Finite Group Databasebeta

← Group #13168387

Character table — Group #13168387

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order1222333666666666444433346666666661212121212121212444412121212121212123666121212121212121212244666666661212121212121212121212121212121222444412121212121212121212244666612121212121244124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-111111111-1-11111-1-111-1-11111-1-111-1-1-11-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-111111111111-1-1-1-111-1-1111111-1-1-1-1111-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-111-1-11111-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-11-1-1-11111-1-111-1-1-111-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1111-1-1-1-111-111-1-1-1-111-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1111-111111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111111-1-1-1-11111-1-1-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-11-1-1-1-1-1-1111111-11
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
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-11-111111-1-1-1-111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-111-1-1-1-111-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-111-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-111-1-11111-1-1-1-1-11
χ17222222-12-1222-1-12222222-1-122-1-1-12-1-1-1222-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120222-1-1-1-1-1-1-1-10000-1-10022-1-1-1-100002220-1-1-1-1000020000-1-1-1-100000000
χ18222222-12-1222-1-12222222-1-122-1-1-12-1-1-1222-1-1-1-1-1-100-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120-222-1-1-1-1-1-11100001100-2-2-1-1-1-10000-2-2-2011110000-20000111100000000
χ19222222-12-1222-1-12222222-1-1-22-1-1-12-1-1-12-2-211111100222222-1-1-1-1-1-1-1-1-2-2-2111111-20-2-2-2111111-1-10000110022-1-1-1-1000022-20-1-1110000-2000011-1-100000000
χ20222222-12-1222-1-12222222-1-1-22-1-1-12-1-1-12-2-211111100-2-22222-1-1-1-1-1-1-1-1-2-2-2111111-202-2-2111111110000-1-100-2-2-1-1-1-10000-2-22011-1-1000020000-1-11100000000
χ21222222-12-1222-1-122-2-2-2-22-1-122-1-1-12-1-1-1222-1-1-1-1-1-10022-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-202-2-2111111-1-10000-1-1002211110000-2-220-1-1-1-10000-20000111100000000
χ22222222-12-1222-1-122-2-2-2-22-1-122-1-1-12-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-20-2-2-21111111100001100-2-21111000022-201111000020000-1-1-1-100000000
χ23222222-12-1222-1-122-2-2-2-22-1-1-22-1-1-12-1-1-12-2-21111110022-2-2-2-21111-1-1-1-1-2-2-211111120-222-1-1-1-1-1-1-1-1000011002211110000-2-2-20-1-111000020000-1-11100000000
χ24222222-12-1222-1-122-2-2-2-22-1-1-22-1-1-12-1-1-12-2-211111100-2-2-2-2-2-21111-1-1-1-1-2-2-211111120222-1-1-1-1-1-1110000-1-100-2-211110000222011-1-10000-2000011-1-100000000
