Finite Group Databasebeta

← Group #13168324

Character table — Group #13168324

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222222244444444444444444444444466668888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636363636365454545472727272
order122233344666666666121212123336666666661212121212121212121212124444366612121212121244441212121212121212121212121212121212121212121212121212121212121212441212121212121212222446612122244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111111-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111-1-111111111111-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-11-11
χ51111111111111111111111111111111111111111111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-11-11-1-1-1-1-1-1-1-1-11-11
χ61111111111111111111111111111111111111111111111-1-1111111111111-11-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111111-11-1
χ71111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-1-1-111-1-11111-1-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-111-1-11-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-111-111-1-1-1-111-111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-111-111-1-111-1-1-111-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1-1111-1-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-111-1-111-1-111-1-111
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-11111-1-111-1-1
χ17222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12200-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000020000-1-1-1-100000000
χ18222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-2-1-1-1-122-1-1-1-12-200-1-122-1-111-2-21122-2-2-1-1-1-1-1-1-1-111111111-2-200000000-20000111100000000
χ19222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-1-1-1-122-1-1-1-1-220011-2-211-1-122-1-1-2-22211111111-1-1-1-1-1-1-1-1-2-200000000-20000111100000000
χ20222222-1222222-1-1-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-20011-2-21111-2-211-2-2-2-21111111111111111220000000020000-1-1-1-100000000
χ21222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-2111111112222-1-1-1-1-2-21111-2-200-1-1-2-211-1-1-2-2112222-1-1-1-11111-1-1-1-111112200000000-2000011-1-100000000
χ22222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-2-1-1-1-1-2-21111-2200-1-1-2-2111122-1-122-2-2-1-1-1-111111111-1-1-1-1-2-20000000020000-1-11100000000
χ23222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-222-1-1-1-1-2-211112-2001122-1-1-1-1-2-211-2-2221111-1-1-1-1-1-1-1-11111-2-20000000020000-1-11100000000
χ24222222-1-2-22222-1-1-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2-2-2-1-1-1-1-2-2111122001122-1-11122-1-1-2-2-2-21111-1-1-1-11111-1-1-1-12200000000-2000011-1-100000000
χ2522222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-1022200000022-1-12200-1-100000000-1-1-1-1-1-1-1-1002-12-1-1-1-1-100202000000000-10-1
χ2622222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-102-2-200000022-1-12200-1-100000000-1-1-1-1-1-1-1-100-21-21111100-20-2000000000101
χ2722222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-10-222000000-2-211-2-200110000000011111111002-12-1-1-1-1-100-20-2000000000101
χ2822222-12222-12-12222-12222-12-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-10-2-2-2000000-2-211-2-20011000000001111111100-21-21111100202000000000-10-1
