Finite Group Databasebeta

← Group #13147834

Character table — Group #13147834

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12224444344446661212121212121212336666661212121212121212121212121212121236661212121212121212121212121212121222444444666612121212121212121212121222224444666666661212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ6111111111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111
χ7111111111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-11111-1-1-1-111
χ8111111111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-1-1-11111-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ101111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ111111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ121111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ131111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11-111-111-1-1-1-111-1-11111-1-1
χ141111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-11-1-11-1-11111-1-111-1-1-1-111
χ151111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-111
χ161111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-1
χ172222222222222222222222222-1-1-1222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000002200220000-1-1-1-10000-1-1-1-1
χ182222222222222222222222222-1-1-1222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200-2-20000111100001111
χ19222222222222222222222222-1222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ20222222222222222222222222-1222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ21222222222-2-2-2-22222222-2-2-2-22-1-1-1222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111000000000000000000000000002-2002-20000-1-1110000-1-111
χ22222222222-2-2-2-22222222-2-2-2-22-1-1-1222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-11111111100000000000000000000000000-2200-22000011-1-1000011-1-1
χ23222222222-2-2-2-22222222-2-2-2-2-1222-1-1-12-1-1-1-1111111112222-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ24222222222-2-2-2-22222222-2-2-2-2-1222-1-1-12-1-1-1-1111111112222-1-1-1-1-2-2-2-2-1-1-1-111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ252222-2-2-2-2222-2-2222-2-2-2-222-2-22-1-1-1222-1-2-2-2-22222-2-2-2-21111-1-1-1-1-1-1111111-1-1-1-11111000000000000000000000000002200-2-20000-1-1-1-100001111
χ262222-2-2-2-2222-2-2222-2-2-2-222-2-22-1-1-1222-1-2-2-2-22222-2-2-2-21111-1-1-1-1-1-1111111-1-1-1-1111100000000000000000000000000-2-20022000011110000-1-1-1-1
χ272222-2-2-2-2222-2-2222-2-2-2-222-2-2-1222-1-1-121111-1-1-1-11111-2-2-2-2-1-1-1-122-2-21111-1-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ282222-2-2-2-2222-2-2222-2-2-2-222-2-2-1222-1-1-121111-1-1-1-11111-2-2-2-2-1-1-1-122-2-21111-1-1-1-11111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ292222-2-2-2-22-2-222222-2-2-2-2-2-2222-1-1-1222-1-2-2-2-2-2-2-2-222221111-1-1-1-111-1-111111111-1-1-1-1000000000000000000000000002-200-220000-1-111000011-1-1
χ302222-2-2-2-22-2-222222-2-2-2-2-2-2222-1-1-1222-1-2-2-2-2-2-2-2-222221111-1-1-1-111-1-111111111-1-1-1-100000000000000000000000000-22002-2000011-1-10000-1-111
χ312222-2-2-2-22-2-222222-2-2-2-2-2-222-1222-1-1-1211111111-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ322222-2-2-2-22-2-222222-2-2-2-2-2-222-1222-1-1-1211111111-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-1-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ3322-2-22i2i−2i−2i200002-2-22i2i−2i−2i0000222-22-2-2-22i2i−2i−2i000000002i2i−2i−2i22-2-200002i2i−2i−2i00000000002i−2i2-200000000002i2i−2i−2i22-2-2000000000000000000000000
