Finite Group Databasebeta

← Group #13168390

Character table — Group #13168390

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order122233366666666644443334666666666121212121212121244441212121212121212366612121212121212121224466666666121212121212121212121212121212124444441212121212121212121224466121212121212121222124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-1111111111-1-1-1-11111-1-1111111-1-1-1-111-11-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111-1-11111111111111111111111111-1111111111111-1-1-1-111-1-11111-1-111-1-11-11111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1111111-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-1-1-11111-1-111-111-1-1-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1111-1-1-1-111-111-1-111-1-1-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1111-1111-1-111-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111-11-1-1-1-1-111-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-1-1-1111111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-11-1111-1-111-1-111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-1-11111-1-1-111-1-111-1-1-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111-111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1111111-1-1-1-1-11
χ17222222-12-122-1-122222222-1-122-1-1-12-1-1-1222-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-122022-1-1-1-1-1-122-1-10000-1-100-1-1-1-100220020-1-1-1-10000200-1-1-1-10000000000
χ18222222-12-122-1-122222222-1-122-1-1-12-1-1-1222-1-1-1-1-1-100-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-2022-1-1-1-1-1-1-2-21100001100-1-1-1-100-2-200-2011110000-20011110000000000
χ19222222-12-122-1-122222222-1-1-22-1-1-12-1-1-12-2-211111100222222-1-1-1-1-1-1-1-1-2-2-2111111-2-20-2-211111122-1-100001100-1-1-1-1002200-20-1-1110000-20011-1-10000000000
χ20222222-12-122-1-122222222-1-1-22-1-1-12-1-1-12-2-211111100-2-22222-1-1-1-1-1-1-1-1-2-2-2111111-220-2-2111111-2-2110000-1-100-1-1-1-100-2-2002011-1-10000200-1-1110000000000
χ21222222-12-122-1-1222-2-2-2-22-1-122-1-1-12-1-1-1222-1-1-1-1-1-10022-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-220-2-211111122-1-10000-1-100111100-2-20020-1-1-1-10000-20011110000000000
χ22222222-12-122-1-1222-2-2-2-22-1-122-1-1-12-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-2-20-2-2111111-2-211000011001111002200-2011110000200-1-1-1-10000000000
χ23222222-12-122-1-1222-2-2-2-22-1-1-22-1-1-12-1-1-12-2-21111110022-2-2-2-21111-1-1-1-1-2-2-21111112-2022-1-1-1-1-1-122-1-100001100111100-2-200-20-1-1110000200-1-1110000000000
χ24222222-12-122-1-1222-2-2-2-22-1-1-22-1-1-12-1-1-12-2-211111100-2-2-2-2-2-21111-1-1-1-1-2-2-211111122022-1-1-1-1-1-1-2-2110000-1-10011110022002011-1-10000-20011-1-10000000000
χ2522222-1222-1-12222-12222-12-12-12-1-1-122-1-1-1-122-1-1-1-12200-1-1-1-12222-1-1-1-12-1-122-1-1-1-1202-1-122-1-1-1-10000-1-1-1-10022-1-1-1-1000022020000-1-1-1-1002000000-1-1-1-10000