χ2922222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-211110022-1-1-1-11111110-22-20000002211-2-200-1-100000000-1-1-1-1111100-212-1-1-1110020-2000000000-101
χ3022222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-211110022-1-1-1-11111110-2-220000002211-2-200-1-100000000-1-1-1-11111002-1-2111-1-100-20200000000010-1
χ3122222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2-1-1-1-1111111022-2000000-2-2-1-1220011000000001111-1-1-1-100-212-1-1-11100-20200000000010-1
χ3222222-12-2-22-12-12222-1-2-2-2-2-12-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2-1-1-1-111111102-22000000-2-2-1-1220011000000001111-1-1-1-1002-1-2111-1-10020-2000000000-101
χ332222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1202222-1-122000000-1-100-1-1-1-1-1-1-1-10000000000-12-12-1-1-1-10202000000000-10-10
χ342222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-120-2-222-1-122000000-1-100-1-1-1-1-1-1-1-100000000001-21-211110-20-20000000001010
χ352222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-12222-2-200-1-1-1-1-1-1-1-1-1-1-2022-2-211-2-20000001100111111110000000000-12-12-1-1-1-10-20-20000000001010
χ362222-12222-12-12222-122222-1-12-1-12-1-1-122-1-1-122-1-1-1-12222-2-200-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211-2-200000011001111111100000000001-21-211110202000000000-10-10
χ372222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-22200-1-1-1-1111111-202-22211-2-2000000-1-100-1-1-1-1111100000000001-2-12-1-111020-2000000000-1010
χ382222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-22200-1-1-1-1111111-20-222211-2-2000000-1-100-1-1-1-111110000000000-121-211-1-10-20200000000010-10
χ392222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-2-2-200-1-1-1-1111111202-2-2-2-1-12200000011001111-1-1-1-100000000001-2-12-1-1110-20200000000010-10
χ402222-122-2-2-12-12222-12-2-2-2-2-1-12-1-12-1-1-122-111-2-21111-2-2-2-2-2-200-1-1-1-111111120-22-2-2-1-12200000011001111-1-1-1-10000000000-121-211-1-1020-2000000000-1010
χ4122-2-22222i−2i-2-2222-2-2-2-22i2i−2i−2i222-2-2-222-22-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000022-2-22i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000002-22i−2i0000
χ4222-2-22222i−2i-2-2222-2-2-2-22i2i−2i−2i222-2-2-222-22-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000022-2-22i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000-22−2i2i0000
χ4322-2-2222−2i2i-2-2222-2-2-2-2−2i−2i2i2i222-2-2-222-22-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000022-2-2−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000002-2−2i2i0000
χ4422-2-2222−2i2i-2-2222-2-2-2-2−2i−2i2i2i222-2-2-222-22-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000022-2-2−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000-222i−2i0000
χ452-22-22220022-2-2-2-22-2-20000222-222-2-2-2-2-220000000000002i−2i2i−2i2-2-2200000000002i−2i00002i−2i00002i−2i2i−2i2i2i−2i−2i00002i2i−2i−2i00002-20000000000000002-200000000
χ462-22-22220022-2-2-2-22-2-20000222-222-2-2-2-2-220000000000002i−2i−2i2i2-2-2200000000002i−2i0000−2i2i00002i−2i−2i2i2i2i−2i−2i0000−2i−2i2i2i0000-22000000000000000-2200000000
