Finite Group Databasebeta

← Group #13169268

Character table — Group #13169268

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666633346666666661212121212121212444444441212121212121212366612121212121212121244121212121212121212121212121212121212121212121212222212121212121212121212224466666612121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-111111111-1-1-1-1-1-1111111111111-1-1-111111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111111111-1111-1-1-1-1-1-11111111111111111-1-1111-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-111-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-11111-1-1-1111-1-1-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-11111-11-1-1-1-11111-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-11-1-11111-1-1-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111-11-111-1-111-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-111-1-111-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-111-1-111-11-1-11111-1-1-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-111-11-1-1-1-11111-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-11
χ17222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-1220022222222-1-1-1-1-1-1-1-12-1-122-1-1-1-102-1-100000022-1-1-1-122-1-1-1-1-1-1-1-10022200000-1-1-1-1200000-1-1-1-10000000
χ18222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-1220022-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-10-2-1-1000000-2-2111122-1-1-1-1-1-1-1-100-2-2-2000001111-20000011110000000
χ19222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-200-2-222-2-2-2-21111-1-1-1-12-1-122-1-1-1-1021100000022-1-1-1-1-2-21111111100-2-2200000-1-1-1-1-20000011110000000
χ20222222-1-1-12222-1222-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-211000000-2-21111-2-2111111110022-2000001111200000-1-1-1-10000000
χ21222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-211112200-2-22222221111-1-1-1-1-211-2-211110-2-1-100000022-1-111-2-2-1-1-1-111110022-200000-1-111-200000-1-1110000000
χ22222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-211112200-2-2-2-222221111-1-1-1-1-211-2-2111102-1-1000000-2-211-1-1-2-2-1-1-1-1111100-2-220000011-1-120000011-1-10000000
χ23222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-21111-2-2002222-2-2-2-2-1-1-1-1-1-1-1-1-211-2-211110-21100000022-1-111221111-1-1-1-100-2-2-200000-1-11120000011-1-10000000
χ24222222-1-1-12222-1222-1-1-22-1-1-12-1-12-111-2-21111-2-20022-2-2-2-2-2-2-1-1-1-1-1-1-1-1-211-2-211110211000000-2-211-1-1221111-1-1-1-1002220000011-1-1-200000-1-1110000000
χ2522222-12222-12-122-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-122222200-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1202222-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1220002-1-1-1-100000002-1-10000-1-100000
χ2622222-12222-12-122-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-122-2-22200-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-2022-2-21111000000-1-1-1-1-1-1-1-1-1-1-2-2000-211110000000-21100001100000
χ2722222-12222-12-122-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-222-2-2001111-2-2-2-2-1-1-1-1222-1-1-1-1-1-120-2-222-1-1-1-10000001111111111-2-20002-1-1-1-10000000-21100001100000
