Finite Group Databasebeta

← Group #10855274

Character table — Group #10855274

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424448888121212121212121224242424242424244444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ611111111111111111111111111111111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ91111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-11
χ101111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11-1
χ111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1
χ121111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ131111111111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111-1
χ141111111111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ151111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-11
χ161111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1111-1
χ17222222222-22222-2-2-22222222-2-2-2-2-2-2-2-222-2-222000000002222-2-2-2-20000000000000000-2-2000022-2-222-2-2000000000000000000000000
χ18222222222-22222-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000220000-2-222-2-222000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-200000000-2-2-2-222220000000000000000-22000022-2-2-2-222000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-2222200000000000000002-20000-2-22222-2-2000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-22-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-11111111122-2-22200000000-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-20000-1-111-1-11133−3−333−3−30000000000000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-11111111122-2-22200000000-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-20000-1-111-1-111−3−333−3−3330000000000000000
χ3122222222-1-22222-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−322000011-1-111-1-1−3−333−3−3330000000000000000
χ3222222222-1-22222-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−3333322000011-1-111-1-133−3−333−3−30000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333-220000-1-11111-1-1−3−33333−3−30000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3-220000-1-11111-1-133−3−3−3−3330000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222000000001111-1-1-1-13333−3−3−3−3−3−3−3−333332-2000011-1-1-1-11133−3−3−3−3330000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222000000001111-1-1-1-1−3−3−3−333333333−3−3−3−32-2000011-1-1-1-111−3−33333−3−30000000000000000
χ3722-22-2-22-22-200002-22222-2-2-2-2-2-222-2-2220000002i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000022-2-2000000002i−2i00
χ3822-22-2-22-22-200002-22222-2-2-2-2-2-222-2-2220000002i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-2-22200000000−2i2i00
χ3922-22-2-22-22-200002-22222-2-2-2-2-2-222-2-222000000−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000022-2-200000000−2i2i00
χ4022-22-2-22-22-200002-22222-2-2-2-2-2-222-2-222000000−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-2-222000000002i−2i00
χ4122-2-22-2-222022-2-20002-2-22-22-2000000002i−2i002i−2i−i2i2−i2i2−i2−i2i2i222-2-20000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2002−22−22i−2i002i−2i002−22−22−22−20000000000000000
χ4222-2-22-2-222022-2-20002-2-22-22-2000000002i−2i002i−2ii2−i2i2−i2i2i2−i2−i222-2-20000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200−22−222i−2i002i−2i00−22−22−22−220000000000000000
χ4322-2-22-2-222022-2-20002-2-22-22-200000000−2i2i00−2i2i−i2i2−i2i2−i2−i2i2i222-2-20000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200−22−22−2i2i00−2i2i00−22−22−22−220000000000000000
χ4422-2-22-2-222022-2-20002-2-22-22-200000000−2i2i00−2i2ii2−i2i2−i2i2i2−i2−i222-2-20000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2002−22−2−2i2i00−2i2i002−22−22−22−20000000000000000
χ4522-2-22-2-2220-2-2220002-2-22-22-2000000002i−2i00−2i2i−i2i2−i2i2i2i2−i2−i2-2-2220000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i200−222−22i−2i00−2i2i00−22−222−22−20000000000000000
χ4622-2-22-2-2220-2-2220002-2-22-22-2000000002i−2i00−2i2ii2−i2i2−i2−i2−i2i2i2-2-2220000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2002−2−222i−2i00−2i2i002−22−2−22−220000000000000000
χ4722-2-22-2-2220-2-2220002-2-22-22-200000000−2i2i002i−2i−i2i2−i2i2i2i2−i2−i2-2-2220000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2002−2−22−2i2i002i−2i002−22−2−22−220000000000000000
χ4822-2-22-2-2220-2-2220002-2-22-22-200000000−2i2i002i−2ii2−i2i2−i2−i2−i2i2i2-2-2220000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i200−222−2−2i2i002i−2i00−22−222−22−20000000000000000
