Finite Group Databasebeta

← Group #13155607

Character table — Group #13155607

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222244444412121212121218181122222444444121212121212181822444448888882424242424243636224444488888824242424242436363366666121212121212363636363636545433666661212121212123636363636365454
order12334663612121212226666882266466661212121222666688363312663612121212666666242466661266661212121266666624244412124121212121212121244121212128844121241212121212121212441212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-111-1-1-1-111111111111111-111-1-1-1-111111111111111-111-1-1-1-111111111111111-111-1-1-1-111111111111111-111-1-1-1-111111111111111-111-1-1-1-1
χ31111111111111-11-1-111-1-11111111111111-11-1-111-1-11111111111111-11-1-111-1-11111111111111-11-1-111-1-11111111111111-11-1-111-1-11111111111111-11-1-111-1-1
χ41111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-111
χ52222-22222-2-2-2-2000000002222-22222-2-2-2-2000000002222-22222-2-2-2-2000000002222-22222-2-2-2-2000000002222-22222-2-2-2-2000000002222-22222-2-2-2-200000000
χ6222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100
χ7222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100
χ8222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300
χ9222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300
χ1022-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-10000
χ1122-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-20110000
χ1222-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i30000
χ1322-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i30000
χ142-2220-2-22-200000000002−22-2220-2-22-200000000002−22-2220-2-22-200000000002−22-2220-2-22-200000000002−22-2220-2-22-200000000002−22-2220-2-22-200000000002−2
χ152-2220-2-22-20000000000−222-2220-2-22-20000000000−222-2220-2-22-20000000000−222-2220-2-22-20000000000−222-2220-2-22-20000000000−222-2220-2-22-20000000000−22
χ1644-2-24-2-211-2-2110000000044-2-24-2-211-2-2110000000044-2-24-2-211-2-2110000000044-2-24-2-211-2-2110000000044-2-24-2-211-2-2110000000044-2-24-2-211-2-21100000000
χ1744-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-100000000
χ184-44-20-42-220000000000004-44-20-42-220000000000004-44-20-42-220000000000004-44-20-42-220000000000004-44-20-42-220000000000004-44-20-42-22000000000000
χ194-4-2402-4-220000000000004-4-2402-4-220000000000004-4-2402-4-220000000000004-4-2402-4-220000000000004-4-2402-4-220000000000004-4-2402-4-22000000000000
χ204-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i00000000
χ214-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i00000000
χ22111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2311111111111111-111-1-1-1-111111111111111-111-1-1-1-111111111111111-111-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ241111111111111-11-1-111-1-11111111111111-11-1-111-1-11111111111111-11-1-111-1-11111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ251111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ262222-22222-2-2-2-2000000002222-22222-2-2-2-2000000002222-22222-2-2-2-2000000002222-22222-2-2-2-200000000-2-2-2-22-2-2-2-2222200000000-2-2-2-22-2-2-2-2222200000000
χ27222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100222-122-1-1-12-1-1-10200-1-100-2-2-21-2-2111-21110-2001100-2-2-21-2-2111-21110-2001100