χ2522222-12-122-12222-10000-1-122-1-122-1-1-12-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-10220000000022222222-1-1-1-10000220000-1-1-1-1-1-1-1-1-1-1020-1-10000000000-10
χ2622222-12-122-12222-10000-1-122-1-122-1-1-12-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-200000000-2-22222-2-2-1-1110000-2-200001-11111-1-1-1-10-2011000000000010
χ2722222-12-122-12222-10000-1-122-1-122-1-1-12-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-220000000022-2-2-2-22211-1-10000-2-20000-11-1-1-1-111110-2011000000000010
χ2822222-12-122-12222-10000-1-122-1-122-1-1-12-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-200000000-2-2-2-2-2-2-2-2111100002200001111111111020-1-10000000000-10
χ2922222-12-122-12222-10000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-2000000002222-2-2-2-2-1-1-1-1000022000011-1-111-1-1110-20-1-1000000000010
χ3022222-12-122-12222-10000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-11111111110-2200000000-2-222-2-222-1-1110000-2-20000-1111-1-1-1-111020110000000000-10
χ3122222-12-122-12222-10000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111102-20000000022-2-222-2-211-1-10000-2-200001-1-1-11111-1-1020110000000000-10
χ3222222-12-122-12222-10000-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111102200000000-2-2-2-2222211110000220000-1-111-1-111-1-10-20-1-1000000000010
χ332222-12222-12-122-122222-12-12-12-1-1-122-1-1-1-122-1-1-1-12200-1-1-1-12222-1-1-1-12-1-122-1-1-1-1220-1-122-1-1-1-100-1-1-1-1002200-1-1-1-1002200020000-1-1-1-1002000000-1-1-1-10000
χ342222-12222-12-122-122222-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-200-1-1-1-12222-1-1-1-12-1-122-1-1-1-12-20-1-122-1-1-1-100111100-2-200-1-1-1-100-2-2000-20000111100-200000011110000
χ352222-12222-12-122-122222-12-1-2-12-1-1-122-1-111-2-211112200-1-1-1-12222-1-1-1-1-211-2-21111-2-2011-2-2111100-1-111002200-1-1-1-10022000-20000-1-11100-2000000-1-1110000
χ362222-12222-12-122-122222-12-1-2-12-1-1-122-1-111-2-21111-2-200-1-1-1-12222-1-1-1-1-211-2-21111-22011-2-211110011-1-100-2-200-1-1-1-100-2-20002000011-1-100200000011-1-10000
χ372222-12222-12-122-12-2-2-2-2-12-12-12-1-1-122-1-1-1-122-1-1-1-122001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-22011-2-2111100-1-1-1-1002200111100-2-200020000-1-1-1-100-200000011110000
χ382222-12222-12-122-12-2-2-2-2-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-2001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2011-2-2111100111100-2-20011110022000-200001111002000000-1-1-1-10000
χ392222-12222-12-122-12-2-2-2-2-12-1-2-12-1-1-122-1-111-2-2111122001111-2-2-2-2-1-1-1-1-211-2-211112-20-1-122-1-1-1-100-1-111002200111100-2-2000-20000-1-11100200000011-1-10000
χ402222-12222-12-122-12-2-2-2-2-12-1-2-12-1-1-122-1-111-2-21111-2-2001111-2-2-2-2-1-1-1-1-211-2-21111220-1-122-1-1-1-10011-1-100-2-200111100220002000011-1-100-2000000-1-1110000
