Finite Group Databasebeta

← Group #13147877

Character table — Group #13147877

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122244443444466612121212121212123366666612121212121212121212121212121212366612121212121212121212121212121212224444446666121212121212121212121212224444446666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-111-1-1111111-1-1-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-11-11111-1-1-1-111-1-111-1-1
χ101111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-11111-1-111-1-111
χ111111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-11-111111-1-1-1-1-1-111-1-111
χ121111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111-11-1-1-1-1-1111111-1-111-1-1
χ131111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111
χ172222222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-12-1222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ21222222222-2-2-2-22222222-2-2-2-22-12-1-1-1222222-1-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ22222222222-2-2-2-22222222-2-2-2-22-12-1-1-1222222-1-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ23222222222-2-2-2-22222222-2-2-2-2-12-1222-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ24222222222-2-2-2-22222222-2-2-2-2-12-1222-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ252222-2-2-2-2222-2-2222-2-2-2-222-2-22-12-1-1-122-2-2-2-21111-1-1-1-11111-1-1-1-122-2-21111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ262222-2-2-2-2222-2-2222-2-2-2-222-2-22-12-1-1-122-2-2-2-21111-1-1-1-11111-1-1-1-122-2-21111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ272222-2-2-2-2222-2-2222-2-2-2-222-2-2-12-1222-1-11111-2-2-2-22222-2-2-2-2-1-1-1-1-1-1111111-1-1-1-1111100000000000000000000000000002-22-200000000-1-111-1-111
χ282222-2-2-2-2222-2-2222-2-2-2-222-2-2-12-1222-1-11111-2-2-2-22222-2-2-2-2-1-1-1-1-1-1111111-1-1-1-111110000000000000000000000000000-22-220000000011-1-111-1-1
χ292222-2-2-2-22-2-222222-2-2-2-2-2-2222-12-1-1-122-2-2-2-211111111-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ302222-2-2-2-22-2-222222-2-2-2-2-2-2222-12-1-1-122-2-2-2-211111111-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ312222-2-2-2-22-2-222222-2-2-2-2-2-222-12-1222-1-11111-2-2-2-2-2-2-2-22222-1-1-1-111-1-111111111-1-1-1-100000000000000000000000000002-2-2200000000-1-11111-1-1
χ322222-2-2-2-22-2-222222-2-2-2-2-2-222-12-1222-1-11111-2-2-2-2-2-2-2-22222-1-1-1-111-1-111111111-1-1-1-10000000000000000000000000000-222-20000000011-1-1-1-111
χ3322-2-222-2-220000-2-2222-2-200002222-2-2-2-222-2-222-2-20000000022-2-2000022-2-20000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-2-222-2-220000-2-2222-2-200002222-2-2-2-222-2-222-2-20000000022-2-2000022-2-2000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-2-222-2-220000-2-2222-2-200002-12-111-2-222-2-2-1-11133−3−333−3−3-1-1110000-1-11133−3−333−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii000000000000000000000000
χ3622-2-222-2-220000-2-2222-2-200002-12-111-2-222-2-2-1-11133−3−333−3−3-1-1110000-1-11133−3−333−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i000000000000000000000000