χ28222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100222-122-1-1-12-1-1-10-2001100-2-2-21-2-2111-21110200-1-100-2-2-21-2-2111-21110200-1-100
χ29222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300222-1-22-1-1-1-21110000−i3i300-2-2-212-21112-1-1-10000i3−i300-2-2-212-21112-1-1-10000i3−i300
χ30222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300222-1-22-1-1-1-21110000i3−i300-2-2-212-21112-1-1-10000−i3i300-2-2-212-21112-1-1-10000−i3i300
χ3122-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-1000022-122-12-1-1-12-1-120-1-10000-2-21-2-21-2111-211-20110000-2-21-2-21-2111-211-20110000
χ3222-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-2011000022-122-12-1-1-12-1-1-20110000-2-21-2-21-2111-21120-1-10000-2-21-2-21-2111-21120-1-10000
χ3322-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i3000022-12-2-12-1-11-21100−i3i30000-2-21-221-211-12-1-100i3−i30000-2-21-221-211-12-1-100i3−i30000
χ3422-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i3000022-12-2-12-1-11-21100i3−i30000-2-21-221-211-12-1-100−i3i30000-2-21-221-211-12-1-100−i3i30000
χ352-2220-2-22-200000000002−22-2220-2-22-200000000002−22-2220-2-22-200000000002−22-2220-2-22-200000000002−2-22-2-2022-220000000000−22-22-2-2022-220000000000−22
χ362-2220-2-22-20000000000−222-2220-2-22-20000000000−222-2220-2-22-20000000000−222-2220-2-22-20000000000−22-22-2-2022-2200000000002−2-22-2-2022-2200000000002−2
χ3744-2-24-2-211-2-2110000000044-2-24-2-211-2-2110000000044-2-24-2-211-2-2110000000044-2-24-2-211-2-21100000000-4-422-422-1-122-1-100000000-4-422-422-1-122-1-100000000
χ3844-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-10000000044-2-2-4-2-21122-1-100000000-4-422422-1-1-2-21100000000-4-422422-1-1-2-21100000000
χ394-44-20-42-220000000000004-44-20-42-220000000000004-44-20-42-220000000000004-44-20-42-22000000000000-44-4204-22-2000000000000-44-4204-22-2000000000000
χ404-4-2402-4-220000000000004-4-2402-4-220000000000004-4-2402-4-220000000000004-4-2402-4-22000000000000-442-40-242-2000000000000-442-40-242-2000000000000
χ414-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i000000004-4-2-20221-1003i−3i00000000-44220-2-2-1100−3i3i00000000-44220-2-2-1100−3i3i00000000
χ424-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i000000004-4-2-20221-100−3i3i00000000-44220-2-2-11003i−3i00000000-44220-2-2-11003i−3i00000000
χ43111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ4411111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111iiiiiiiiiiiiii−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−iiiii
χ451111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111iiiiiiiiiiiii−ii−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−iii−i−iii
χ461111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1iiiiiiiiiiiii−i−i−i−i−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i
χ472222-22222-2-2-2-200000000-2-2-2-22-2-2-2-22222000000002222-22222-2-2-2-200000000-2-2-2-22-2-2-2-22222000000002i2i2i2i−2i2i2i2i2i−2i−2i−2i−2i00000000−2i−2i−2i−2i2i−2i−2i−2i−2i2i2i2i2i00000000
χ48222-122-1-1-12-1-1-10200-1-100-2-2-21-2-2111-21110-2001100222-122-1-1-12-1-1-10200-1-100-2-2-21-2-2111-21110-20011002i2i2i−i2i2i−i−i−i2i−i−i−i02i00−i−i00−2i−2i−2ii−2i−2iiii−2iiii0−2i00ii00