χ4122-2-2222-22-2-22-2-2-222i2i−2i−2i2220-2-22-2-22-2-2200000000002-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000002-2000000002-22i2i−2i−2i00002i−2i002-200000000000002i−2i00000000
χ4222-2-2222-22-2-22-2-2-222i2i−2i−2i2220-2-22-2-22-2-220000000000-222i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000-2200000000-222i2i−2i−2i0000−2i2i00-220000000000000−2i2i00000000
χ4322-2-2222-22-2-22-2-2-22−2i−2i2i2i2220-2-22-2-22-2-2200000000002-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000002-2000000002-2−2i−2i2i2i0000−2i2i002-20000000000000−2i2i00000000
χ4422-2-2222-22-2-22-2-2-22−2i−2i2i2i2220-2-22-2-22-2-220000000000-22−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000000-2200000000-22−2i−2i2i2i00002i−2i00-2200000000000002i−2i00000000
χ4522-2-222-1-2-1-2-2211-222i2i−2i−2i2-1-10-21-11-2-1112003−333−3−3002-22i2i−2i−2i−i−iii-1-1110003−333−3−300000−i3i3−i3−i3i3i3-1100003−3002-2−i−iii00002i−2i00-113−3000000000−i3i3−ii00000000
χ4622-2-222-1-2-1-2-2211-222i2i−2i−2i2-1-10-21-11-2-1112003−333−3−300-222i2i−2i−2i−i−iii-1-1110003−333−3−300000−i3i3−i3−i3i3i31-10000−3300-22−i−iii0000−2i2i001-1−33000000000i3−i3i−i00000000
χ4722-2-222-1-2-1-2-2211-222i2i−2i−2i2-1-10-21-11-2-111200−33−3−333002-22i2i−2i−2i−i−iii-1-111000−33−3−33300000i3−i3i3i3−i3−i3-110000−33002-2−i−iii00002i−2i00-11−33000000000i3−i3−ii00000000
χ4822-2-222-1-2-1-2-2211-222i2i−2i−2i2-1-10-21-11-2-111200−33−3−33300-222i2i−2i−2i−i−iii-1-111000−33−3−33300000i3−i3i3i3−i3−i31-100003−300-22−i−iii0000−2i2i001-13−3000000000−i3i3i−i00000000
χ4922-2-222-1-2-1-2-2211-22−2i−2i2i2i2-1-10-21-11-2-1112003−333−3−3002-2−2i−2i2i2iii−i−i-1-1110003−333−3−300000i3−i3i3i3−i3−i3-1100003−3002-2ii−i−i0000−2i2i00-113−3000000000i3−i3i−i00000000
χ5022-2-222-1-2-1-2-2211-22−2i−2i2i2i2-1-10-21-11-2-1112003−333−3−300-22−2i−2i2i2iii−i−i-1-1110003−333−3−300000i3−i3i3i3−i3−i31-10000−3300-22ii−i−i00002i−2i001-1−33000000000−i3i3−ii00000000
χ5122-2-222-1-2-1-2-2211-22−2i−2i2i2i2-1-10-21-11-2-111200−33−3−333002-2−2i−2i2i2iii−i−i-1-111000−33−3−33300000−i3i3−i3−i3i3i3-110000−33002-2ii−i−i0000−2i2i00-11−33000000000−i3i3i−i00000000
χ5222-2-222-1-2-1-2-2211-22−2i−2i2i2i2-1-10-21-11-2-111200−33−3−33300-22−2i−2i2i2iii−i−i-1-111000−33−3−33300000−i3i3−i3−i3i3i31-100003−300-22ii−i−i00002i−2i001-13−3000000000i3−i3−ii00000000
χ532-22-2222-2-222-22-2-2-22-22-22220-2-2-2-22-222-2000000002i−2i002-22-22-22-22-2-2200000000000000000000002i−2i00002i−2i002-22-2002i−2i000000002i−2i000000000002i−2i000000
χ542-22-2222-2-222-22-2-2-22-22-22220-2-2-2-22-222-200000000−2i2i002-22-22-22-22-2-220000000000000000000000−2i2i0000−2i2i002-22-200−2i2i00000000−2i2i00000000000−2i2i000000
χ552-22-2222-2-222-22-2-2-2-22-222220-2-2-2-22-222-2000000002i−2i00-22-22-22-222-2-2200000000000000000000002i−2i00002i−2i00-22-2200−2i2i000000002i−2i00000000000−2i2i000000
χ562-22-2222-2-222-22-2-2-2-22-222220-2-2-2-22-222-200000000−2i2i00-22-22-22-222-2-220000000000000000000000−2i2i0000−2i2i00-22-22002i−2i00000000−2i2i000000000002i−2i000000