χ2822222-12222-12-122-1-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2001111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2-2-2-21111000000111111111122000-2111100000002-1-10000-1-100000
χ2922222-12222-12-122-1-12-1-2-122-1-1-1-1-12-2-21111112222-2-200-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2111111-202222-1-11100000011-1-1-1-11111-2-2000-211-1-100000002110000-1-100000
χ3022222-12222-12-122-1-12-1-2-122-1-1-1-1-12-2-211111122-2-2-2-200-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111112022-2-211-1-100000011-1-1-1-11111220002-1-1110000000-2-1-100001100000
χ3122222-12222-12-122-1-12-1-2-122-1-1-1-1-12-2-2111111-2-222220011112222-1-1-1-1-2-2-2111111-20-2-222-1-111000000-1-11111-1-1-1-122000-211-1-10000000-2-1-100001100000
χ3222222-12222-12-122-1-12-1-2-122-1-1-1-1-12-2-2111111-2-2-2-2220011112222-1-1-1-1-2-2-211111120-2-2-2-211-1-1000000-1-11111-1-1-1-1-2-20002-1-11100000002110000-1-100000
χ332222-12222-12-122-12-1-122-1-1-12-122-1-1222222220022002200000000-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-12222-1-1222200000000000000-1-1-1-1-1-1-1-1-1-1022000000000-1-1-100
χ342222-12222-12-122-12-1-122-1-1-12-122-1-122222222002200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-200-1-1222211-2-2-2-2000000000000001-1-1-1-1-111110-2-200000000011100
χ352222-12222-12-122-12-1-122-1-1-12-122-1-12222222200-2-2002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220011-2-2-2-2-1-1222200000000000000-111111-1-1-1-10-2-200000000011100
χ362222-12222-12-122-12-1-122-1-1-12-122-1-12222222200-2-200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011-2-2-2-211-2-2-2-2000000000000001111111111022000000000-1-1-100
χ372222-12222-12-122-12-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20022002200000000-1-1-1-1111111111-2-200-1-122-2-2-1-122-2-2000000000000001111-1-1-1-1110-22000000000-1-1100
χ382222-12222-12-122-12-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2002200-2-200000000-1-1-1-1111111111-2200-1-122-2-211-2-22200000000000000-1111-1-111-1-102-200000000011-100
χ392222-12222-12-122-12-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-2002200000000-1-1-1-11111111112-20011-2-222-1-122-2-2000000000000001-1-1-111-1-11102-200000000011-100
χ402222-12222-12-122-12-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-200-2-200000000-1-1-1-1111111111220011-2-22211-2-22200000000000000-1-1-1-11111-1-10-22000000000-1-1100
χ4122-2-2222-22-2-2-22-22-22220-22-2-222-2-2-200000000002i−2i2i−2i0000002i2i−2i−2i22-2-200000000000002i−2i2i−2i000000002i−2i00002i2i−2i−2i2-20000002i−2i000000002-200000000000
χ4222-2-2222-22-2-2-22-22-22220-22-2-222-2-2-200000000002i−2i−2i2i000000−2i−2i2i2i22-2-200000000000002i−2i2i−2i00000000−2i2i0000−2i−2i2i2i-220000002i−2i00000000-2200000000000
χ4322-2-2222-22-2-2-22-22-22220-22-2-222-2-2-20000000000−2i2i2i−2i0000002i2i−2i−2i22-2-20000000000000−2i2i−2i2i000000002i−2i00002i2i−2i−2i-22000000−2i2i00000000-2200000000000
χ4422-2-2222-22-2-2-22-22-22220-22-2-222-2-2-20000000000−2i2i−2i2i000000−2i−2i2i2i22-2-20000000000000−2i2i−2i2i00000000−2i2i0000−2i−2i2i2i2-2000000−2i2i000000002-200000000000
χ4522-2-22-12-22-21-2-1-221-12-1012-21-1-111-2003−333−3−3002i−2i2i−2i00−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−300002i−2i−ii−i3i3000000−ii−i3−i3i3i3−i−iii2-20000−i3i3−ii00000000-1100003−300000