χ49222-122-1-1-12-1-1-10-2001100-2-2-21-2-2111-21110200-1-100222-122-1-1-12-1-1-10-2001100-2-2-21-2-2111-21110200-1-1002i2i2i−i2i2i−i−i−i2i−i−i−i0−2i00ii00−2i−2i−2ii−2i−2iiii−2iiii02i00−i−i00
χ50222-1-22-1-1-1-21110000−i3i300-2-2-212-21112-1-1-10000i3−i300222-1-22-1-1-1-21110000−i3i300-2-2-212-21112-1-1-10000i3−i3002i2i2i−i−2i2i−i−i−i−2iiii00003−300−2i−2i−2ii2i−2iiii2i−i−i−i0000−3300
χ51222-1-22-1-1-1-21110000i3−i300-2-2-212-21112-1-1-10000−i3i300222-1-22-1-1-1-21110000i3−i300-2-2-212-21112-1-1-10000−i3i3002i2i2i−i−2i2i−i−i−i−2iiii0000−3300−2i−2i−2ii2i−2iiii2i−i−i−i00003−300
χ5222-122-12-1-1-12-1-120-1-10000-2-21-2-21-2111-211-2011000022-122-12-1-1-12-1-120-1-10000-2-21-2-21-2111-211-201100002i2i−i2i2i−i2i−i−i−i2i−i−i2i0−i−i0000−2i−2ii−2i−2ii−2iiii−2iii−2i0ii0000
χ5322-122-12-1-1-12-1-1-20110000-2-21-2-21-2111-21120-1-1000022-122-12-1-1-12-1-1-20110000-2-21-2-21-2111-21120-1-100002i2i−i2i2i−i2i−i−i−i2i−i−i−2i0ii0000−2i−2ii−2i−2ii−2iiii−2iii2i0−i−i0000
χ5422-12-2-12-1-11-21100−i3i30000-2-21-221-211-12-1-100i3−i3000022-12-2-12-1-11-21100−i3i30000-2-21-221-211-12-1-100i3−i300002i2i−i2i−2i−i2i−i−ii−2iii003−30000−2i−2ii−2i2ii−2iii−i2i−i−i00−330000
χ5522-12-2-12-1-11-21100i3−i30000-2-21-221-211-12-1-100−i3i3000022-12-2-12-1-11-21100i3−i30000-2-21-221-211-12-1-100−i3i300002i2i−i2i−2i−i2i−i−ii−2iii00−330000−2i−2ii−2i2ii−2iii−i2i−i−i003−30000
χ562-2220-2-22-200000000002−2-22-2-2022-220000000000−222-2220-2-22-200000000002−2-22-2-2022-220000000000−222i−2i2i2i0−2i−2i2i−2i0000000000i2−i2−2i2i−2i−2i02i2i−2i2i0000000000−i2i2
χ572-2220-2-22-20000000000−22-22-2-2022-2200000000002−22-2220-2-22-20000000000−22-22-2-2022-2200000000002−22i−2i2i2i0−2i−2i2i−2i0000000000−i2i2−2i2i−2i−2i02i2i−2i2i0000000000i2−i2
χ5844-2-24-2-211-2-21100000000-4-422-422-1-122-1-10000000044-2-24-2-211-2-21100000000-4-422-422-1-122-1-1000000004i4i−2i−2i4i−2i−2iii−2i−2iii00000000−4i−4i2i2i−4i2i2i−i−i2i2i−i−i00000000
χ5944-2-2-4-2-21122-1-100000000-4-422422-1-1-2-2110000000044-2-2-4-2-21122-1-100000000-4-422422-1-1-2-211000000004i4i−2i−2i−4i−2i−2iii2i2i−i−i00000000−4i−4i2i2i4i2i2i−i−i−2i−2iii00000000
χ604-44-20-42-22000000000000-44-4204-22-20000000000004-44-20-42-22000000000000-44-4204-22-20000000000004i−4i4i−2i0−4i2i−2i2i000000000000−4i4i−4i2i04i−2i2i−2i000000000000
χ614-4-2402-4-22000000000000-442-40-242-20000000000004-4-2402-4-22000000000000-442-40-242-20000000000004i−4i−2i4i02i−4i−2i2i000000000000−4i4i2i−4i0−2i4i2i−2i000000000000
χ624-4-2-20221-1003i−3i00000000-44220-2-2-1100−3i3i000000004-4-2-20221-1003i−3i00000000-44220-2-2-1100−3i3i000000004i−4i−2i−2i02i2ii−i00-3300000000−4i4i2i2i0−2i−2i−ii003-300000000
χ634-4-2-20221-100−3i3i00000000-44220-2-2-11003i−3i000000004-4-2-20221-100−3i3i00000000-44220-2-2-11003i−3i000000004i−4i−2i−2i02i2ii−i003-300000000−4i4i2i2i0−2i−2i−ii00-3300000000
χ64111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiii
χ6511111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−iiiiiiiiiiiiiiiiiii−iii−i−i−i−i
χ661111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111−i−i−i−i−i−i−i−i−i−i−i−i−ii−iii−i−iiiiiiiiiiiiiiii−ii−i−iii−i−i
χ671111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−iiiiiiiiiiiiii−i−i−i−i−i−iii
