+i32001−i31−i3−1+i3−1+i32−1+i321−i321−i3200
χ612-202-200002-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i300002-202-200002-202-20000−1−i31+i30−1−i31+i30000−1+i31−i30−1+i31−i30000-220-220000-220-2200001+i3−1−i301+i3−1−i300001−i3−1+i301−i3−1+i30000
χ622-20-11i3−i3002-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i32002-20-11i3−i3002-20-11i3−i300−1−i31+i301+i32−1−i323−i32−3+i3200−1+i31−i301−i32−1+i32−3−i323+i3200-2201-1−i3i300-2201-1−i3i3001+i3−1−i30−1−i321+i32−3+i323−i32001−i3−1+i30−1+i321−i323+i32−3−i3200
χ632-20-11−i3i3002-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i32002-20-11−i3i3002-20-11−i3i300−1−i31+i301+i32−1−i32−3+i323−i3200−1+i31−i301−i32−1+i323+i32−3−i3200-2201-1i3−i300-2201-1i3−i3001+i3−1−i30−1−i321+i323−i32−3+i32001−i3−1+i30−1+i321−i32−3−i323+i3200
χ64333333333-1-1-1-1-1-1-1-1-1000000000000000000333333333-1-1-1-1-1-1-1-1-1000000000000000000-3-3-3-3-3-3-3-3-3111111111000000000000000000
χ653333333-3-3-1-1-1-1-1-1-1110000000000000000003333333-3-3-1-1-1-1-1-1-111000000000000000000-3-3-3-3-3-3-3331111111-1-1000000000000000000
χ6633-333-3-33-3-1-11-1-111-1100000000000000000033-333-3-33-3-1-11-1-111-11000000000000000000-3-33-3-333-3311-111-1-11-1000000000000000000
χ6733-333-3-3-33-1-11-1-1111-100000000000000000033-333-3-3-33-1-11-1-1111-1000000000000000000-3-33-3-3333-311-111-1-1-11000000000000000000
χ68666-3-3-3-300-2-2-2111100000000000000000000666-3-3-3-300-2-2-2111100000000000000000000-6-6-6333300222-1-1-1-100000000000000000000
χ6966-6-3-33300-2-2211-1-10000000000000000000066-6-3-33300-2-2211-1-100000000000000000000-6-6633-3-30022-2-1-11100000000000000000000
χ706-606-60000-220-2200000000000000000000006-606-60000-220-220000000000000000000000-660-6600002-202-20000000000000000000000
χ716-60-333i3−3i300-2201-1−i3i3000000000000000000006-60-333i3−3i300-2201-1−i3i300000000000000000000-6603-3−3i33i3002-20-11i3−i300000000000000000000
χ726-60-33−3i33i300-2201-1i3−i3000000000000000000006-60-33−3i33i300-2201-1i3−i300000000000000000000-6603-33i3−3i3002-20-11−i3i300000000000000000000
χ73222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ742222222-2-22222222-2-22222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111000000000000000000000000000000000000
χ7522-222-2-22-222-222-2-22-222-222-2-22-222-222-2-22-2-1-11-1-111-11-1-11-1-111-11-1-11-1-111-11-1-11-1-111-11000000000000000000000000000000000000
χ7622-222-2-2-2222-222-2-2-2222-222-2-2-2222-222-2-2-22-1-11-1-1111-1-1-11-1-1111-1-1-11-1-1111-1-1-11-1-1111-1000000000000000000000000000000000000
χ77444-2-2-2-200444-2-2-2-200444-2-2-2-200444-2-2-2-200-2-2-2111100-2-2-2111100-2-2-2111100-2-2-2111100000000000000000000000000000000000000
χ7844-4-2-2220044-4-2-2220044-4-2-2220044-4-2-22200-2-2211-1-100-2-2211-1-100-2-2211-1-100-2-2211-1-100000000000000000000000000000000000000
χ794-404-400004-404-400004-404-400004-404-40000-220-220000-220-220000-220-220000-220-220000000000000000000000000000000000000000
χ804-40-222i3−2i3004-40-222i3−2i3004-40-222i3−2i3004-40-222i3−2i300-2201-1−i3i300-2201-1−i3i300-2201-1−i3i300-2201-1−i3i300000000000000000000000000000000000000
χ814-40-22−2i32i3004-40-22−2i32i3004-40-22−2i32i3004-40-22−2i32i300-2201-1i3−i300-2201-1i3−i300-2201-1i3−i300-2201-1i3−i300000000000000000000000000000000000000
χ82222222222222222222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000000000
χ832222222-2-22222222-2-2−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3-1-1-1-1-1-1-111-1-1-1-1-1-1-1111−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32000000000000000000000000000000000000
χ8422-222-2-22-222-222-2-22-2−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3-1-11-1-111-11-1-11-1-111-111−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32000000000000000000000000000000000000
χ8522-222-2-2-2222-222-2-2-22−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3-1-11-1-1111-1-1-11-1-1111-11−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32000000000000000000000000000000000000
χ86444-2-2-2-200444-2-2-2-200−2+2i3−2+2i3−2+2i31−i31−i31−i31−i300−2−2i3−2−2i3−2−2i31+i31+i31+i31+i300-2-2-2111100-2-2-21111001−i31−i31−i3−1+i32−1+i32−1+i32−1+i32001+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200000000000000000000000000000000000000