χ3422-2-22i2i−2i−2i200002-2-22i2i−2i−2i0000222-22-2-2-22i2i−2i−2i000000002i2i−2i−2i22-2-200002i2i−2i−2i0000000000−2i2i-220000000000−2i−2i2i2i-2-222000000000000000000000000
χ3522-2-22i2i−2i−2i200002-2-22i2i−2i−2i0000-122-2-111-2−i−iii33−3−3−i3−i3i3i32i2i−2i−2i-1-1110000−i−iii33−3−3−i3−i3i3i3002i−2i2-200−i3−i3i3i333−3−3−i−iii-1-111000000000000000000000000
χ3622-2-22i2i−2i−2i200002-2-22i2i−2i−2i0000-122-2-111-2−i−iii33−3−3−i3−i3i3i32i2i−2i−2i-1-1110000−i−iii33−3−3−i3−i3i3i300−2i2i-2200i3i3−i3−i3−3−333ii−i−i11-1-1000000000000000000000000
χ3722-2-22i2i−2i−2i200002-2-22i2i−2i−2i0000-122-2-111-2−i−iii−3−333i3i3−i3−i32i2i−2i−2i-1-1110000−i−iii−3−333i3i3−i3−i3002i−2i2-200i3i3−i3−i3−3−333−i−iii-1-111000000000000000000000000
χ3822-2-22i2i−2i−2i200002-2-22i2i−2i−2i0000-122-2-111-2−i−iii−3−333i3i3−i3−i32i2i−2i−2i-1-1110000−i−iii−3−333i3i3−i3−i300−2i2i-2200−i3−i3i3i333−3−3ii−i−i11-1-1000000000000000000000000
χ3922-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i0000222-22-2-2-2−2i−2i2i2i00000000−2i−2i2i2i22-2-20000−2i−2i2i2i00000000002i−2i-2200000000002i2i−2i−2i-2-222000000000000000000000000
χ4022-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i0000222-22-2-2-2−2i−2i2i2i00000000−2i−2i2i2i22-2-20000−2i−2i2i2i0000000000−2i2i2-20000000000−2i−2i2i2i22-2-2000000000000000000000000
χ4122-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i0000-122-2-111-2ii−i−i33−3−3i3i3−i3−i3−2i−2i2i2i-1-1110000ii−i−i33−3−3i3i3−i3−i3002i−2i-2200−i3−i3i3i3−3−333−i−iii11-1-1000000000000000000000000
χ4222-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i0000-122-2-111-2ii−i−i33−3−3i3i3−i3−i3−2i−2i2i2i-1-1110000ii−i−i33−3−3i3i3−i3−i300−2i2i2-200i3i3−i3−i333−3−3ii−i−i-1-111000000000000000000000000
χ4322-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i0000-122-2-111-2ii−i−i−3−333−i3−i3i3i3−2i−2i2i2i-1-1110000ii−i−i−3−333−i3−i3i3i3002i−2i-2200i3i3−i3−i333−3−3−i−iii11-1-1000000000000000000000000
χ4422-2-2−2i−2i2i2i200002-2-2−2i−2i2i2i0000-122-2-111-2ii−i−i−3−333−i3−i3i3i3−2i−2i2i2i-1-1110000ii−i−i−3−333−i3−i3i3i300−2i2i2-200−i3−i3i3i3−3−333ii−i−i-1-111000000000000000000000000
χ452-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22i−2i22-22-22-2-22i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i2-22-22-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000000000000000000000000000000
χ462-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22i−2i2-11-1-22-212i−2i2i−2i2-22-22i−2i2i−2i−ii−ii-11-11-11−ii−ii−ii-11-11−ii−ii000000000000000000000000000000000000−i3i3−i3i300003−33−3
χ472-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22i−2i2-11-1-22-212i−2i2i−2i2-22-22i−2i2i−2i−ii−ii-11-11-11−ii−ii−ii-11-11−ii−ii000000000000000000000000000000000000i3−i3i3−i30000−33−33
χ482-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22i−2i-12-221-11-2−ii−ii-11-11−ii−ii2i−2i2i−2i-11-112-22i−2i−ii−ii-11-11−ii−ii00000000−i3i3−i3i33−33−3−i3i3−i3i33−33−3000000000000000000000000
χ492-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22i−2i-12-221-11-2−ii−ii-11-11−ii−ii2i−2i2i−2i-11-112-22i−2i−ii−ii-11-11−ii−ii00000000i3−i3i3−i3−33−33i3−i3i3−i3−33−33000000000000000000000000