χ682222-22222-2-2-2-200000000-2-2-2-22-2-2-2-22222000000002222-22222-2-2-2-200000000-2-2-2-22-2-2-2-2222200000000−2i−2i−2i−2i2i−2i−2i−2i−2i2i2i2i2i000000002i2i2i2i−2i2i2i2i2i−2i−2i−2i−2i00000000
χ69222-122-1-1-12-1-1-10200-1-100-2-2-21-2-2111-21110-2001100222-122-1-1-12-1-1-10200-1-100-2-2-21-2-2111-21110-2001100−2i−2i−2ii−2i−2iiii−2iiii0−2i00ii002i2i2i−i2i2i−i−i−i2i−i−i−i02i00−i−i00
χ70222-122-1-1-12-1-1-10-2001100-2-2-21-2-2111-21110200-1-100222-122-1-1-12-1-1-10-2001100-2-2-21-2-2111-21110200-1-100−2i−2i−2ii−2i−2iiii−2iiii02i00−i−i002i2i2i−i2i2i−i−i−i2i−i−i−i0−2i00ii00
χ71222-1-22-1-1-1-21110000−i3i300-2-2-212-21112-1-1-10000i3−i300222-1-22-1-1-1-21110000−i3i300-2-2-212-21112-1-1-10000i3−i300−2i−2i−2ii2i−2iiii2i−i−i−i0000−33002i2i2i−i−2i2i−i−i−i−2iiii00003−300
χ72222-1-22-1-1-1-21110000i3−i300-2-2-212-21112-1-1-10000−i3i300222-1-22-1-1-1-21110000i3−i300-2-2-212-21112-1-1-10000−i3i300−2i−2i−2ii2i−2iiii2i−i−i−i00003−3002i2i2i−i−2i2i−i−i−i−2iiii0000−3300
χ7322-122-12-1-1-12-1-120-1-10000-2-21-2-21-2111-211-2011000022-122-12-1-1-12-1-120-1-10000-2-21-2-21-2111-211-20110000−2i−2ii−2i−2ii−2iiii−2iii−2i0ii00002i2i−i2i2i−i2i−i−i−i2i−i−i2i0−i−i0000
χ7422-122-12-1-1-12-1-1-20110000-2-21-2-21-2111-21120-1-1000022-122-12-1-1-12-1-1-20110000-2-21-2-21-2111-21120-1-10000−2i−2ii−2i−2ii−2iiii−2iii2i0−i−i00002i2i−i2i2i−i2i−i−i−i2i−i−i−2i0ii0000
χ7522-12-2-12-1-11-21100−i3i30000-2-21-221-211-12-1-100i3−i3000022-12-2-12-1-11-21100−i3i30000-2-21-221-211-12-1-100i3−i30000−2i−2ii−2i2ii−2iii−i2i−i−i00−3300002i2i−i2i−2i−i2i−i−ii−2iii003−30000
χ7622-12-2-12-1-11-21100i3−i30000-2-21-221-211-12-1-100−i3i3000022-12-2-12-1-11-21100i3−i30000-2-21-221-211-12-1-100−i3i30000−2i−2ii−2i2ii−2iii−i2i−i−i003−300002i2i−i2i−2i−i2i−i−ii−2iii00−330000
χ772-2220-2-22-200000000002−2-22-2-2022-220000000000−222-2220-2-22-200000000002−2-22-2-2022-220000000000−22−2i2i−2i−2i02i2i−2i2i0000000000−i2i22i−2i2i2i0−2i−2i2i−2i0000000000i2−i2
χ782-2220-2-22-20000000000−22-22-2-2022-2200000000002−22-2220-2-22-20000000000−22-22-2-2022-2200000000002−2−2i2i−2i−2i02i2i−2i2i0000000000i2−i22i−2i2i2i0−2i−2i2i−2i0000000000−i2i2
χ7944-2-24-2-211-2-21100000000-4-422-422-1-122-1-10000000044-2-24-2-211-2-21100000000-4-422-422-1-122-1-100000000−4i−4i2i2i−4i2i2i−i−i2i2i−i−i000000004i4i−2i−2i4i−2i−2iii−2i−2iii00000000
χ8044-2-2-4-2-21122-1-100000000-4-422422-1-1-2-2110000000044-2-2-4-2-21122-1-100000000-4-422422-1-1-2-21100000000−4i−4i2i2i4i2i2i−i−i−2i−2iii000000004i4i−2i−2i−4i−2i−2iii2i2i−i−i00000000
χ814-44-20-42-22000000000000-44-4204-22-20000000000004-44-20-42-22000000000000-44-4204-22-2000000000000−4i4i−4i2i04i−2i2i−2i0000000000004i−4i4i−2i0−4i2i−2i2i000000000000
χ824-4-2402-4-22000000000000-442-40-242-20000000000004-4-2402-4-22000000000000-442-40-242-2000000000000−4i4i2i−4i0−2i4i2i−2i0000000000004i−4i−2i4i02i−4i−2i2i000000000000
χ834-4-2-20221-1003i−3i00000000-44220-2-2-1100−3i3i000000004-4-2-20221-1003i−3i00000000-44220-2-2-1100−3i3i00000000−4i4i2i2i0−2i−2i−ii003-3000000004i−4i−2i−2i02i2ii−i00-3300000000
χ844-4-2-20221-100−3i3i00000000-44220-2-2-11003i−3i000000004-4-2-20221-100−3i3i00000000-44220-2-2-11003i−3i00000000−4i4i2i2i0−2i−2i−ii00-33000000004i−4i−2i−2i02i2ii−i003-300000000