χ3722-2-222-2-220000-2-2222-2-200002-12-111-2-222-2-2-1-111−3−333−3−333-1-1110000-1-111−3−333−3−33300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii000000000000000000000000
χ3822-2-222-2-220000-2-2222-2-200002-12-111-2-222-2-2-1-111−3−333−3−333-1-1110000-1-111−3−333−3−3330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i000000000000000000000000
χ3922-2-2-2-22220000-2-22-2-22200002222-2-2-2-2-2-222-2-2220000000022-2-20000-2-2220000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-2-2-2-22220000-2-22-2-22200002222-2-2-2-2-2-222-2-2220000000022-2-20000-2-222000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-2-2-2-22220000-2-22-2-22200002-12-111-2-2-2-22211-1-133−3−3−3−333-1-111000011-1-133−3−3−3−33300002i−2i−2i2i−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i000000000000000000000000
χ4222-2-2-2-22220000-2-22-2-22200002-12-111-2-2-2-22211-1-133−3−3−3−333-1-111000011-1-133−3−3−3−3330000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii000000000000000000000000
χ4322-2-2-2-22220000-2-22-2-22200002-12-111-2-2-2-22211-1-1−3−33333−3−3-1-111000011-1-1−3−33333−3−300002i−2i−2i2ii3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i000000000000000000000000
χ4422-2-2-2-22220000-2-22-2-22200002-12-111-2-2-2-22211-1-1−3−33333−3−3-1-111000011-1-1−3−33333−3−30000−2i2i2i−2i−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii000000000000000000000000
χ452-22-22i−2i2i−2i200002-2-22i−2i2i−2i000022-2-22-22-22i−2i2i−2i2i−2i2i−2i000000002-22-200002i−2i2i−2i000000002-22i−2i00002-22-22i−2i2i−2i00000000000000000000000000000000
χ462-22-22i−2i2i−2i200002-2-22i−2i2i−2i000022-2-22-22-22i−2i2i−2i2i−2i2i−2i000000002-22-200002i−2i2i−2i00000000-22−2i2i0000-22-22−2i2i−2i2i00000000000000000000000000000000
χ472-22-22i−2i2i−2i200002-2-22i−2i2i−2i00002-1-21-112-22i−2i2i−2i−ii−ii3−33−3−i3i3−i3i3-11-110000−ii−ii3−33−3−i3i3−i3i32-22i−2i0000-11-11−ii−ii3−33−3−i3i3−i3i3000000000000000000000000
χ482-22-22i−2i2i−2i200002-2-22i−2i2i−2i00002-1-21-112-22i−2i2i−2i−ii−ii3−33−3−i3i3−i3i3-11-110000−ii−ii3−33−3−i3i3−i3i3-22−2i2i00001-11-1i−ii−i−33−33i3−i3i3−i3000000000000000000000000
χ492-22-22i−2i2i−2i200002-2-22i−2i2i−2i00002-1-21-112-22i−2i2i−2i−ii−ii−33−33i3−i3i3−i3-11-110000−ii−ii−33−33i3−i3i3−i32-22i−2i0000-11-11−ii−ii−33−33i3−i3i3−i3000000000000000000000000
χ502-22-22i−2i2i−2i200002-2-22i−2i2i−2i00002-1-21-112-22i−2i2i−2i−ii−ii−33−33i3−i3i3−i3-11-110000−ii−ii−33−33i3−i3i3−i3-22−2i2i00001-11-1i−ii−i3−33−3−i3i3−i3i3000000000000000000000000
χ512-22-2−2i2i−2i2i200002-2-2−2i2i−2i2i000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000002-22-20000−2i2i−2i2i000000002-2−2i2i00002-22-2−2i2i−2i2i00000000000000000000000000000000
χ522-22-2−2i2i−2i2i200002-2-2−2i2i−2i2i000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000002-22-20000−2i2i−2i2i00000000-222i−2i0000-22-222i−2i2i−2i00000000000000000000000000000000
χ532-22-2−2i2i−2i2i200002-2-2−2i2i−2i2i00002-1-21-112-2−2i2i−2i2ii−ii−i3−33−3i3−i3i3−i3-11-110000i−ii−i3−33−3i3−i3i3−i32-2−2i2i0000-11-11i−ii−i3−33−3i3−i3i3−i3000000000000000000000000
χ542-22-2−2i2i−2i2i200002-2-2−2i2i−2i2i00002-1-21-112-2−2i2i−2i2ii−ii−i3−33−3i3−i3i3−i3-11-110000i−ii−i3−33−3i3−i3i3−i3-222i−2i00001-11-1−ii−ii−33−33−i3i3−i3i3000000000000000000000000