χ502-22-22i−2i2i−2i2-22−2i2i-22-22i−2i2i−2i-22−2i2i22-22-22-2-22i−2i2i−2i-22-22−2i2i−2i2i2i−2i2i−2i2-22-2-22−2i2i2i−2i2i−2i-22-22−2i2i−2i2i000000000000000000000000000000000000000000000000
χ512-22-22i−2i2i−2i2-22−2i2i-22-22i−2i2i−2i-22−2i2i2-11-1-22-212i−2i2i−2i-22-22−2i2i−2i2i−ii−ii-11-111-1i−i−ii−ii1-11-1i−ii−i000000000000000000000000000000000000−i3i3i3−i300003−3−33
χ522-22-22i−2i2i−2i2-22−2i2i-22-22i−2i2i−2i-22−2i2i2-11-1-22-212i−2i2i−2i-22-22−2i2i−2i2i−ii−ii-11-111-1i−i−ii−ii1-11-1i−ii−i000000000000000000000000000000000000i3−i3−i3i30000−333−3
χ532-22-22i−2i2i−2i2-22−2i2i-22-22i−2i2i−2i-22−2i2i-12-221-11-2−ii−ii1-11-1i−ii−i2i−2i2i−2i-11-11-22−2i2i−ii−ii1-11-1i−ii−i00000000−i3i3−i3i33−33−3i3−i3i3−i3−33−33000000000000000000000000
χ542-22-22i−2i2i−2i2-22−2i2i-22-22i−2i2i−2i-22−2i2i-12-221-11-2−ii−ii1-11-1i−ii−i2i−2i2i−2i-11-11-22−2i2i−ii−ii1-11-1i−ii−i00000000i3−i3i3−i3−33−33−i3i3−i3i33−33−3000000000000000000000000
χ552-22-2−2i2i−2i2i22-2−2i2i-22-2−2i2i−2i2i2-2−2i2i22-22-22-2-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000000000000000000000000000000000000
χ562-22-2−2i2i−2i2i22-2−2i2i-22-2−2i2i−2i2i2-2−2i2i2-11-1-22-21−2i2i−2i2i2-22-2−2i2i−2i2ii−ii−i-11-11-11i−ii−ii−i-11-11i−ii−i000000000000000000000000000000000000−i3i3−i3i30000−33−33
χ572-22-2−2i2i−2i2i22-2−2i2i-22-2−2i2i−2i2i2-2−2i2i2-11-1-22-21−2i2i−2i2i2-22-2−2i2i−2i2ii−ii−i-11-11-11i−ii−ii−i-11-11i−ii−i000000000000000000000000000000000000i3−i3i3−i300003−33−3
χ582-22-2−2i2i−2i2i22-2−2i2i-22-2−2i2i−2i2i2-2−2i2i-12-221-11-2i−ii−i-11-11i−ii−i−2i2i−2i2i-11-112-2−2i2ii−ii−i-11-11i−ii−i00000000−i3i3−i3i3−33−33−i3i3−i3i3−33−33000000000000000000000000
χ592-22-2−2i2i−2i2i22-2−2i2i-22-2−2i2i−2i2i2-2−2i2i-12-221-11-2i−ii−i-11-11i−ii−i−2i2i−2i2i-11-112-2−2i2ii−ii−i-11-11i−ii−i00000000i3−i3i3−i33−33−3i3−i3i3−i33−33−3000000000000000000000000
χ602-22-2−2i2i−2i2i2-222i−2i-22-2−2i2i−2i2i-222i−2i22-22-22-2-2−2i2i−2i2i-22-222i−2i2i−2i−2i2i−2i2i2-22-2-222i−2i−2i2i−2i2i-22-222i−2i2i−2i000000000000000000000000000000000000000000000000
χ612-22-2−2i2i−2i2i2-222i−2i-22-2−2i2i−2i2i-222i−2i2-11-1-22-21−2i2i−2i2i-22-222i−2i2i−2ii−ii−i-11-111-1−iii−ii−i1-11-1−ii−ii000000000000000000000000000000000000−i3i3i3−i30000−333−3
χ622-22-2−2i2i−2i2i2-222i−2i-22-2−2i2i−2i2i-222i−2i2-11-1-22-21−2i2i−2i2i-22-222i−2i2i−2ii−ii−i-11-111-1−iii−ii−i1-11-1−ii−ii000000000000000000000000000000000000i3−i3−i3i300003−3−33
χ632-22-2−2i2i−2i2i2-222i−2i-22-2−2i2i−2i2i-222i−2i-12-221-11-2i−ii−i1-11-1−ii−ii−2i2i−2i2i-11-11-222i−2ii−ii−i1-11-1−ii−ii00000000−i3i3−i3i3−33−33i3−i3i3−i33−33−3000000000000000000000000
χ642-22-2−2i2i−2i2i2-222i−2i-22-2−2i2i−2i2i-222i−2i-12-221-11-2i−ii−i1-11-1−ii−ii−2i2i−2i2i-11-11-222i−2ii−ii−i1-11-1−ii−ii00000000i3−i3i3−i33−33−3−i3i3−i3i3−33−33000000000000000000000000
χ652-2-222-2-2220000-2-222-2-22000022-2-2-2-2222-2-22000000002-2-222-2-2200002-2-22000000002-200002-22-2-222-2-2200000000000000000000000000000000
χ662-2-222-2-2220000-2-222-2-22000022-2-2-2-2222-2-22000000002-2-222-2-2200002-2-2200000000-220000-22-222-2-222-200000000000000000000000000000000
χ672-2-222-2-2220000-2-222-2-220000-12-2-211-12-111-13−3−33−333−32-2-22-111-10000-111-13−3−33−333−32-200002-2-111-1-111-13−3−33−333−3000000000000000000000000
χ682-2-222-2-2220000-2-222-2-220000-12-2-211-12-111-13−3−33−333−32-2-22-111-10000-111-13−3−33−333−3-220000-221-1-111-1-11−333−33−3−33000000000000000000000000