χ572-22-2-122-2-2-1212-21-22-22-2-12-101-211-1-22-11−i3i300−i3i3−i3i32i−2i00-11-112-22-2-111-10−i3i300−i3i3−i3i3000−i3i300−i3i3−i3i300−ii3−3002i−2i00-11-11002i−2i00000000−ii3−3000000000−ii3−30000
χ582-22-2-122-2-2-1212-21-22-22-2-12-101-211-1-22-11−i3i300−i3i3−i3i3−2i2i00-11-112-22-2-111-10−i3i300−i3i3−i3i3000−i3i300−i3i3−i3i300i−i−3300−2i2i00-11-1100−2i2i00000000i−i−33000000000i−i−330000
χ592-22-2-122-2-2-1212-21-22-22-2-12-101-211-1-22-11i3−i300i3−i3i3−i32i−2i00-11-112-22-2-111-10i3−i300i3−i3i3−i3000i3−i300i3−i3i3−i300−ii−33002i−2i00-11-11002i−2i00000000−ii−33000000000−ii−330000
χ602-22-2-122-2-2-1212-21-22-22-2-12-101-211-1-22-11i3−i300i3−i3i3−i3−2i2i00-11-112-22-2-111-10i3−i300i3−i3i3−i3000i3−i300i3−i3i3−i300i−i3−300−2i2i00-11-1100−2i2i00000000i−i3−3000000000i−i3−30000
χ612-22-2-122-2-2-1212-21-2-22-22-12-101-211-1-22-11−i3i300−i3i3−i3i32i−2i001-11-1-22-22-111-10−i3i300−i3i3−i3i3000i3−i300i3−i3i3−i300−ii3−3002i−2i001-11-100−2i2i00000000−ii3−3000000000i−i−330000
χ622-22-2-122-2-2-1212-21-2-22-22-12-101-211-1-22-11−i3i300−i3i3−i3i3−2i2i001-11-1-22-22-111-10−i3i300−i3i3−i3i3000i3−i300i3−i3i3−i300i−i−3300−2i2i001-11-1002i−2i00000000i−i−33000000000−ii3−30000
χ632-22-2-122-2-2-1212-21-2-22-22-12-101-211-1-22-11i3−i300i3−i3i3−i32i−2i001-11-1-22-22-111-10i3−i300i3−i3i3−i3000−i3i300−i3i3−i3i300−ii−33002i−2i001-11-100−2i2i00000000−ii−33000000000i−i3−30000
χ642-22-2-122-2-2-1212-21-2-22-22-12-101-211-1-22-11i3−i300i3−i3i3−i3−2i2i001-11-1-22-22-111-10i3−i300i3−i3i3−i3000−i3i300−i3i3−i3i300i−i3−300−2i2i001-11-1002i−2i00000000i−i3−3000000000−ii−330000
χ652-2-222222-2-2-2-2-222-22i−2i−2i2i222022-22-2-2-2-2-20000000000002i−2i−2i2i2i−2i−2i2i2-22-2000000000000000000000000000000002i−2i−2i2i2-2000000000000000002-2000000002i−2i00
χ662-2-222222-2-2-2-2-222-22i−2i−2i2i222022-22-2-2-2-2-20000000000002i−2i−2i2i2i−2i−2i2i2-22-2000000000000000000000000000000002i−2i−2i2i-2200000000000000000-2200000000−2i2i00
χ672-2-222222-2-2-2-2-222-2−2i2i2i−2i222022-22-2-2-2-2-2000000000000−2i2i2i−2i−2i2i2i−2i2-22-200000000000000000000000000000000−2i2i2i−2i2-2000000000000000002-200000000−2i2i00
χ682-2-222222-2-2-2-2-222-2−2i2i2i−2i222022-22-2-2-2-2-2000000000000−2i2i2i−2i−2i2i2i−2i2-22-200000000000000000000000000000000−2i2i2i−2i-2200000000000000000-22000000002i−2i00
χ6944444-2-2-2-24-24-2-24-20000-21-24-21-2-2-211-2-244-2-2-2-2-2-20044000000001111-2-2-211111100400000000-2-20000-2-200-2-20000000000-201111000000000000000000000
χ7044444-2-2-2-24-24-2-24-20000-21-24-21-2-2-211-2-244-2-2-2-2-2-200-4-4000000001111-2-2-211111100-400000000220000220022000000000020-1-1-1-1000000000000000000000
χ7144444-2-2-2-24-24-2-24-20000-21-2-4-21-2-2-211-2-2-4-42222220044000000001111222-1-1-1-1-1-100-400000000-2-200002200-2-200000000002011-1-1000000000000000000000