χ552-22-2−2i2i−2i2i200002-2-2−2i2i−2i2i00002-1-21-112-2−2i2i−2i2ii−ii−i−33−33−i3i3−i3i3-11-110000i−ii−i−33−33−i3i3−i3i32-2−2i2i0000-11-11i−ii−i−33−33−i3i3−i3i3000000000000000000000000
χ562-22-2−2i2i−2i2i200002-2-2−2i2i−2i2i00002-1-21-112-2−2i2i−2i2ii−ii−i−33−33−i3i3−i3i3-11-110000i−ii−i−33−33−i3i3−i3i3-222i−2i00001-11-1−ii−ii3−33−3i3−i3i3−i3000000000000000000000000
χ572-2-222i−2i−2i2i22-22i−2i-22-22i−2i−2i2i2-22i−2i22-2-2-22-222i−2i−2i2i2i−2i−2i2i2-2-22−2i2i2i−2i2-2-222-22i−2i2i−2i−2i2i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000
χ582-2-222i−2i−2i2i22-22i−2i-22-22i−2i−2i2i2-22i−2i2-1-211-1-222i−2i−2i2i−iii−i-111-1i−i−ii-111-12-22i−2i−iii−i-111-1i−i−ii00000000−i3i3i3−i33−3−33−i3i3i3−i3−333−3000000000000000000000000
χ592-2-222i−2i−2i2i22-22i−2i-22-22i−2i−2i2i2-22i−2i2-1-211-1-222i−2i−2i2i−iii−i-111-1i−i−ii-111-12-22i−2i−iii−i-111-1i−i−ii00000000i3−i3−i3i3−333−3i3−i3−i3i33−3−33000000000000000000000000
χ602-2-222i−2i−2i2i22-22i−2i-22-22i−2i−2i2i2-22i−2i-121-2-221-1−iii−i2i−2i−2i2i2-2-22−2i2i2i−2i-111-1-11−ii−iii−i-111-1i−i−ii00000000000000000000000000000000000000003−3−i3i33−3−i3i3
χ612-2-222i−2i−2i2i22-22i−2i-22-22i−2i−2i2i2-22i−2i-121-2-221-1−iii−i2i−2i−2i2i2-2-22−2i2i2i−2i-111-1-11−ii−iii−i-111-1i−i−ii0000000000000000000000000000000000000000−33i3−i3−33i3−i3
χ622-2-222i−2i−2i2i2-22−2i2i-22-22i−2i−2i2i-22−2i2i22-2-2-22-222i−2i−2i2i2i−2i−2i2i-222-22i−2i−2i2i2-2-22-22−2i2i2i−2i−2i2i-222-22i−2i−2i2i000000000000000000000000000000000000000000000000
χ632-2-222i−2i−2i2i2-22−2i2i-22-22i−2i−2i2i-22−2i2i2-1-211-1-222i−2i−2i2i−iii−i1-1-11−iii−i-111-1-22−2i2i−iii−i1-1-11−iii−i00000000−i3i3i3−i33−3−33i3−i3−i3i33−3−33000000000000000000000000
χ642-2-222i−2i−2i2i2-22−2i2i-22-22i−2i−2i2i-22−2i2i2-1-211-1-222i−2i−2i2i−iii−i1-1-11−iii−i-111-1-22−2i2i−iii−i1-1-11−iii−i00000000i3−i3−i3i3−333−3−i3i3i3−i3−333−3000000000000000000000000
χ652-2-222i−2i−2i2i2-22−2i2i-22-22i−2i−2i2i-22−2i2i-121-2-221-1−iii−i2i−2i−2i2i-222-22i−2i−2i2i-111-11-1i−i−iii−i1-1-11−iii−i00000000000000000000000000000000000000003−3−i3i3−33i3−i3
χ662-2-222i−2i−2i2i2-22−2i2i-22-22i−2i−2i2i-22−2i2i-121-2-221-1−iii−i2i−2i−2i2i-222-22i−2i−2i2i-111-11-1i−i−iii−i1-1-11−iii−i0000000000000000000000000000000000000000−33i3−i33−3−i3i3
χ672-2-22−2i2i2i−2i22-2−2i2i-22-2−2i2i2i−2i2-2−2i2i22-2-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i2-2-222-2−2i2i−2i2i2i−2i2-2-222i−2i−2i2i000000000000000000000000000000000000000000000000
χ682-2-22−2i2i2i−2i22-2−2i2i-22-2−2i2i2i−2i2-2−2i2i2-1-211-1-22−2i2i2i−2ii−i−ii-111-1−iii−i-111-12-2−2i2ii−i−ii-111-1−iii−i00000000−i3i3i3−i3−333−3−i3i3i3−i33−3−33000000000000000000000000
χ692-2-22−2i2i2i−2i22-2−2i2i-22-2−2i2i2i−2i2-2−2i2i2-1-211-1-22−2i2i2i−2ii−i−ii-111-1−iii−i-111-12-2−2i2ii−i−ii-111-1−iii−i00000000i3−i3−i3i33−3−33i3−i3−i3i3−333−3000000000000000000000000
χ702-2-22−2i2i2i−2i22-2−2i2i-22-2−2i2i2i−2i2-2−2i2i-121-2-221-1i−i−ii−2i2i2i−2i2-2-222i−2i−2i2i-111-1-11i−ii−i−ii-111-1−iii−i00000000000000000000000000000000000000003−3i3−i33−3i3−i3
χ712-2-22−2i2i2i−2i22-2−2i2i-22-2−2i2i2i−2i2-2−2i2i-121-2-221-1i−i−ii−2i2i2i−2i2-2-222i−2i−2i2i-111-1-11i−ii−i−ii-111-1−iii−i0000000000000000000000000000000000000000−33−i3i3−33−i3i3