χ692-2-222-2-2220000-2-222-2-220000-12-2-211-12-111-1−333−33−3−332-2-22-111-10000-111-1−333−33−3−332-200002-2-111-1-111-1−333−33−3−33000000000000000000000000
χ702-2-222-2-2220000-2-222-2-220000-12-2-211-12-111-1−333−33−3−332-2-22-111-10000-111-1−333−33−3−33-220000-221-1-111-1-113−3−33−333−3000000000000000000000000
χ712-2-22-222-220000-2-22-222-2000022-2-2-2-222-222-200000000-222-22-2-220000-222-2000000002-20000-222-2-22-222-200000000000000000000000000000000
χ722-2-22-222-220000-2-22-222-2000022-2-2-2-222-222-200000000-222-22-2-220000-222-200000000-2200002-2-222-22-2-2200000000000000000000000000000000
χ732-2-22-222-220000-2-22-222-20000-12-2-211-121-1-113−3−333−3−33-222-2-111-100001-1-113−3−333−3−332-20000-22-111-11-1-113−3−333−3−33000000000000000000000000
χ742-2-22-222-220000-2-22-222-20000-12-2-211-121-1-113−3−333−3−33-222-2-111-100001-1-113−3−333−3−33-2200002-21-1-11-111-1−333−3−333−3000000000000000000000000
χ752-2-22-222-220000-2-22-222-20000-12-2-211-121-1-11−333−3−333−3-222-2-111-100001-1-11−333−3−333−32-20000-22-111-11-1-11−333−3−333−3000000000000000000000000
χ762-2-22-222-220000-2-22-222-20000-12-2-211-121-1-11−333−3−333−3-222-2-111-100001-1-11−333−3−333−3-2200002-21-1-11-111-13−3−333−3−33000000000000000000000000
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
χ78444444444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2111122221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ794444-4-4-4-4444-4-4444-4-4-4-444-4-4-2-2-2-2-2-2-2-22222-2-2-2-2222222221111-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ804444-4-4-4-44-4-444444-4-4-4-4-4-444-2-2-2-2-2-2-2-222222222-2-2-2-22222111122-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ8144-4-44i4i−4i−4i400004-4-44i4i−4i−4i00004-2-224-4-424i4i−4i−4i00000000−2i−2i2i2i-2-2220000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ8244-4-44i4i−4i−4i400004-4-44i4i−4i−4i0000-2-2-22-2222−2i−2i2i2i2323−23−23−2i3−2i32i32i3−2i−2i2i2i11-1-10000ii−i−i−3−333i3i3−i3−i3000000000000000000000000000000000000000000000000
χ8344-4-44i4i−4i−4i400004-4-44i4i−4i−4i0000-2-2-22-2222−2i−2i2i2i−23−2323232i32i3−2i3−2i3−2i−2i2i2i11-1-10000ii−i−i33−3−3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8444-4-4−4i−4i4i4i400004-4-4−4i−4i4i4i00004-2-224-4-42−4i−4i4i4i000000002i2i−2i−2i-2-22200002i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ8544-4-4−4i−4i4i4i400004-4-4−4i−4i4i4i0000-2-2-22-22222i2i−2i−2i2323−23−232i32i3−2i3−2i32i2i−2i−2i11-1-10000−i−iii−3−333−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8644-4-4−4i−4i4i4i400004-4-4−4i−4i4i4i0000-2-2-22-22222i2i−2i−2i−23−232323−2i3−2i32i32i32i2i−2i−2i11-1-10000−i−iii33−3−3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ874-44-44i−4i4i−4i44-44i−4i-44-44i−4i4i−4i4-44i−4i-2-22-22-222−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i1-11-1-22−2i2ii−ii−i1-11-1i−ii−i000000000000000000000000000000000000000000000000
χ884-44-44i−4i4i−4i4-44−4i4i-44-44i−4i4i−4i-44−4i4i-2-22-22-222−2i2i−2i2i2-22-22i−2i2i−2i−2i2i−2i2i1-11-12-22i−2ii−ii−i-11-11−ii−ii000000000000000000000000000000000000000000000000
χ894-44-4−4i4i−4i4i44-4−4i4i-44-4−4i4i−4i4i4-4−4i4i-2-22-22-2222i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i1-11-1-222i−2i−ii−ii1-11-1−ii−ii000000000000000000000000000000000000000000000000