χ472-22-22220022-2-2-2-22-2-20000222-222-2-2-2-2-22000000000000−2i2i2i−2i2-2-220000000000−2i2i00002i−2i0000−2i2i2i−2i−2i−2i2i2i00002i2i−2i−2i0000-22000000000000000-2200000000
χ482-22-22220022-2-2-2-22-2-20000222-222-2-2-2-2-22000000000000−2i2i−2i2i2-2-220000000000−2i2i0000−2i2i0000−2i2i−2i2i−2i−2i2i2i0000−2i−2i2i2i00002-20000000000000002-200000000
χ492-22-222-10022-2-211-1-2-2−i3i3−i3i32-1-1-2-1-1-2111120000−i3i3−i3i3−i3i3−i3i32i−2i2i−2i-111-100−i3i3−i3i30000−ii003−3−ii003−32i−2i2i−2i−i−iii33−3−3−i−iii33−3−32-20000000000000−i3i3-1100000000
χ502-22-222-10022-2-211-1-2-2−i3i3−i3i32-1-1-2-1-1-2111120000−i3i3−i3i3−i3i3−i3i32i−2i−2i2i-111-100−i3i3−i3i30000−ii003−3i−i00−332i−2i−2i2i−i−iii33−3−3ii−i−i−3−333-220000000000000i3−i31-100000000
χ512-22-222-10022-2-211-1-2-2−i3i3−i3i32-1-1-2-1-1-2111120000−i3i3−i3i3−i3i3−i3i3−2i2i2i−2i-111-100−i3i3−i3i30000i−i00−33−ii003−3−2i2i2i−2iii−i−i−3−333−i−iii33−3−3-220000000000000i3−i31-100000000
χ522-22-222-10022-2-211-1-2-2−i3i3−i3i32-1-1-2-1-1-2111120000−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i-111-100−i3i3−i3i30000i−i00−33i−i00−33−2i2i−2i2iii−i−i−3−333ii−i−i−3−3332-20000000000000−i3i3-1100000000
χ532-22-222-10022-2-211-1-2-2i3−i3i3−i32-1-1-2-1-1-2111120000i3−i3i3−i3i3−i3i3−i32i−2i2i−2i-111-100i3−i3i3−i30000−ii00−33−ii00−332i−2i2i−2i−i−iii−3−333−i−iii−3−3332-20000000000000i3−i3-1100000000
χ542-22-222-10022-2-211-1-2-2i3−i3i3−i32-1-1-2-1-1-2111120000i3−i3i3−i3i3−i3i3−i32i−2i−2i2i-111-100i3−i3i3−i30000−ii00−33i−i003−32i−2i−2i2i−i−iii−3−333ii−i−i33−3−3-220000000000000−i3i31-100000000
χ552-22-222-10022-2-211-1-2-2i3−i3i3−i32-1-1-2-1-1-2111120000i3−i3i3−i3i3−i3i3−i3−2i2i2i−2i-111-100i3−i3i3−i30000i−i003−3−ii00−33−2i2i2i−2iii−i−i33−3−3−i−iii−3−333-220000000000000−i3i31-100000000
χ562-22-222-10022-2-211-1-2-2i3−i3i3−i32-1-1-2-1-1-2111120000i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i-111-100i3−i3i3−i30000i−i003−3i−i003−3−2i2i−2i2iii−i−i33−3−3ii−i−i33−3−32-20000000000000i3−i3-1100000000
χ5744444-2-2444-24-2-2-2-24-2-2-2-2-2-2-21-2-21-2-2-211-244-2-2-2-2-2-2111100441111-2-211110400000000-2-2-2-2-2-200-2-20000000011111111000000000000000000000000000
χ5844444-2-2444-24-2-2-2-24-2-2-2-2-2-2-21-2-21-2-2-211-244-2-2-2-2-2-2111100-4-41111-2-211110-400000000222222002200000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ5944444-2-2-4-44-24-2-2-2-24-22222-2-21-2-21-2-2-211-2-4-4222222-1-1-1-10044111122-1-1-1-10-400000000-2-2222200-2-2000000001111-1-1-1-1000000000000000000000000000
χ6044444-2-2-4-44-24-2-2-2-24-22222-2-21-2-21-2-2-211-2-4-4222222-1-1-1-100-4-4111122-1-1-1-1040000000022-2-2-2-2002200000000-1-1-1-11111000000000000000000000000000
χ614444-24-244-24-24-2-2-2-24-2-2-2-2-21-2-21-2-211-2-2-2-2-2441111-2-2-2-244001111-2-211114000-2-2-2-2-2-2000000-2-2001111111100000000000000000000000000000000000
χ624444-24-244-24-24-2-2-2-24-2-2-2-2-21-2-21-2-211-2-2-2-2-2441111-2-2-2-2-4-4001111-2-21111-40002222220000002200-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ634444-24-2-4-4-24-24-2-2-2-242222-21-2-21-2-211-2-2-222-4-4-1-1-1-122224400111122-1-1-1-1-4000-2-22222000000-2-2001111-1-1-1-100000000000000000000000000000000000