χ2622222-1222-1-12222-12222-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-200-1-1-1-12222-1-1-1-12-1-122-1-1-1-120-2-1-122-1-1-1-10000111100-2-2-1-1-1-10000-2-20-20000111100-200000011110000
χ2722222-1222-1-12222-12222-12-1-2-12-1-1-122-1-111-2-211112200-1-1-1-12222-1-1-1-1-211-2-21111-20-211-2-211110000-1-1110022-1-1-1-10000220-20000-1-11100-2000000-1-1110000
χ2822222-1222-1-12222-12222-12-1-2-12-1-1-122-1-111-2-21111-2-200-1-1-1-12222-1-1-1-1-211-2-21111-20211-2-21111000011-1-100-2-2-1-1-1-10000-2-202000011-1-100200000011-1-10000
χ2922222-1222-1-12222-1-2-2-2-2-12-12-12-1-1-122-1-1-1-122-1-1-1-122001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20211-2-211110000-1-1-1-1002211110000-2-2020000-1-1-1-100-200000011110000
χ3022222-1222-1-12222-1-2-2-2-2-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-2001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-211-2-211110000111100-2-211110000220-200001111002000000-1-1-1-10000
χ3122222-1222-1-12222-1-2-2-2-2-12-1-2-12-1-1-122-1-111-2-2111122001111-2-2-2-2-1-1-1-1-211-2-2111120-2-1-122-1-1-1-10000-1-111002211110000-2-20-20000-1-11100200000011-1-10000
χ3222222-1222-1-12222-1-2-2-2-2-12-1-2-12-1-1-122-1-111-2-21111-2-2001111-2-2-2-2-1-1-1-1-211-2-21111202-1-122-1-1-1-1000011-1-100-2-2111100002202000011-1-100-2000000-1-1110000
χ332222-122-122222-1-120000-1-122-1-122-1-1-12-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-102200000000-1-122222222-1-10000220000-1-1-1-1-1-1-1-1-1-10200000-1-1000000-10
χ342222-122-122222-1-120000-1-122-1-122-1-1-12-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-220000000011-2-22222-2-2-1-10000-2-200001-11111-1-1-1-10-2000001100000010
χ352222-122-122222-1-120000-1-122-1-122-1-1-12-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-200000000-1-122-2-2-2-222110000-2-20000-11-1-1-1-111110-2000001100000010
χ362222-122-122222-1-120000-1-122-1-122-1-1-12-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-20000000011-2-2-2-2-2-2-2-211000022000011111111110200000-1-1000000-10
χ372222-122-122222-1-120000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-200000000-1-12222-2-2-2-2-1-1000022000011-1-111-1-1110-200000-1-100000010
χ382222-122-122222-1-120000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-111111111102-20000000011-2-222-2-222-1-10000-2-20000-1111-1-1-1-111020000011000000-10
χ392222-122-122222-1-120000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-11111111110-2200000000-1-122-2-222-2-2110000-2-200001-1-1-11111-1-1020000011000000-10
χ402222-122-122222-1-120000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111110220000000011-2-2-2-22222110000220000-1-111-1-111-1-10-200000-1-100000010
χ4122-2-2222-2-22-22-22-2-222-2-22220-2-2-2-22-222-2000000002i−2i0022-2-222-2-22-2-220000000000000000000000002i−2i00002i−2i22-2-200002i−2i0000002i−2i000000000002i−2i000000