χ7244444-2-2-2-24-24-2-24-20000-21-2-4-21-2-2-211-2-2-4-422222200-4-4000000001111222-1-1-1-1-1-100400000000220000-2-200220000000000-20-1-111000000000000000000000
χ734444-24-24-2-24-2-2-2-244444-2-214-2-211-2-2-21-2-2-2-2-211110000-2-2-2-2-2-2-2-211114-2-2-2-21111400-2-2-2-211110000000000001111000000000000000000000000000000000
χ744444-24-24-2-24-2-2-2-244444-2-21-4-2-211-2-2-21-22222-1-1-1-10000-2-2-2-2-2-2-2-21111-42222-1-1-1-1-4002222-1-1-1-10000000000001111000000000000000000000000000000000
χ754444-24-24-2-24-2-2-2-24-4-4-4-4-2-214-2-211-2-2-21-2-2-2-2-2111100002222222211114-2-2-2-21111-4002222-1-1-1-1000000000000-1-1-1-1000000000000000000000000000000000
χ764444-24-24-2-24-2-2-2-24-4-4-4-4-2-21-4-2-211-2-2-21-22222-1-1-1-10000222222221111-42222-1-1-1-1400-2-2-2-21111000000000000-1-1-1-1000000000000000000000000000000000
χ774444-2-24-24-2-2-244-2-200001-2-241-2-2-21-2-2-21-2-244-2-2-2-24400000000001111-211-2-211110400000000000-2-2-2-200-2-20000000000000-20000111100000000000000000
χ784444-2-24-24-2-2-244-2-200001-2-241-2-2-21-2-2-21-2-244-2-2-2-2-4-400000000001111-211-2-211110-40000000000022220022000000000000020000-1-1-1-100000000000000000
χ794444-2-24-24-2-2-244-2-200001-2-2-41-2-2-21-2-2-2122-4-4222244000000000011112-1-122-1-1-1-10-400000000000-2-22200-2-200000000000002000011-1-100000000000000000
χ804444-2-24-24-2-2-244-2-200001-2-2-41-2-2-21-2-2-2122-4-42222-4-4000000000011112-1-122-1-1-1-1040000000000022-2-200220000000000000-20000-1-11100000000000000000
χ8144-4-44-2424-424-4-4-4-20000-2-240224-42-22-4-200000000004-400000000-2-222000000000000000000004-400000000-22000000000000-2200000000000000000000000
χ8244-4-44-2424-424-4-4-4-20000-2-240224-42-22-4-20000000000-4400000000-2-22200000000000000000000-44000000002-20000000000002-200000000000000000000000
χ8344-4-44-2-22-2-42422-4-20000-21-202-1-2221-12-20023−232323−23−23004-40000000011-1-1000−33−3−33300000000000-22000023−2300-220000000000001-1−33000000000000000000000
χ8444-4-44-2-22-2-42422-4-20000-21-202-1-2221-12-20023−232323−23−2300-440000000011-1-1000−33−3−333000000000002-20000−2323002-2000000000000-113−3000000000000000000000
χ8544-4-44-2-22-2-42422-4-20000-21-202-1-2221-12-200−2323−23−232323004-40000000011-1-10003−333−3−300000000000-220000−232300-220000000000001-13−3000000000000000000000
χ8644-4-44-2-22-2-42422-4-20000-21-202-1-2221-12-200−2323−23−23232300-440000000011-1-10003−333−3−3000000000002-2000023−23002-2000000000000-11−33000000000000000000000
χ8744-4-4-244-442-4-2-4-4244i4i−4i−4i-24-202-4-2224-42-2000000000000−2i−2i2i2i4i4i−4i−4i-2-22200000000000000000000000000000000−2i−2i2i2i000000000000000000000000000000000
χ8844-4-4-244-442-4-2-4-424−4i−4i4i4i-24-202-4-2224-42-20000000000002i2i−2i−2i−4i−4i4i4i-2-222000000000000000000000000000000002i2i−2i−2i000000000000000000000000000000000
χ8944-4-4-24-2-4-22-4-222244i4i−4i−4i-2-210221-12-22-1-20023−23−3−3330000−2i−2i2i2i−2i−2i2i2i11-1-100023−23−3−33300000−2i32i3i3i3−i3−i3000000000000ii−i−i000000000000000000000000000000000