χ904-44-4−4i4i−4i4i4-444i−4i-44-4−4i4i−4i4i-444i−4i-2-22-22-2222i−2i2i−2i2-22-2−2i2i−2i2i2i−2i2i−2i1-11-12-2−2i2i−ii−ii-11-11i−ii−i000000000000000000000000000000000000000000000000
χ914-4-444-4-4440000-4-444-4-4400004-222-4-44-24-4-4400000000-222-2-222-20000-222-200000000000000000000000000000000000000000000000000000000
χ924-4-444-4-4440000-4-444-4-440000-2-22222-2-2-222-223−23−2323−232323−23-222-21-1-1100001-1-11−333−33−3−33000000000000000000000000000000000000000000000000
χ934-4-444-4-4440000-4-444-4-440000-2-22222-2-2-222-2−232323−2323−23−2323-222-21-1-1100001-1-113−3−33−333−3000000000000000000000000000000000000000000000000
χ944-4-44-444-440000-4-44-444-400004-222-4-44-2-444-4000000002-2-22-222-200002-2-2200000000000000000000000000000000000000000000000000000000
χ954-4-44-444-440000-4-44-444-40000-2-22222-2-22-2-2223−23−232323−23−23232-2-221-1-110000-111-1−333−3−333−3000000000000000000000000000000000000000000000000
χ964-4-44-444-440000-4-44-444-40000-2-22222-2-22-2-22−232323−23−232323−232-2-221-1-110000-111-13−3−333−3−33000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022002200-1-1-1-10000-1-1-1-10000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-200-2-2001111000011110000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002-2002-200-1-1110000-1-1110000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2200-220011-1-1000011-1-10000
χ1016666-6-6-6-6-366-6-6-3-3-33333-3-333000000000000000000000000000000000000000000000000000000000000000000002200-2-200-1-1-1-1000011110000
χ1026666-6-6-6-6-366-6-6-3-3-33333-3-33300000000000000000000000000000000000000000000000000000000000000000000-2-200220011110000-1-1-1-10000
χ1036666-6-6-6-6-3-6-666-3-3-3333333-3-3000000000000000000000000000000000000000000000000000000000000000000002-200-2200-1-111000011-1-10000
χ1046666-6-6-6-6-3-6-666-3-3-3333333-3-300000000000000000000000000000000000000000000000000000000000000000000-22002-20011-1-10000-1-1110000
χ1056-66-66i−6i6i−6i-36-66i−6i3-33−3i3i−3i3i-33−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i300003−33−30000
χ1066-66-66i−6i6i−6i-36-66i−6i3-33−3i3i−3i3i-33−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i30000−33−330000
χ1076-66-66i−6i6i−6i-3-66−6i6i3-33−3i3i−3i3i3-33i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i300003−3−330000
χ1086-66-66i−6i6i−6i-3-66−6i6i3-33−3i3i−3i3i3-33i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i30000−333−30000
χ1096-66-6−6i6i−6i6i-36-6−6i6i3-333i−3i3i−3i-333i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i30000−33−330000
χ1106-66-6−6i6i−6i6i-36-6−6i6i3-333i−3i3i−3i-333i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i300003−33−30000
χ1116-66-6−6i6i−6i6i-3-666i−6i3-333i−3i3i−3i3-3−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i30000−333−30000
χ1126-66-6−6i6i−6i6i-3-666i−6i3-333i−3i3i−3i3-3−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i300003−3−330000
χ1131212-12-1212i12i−12i−12i-60000-666−6i−6i6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12−12i−12i12i12i-60000-6666i6i−6i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-121212-12-1212-6000066-6-666-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-1212-121212-12-6000066-66-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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