χ4922-2-22-2-22-1022-2-2000-111-11-113−33−33−33−32i−2i002i−2i−i2i2−i2i2−i2−i2i2i2-1-11133−3−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002−22−2−ii−i3i3−ii−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ5022-2-22-2-22-1022-2-2000-111-11-113−33−33−33−32i−2i002i−2ii2−i2i2−i2i2i2−i2−i2-1-11133−3−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−22−22−ii−i3i3−ii−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ5122-2-22-2-22-1022-2-2000-111-11-113−33−33−33−3−2i2i00−2i2i−i2i2−i2i2−i2−i2i2i2-1-11133−3−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−22−22i−ii3−i3i−ii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ5222-2-22-2-22-1022-2-2000-111-11-113−33−33−33−3−2i2i00−2i2ii2−i2i2−i2i2i2−i2−i2-1-11133−3−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002−22−2i−ii3−i3i−ii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ5322-2-22-2-22-1022-2-2000-111-11-11−33−33−33−332i−2i002i−2i−i2i2−i2i2−i2−i2i2i2-1-111−3−333ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002−22−2−iii3−i3−iii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ5422-2-22-2-22-1022-2-2000-111-11-11−33−33−33−332i−2i002i−2ii2−i2i2−i2i2i2−i2−i2-1-111−3−333−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−22−22−iii3−i3−iii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ5522-2-22-2-22-1022-2-2000-111-11-11−33−33−33−33−2i2i00−2i2i−i2i2−i2i2−i2−i2i2i2-1-111−3−333ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−22−22i−i−i3i3i−i−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ5622-2-22-2-22-1022-2-2000-111-11-11−33−33−33−33−2i2i00−2i2ii2−i2i2−i2i2i2−i2−i2-1-111−3−333−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002−22−2i−i−i3i3i−i−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ5722-2-22-2-22-10-2-222000-111-11-113−33−33−33−32i−2i00−2i2i−i2i2−i2i2i2i2−i2−i211-1-1−3−333ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−222−2−ii−i3i3i−ii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ5822-2-22-2-22-10-2-222000-111-11-113−33−33−33−32i−2i00−2i2ii2−i2i2−i2−i2−i2i2i211-1-1−3−333−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002−2−22−ii−i3i3i−ii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ5922-2-22-2-22-10-2-222000-111-11-113−33−33−33−3−2i2i002i−2i−i2i2−i2i2i2i2−i2−i211-1-1−3−333ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002−2−22i−ii3−i3−ii−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ6022-2-22-2-22-10-2-222000-111-11-113−33−33−33−3−2i2i002i−2ii2−i2i2−i2−i2−i2i2i211-1-1−3−333−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−222−2i−ii3−i3−ii−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ6122-2-22-2-22-10-2-222000-111-11-11−33−33−33−332i−2i00−2i2i−i2i2−i2i2i2i2−i2−i211-1-133−3−3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−222−2−iii3−i3i−i−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ6222-2-22-2-22-10-2-222000-111-11-11−33−33−33−332i−2i00−2i2ii2−i2i2−i2−i2−i2i2i211-1-133−3−3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002−2−22−iii3−i3i−i−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ6322-2-22-2-22-10-2-222000-111-11-11−33−33−33−33−2i2i002i−2i−i2i2−i2i2i2i2−i2−i211-1-133−3−3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002−2−22i−i−i3i3−iii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ6422-2-22-2-22-10-2-222000-111-11-11−33−33−33−33−2i2i002i−2ii2−i2i2−i2−i2−i2i2i211-1-133−3−3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−222−2i−i−i3i3−iii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ652-22-22-22-2222i−2i2i−2i-2-22-2-2222-2-222-2-2-2-222002i−2i00000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000002-22-200002i−2i000000
χ662-22-22-22-2222i−2i2i−2i-2-22-2-2222-2-222-2-2-2-222002i−2i00000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000-22-220000−2i2i000000
χ672-22-22-22-222−2i2i−2i2i-2-22-2-2222-2-222-2-2-2-22200−2i2i0000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000002-22-20000−2i2i000000
χ682-22-22-22-222−2i2i−2i2i-2-22-2-2222-2-222-2-2-2-22200−2i2i0000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000-22-2200002i−2i000000
χ692-22-22-22-22-22i−2i2i−2i22-2-2-2222-2-2-2-22222-2-200−2i2i00000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000002-2002i−2i0000
χ702-22-22-22-22-22i−2i2i−2i22-2-2-2222-2-2-2-22222-2-200−2i2i00000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000-2200−2i2i0000
χ712-22-22-22-22-2−2i2i−2i2i22-2-2-2222-2-2-2-22222-2-2002i−2i0000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000002-200−2i2i0000
χ722-22-22-22-22-2−2i2i−2i2i22-2-2-2222-2-2-2-22222-2-2002i−2i0000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000-22002i−2i0000
χ732-2-2-2-22222-20000-222-2-22-2-222-2-2-2-2222200000000002-22-200000000000000002-22-22-22-200000000000000000000002-2-222-20000000000