χ9044-4-4-24-2-4-22-4-222244i4i−4i−4i-2-210221-12-22-1-200−232333−3−30000−2i−2i2i2i−2i−2i2i2i11-1-1000−232333−3−3000002i3−2i3−i3−i3i3i3000000000000ii−i−i000000000000000000000000000000000
χ9144-4-4-24-2-4-22-4-22224−4i−4i4i4i-2-210221-12-22-1-20023−23−3−33300002i2i−2i−2i2i2i−2i−2i11-1-100023−23−3−333000002i3−2i3−i3−i3i3i3000000000000−i−iii000000000000000000000000000000000
χ9244-4-4-24-2-4-22-4-22224−4i−4i4i4i-2-210221-12-22-1-200−232333−3−300002i2i−2i−2i2i2i−2i−2i11-1-1000−232333−3−300000−2i32i3i3i3−i3−i3000000000000−i−iii000000000000000000000000000000000
χ934-44-444-2-4244-4-22-4-44-44-44-2-20-422242-2-2-40000000000004-44-4-22-22-222-200000000000000000000000000000000-22-22000000000000000000000000000000000
χ944-44-444-2-4244-4-22-4-4-44-444-2-20-422242-2-2-4000000000000-44-442-22-2-222-2000000000000000000000000000000002-22-2000000000000000000000000000000000
χ954-44-44-242-44-2-44-4-420000-2-24022-4-4-22-242000000004i−4i0000000000-222-200000000000000000000004i−4i0000−2i2i000000000000000000−2i2i0000000000000000000
χ964-44-44-242-44-2-44-4-420000-2-24022-4-4-22-24200000000−4i4i0000000000-222-20000000000000000000000−4i4i00002i−2i0000000000000000002i−2i0000000000000000000
χ974-44-4-24-2-42-242-222-44-44-4-2-21022-1-1-22-212−2i32i300i3−i3i3−i30000-22-22-22-221-1-110−2i32i300i3−i3i3−i3000−2i32i300i3−i3i3−i30000000000001-11-1000000000000000000000000000000000
χ984-44-4-24-2-42-242-222-44-44-4-2-21022-1-1-22-2122i3−2i300−i3i3−i3i30000-22-22-22-221-1-1102i3−2i300−i3i3−i3i30002i3−2i300−i3i3−i3i30000000000001-11-1000000000000000000000000000000000
χ994-44-4-24-2-42-242-222-4-44-44-2-21022-1-1-22-212−2i32i300i3−i3i3−i300002-22-22-22-21-1-110−2i32i300i3−i3i3−i30002i3−2i300−i3i3−i3i3000000000000-11-11000000000000000000000000000000000
χ1004-44-4-24-2-42-242-222-4-44-44-2-21022-1-1-22-2122i3−2i300−i3i3−i3i300002-22-22-22-21-1-1102i3−2i300−i3i3−i3i3000−2i32i300i3−i3i3−i3000000000000-11-11000000000000000000000000000000000
χ1014-44-4-2-242-4-2-224-42200001-2-20-122212-2-2-1−2i32i300−2i32i3−2i32i34i−4i00000000001-1-110i3−i300i3−i3i3−i30000000000000−2i2i23−2300−2i2i000000000000000000i−i−3300000000000000000
χ1024-44-4-2-242-4-2-224-42200001-2-20-122212-2-2-1−2i32i300−2i32i3−2i32i3−4i4i00000000001-1-110i3−i300i3−i3i3−i300000000000002i−2i−2323002i−2i000000000000000000−ii3−300000000000000000
χ1034-44-4-2-242-4-2-224-42200001-2-20-122212-2-2-12i3−2i3002i3−2i32i3−2i34i−4i00000000001-1-110−i3i300−i3i3−i3i30000000000000−2i2i−232300−2i2i000000000000000000i−i3−300000000000000000
χ1044-44-4-2-242-4-2-224-42200001-2-20-122212-2-2-12i3−2i3002i3−2i32i3−2i3−4i4i00000000001-1-110−i3i300−i3i3−i3i300000000000002i−2i23−23002i−2i000000000000000000−ii−3300000000000000000