χ85222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8622222222222222-222-2-2-2-222222222222222-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111000000000000000000000000000000000000000000
χ872222222222222-22-2-222-2-22222222222222-22-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111000000000000000000000000000000000000000000
χ882222222222222-2-2-2-2-2-2222222222222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1000000000000000000000000000000000000000000
χ894444-44444-4-4-4-4000000004444-44444-4-4-4-400000000-2-2-2-22-2-2-2-2222200000000-2-2-2-22-2-2-2-2222200000000000000000000000000000000000000000000000000
χ90444-244-2-2-24-2-2-20400-2-200444-244-2-2-24-2-2-20400-2-200-2-2-21-2-2111-21110-2001100-2-2-21-2-2111-21110-2001100000000000000000000000000000000000000000000
χ91444-244-2-2-24-2-2-20-4002200444-244-2-2-24-2-2-20-4002200-2-2-21-2-2111-21110200-1-100-2-2-21-2-2111-21110200-1-100000000000000000000000000000000000000000000
χ92444-2-44-2-2-2-42220000−2i32i300444-2-44-2-2-2-42220000−2i32i300-2-2-212-21112-1-1-10000i3−i300-2-2-212-21112-1-1-10000i3−i300000000000000000000000000000000000000000000
χ93444-2-44-2-2-2-422200002i3−2i300444-2-44-2-2-2-422200002i3−2i300-2-2-212-21112-1-1-10000−i3i300-2-2-212-21112-1-1-10000−i3i300000000000000000000000000000000000000000000
χ9444-244-24-2-2-24-2-240-2-2000044-244-24-2-2-24-2-240-2-20000-2-21-2-21-2111-211-20110000-2-21-2-21-2111-211-20110000000000000000000000000000000000000000000000
χ9544-244-24-2-2-24-2-2-4022000044-244-24-2-2-24-2-2-40220000-2-21-2-21-2111-21120-1-10000-2-21-2-21-2111-21120-1-10000000000000000000000000000000000000000000000
χ9644-24-4-24-2-22-42200−2i32i3000044-24-4-24-2-22-42200−2i32i30000-2-21-221-211-12-1-100i3−i30000-2-21-221-211-12-1-100i3−i30000000000000000000000000000000000000000000000
χ9744-24-4-24-2-22-422002i3−2i3000044-24-4-24-2-22-422002i3−2i30000-2-21-221-211-12-1-100−i3i30000-2-21-221-211-12-1-100−i3i30000000000000000000000000000000000000000000000
χ984-4440-4-44-4000000000022−224-4440-4-44-4000000000022−22-22-2-2022-220000000000−22-22-2-2022-220000000000−22000000000000000000000000000000000000000000
χ994-4440-4-44-40000000000−22224-4440-4-44-40000000000−2222-22-2-2022-2200000000002−2-22-2-2022-2200000000002−2000000000000000000000000000000000000000000
χ10088-4-48-4-422-4-4220000000088-4-48-4-422-4-42200000000-4-422-422-1-122-1-100000000-4-422-422-1-122-1-100000000000000000000000000000000000000000000000000
χ10188-4-4-8-4-42244-2-20000000088-4-4-8-4-42244-2-200000000-4-422422-1-1-2-21100000000-4-422422-1-1-2-21100000000000000000000000000000000000000000000000000
χ1028-88-40-84-440000000000008-88-40-84-44000000000000-44-4204-22-2000000000000-44-4204-22-2000000000000000000000000000000000000000000000000000000
χ1038-8-4804-8-440000000000008-8-4804-8-44000000000000-442-40-242-2000000000000-442-40-242-2000000000000000000000000000000000000000000000000000000
χ1048-8-4-40442-2006i−6i000000008-8-4-40442-2006i−6i00000000-44220-2-2-1100−3i3i00000000-44220-2-2-1100−3i3i00000000000000000000000000000000000000000000000000
χ1058-8-4-40442-200−6i6i000000008-8-4-40442-200−6i6i00000000-44220-2-2-11003i−3i00000000-44220-2-2-11003i−3i00000000000000000000000000000000000000000000000000
χ106222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111000000000000000000000000000000000000000000