χ4222-2-2222-2-22-22-22-2-222-2-22220-2-2-2-22-222-200000000−2i2i0022-2-222-2-22-2-22000000000000000000000000−2i2i0000−2i2i22-2-20000−2i2i000000−2i2i00000000000−2i2i000000
χ4322-2-2222-2-22-22-22-2-2-2-2222220-2-2-2-22-222-2000000002i−2i00-2-222-2-2222-2-220000000000000000000000002i−2i00002i−2i-2-2220000−2i2i0000002i−2i00000000000−2i2i000000
χ4422-2-2222-2-22-22-22-2-2-2-2222220-2-2-2-22-222-200000000−2i2i00-2-222-2-2222-2-22000000000000000000000000−2i2i0000−2i2i-2-22200002i−2i000000−2i2i000000000002i−2i000000
χ4522-2-22-12-2-2-112-22-2122-2-2-12-101-211-1-22-11−i3i300−i3−i3i3i32i−2i00-1-11122-2-2-111-10−i3i300−i3−i3i3i3000−i3i300−i3−i3i3i30000−ii3−3002i−2i-1-11100002i−2i000000−ii3−3000000000−ii3−30000
χ4622-2-22-12-2-2-112-22-2122-2-2-12-101-211-1-22-11−i3i300−i3−i3i3i3−2i2i00-1-11122-2-2-111-10−i3i300−i3−i3i3i3000−i3i300−i3−i3i3i30000i−i−3300−2i2i-1-1110000−2i2i000000i−i−33000000000i−i−330000
χ4722-2-22-12-2-2-112-22-2122-2-2-12-101-211-1-22-11i3−i300i3i3−i3−i32i−2i00-1-11122-2-2-111-10i3−i300i3i3−i3−i3000i3−i300i3i3−i3−i30000−ii−33002i−2i-1-11100002i−2i000000−ii−33000000000−ii−330000
χ4822-2-22-12-2-2-112-22-2122-2-2-12-101-211-1-22-11i3−i300i3i3−i3−i3−2i2i00-1-11122-2-2-111-10i3−i300i3i3−i3−i3000i3−i300i3i3−i3−i30000i−i3−300−2i2i-1-1110000−2i2i000000i−i3−3000000000i−i3−30000
χ4922-2-22-12-2-2-112-22-21-2-222-12-101-211-1-22-11−i3i300−i3−i3i3i32i−2i0011-1-1-2-222-111-10−i3i300−i3−i3i3i3000i3−i300i3i3−i3−i30000−ii3−3002i−2i11-1-10000−2i2i000000−ii3−3000000000i−i−330000
χ5022-2-22-12-2-2-112-22-21-2-222-12-101-211-1-22-11−i3i300−i3−i3i3i3−2i2i0011-1-1-2-222-111-10−i3i300−i3−i3i3i3000i3−i300i3i3−i3−i30000i−i−3300−2i2i11-1-100002i−2i000000i−i−33000000000−ii3−30000
χ5122-2-22-12-2-2-112-22-21-2-222-12-101-211-1-22-11i3−i300i3i3−i3−i32i−2i0011-1-1-2-222-111-10i3−i300i3i3−i3−i3000−i3i300−i3−i3i3i30000−ii−33002i−2i11-1-10000−2i2i000000−ii−33000000000i−i3−30000
χ5222-2-22-12-2-2-112-22-21-2-222-12-101-211-1-22-11i3−i300i3i3−i3−i3−2i2i0011-1-1-2-222-111-10i3−i300i3i3−i3−i3000−i3i300−i3−i3i3i30000i−i3−300−2i2i11-1-100002i−2i000000i−i3−3000000000−ii−330000
χ532-22-2222-2-2-22-22-22-22i−2i2i−2i2220-222-2-2-2-2-220000000000002i−2i2i−2i2i−2i2i−2i22-2-2000000000000000000000000000000002i−2i2i−2i2i−2i0000000000000000000002i−2i00002-200
χ542-22-2222-2-2-22-22-22-22i−2i2i−2i2220-222-2-2-2-2-220000000000002i−2i2i−2i2i−2i2i−2i22-2-2000000000000000000000000000000002i−2i2i−2i−2i2i000000000000000000000−2i2i0000-2200
χ552-22-2222-2-2-22-22-22-2−2i2i−2i2i2220-222-2-2-2-2-22000000000000−2i2i−2i2i−2i2i−2i2i22-2-200000000000000000000000000000000−2i2i−2i2i2i−2i0000000000000000000002i−2i0000-2200
χ562-22-2222-2-2-22-22-22-2−2i2i−2i2i2220-222-2-2-2-2-22000000000000−2i2i−2i2i−2i2i−2i2i22-2-200000000000000000000000000000000−2i2i−2i2i−2i2i000000000000000000000−2i2i00002-200