χ1054-4-4444-242-4-4-42-24-44i−4i−4i4i4-2-204-22-2-4222-40000000000004i−4i−4i4i−2i2i2i−2i-22-2200000000000000000000000000000000−2i2i2i−2i000000000000000000000000000000000
χ1064-4-4444-242-4-4-42-24-4−4i4i4i−4i4-2-204-22-2-4222-4000000000000−4i4i4i−4i2i−2i−2i2i-22-22000000000000000000000000000000002i−2i−2i2i000000000000000000000000000000000
χ1074-4-444-24-2-4-42-4-44420000-2-240-2-2-44222-4200000000000000000000-22-220000000000000000000000000000000000004-400000000000000000-22000000000000
χ1084-4-444-24-2-4-42-4-44420000-2-240-2-2-44222-4200000000000000000000-22-22000000000000000000000000000000000000-44000000000000000002-2000000000000
χ1094-4-44-2444-42-42-44-2-44i−4i−4i4i-24-20-242-22-4-422000000000000−2i2i2i−2i4i−4i−4i4i-22-2200000000000000000000000000000000−2i2i2i−2i000000000000000000000000000000000
χ1104-4-44-2444-42-42-44-2-4−4i4i4i−4i-24-20-242-22-4-4220000000000002i−2i−2i2i−4i4i4i−4i-22-22000000000000000000000000000000002i−2i−2i2i000000000000000000000000000000000
χ1114-4-44-24-2422-422-2-2-44i−4i−4i4i-2-210-2-2-11222-1200003i−3i−3i3i0000−2i2i2i−2i−2i2i2i−2i1-11-1000003i−3i−3i3i00000003-3-33000000000000i−i−ii000000000000000000000000000000000
χ1124-4-44-24-2422-422-2-2-44i−4i−4i4i-2-210-2-2-11222-120000−3i3i3i−3i0000−2i2i2i−2i−2i2i2i−2i1-11-100000−3i3i3i−3i0000000-333-3000000000000i−i−ii000000000000000000000000000000000
χ1134-4-44-24-2422-422-2-2-4−4i4i4i−4i-2-210-2-2-11222-1200003i−3i−3i3i00002i−2i−2i2i2i−2i−2i2i1-11-1000003i−3i−3i3i0000000-333-3000000000000−iii−i000000000000000000000000000000000
χ1144-4-44-24-2422-422-2-2-4−4i4i4i−4i-2-210-2-2-11222-120000−3i3i3i−3i00002i−2i−2i2i2i−2i−2i2i1-11-100000−3i3i3i−3i00000003-3-33000000000000−iii−i000000000000000000000000000000000
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
χ11788-8-8-4-484844-4-8-84-400002-4-40-24-44-2-44420000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-44-444-4444-400002220-2-22-2-22-2-220043−43−23−232323000000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-44-444-4444-400002220-2-22-2-22-2-2200−43432323−23−23000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1208-88-88-4-4448-4-8-44-840000-42-404-244-4-22-44000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-444-4-44-444400002220-2-2-2-22-222-2−4i34i3002i3−2i32i3−2i3000000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-444-4-44-444400002220-2-2-2-22-222-24i3−4i300−2i32i3−2i32i3000000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000000
χ1238-8-888-4-4-44-84-84-4840000-42-40-424-44-2-244000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-48-4-8444-88-4400002-4-402-44-4-2444-2000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-4-444444-4-440000222022-22-2-2-2-2-200006i−6i−6i6i000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4-444444-4-440000222022-22-2-2-2-2-20000−6i6i6i−6i000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000

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