χ644444-24-2-4-4-24-24-2-2-2-242222-21-2-21-2-211-2-2-222-4-4-1-1-1-12222-4-400111122-1-1-1-1400022-2-2-2-20000002200-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2444-2-2-2-2444-2-244441-2-21-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000111111111100440000000000000000000000000000000000-2-2-2-2111100000000000000000
χ664444-2-2444-2-2-2-2444-2-244441-2-21-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000111111111100-4-400000000000000000000000000000000002222-1-1-1-100000000000000000
χ674444-2-24-4-4-2-2-2-2444-2-2-4-4-4-41-2-21-2-21-2-2-2-2122222222222200001111-1-1-1-1-1-1004-4000000000000000000000000000000000022-2-211-1-100000000000000000
χ684444-2-24-4-4-2-2-2-2444-2-2-4-4-4-41-2-21-2-21-2-2-2-2122222222222200001111-1-1-1-1-1-100-440000000000000000000000000000000000-2-222-1-11100000000000000000
χ6944-4-444-24i−4i-4-444-222-4-4−2i−2i2i2i4-2-2-4224-22-22-44i−4i4i−4i−2i−2i2i2i−2i−2i2i2i0000-2-2224i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ7044-4-444-2−4i4i-4-444-222-4-42i2i−2i−2i4-2-2-4224-22-22-4−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i0000-2-222−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ7144-4-44-244i−4i-424-24-4-4-424i4i−4i−4i-24-22-42-24-4-2224i−4i−2i2i4i4i−4i−4i−2i−2i2i2i0000-2-222−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ7244-4-44-24−4i4i-424-24-4-4-42−4i−4i4i4i-24-22-42-24-4-222−4i4i2i−2i−4i−4i4i4i2i2i−2i−2i0000-2-2222i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ7344-4-44-2-24i−4i-424-2-222-42−2i−2i2i2i-2-2122-1-2-221-124i−4i−2i2i−2i−2i2i2iii−i−i000011-1-1−2i2iii−i−i00000000000000000000000000003i−3i3i−3i3-33-3000000000000000000000000000
χ7444-4-44-2-24i−4i-424-2-222-42−2i−2i2i2i-2-2122-1-2-221-124i−4i−2i2i−2i−2i2i2iii−i−i000011-1-1−2i2iii−i−i0000000000000000000000000000−3i3i−3i3i-33-33000000000000000000000000000
χ7544-4-44-2-2−4i4i-424-2-222-422i2i−2i−2i-2-2122-1-2-221-12−4i4i2i−2i2i2i−2i−2i−i−iii000011-1-12i−2i−i−iii00000000000000000000000000003i−3i3i−3i-33-33000000000000000000000000000
χ7644-4-44-2-2−4i4i-424-2-222-422i2i−2i−2i-2-2122-1-2-221-12−4i4i2i−2i2i2i−2i−2i−i−iii000011-1-12i−2i−i−iii0000000000000000000000000000−3i3i−3i3i3-33-3000000000000000000000000000
χ7744-4-4-2444i−4i2-4-244-4-42-44i4i−4i−4i-2-2422-4-2-224-42−2i2i4i−4i−2i−2i2i2i4i4i−4i−4i0000-2-222−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ7844-4-4-244−4i4i2-4-244-4-42-4−4i−4i4i4i-2-2422-4-2-224-422i−2i−4i4i2i2i−2i−2i−4i−4i4i4i0000-2-2222i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ7944-4-4-24-24i−4i2-4-24-2222-4−2i−2i2i2i-21-22-12-21-1-222−2i2i4i−4iii−i−i−2i−2i2i2i000011-1-1−2i2iii−i−i000000000000000000003i−3i3i−3i3-33-300000000000000000000000000000000000
χ8044-4-4-24-24i−4i2-4-24-2222-4−2i−2i2i2i-21-22-12-21-1-222−2i2i4i−4iii−i−i−2i−2i2i2i000011-1-1−2i2iii−i−i00000000000000000000−3i3i−3i3i-33-3300000000000000000000000000000000000
χ8144-4-4-24-2−4i4i2-4-24-2222-42i2i−2i−2i-21-22-12-21-1-2222i−2i−4i4i−i−iii2i2i−2i−2i000011-1-12i−2i−i−iii000000000000000000003i−3i3i−3i-33-3300000000000000000000000000000000000
χ8244-4-4-24-2−4i4i2-4-24-2222-42i2i−2i−2i-21-22-12-21-1-2222i−2i−4i4i−i−iii2i2i−2i−2i000011-1-12i−2i−i−iii00000000000000000000−3i3i−3i3i3-33-300000000000000000000000000000000000
χ8344-4-4-2-244i−4i22-2-24-4-4224i4i−4i−4i1-2-2-1221-22-22-1−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000011-1-1i−iii−i−i0000000000000000000000000000000000000000003-33i−3i00000000000000000