χ4622-2-22-12-22-21-2-1-221-12-1012-21-1-111-2003−333−3−3002i−2i−2i2i00i3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−300002i−2i−ii−i3i3000000i−ii3i3−i3−i3ii−i−i-220000−i3i3−ii000000001-10000−3300000
χ4722-2-22-12-22-21-2-1-221-12-1012-21-1-111-2003−333−3−300−2i2i2i−2i00−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−30000−2i2ii−ii3−i3000000−ii−i3−i3i3i3−i−iii-220000i3−i3i−i000000001-10000−3300000
χ4822-2-22-12-22-21-2-1-221-12-1012-21-1-111-2003−333−3−300−2i2i−2i2i00i3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−30000−2i2ii−ii3−i3000000i−ii3i3−i3−i3ii−i−i2-20000i3−i3i−i00000000-1100003−300000
χ4922-2-22-12-22-21-2-1-221-12-1012-21-1-111-200−33−3−333002i−2i2i−2i00i3i3−i3−i32i2i−2i−2i-1-111000−33−3−33300002i−2i−iii3−i3000000−iii3i3−i3−i3−i−iii2-20000i3−i3−ii00000000-110000−3300000
χ5022-2-22-12-22-21-2-1-221-12-1012-21-1-111-200−33−3−333002i−2i−2i2i00−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−33300002i−2i−iii3−i3000000i−i−i3−i3i3i3ii−i−i-220000i3−i3−ii000000001-100003−300000
χ5122-2-22-12-22-21-2-1-221-12-1012-21-1-111-200−33−3−33300−2i2i2i−2i00i3i3−i3−i32i2i−2i−2i-1-111000−33−3−3330000−2i2ii−i−i3i3000000−iii3i3−i3−i3−i−iii-220000−i3i3i−i000000001-100003−300000
χ5222-2-22-12-22-21-2-1-221-12-1012-21-1-111-200−33−3−33300−2i2i−2i2i00−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−3330000−2i2ii−i−i3i3000000i−i−i3−i3i3i3ii−i−i2-20000−i3i3i−i00000000-110000−3300000
χ532-22-22222-222-2-2-2-2-22220-2-222-2-2-22-2000000002i−2i00002i−2i2i−2i2i−2i00002-2-22000000000002i−2i0000002i−2i2i−2i00002i−2i2i−2i0000002-20000002i−2i000000002-2000000000
χ542-22-22222-222-2-2-2-2-22220-2-222-2-2-22-2000000002i−2i0000−2i2i2i−2i2i−2i00002-2-22000000000002i−2i000000−2i2i−2i2i00002i−2i2i−2i000000-22000000−2i2i00000000-22000000000
χ552-22-22222-222-2-2-2-2-22220-2-222-2-2-22-200000000−2i2i00002i−2i−2i2i−2i2i00002-2-2200000000000−2i2i0000002i−2i2i−2i0000−2i2i−2i2i000000-220000002i−2i00000000-22000000000
χ562-22-22222-222-2-2-2-2-22220-2-222-2-2-22-200000000−2i2i0000−2i2i−2i2i−2i2i00002-2-2200000000000−2i2i000000−2i2i−2i2i0000−2i2i−2i2i0000002-2000000−2i2i000000002-2000000000
χ572-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121−i3i300−i3i3−i3i32i−2i00002i−2i2i−2i2i−2i3−33−3-111-10−i3i300−i3i3−i3i300−ii0000002i−2i−ii3−300−ii−ii3−33−3002-2000000−ii3−3000000-11−i3i30000000
χ582-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121−i3i300−i3i3−i3i32i−2i0000−2i2i2i−2i2i−2i3−33−3-111-10−i3i300−i3i3−i3i300−ii000000−2i2ii−i−3300−ii−ii3−33−300-22000000i−i−330000001-1i3−i30000000
χ592-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121−i3i300−i3i3−i3i3−2i2i00002i−2i−2i2i−2i2i−33−33-111-10−i3i300−i3i3−i3i300i−i0000002i−2i−ii3−300i−ii−i−33−3300-22000000−ii3−30000001-1i3−i30000000
χ602-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121−i3i300−i3i3−i3i3−2i2i0000−2i2i−2i2i−2i2i−33−33-111-10−i3i300−i3i3−i3i300i−i000000−2i2ii−i−3300i−ii−i−33−33002-2000000i−i−33000000-11−i3i30000000
χ612-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121i3−i300i3−i3i3−i32i−2i00002i−2i2i−2i2i−2i−33−33-111-10i3−i300i3−i3i3−i300−ii0000002i−2i−ii−3300−ii−ii−33−33002-2000000−ii−33000000-11i3−i30000000