χ572-2-2222222-2-2-2-2-2-222i−2i−2i2i22202-2-22-22-2-2-200000000002-22i−2i−2i2i2i−2i−2i2i2-22-2000000000000000000002-22-2000000002i−2i−2i2i002i−2i00002-2000000000002i−2i0000000000
χ582-2-2222222-2-2-2-2-2-222i−2i−2i2i22202-2-22-22-2-2-20000000000-222i−2i−2i2i2i−2i−2i2i2-22-200000000000000000000-22-22000000002i−2i−2i2i00−2i2i0000-2200000000000−2i2i0000000000
χ592-2-2222222-2-2-2-2-2-22−2i2i2i−2i22202-2-22-22-2-2-200000000002-2−2i2i2i−2i−2i2i2i−2i2-22-2000000000000000000002-22-200000000−2i2i2i−2i00−2i2i00002-200000000000−2i2i0000000000
χ602-2-2222222-2-2-2-2-2-22−2i2i2i−2i22202-2-22-22-2-2-20000000000-22−2i2i2i−2i−2i2i2i−2i2-22-200000000000000000000-22-2200000000−2i2i2i−2i002i−2i0000-22000000000002i−2i0000000000
χ612-2-2222-12-1-2-211-2-222i−2i−2i2i2-1-10211-1-2-111-2003−33−33−3002-22i−2i−2i2i−iii−i-11-110003−33−33−300000−i3i3−i3i3−i3i32-2-1100003−300−iii−i002i−2i0000-113−30000000−i3i3−ii0000000000
χ622-2-2222-12-1-2-211-2-222i−2i−2i2i2-1-10211-1-2-111-2003−33−33−300-222i−2i−2i2i−iii−i-11-110003−33−33−300000−i3i3−i3i3−i3i3-221-10000−3300−iii−i00−2i2i00001-1−330000000i3−i3i−i0000000000
χ632-2-2222-12-1-2-211-2-222i−2i−2i2i2-1-10211-1-2-111-200−33−33−33002-22i−2i−2i2i−iii−i-11-11000−33−33−3300000i3−i3i3−i3i3−i32-2-110000−3300−iii−i002i−2i0000-11−330000000i3−i3−ii0000000000
χ642-2-2222-12-1-2-211-2-222i−2i−2i2i2-1-10211-1-2-111-200−33−33−3300-222i−2i−2i2i−iii−i-11-11000−33−33−3300000i3−i3i3−i3i3−i3-221-100003−300−iii−i00−2i2i00001-13−30000000−i3i3i−i0000000000
χ652-2-2222-12-1-2-211-2-22−2i2i2i−2i2-1-10211-1-2-111-2003−33−33−3002-2−2i2i2i−2ii−i−ii-11-110003−33−33−300000i3−i3i3−i3i3−i32-2-1100003−300i−i−ii00−2i2i0000-113−30000000i3−i3i−i0000000000
χ662-2-2222-12-1-2-211-2-22−2i2i2i−2i2-1-10211-1-2-111-2003−33−33−300-22−2i2i2i−2ii−i−ii-11-110003−33−33−300000i3−i3i3−i3i3−i3-221-10000−3300i−i−ii002i−2i00001-1−330000000−i3i3−ii0000000000
χ672-2-2222-12-1-2-211-2-22−2i2i2i−2i2-1-10211-1-2-111-200−33−33−33002-2−2i2i2i−2ii−i−ii-11-11000−33−33−3300000−i3i3−i3i3−i3i32-2-110000−3300i−i−ii00−2i2i0000-11−330000000−i3i3i−i0000000000
χ682-2-2222-12-1-2-211-2-22−2i2i2i−2i2-1-10211-1-2-111-200−33−33−3300-22−2i2i2i−2ii−i−ii-11-11000−33−33−3300000−i3i3−i3i3−i3i3-221-100003−300i−i−ii002i−2i00001-13−30000000i3−i3−ii0000000000
χ6944444-2-24-2-2-2-2-244-24444-2-214-2-211-2-2-21-2-2-2-2-211110000-2-2-2-2-2-2-2-211114-2-2-2-21111400-2-2-2-211110000000000001111000000000000000000000000000000000
χ7044444-2-24-2-2-2-2-244-24444-2-21-4-2-211-2-2-21-22222-1-1-1-10000-2-2-2-2-2-2-2-21111-42222-1-1-1-1-4002222-1-1-1-10000000000001111000000000000000000000000000000000
χ7144444-2-24-2-2-2-2-244-2-4-4-4-4-2-214-2-211-2-2-21-2-2-2-2-2111100002222222211114-2-2-2-21111-4002222-1-1-1-1000000000000-1-1-1-1000000000000000000000000000000000
χ7244444-2-24-2-2-2-2-244-2-4-4-4-4-2-21-4-2-211-2-2-21-22222-1-1-1-10000222222221111-42222-1-1-1-1400-2-2-2-21111000000000000-1-1-1-1000000000000000000000000000000000