χ8444-4-4-2-244i−4i22-2-24-4-4224i4i−4i−4i1-2-2-1221-22-22-1−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000011-1-1i−iii−i−i000000000000000000000000000000000000000000-33−3i3i00000000000000000
χ8544-4-4-2-24−4i4i22-2-24-4-422−4i−4i4i4i1-2-2-1221-22-22-12i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000011-1-1−ii−i−iii0000000000000000000000000000000000000000003-3−3i3i00000000000000000
χ8644-4-4-2-24−4i4i22-2-24-4-422−4i−4i4i4i1-2-2-1221-22-22-12i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000011-1-1−ii−i−iii000000000000000000000000000000000000000000-333i−3i00000000000000000
χ874-44-44-24004-2-42-4-44-420000-24-224-22-4-422-2000000000000004i−4i-222-200000000000000004i−4i000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000000
χ884-44-44-24004-2-42-4-44-420000-24-224-22-4-422-200000000000000−4i4i-222-20000000000000000−4i4i0000002i−2i000000002i2i−2i−2i0000000000000000000000000000000
χ894-44-44-2-2004-2-4222-2-42−2i32i3−2i32i3-2-212-21222-1-1-20000−2i32i3−2i32i3i3−i3i3−i3004i−4i1-1-1100i3−i3i3−i30000000000−2i2i0023−2300−2i2i00000000ii−i−i−3−333000000000000000000000000000
χ904-44-44-2-2004-2-4222-2-42−2i32i3−2i32i3-2-212-21222-1-1-20000−2i32i3−2i32i3i3−i3i3−i300−4i4i1-1-1100i3−i3i3−i300000000002i−2i00−2323002i−2i00000000−i−iii33−3−3000000000000000000000000000
χ914-44-44-2-2004-2-4222-2-422i3−2i32i3−2i3-2-212-21222-1-1-200002i3−2i32i3−2i3−i3i3−i3i3004i−4i1-1-1100−i3i3−i3i30000000000−2i2i00−232300−2i2i00000000ii−i−i33−3−3000000000000000000000000000
χ924-44-44-2-2004-2-4222-2-422i3−2i32i3−2i3-2-212-21222-1-1-200002i3−2i32i3−2i3−i3i3−i3i300−4i4i1-1-1100−i3i3−i3i300000000002i−2i0023−23002i−2i00000000−i−iii−3−333000000000000000000000000000
χ934-44-4-24400-242-4-4-442-40000-2-242-24222-4-4-20000000000004i−4i00-222-200000000004i−4i0000000000−2i2i00−2i−2i2i2i000000000000000000000000000000000000000
χ944-44-4-24400-242-4-4-442-40000-2-242-24222-4-4-2000000000000−4i4i00-222-20000000000−4i4i00000000002i−2i002i2i−2i−2i000000000000000000000000000000000000000
χ954-44-4-24-200-242-422-22-4−2i32i3−2i32i3-21-221-22-1-122-20000i3−i3i3−i3−2i32i3−2i32i34i−4i001-1-1100i3−i3i3−i30000−2i2i0023−23000000−2i2i00ii−i−i−3−33300000000000000000000000000000000000
χ964-44-4-24-200-242-422-22-4−2i32i3−2i32i3-21-221-22-1-122-20000i3−i3i3−i3−2i32i3−2i32i3−4i4i001-1-1100i3−i3i3−i300002i−2i00−23230000002i−2i00−i−iii33−3−300000000000000000000000000000000000
χ974-44-4-24-200-242-422-22-42i3−2i32i3−2i3-21-221-22-1-122-20000−i3i3−i3i32i3−2i32i3−2i34i−4i001-1-1100−i3i3−i3i30000−2i2i00−2323000000−2i2i00ii−i−i33−3−300000000000000000000000000000000000
χ984-44-4-24-200-242-422-22-42i3−2i32i3−2i3-21-221-22-1-122-20000−i3i3−i3i32i3−2i32i3−2i3−4i4i001-1-1100−i3i3−i3i300002i−2i0023−230000002i−2i00−i−iii−3−33300000000000000000000000000000000000
χ994-4-4444400-4-4-4-4-44-44400004444-4-4-4-44-44-400000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-200-4-4-4-42-224423−23−23234-2-2422-42-22-2-4000023−23−232323−23−23230000-22-220023−23−2323000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4444-200-4-4-4-42-2244−232323−234-2-2422-42-22-2-40000−232323−23−232323−230000-22-2200−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-2400-42-42-44-44-20000-24-2-2-422-442-220000000000000000-22-2200000000000000000023−2300000000000000000023−23−2323000000000000000000000000000