χ622-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121i3−i300i3−i3i3−i32i−2i0000−2i2i2i−2i2i−2i−33−33-111-10i3−i300i3−i3i3−i300−ii000000−2i2ii−i3−300−ii−ii−33−3300-22000000i−i3−30000001-1−i3i30000000
χ632-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121i3−i300i3−i3i3−i3−2i2i00002i−2i−2i2i−2i2i3−33−3-111-10i3−i300i3−i3i3−i300i−i0000002i−2i−ii−3300i−ii−i3−33−300-22000000−ii−330000001-1−i3i30000000
χ642-22-222-1-1122-2-21-2-22-1-10-21-1-1-21121i3−i300i3−i3i3−i3−2i2i0000−2i2i−2i2i−2i2i3−33−3-111-10i3−i300i3−i3i3−i300i−i000000−2i2ii−i3−300i−ii−i3−33−3002-2000000i−i3−3000000-11i3−i30000000
χ6544444-2-2-2-24-24-2-24-2-2-214-2-2-21-211-2-2-2-2-2-2111144004400-2-2-2-2-2-2-2-211114-2-2-2-2111100-2-2000000000000-2-2111111110000000000000000000000000000000
χ6644444-2-2-2-24-24-2-24-2-2-214-2-2-21-211-2-2-2-2-2-21111-4-400-4-4002222222211114-2-2-2-21111002200000000000022-1-1-1-1-1-1-1-10000000000000000000000000000000
χ6744444-2-2-2-24-24-2-24-2-2-21-4-2-2-21-211-2-22222-1-1-1-14400-4-400-2-2-2-222221111-42222-1-1-1-100-2-2000000000000221111-1-1-1-10000000000000000000000000000000
χ6844444-2-2-2-24-24-2-24-2-2-21-4-2-2-21-211-2-22222-1-1-1-1-4-40044002222-2-2-2-21111-42222-1-1-1-10022000000000000-2-2-1-1-1-111110000000000000000000000000000000
χ694444-24-2-2-2-24-24-2-24-21-24-211-2-2-2-2-21-2-244-2-2-2-200000044000000001111-211-2-211110400000000-2-2-2-2-2-200000000000000-200000111100000000000000000
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χ7944-4-44-2-22-2-42-4-2242-2-2102-22-1-21-1220023−23−3−33300004i−4i00−2i3−2i32i32i3−2i−2i2i2i11-1-100023−23−3−3330000000000000000−2i2ii3i3−i3−i3ii−i−i0000000000000000000000000000000
χ8044-4-44-2-22-2-42-4-2242-2-2102-22-1-21-1220023−23−3−3330000−4i4i002i32i3−2i3−2i32i2i−2i−2i11-1-100023−23−3−33300000000000000002i−2i−i3−i3i3i3−i−iii0000000000000000000000000000000
χ8144-4-44-2-22-2-42-4-2242-2-2102-22-1-21-12200−232333−3−300004i−4i002i32i3−2i3−2i3−2i−2i2i2i11-1-1000−232333−3−30000000000000000−2i2i−i3−i3i3i3ii−i−i0000000000000000000000000000000
χ8244-4-44-2-22-2-42-4-2242-2-2102-22-1-21-12200−232333−3−30000−4i4i00−2i3−2i32i32i32i2i−2i−2i11-1-1000−232333−3−300000000000000002i−2ii3i3−i3−i3−i−iii0000000000000000000000000000000
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χ934-44-44-2-2-224-2-422-42-2-21022-212-1-1-222i3−2i300−i3i3−i3i34i−4i000000−2i2i−2i2i−2323−23231-1-1102i3−2i300−i3i3−i3i300−2i2i00000000000000i−ii−i3−33−30000000000000000000000000000000
χ944-44-44-2-2-224-2-422-42-2-21022-212-1-1-222i3−2i300−i3i3−i3i3−4i4i0000002i−2i2i−2i23−2323−231-1-1102i3−2i300−i3i3−i3i3002i−2i00000000000000−ii−ii−33−330000000000000000000000000000000
χ954-44-4-2444-4-242-4-42-4-2-24022-242-4-4-22000000000000004i−4i00000000-222-20000000000000000000−2i2i4i−4i0000000000000000000000−2i2i0000000000000000000
χ964-44-4-2444-4-242-4-42-4-2-24022-242-4-4-2200000000000000−4i4i00000000-222-200000000000000000002i−2i−4i4i00000000000000000000002i−2i0000000000000000000
χ974-44-4-24-2-22-242-422-4-21-202-11-2222-2-1−2i32i300−2i32i3−2i32i30000004i−4i000000001-1-110i3−i300i3−i3i3−i30000000000−2i2i−2i2i23−2300000000000000000000i−i−3300000000000000000
χ984-44-4-24-2-22-242-422-4-21-202-11-2222-2-1−2i32i300−2i32i3−2i32i3000000−4i4i000000001-1-110i3−i300i3−i3i3−i300000000002i−2i2i−2i−232300000000000000000000−ii3−300000000000000000