χ10722222222222222-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111-111-1-1-1-1000000000000000000000000000000000000000000
χ1082222222222222-22-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111111111111-11-1-111-1-1000000000000000000000000000000000000000000
χ1092222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-1-1-1-111000000000000000000000000000000000000000000
χ1104444-44444-4-4-4-400000000-4-4-4-44-4-4-4-4444400000000-2-2-2-22-2-2-2-22222000000002222-22222-2-2-2-200000000000000000000000000000000000000000000000000
χ111444-244-2-2-24-2-2-20400-2-200-4-4-42-4-4222-42220-4002200-2-2-21-2-2111-21110-2001100222-122-1-1-12-1-1-10200-1-100000000000000000000000000000000000000000000
χ112444-244-2-2-24-2-2-20-4002200-4-4-42-4-4222-42220400-2-200-2-2-21-2-2111-21110200-1-100222-122-1-1-12-1-1-10-2001100000000000000000000000000000000000000000000
χ113444-2-44-2-2-2-42220000−2i32i300-4-4-424-42224-2-2-200002i3−2i300-2-2-212-21112-1-1-10000i3−i300222-1-22-1-1-1-21110000−i3i300000000000000000000000000000000000000000000
χ114444-2-44-2-2-2-422200002i3−2i300-4-4-424-42224-2-2-20000−2i32i300-2-2-212-21112-1-1-10000−i3i300222-1-22-1-1-1-21110000i3−i300000000000000000000000000000000000000000000
χ11544-244-24-2-2-24-2-240-2-20000-4-42-4-42-4222-422-40220000-2-21-2-21-2111-211-2011000022-122-12-1-1-12-1-120-1-10000000000000000000000000000000000000000000000
χ11644-244-24-2-2-24-2-2-40220000-4-42-4-42-4222-42240-2-20000-2-21-2-21-2111-21120-1-1000022-122-12-1-1-12-1-1-20110000000000000000000000000000000000000000000000
χ11744-24-4-24-2-22-42200−2i32i30000-4-42-442-422-24-2-2002i3−2i30000-2-21-221-211-12-1-100i3−i3000022-12-2-12-1-11-21100−i3i30000000000000000000000000000000000000000000000
χ11844-24-4-24-2-22-422002i3−2i30000-4-42-442-422-24-2-200−2i32i30000-2-21-221-211-12-1-100−i3i3000022-12-2-12-1-11-21100i3−i30000000000000000000000000000000000000000000000
χ1194-4440-4-44-4000000000022−22-44-4-4044-440000000000−2222-22-2-2022-220000000000−222-2220-2-22-200000000002−2000000000000000000000000000000000000000000
χ1204-4440-4-44-40000000000−2222-44-4-4044-44000000000022−22-22-2-2022-2200000000002−22-2220-2-22-20000000000−22000000000000000000000000000000000000000000
χ12188-4-48-4-422-4-42200000000-8-844-844-2-244-2-200000000-4-422-422-1-122-1-10000000044-2-24-2-211-2-21100000000000000000000000000000000000000000000000000
χ12288-4-4-8-4-42244-2-200000000-8-844844-2-2-4-42200000000-4-422422-1-1-2-2110000000044-2-2-4-2-21122-1-100000000000000000000000000000000000000000000000000
χ1238-88-40-84-44000000000000-88-8408-44-4000000000000-44-4204-22-20000000000004-44-20-42-22000000000000000000000000000000000000000000000000000000
χ1248-8-4804-8-44000000000000-884-80-484-4000000000000-442-40-242-20000000000004-4-2402-4-22000000000000000000000000000000000000000000000000000000
χ1258-8-4-40442-2006i−6i00000000-88440-4-4-2200−6i6i00000000-44220-2-2-1100−3i3i000000004-4-2-20221-1003i−3i00000000000000000000000000000000000000000000000000
χ1268-8-4-40442-200−6i6i00000000-88440-4-4-22006i−6i00000000-44220-2-2-11003i−3i000000004-4-2-20221-100−3i3i00000000000000000000000000000000000000000000000000

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