χ1034-4-444-2400-42-42-44-44-20000-24-2-2-422-442-220000000000000000-22-22000000000000000000−2323000000000000000000−232323−23000000000000000000000000000
χ1044-4-444-2-200-42-422-224-223−23−2323-2-21-22-122-2-112000023−23−2323−333−300001-11-100−333−300000000000023−23000000000000003-3-33−333−3000000000000000000000000000
χ1054-4-444-2-200-42-422-224-223−23−2323-2-21-22-122-2-112000023−23−2323−333−300001-11-100−333−3000000000000−232300000000000000-333-33−3−33000000000000000000000000000
χ1064-4-444-2-200-42-422-224-2−232323−23-2-21-22-122-2-1120000−232323−233−3−3300001-11-1003−3−3300000000000023−2300000000000000-333-3−333−3000000000000000000000000000
χ1074-4-444-2-200-42-422-224-2−232323−23-2-21-22-122-2-1120000−232323−233−3−3300001-11-1003−3−33000000000000−2323000000000000003-3-333−3−33000000000000000000000000000
χ1084-4-44-244002-42-4-44-4-240000-2-24-22-422-2-4420000000000000000-22-2200000000000023−23000000000000000023−23−232300000000000000000000000000000000000
χ1094-4-44-244002-42-4-44-4-240000-2-24-22-422-2-4420000000000000000-22-22000000000000−23230000000000000000−232323−2300000000000000000000000000000000000
χ1104-4-44-24-2002-42-42-22-2423−23−2323-21-2-2-122-112-220000−333−323−23−232300001-11-100−333−300000023−230000000000003-3-33−333−300000000000000000000000000000000000
χ1114-4-44-24-2002-42-42-22-2423−23−2323-21-2-2-122-112-220000−333−323−23−232300001-11-100−333−3000000−2323000000000000-333-33−3−3300000000000000000000000000000000000
χ1124-4-44-24-2002-42-42-22-24−232323−23-21-2-2-122-112-2200003−3−33−232323−2300001-11-1003−3−3300000023−23000000000000-333-3−333−300000000000000000000000000000000000
χ1134-4-44-24-2002-42-42-22-24−232323−23-21-2-2-122-112-2200003−3−33−232323−2300001-11-1003−3−33000000−23230000000000003-3-333−3−3300000000000000000000000000000000000
χ1148888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1158888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-48i−8i44-4-4-44444−4i−4i4i4i222-2-2-222-22-2-2−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i0000-1-1112i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-4−8i8i44-4-4-444444i4i−4i−4i222-2-2-222-22-2-24i−4i4i−4i−2i−2i2i2i−2i−2i2i2i0000-1-111−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4800-4-444-8-884400002-4-4-2-4-4-24444200000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-400-4-44444-444−4i34i3−4i34i3222-222-2-2-2-2-2200002i3−2i32i3−2i32i3−2i32i3−2i30000-111-100−i3i3−i3i3000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-400-4-44444-4444i3−4i34i3−4i3222-222-2-2-2-2-220000−2i32i3−2i32i3−2i32i3−2i32i30000-111-100i3−i3i3−i3000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-48004444-88-8-4-400002-4-4244-24-44-4-200000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-40044444-44-4-443−43−43432222-2-2-2-22-22-20000−232323−23−232323−230000-11-11003−3−33000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-40044444-44-4-4−434343−432222-2-2-2-22-22-2000023−23−232323−23−23230000-11-1100−333−3000000000000000000000000000000000000000000000000000000000000000

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