χ994-44-4-24-2-22-242-422-4-21-202-11-2222-2-12i3−2i3002i3−2i32i3−2i30000004i−4i000000001-1-110−i3i300−i3i3−i3i30000000000−2i2i−2i2i−232300000000000000000000i−i3−300000000000000000
χ1004-44-4-24-2-22-242-422-4-21-202-11-2222-2-12i3−2i3002i3−2i32i3−2i3000000−4i4i000000001-1-110−i3i300−i3i3−i3i300000000002i−2i2i−2i23−2300000000000000000000−ii−3300000000000000000
χ1014-4-44444-4-4-4-44-44-4444404-4-4-4-4-44-440000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-222-4-44-4-2-444-2-204222-42-2-4-200000000000000000000−2i32i32i3−2i3-22-220000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
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χ1044-4-444-24-4-4-42424-4-2-24-20-2-4-4222-224000000000000000023−23−23230000-22-2200000000000000000000000000023−23−232300000000000000000000000000000000000
χ1054-4-444-24-4-4-42424-4-2-24-20-2-4-4222-2240000000000000000−232323−230000-22-22000000000000000000000000000−232323−2300000000000000000000000000000000000
χ1064-4-444-2-222-4242-2-4-2-2-210-222-12-112-200003i−3i−3i3i0000000023−23−2323−2i32i32i3−2i31-11-1000003i−3i−3i3i000000000000000000−333−3i3−i3−i3i30000000000000000000000000000000
χ1074-4-444-2-222-4242-2-4-2-2-210-222-12-112-200003i−3i−3i3i00000000−232323−232i3−2i3−2i32i31-11-1000003i−3i−3i3i0000000000000000003−3−33−i3i3i3−i30000000000000000000000000000000
χ1084-4-444-2-222-4242-2-4-2-2-210-222-12-112-20000−3i3i3i−3i0000000023−23−23232i3−2i3−2i32i31-11-100000−3i3i3i−3i000000000000000000−333−3−i3i3i3−i30000000000000000000000000000000
χ1094-4-444-2-222-4242-2-4-2-2-210-222-12-112-20000−3i3i3i−3i00000000−232323−23−2i32i32i3−2i31-11-100000−3i3i3i−3i0000000000000000003−3−33i3−i3−i3i30000000000000000000000000000000
χ1104-4-44-244-4-42-4-2-4424-2-240-222-42-442-2000000000000000000000000-22-22000000000000000000000000000000000000000000000000000000000000023−23000
χ1114-4-44-244-4-42-4-2-4424-2-240-222-42-442-2000000000000000000000000-22-220000000000000000000000000000000000000000000000000000000000000−2323000
χ1128888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ11488-8-8-48-44-44-8484-4-8-42-4042-24-4-444-200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-44-4444-44-442220-22-2-222-2-2-20043−43−23−2323230000000000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-44-4444-44-442220-22-2-222-2-2-200−43432323−23−230000000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-488-8-4-444-8442-4-40-24-4-4-244240000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-4-44-4-4444442220-2-222-2-2-22-2−4i34i3002i3−2i32i3−2i30000000000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4-44-4-4444442220-2-222-2-2-22-24i3−4i300−2i32i3−2i32i30000000000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1208-8-88-48-4444-8-4-8-448-42-40-4-2-2444-4420000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-48-8-844-4484-42-4-402444-24-4-2-40000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-44444-44-44-422202-2-2-2-2-22-2200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-44444-44-44-422202-2-2-2-2-22-220000−6i6i6i−6i0000000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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