χ722-2-22−2i2i2i−2i2-222i−2i-22-2−2i2i2i−2i-222i−2i22-2-2-22-22−2i2i2i−2i−2i2i2i−2i-222-2−2i2i2i−2i2-2-22-222i−2i−2i2i2i−2i-222-2−2i2i2i−2i000000000000000000000000000000000000000000000000
χ732-2-22−2i2i2i−2i2-222i−2i-22-2−2i2i2i−2i-222i−2i2-1-211-1-22−2i2i2i−2ii−i−ii1-1-11i−i−ii-111-1-222i−2ii−i−ii1-1-11i−i−ii00000000−i3i3i3−i3−333−3i3−i3−i3i3−333−3000000000000000000000000
χ742-2-22−2i2i2i−2i2-222i−2i-22-2−2i2i2i−2i-222i−2i2-1-211-1-22−2i2i2i−2ii−i−ii1-1-11i−i−ii-111-1-222i−2ii−i−ii1-1-11i−i−ii00000000i3−i3−i3i33−3−33−i3i3i3−i33−3−33000000000000000000000000
χ752-2-22−2i2i2i−2i2-222i−2i-22-2−2i2i2i−2i-222i−2i-121-2-221-1i−i−ii−2i2i2i−2i-222-2−2i2i2i−2i-111-11-1−iii−i−ii1-1-11i−i−ii00000000000000000000000000000000000000003−3i3−i3−33−i3i3
χ762-2-22−2i2i2i−2i2-222i−2i-22-2−2i2i2i−2i-222i−2i-121-2-221-1i−i−ii−2i2i2i−2i-222-2−2i2i2i−2i-111-11-1−iii−i−ii1-1-11i−i−ii0000000000000000000000000000000000000000−33−i3i33−3i3−i3
χ77444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2111111111111000000000000000000000000000000000000000000000000
χ78444444444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222111122221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ794444-4-4-4-4444-4-4444-4-4-4-444-4-4-2-2-2-2-2-2-2-222222222-2-2-2-222221111-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ804444-4-4-4-44-4-444444-4-4-4-4-4-444-2-2-2-2-2-2-2-2222222222222-2-2-2-2111122-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ8144-4-444-4-440000-4-4444-4-40000-24-24-4-422-2-22244-4-400000000-2-2220000-2-22200000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-440000-4-4444-4-40000-2-2-2-22222-2-222-2-2222323−23−232323−23−2311-1-1000011-1-1−3−333−3−333000000000000000000000000000000000000000000000000
χ8344-4-444-4-440000-4-4444-4-40000-2-2-2-22222-2-222-2-222−23−232323−23−23232311-1-1000011-1-133−3−333−3−3000000000000000000000000000000000000000000000000
χ8444-4-4-4-44440000-4-44-4-4440000-24-24-4-42222-2-2-4-44400000000-2-222000022-2-200000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-44440000-4-44-4-4440000-2-2-2-2222222-2-222-2-22323−23−23−23−23232311-1-10000-1-111−3−33333−3−3000000000000000000000000000000000000000000000000
χ8644-4-4-4-44440000-4-44-4-4440000-2-2-2-2222222-2-222-2-2−23−2323232323−23−2311-1-10000-1-11133−3−3−3−333000000000000000000000000000000000000000000000000
χ874-44-44i−4i4i−4i400004-4-44i−4i4i−4i0000-242-44-4-22−2i2i−2i2i4i−4i4i−4i00000000-22-220000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ884-44-44i−4i4i−4i400004-4-44i−4i4i−4i0000-2-222-22-22−2i2i−2i2i−2i2i−2i2i23−2323−23−2i32i3−2i32i31-11-10000i−ii−i−33−33i3−i3i3−i3000000000000000000000000000000000000000000000000
χ894-44-44i−4i4i−4i400004-4-44i−4i4i−4i0000-2-222-22-22−2i2i−2i2i−2i2i−2i2i−2323−23232i3−2i32i3−2i31-11-10000i−ii−i3−33−3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ904-44-4−4i4i−4i4i400004-4-4−4i4i−4i4i0000-242-44-4-222i−2i2i−2i−4i4i−4i4i00000000-22-2200002i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ914-44-4−4i4i−4i4i400004-4-4−4i4i−4i4i0000-2-222-22-222i−2i2i−2i2i−2i2i−2i23−2323−232i3−2i32i3−2i31-11-10000−ii−ii−33−33−i3i3−i3i3000000000000000000000000000000000000000000000000