χ8744-4-2-2220044-4-2-22200−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i300−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i300-2-2211-1-100-2-2211-1-1001−i31−i3−1+i3−1+i32−1+i321−i321−i32001+i31+i3−1−i3−1−i32−1−i321+i321+i3200000000000000000000000000000000000000
χ884-404-400004-404-40000−2+2i32−2i30−2+2i32−2i30000−2−2i32+2i30−2−2i32+2i30000-220-220000-220-2200001−i3−1+i301−i3−1+i300001+i3−1−i301+i3−1−i30000000000000000000000000000000000000000
χ894-40-222i3−2i3004-40-222i3−2i300−2+2i32−2i301−i3−1+i3−3−i33+i300−2−2i32+2i301+i3−1−i33−i3−3+i300-2201-1−i3i300-2201-1−i3i3001−i3−1+i30−1+i321−i323+i32−3−i32001+i3−1−i30−1−i321+i32−3+i323−i3200000000000000000000000000000000000000
χ904-40-22−2i32i3004-40-22−2i32i300−2+2i32−2i301−i3−1+i33+i3−3−i300−2−2i32+2i301+i3−1−i3−3+i33−i300-2201-1i3−i300-2201-1i3−i3001−i3−1+i30−1+i321−i32−3−i323+i32001+i3−1−i30−1−i321+i323−i32−3+i3200000000000000000000000000000000000000
χ91222222222222222222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000000000
χ922222222-2-22222222-2-2−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3-1-1-1-1-1-1-111-1-1-1-1-1-1-1111+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32000000000000000000000000000000000000
χ9322-222-2-22-222-222-2-22-2−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3-1-11-1-111-11-1-11-1-111-111+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32000000000000000000000000000000000000
χ9422-222-2-2-2222-222-2-2-22−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3-1-11-1-1111-1-1-11-1-1111-11+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32000000000000000000000000000000000000
χ95444-2-2-2-200444-2-2-2-200−2−2i3−2−2i3−2−2i31+i31+i31+i31+i300−2+2i3−2+2i3−2+2i31−i31−i31−i31−i300-2-2-2111100-2-2-21111001+i31+i31+i3−1−i32−1−i32−1−i32−1−i32001−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200000000000000000000000000000000000000
χ9644-4-2-2220044-4-2-22200−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i300−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i300-2-2211-1-100-2-2211-1-1001+i31+i3−1−i3−1−i32−1−i321+i321+i32001−i31−i3−1+i3−1+i32−1+i321−i321−i3200000000000000000000000000000000000000
χ974-404-400004-404-40000−2−2i32+2i30−2−2i32+2i30000−2+2i32−2i30−2+2i32−2i30000-220-220000-220-2200001+i3−1−i301+i3−1−i300001−i3−1+i301−i3−1+i30000000000000000000000000000000000000000
χ984-40-222i3−2i3004-40-222i3−2i300−2−2i32+2i301+i3−1−i33−i3−3+i300−2+2i32−2i301−i3−1+i3−3−i33+i300-2201-1−i3i300-2201-1−i3i3001+i3−1−i30−1−i321+i32−3+i323−i32001−i3−1+i30−1+i321−i323+i32−3−i3200000000000000000000000000000000000000
χ994-40-22−2i32i3004-40-22−2i32i300−2−2i32+2i301+i3−1−i3−3+i33−i300−2+2i32−2i301−i3−1+i33+i3−3−i300-2201-1i3−i300-2201-1i3−i3001+i3−1−i30−1−i321+i323−i32−3+i32001−i3−1+i30−1+i321−i32−3−i323+i3200000000000000000000000000000000000000
χ100666666666-2-2-2-2-2-2-2-2-2000000000000000000-3-3-3-3-3-3-3-3-3111111111000000000000000000000000000000000000000000000000000000
χ1016666666-6-6-2-2-2-2-2-2-222000000000000000000-3-3-3-3-3-3-3331111111-1-1000000000000000000000000000000000000000000000000000000
χ10266-666-6-66-6-2-22-2-222-22000000000000000000-3-33-3-333-3311-111-1-11-1000000000000000000000000000000000000000000000000000000
χ10366-666-6-6-66-2-22-2-2222-2000000000000000000-3-33-3-3333-311-111-1-1-11000000000000000000000000000000000000000000000000000000
χ104121212-6-6-6-600-4-4-4222200000000000000000000-6-6-6333300222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1051212-12-6-66600-4-4422-2-200000000000000000000-6-6633-3-30022-2-1-11100000000000000000000000000000000000000000000000000000000
χ10612-12012-120000-440-440000000000000000000000-660-6600002-202-20000000000000000000000000000000000000000000000000000000000
χ10712-120-666i3−6i300-4402-2−2i32i300000000000000000000-6603-3−3i33i3002-20-11i3−i300000000000000000000000000000000000000000000000000000000
χ10812-120-66−6i36i300-4402-22i3−2i300000000000000000000-6603-33i3−3i3002-20-11−i3i300000000000000000000000000000000000000000000000000000000

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