χ734444-24-2-2-244-2-2-2-240000-21-24-21-2-2-211-2-244-2-2-2-2-2-20044000000001111-2-2-211111104000000000-2-2-2-20000-2-2000000000000-201111000000000000000000000
χ744444-24-2-2-244-2-2-2-240000-21-24-21-2-2-211-2-244-2-2-2-2-2-200-4-4000000001111-2-2-21111110-4000000000222200002200000000000020-1-1-1-1000000000000000000000
χ754444-24-2-2-244-2-2-2-240000-21-2-4-21-2-2-211-2-2-4-42222220044000000001111222-1-1-1-1-1-10-4000000000-2-2-2-20000220000000000002011-1-1000000000000000000000
χ764444-24-2-2-244-2-2-2-240000-21-2-4-21-2-2-211-2-2-4-422222200-4-4000000001111222-1-1-1-1-1-10400000000022220000-2-2000000000000-20-1-111000000000000000000000
χ774444-2-24-24-2-244-2-2-200001-2-241-2-2-21-2-2-21-2-244-2-2-2-24400000000001111-211-2-21111004000000000000-2-2-2-200-2-200000000000-20000111100000000000000000
χ784444-2-24-24-2-244-2-2-200001-2-241-2-2-21-2-2-21-2-244-2-2-2-2-4-400000000001111-211-2-2111100-4000000000000222200220000000000020000-1-1-1-100000000000000000
χ794444-2-24-24-2-244-2-2-200001-2-2-41-2-2-21-2-2-2122-4-4222244000000000011112-1-122-1-1-1-100-4000000000000-2-22200-2-2000000000002000011-1-100000000000000000
χ804444-2-24-24-2-244-2-2-200001-2-2-41-2-2-21-2-2-2122-4-42222-4-4000000000011112-1-122-1-1-1-100400000000000022-2-2002200000000000-20000-1-11100000000000000000
χ8144-4-444-2-424-4-224-4-444-4-44-2-20-422242-2-2-400000000000044-4-4-2-222-222-200000000000000000000000000000000-2-222000000000000000000000000000000000
χ8244-4-444-2-424-4-224-4-4-4-4444-2-20-422242-2-2-4000000000000-4-44422-2-2-222-20000000000000000000000000000000022-2-2000000000000000000000000000000000
χ8344-4-44-2-2-42-22-224-4244-4-4-2-21022-1-1-22-212−2i32i300i3i3−i3−i30000-2-222-2-2221-1-110−2i32i300i3i3−i3−i3000−2i32i300i3i3−i3−i300000000000011-1-1000000000000000000000000000000000
χ8444-4-44-2-2-42-22-224-4244-4-4-2-21022-1-1-22-2122i3−2i300−i3−i3i3i30000-2-222-2-2221-1-1102i3−2i300−i3−i3i3i30002i3−2i300−i3−i3i3i300000000000011-1-1000000000000000000000000000000000
χ8544-4-44-2-2-42-22-224-42-4-444-2-21022-1-1-22-212−2i32i300i3i3−i3−i3000022-2-222-2-21-1-110−2i32i300i3i3−i3−i30002i3−2i300−i3−i3i3i3000000000000-1-111000000000000000000000000000000000
χ8644-4-44-2-2-42-22-224-42-4-444-2-21022-1-1-22-2122i3−2i300−i3−i3i3i3000022-2-222-2-21-1-1102i3−2i300−i3−i3i3i3000−2i32i300i3i3−i3−i3000000000000-1-111000000000000000000000000000000000
χ8744-4-4-2442-44-44-4-22-40000-2-24022-4-4-22-242000000004i−4i0000000000-222-20000000000000000000000004i−4i0000−2i2i0000000000000000−2i2i0000000000000000000
χ8844-4-4-2442-44-44-4-22-40000-2-24022-4-4-22-24200000000−4i4i0000000000-222-2000000000000000000000000−4i4i00002i−2i00000000000000002i−2i0000000000000000000
χ8944-4-4-2-242-4-224-4-22200001-2-20-122212-2-2-1−2i32i300−2i3−2i32i32i34i−4i00000000001-1-110i3−i300i3i3−i3−i3000000000000000−2i2i23−2300−2i2i0000000000000000i−i−3300000000000000000