χ924-44-4−4i4i−4i4i400004-4-4−4i4i−4i4i0000-2-222-22-222i−2i2i−2i2i−2i2i−2i−2323−2323−2i32i3−2i32i31-11-10000−ii−ii3−33−3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ934-4-444i−4i−4i4i44-44i−4i-44-44i−4i−4i4i4-44i−4i-2-2222-22-2−2i2i2i−2i−2i2i2i−2i-222-22i−2i−2i2i1-1-11-22−2i2ii−i−ii1-1-11−iii−i000000000000000000000000000000000000000000000000
χ944-4-444i−4i−4i4i4-44−4i4i-44-44i−4i−4i4i-44−4i4i-2-2222-22-2−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i2i−2i1-1-112-22i−2ii−i−ii-111-1i−i−ii000000000000000000000000000000000000000000000000
χ954-4-44−4i4i4i−4i44-4−4i4i-44-4−4i4i4i−4i4-4−4i4i-2-2222-22-22i−2i−2i2i2i−2i−2i2i-222-2−2i2i2i−2i1-1-11-222i−2i−iii−i1-1-11i−i−ii000000000000000000000000000000000000000000000000
χ964-4-44−4i4i4i−4i4-444i−4i-44-4−4i4i4i−4i-444i−4i-2-2222-22-22i−2i−2i2i2i−2i−2i2i2-2-222i−2i−2i2i1-1-112-2−2i2i−iii−i-111-1−iii−i000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200001111111100000000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002-22-20000-1-111-1-11100000000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-22-22000011-1-111-1-100000000
χ1016666-6-6-6-6-366-6-6-3-3-33333-3-3330000000000000000000000000000000000000000000000000000000000000000000022-2-20000-1-1-1-1111100000000
χ1026666-6-6-6-6-366-6-6-3-3-33333-3-33300000000000000000000000000000000000000000000000000000000000000000000-2-22200001111-1-1-1-100000000
χ1036666-6-6-6-6-3-6-666-3-3-3333333-3-3000000000000000000000000000000000000000000000000000000000000000000002-2-220000-1-11111-1-100000000
χ1046666-6-6-6-6-3-6-666-3-3-3333333-3-300000000000000000000000000000000000000000000000000000000000000000000-222-2000011-1-1-1-11100000000
χ1056-6-666i−6i−6i6i-36-66i−6i3-33−3i3i3i−3i-33−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i33−33−300000000
χ1066-6-666i−6i−6i6i-36-66i−6i3-33−3i3i3i−3i-33−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i3−33−3300000000
χ1076-6-666i−6i−6i6i-3-66−6i6i3-33−3i3i3i−3i3-33i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i33−3−3300000000
χ1086-6-666i−6i−6i6i-3-66−6i6i3-33−3i3i3i−3i3-33i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3−333−300000000
χ1096-6-66−6i6i6i−6i-36-6−6i6i3-333i−3i−3i3i-333i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i3−33−3300000000
χ1106-6-66−6i6i6i−6i-36-6−6i6i3-333i−3i−3i3i-333i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i33−33−300000000
χ1116-6-66−6i6i6i−6i-3-666i−6i3-333i−3i−3i3i3-3−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3−333−300000000
χ1126-6-66−6i6i6i−6i-3-666i−6i3-333i−3i−3i3i3-3−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i33−3−3300000000
χ1131212-12-121212-12-12-6000066-6-6-666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-12-121212-6000066-666-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-1212-1212i−12i12i−12i-60000-666−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-1212-12−12i12i−12i12i-60000-6666i−6i6i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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