χ742-2-2-2-22222-20000-222-2-22-2-222-2-2-2-2222200000000002-22-200000000000000002-22-22-22-20000000000000000000000-222-2-220000000000
χ752-2-2-2-22222-20000-222-2-22-2-222-2-2-2-222220000000000-22-220000000000000000-22-22-22-2200000000000000000000002-2-22-220000000000
χ762-2-2-2-22222-20000-222-2-22-2-222-2-2-2-222220000000000-22-220000000000000000-22-22-22-220000000000000000000000-222-22-20000000000
χ77444-4-44-4-44000000004-4-4-44-440000000000000022−22−222200000000000022−22−222222−22−22220000000000000000000000000000000000000000000000
χ78444-4-44-4-44000000004-4-4-44-4400000000000000−222222−22000000000000−222222−22−222222−220000000000000000000000000000000000000000000000
χ79444-4-44-4-4-200000000-2222-22-223−23−232323−23−232300000022−22−22220000000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000000000
χ80444-4-44-4-4-200000000-2222-22-223−23−232323−23−2323000000−222222−22000000000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000000000
χ81444-4-44-4-4-200000000-2222-22-2−232323−23−232323−2300000022−22−22220000000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000000000
χ82444-4-44-4-4-200000000-2222-22-2−232323−23−232323−23000000−222222−22000000000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000000000
χ8344-44-4-44-4440000-44-4444-4-4-4-444-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ8444-44-4-44-4-240000-44-4-2-2-22222-2-222-2-2220000000000000000000000−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000000000000000
χ8544-44-4-44-4-240000-44-4-2-2-22222-2-222-2-22200000000000000000000002i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000000000000000
χ8644-44-4-44-4-2-400004-44-2-2-2222222-2-222-2-20000004i4i−4i−4i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ8744-44-4-44-4-2-400004-44-2-2-2222222-2-222-2-2000000−4i−4i4i4i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ884-444-4-4-44400000000-44-4-444-4000000000000000000−2i22i22i2−2i20000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ894-444-4-4-44400000000-44-4-444-40000000000000000002i2−2i2−2i22i200000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ904-444-4-4-44-2000000002-222-2-2223−2323−23−2323−23230000000000−2i22i22i2−2i200000000000000002ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000000000000000
χ914-444-4-4-44-2000000002-222-2-2223−2323−23−2323−232300000000002i2−2i2−2i22i20000000000000000−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000000000000000
χ924-444-4-4-44-2000000002-222-2-22−2323−232323−2323−230000000000−2i22i22i2−2i200000000000000002ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000000000000000
χ934-444-4-4-44-2000000002-222-2-22−2323−232323−2323−2300000000002i2−2i2−2i22i20000000000000000−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000000000000000
χ944-44-44-44-4-244i−4i4i−4i-4-4422-2-2-222-2-22222-2-2004i−4i0000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ954-44-44-44-4-24−4i4i−4i4i-4-4422-2-2-222-2-22222-2-200−4i4i00000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ964-44-44-44-4-2-44i−4i4i−4i44-422-2-2-22222-2-2-2-22200−4i4i0000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ974-44-44-44-4-2-4−4i4i−4i4i44-422-2-2-22222-2-2-2-222004i−4i00000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ984-4-4444-4-4404i−4i−4i4i000-44-44-4-4400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ994-4-4444-4-440−4i4i4i−4i000-44-44-4-440000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-204i−4i−4i4i0002-22-222-223−23−2323−232323−2300000000000000−2i2i2i−2i2i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-204i−4i−4i4i0002-22-222-2−232323−2323−23−232300000000000000−2i2i2i−2i−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-20−4i4i4i−4i0002-22-222-223−23−2323−232323−23000000000000002i−2i−2i2i−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-20−4i4i4i−4i0002-22-222-2−232323−2323−23−2323000000000000002i−2i−2i2i2i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-44444400004-4-4-4-44-4-4444444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-4-4444-2400004-4-422-222-2-2-2-2-2-2222200000000000000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000
χ1064-4-4-4-4444-2400004-4-422-222-2-2-2-2-2-22222000000000000000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000
χ1074-4-4-4-4444-2-40000-44422-222-2-22222-2-2-2-200000000004-44-40000000000000000-22-22-22-2200000000000000000000000000000000000000
χ1084-4-4-4-4444-2-40000-44422-222-2-22222-2-2-2-20000000000-44-4400000000000000002-22-22-22-200000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.