χ9044-4-4-2-242-4-224-4-22200001-2-20-122212-2-2-1−2i32i300−2i3−2i32i32i3−4i4i00000000001-1-110i3−i300i3i3−i3−i30000000000000002i−2i−2323002i−2i0000000000000000−ii3−300000000000000000
χ9144-4-4-2-242-4-224-4-22200001-2-20-122212-2-2-12i3−2i3002i32i3−2i3−2i34i−4i00000000001-1-110−i3i300−i3−i3i3i3000000000000000−2i2i−232300−2i2i0000000000000000i−i3−300000000000000000
χ9244-4-4-2-242-4-224-4-22200001-2-20-122212-2-2-12i3−2i3002i32i3−2i3−2i3−4i4i00000000001-1-110−i3i300−i3−i3i3i30000000000000002i−2i23−23002i−2i0000000000000000−ii−3300000000000000000
χ934-44-444-2-42-442-2-44-44i−4i4i−4i4-2-20-4-2-22-422240000000000004i−4i4i−4i−2i2i−2i2i-2-22200000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000000
χ944-44-444-2-42-442-2-44-4−4i4i−4i4i4-2-20-4-2-22-42224000000000000−4i4i−4i4i2i−2i2i−2i-2-222000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000000
χ954-44-44-24-4-42-2-44-4424i−4i4i−4i-24-2024-222-4-42-2000000000000−2i2i−2i2i4i−4i4i−4i-2-22200000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000000
χ964-44-44-24-4-42-2-44-442−4i4i−4i4i-24-2024-222-4-42-20000000000002i−2i2i−2i−4i4i−4i4i-2-222000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000000
χ974-44-44-2-2-422-22-2-4424i−4i4i−4i-2-2102-21-1222-1-200003i−3i−3i3i0000−2i2i−2i2i−2i2i−2i2i11-1-1000003i−3i−3i3i00000003-3-33000000000000i−ii−i000000000000000000000000000000000
χ984-44-44-2-2-422-22-2-4424i−4i4i−4i-2-2102-21-1222-1-20000−3i3i3i−3i0000−2i2i−2i2i−2i2i−2i2i11-1-100000−3i3i3i−3i0000000-333-3000000000000i−ii−i000000000000000000000000000000000
χ994-44-44-2-2-422-22-2-442−4i4i−4i4i-2-2102-21-1222-1-200003i−3i−3i3i00002i−2i2i−2i2i−2i2i−2i11-1-1000003i−3i−3i3i0000000-333-3000000000000−ii−ii000000000000000000000000000000000
χ1004-44-44-2-2-422-22-2-442−4i4i−4i4i-2-2102-21-1222-1-20000−3i3i3i−3i00002i−2i2i−2i2i−2i2i−2i11-1-100000−3i3i3i−3i00000003-3-33000000000000−ii−ii000000000000000000000000000000000
χ1014-44-4-2442-4-44-442-2-40000-2-2402-24-4222-4-200000000000000000000-2-2220000000000000000000000000000000000004i−4i000000000000000000000−2i2i00000000
χ1024-44-4-2442-4-44-442-2-40000-2-2402-24-4222-4-200000000000000000000-2-222000000000000000000000000000000000000−4i4i0000000000000000000002i−2i00000000
χ1034-4-444-244422-4-4-4-4-24i−4i−4i4i-24-20-2-42-224-422000000000000−2i2i2i−2i4i−4i−4i4i-22-2200000000000000000000000000000000−2i2i2i−2i000000000000000000000000000000000
χ1044-4-444-244422-4-4-4-4-2−4i4i4i−4i-24-20-2-42-224-4220000000000002i−2i−2i2i−4i4i4i−4i-22-22000000000000000000000000000000002i−2i−2i2i000000000000000000000000000000000
χ1054-4-444-2-24-22222-4-4-24i−4i−4i4i-2-210-22-112-22-120023−23−33−330000−2i2i2i−2i−2i2i2i−2i1-11-100023−23−33−3300000−2i32i3i3−i3i3−i3000000000000i−i−ii000000000000000000000000000000000
χ1064-4-444-2-24-22222-4-4-24i−4i−4i4i-2-210-22-112-22-1200−23233−33−30000−2i2i2i−2i−2i2i2i−2i1-11-1000−23233−33−3000002i3−2i3−i3i3−i3i3000000000000i−i−ii000000000000000000000000000000000
χ1074-4-444-2-24-22222-4-4-2−4i4i4i−4i-2-210-22-112-22-120023−23−33−3300002i−2i−2i2i2i−2i−2i2i1-11-100023−23−33−33000002i3−2i3−i3i3−i3i3000000000000−iii−i000000000000000000000000000000000
χ1084-4-444-2-24-22222-4-4-2−4i4i4i−4i-2-210-22-112-22-1200−23233−33−300002i−2i−2i2i2i−2i−2i2i1-11-1000−23233−33−300000−2i32i3i3−i3i3−i3000000000000−iii−i000000000000000000000000000000000
χ1094-4-44-244-24-4-4-4-42240000-2-240-22-442-22-4200000000004-400000000-22-2200000000000000000000-224-400000000000000000000-2200000000000000000000000
χ1104-4-44-244-24-4-4-4-42240000-2-240-22-442-22-420000000000-4400000000-22-22000000000000000000002-2-44000000000000000000002-200000000000000000000000
χ1114-4-44-24-2-2-2-4-4222240000-21-20-2-12-221-1220023−2323−2323−23004-4000000001-11-1000−33−33−3300000000000-22-22000023−23000000000000001-1−33000000000000000000000
χ1124-4-44-24-2-2-2-4-4222240000-21-20-2-12-221-1220023−2323−2323−2300-44000000001-11-1000−33−33−33000000000002-22-20000−232300000000000000-113−3000000000000000000000
χ1134-4-44-24-2-2-2-4-4222240000-21-20-2-12-221-12200−2323−2323−2323004-4000000001-11-10003−33−33−300000000000-22-220000−2323000000000000001-13−3000000000000000000000
χ1144-4-44-24-2-2-2-4-4222240000-21-20-2-12-221-12200−2323−2323−232300-44000000001-11-10003−33−33−3000000000002-22-2000023−2300000000000000-11−33000000000000000000000
χ1158888-4-4-4-4-4-4-4-4-4-4-4-400002228222222222-4-4-4-42222000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-4-4-4-4-4-4-4-4-40000222-82222222224444-2-2-2-2000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-48-4448-8-44-44-80000-42-404-244-4-22-44000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-444-44-44-44400002220-2-2-2-22-222-2−4i34i3002i32i3−2i3−2i3000000000000-111-102i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-444-44-44-44400002220-2-2-2-22-222-24i3−4i300−2i3−2i32i32i3000000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-48-444-884-44-4-80000-42-4042-444-2-24-40000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-484-84-4-884-4400002-4-40-2-4-44-244420000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4444-44-44-4400002220-222-2-2-2-2-2200006i−6i−6i6i000000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4444-44-44-4400002220-222-2-2-2-2-220000−6i6i6i−6i000000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-48-4844-8-844-400002-4-40244-4-2-444-2000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-4-4-4444444-4000022202-2-22-22-2-2-20043−43−2323−2323000000000000-11-11000−23233−33−3000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4-4-4444444-4000022202-2-22-22-2-2-200−434323−2323−23000000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000000

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