Finite Group Databasebeta

← Group #10687283

Character table — Group #10687283

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424448888121212121212121224242424242424244444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ91-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-11-111-1-1ii−i−ii−i
χ101-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-11-1-111−i−iii−ii
χ111-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-11-111-1-1−i−iii−ii
χ121-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-11-1-111ii−i−ii−i
χ131-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−iii-1-1-1-11111−i−i−i−iiiii11-1-11-1-1-111ii−i−i−ii
χ141-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−iii-1-1-1-11111−i−i−i−iiiii-1-111-1111-1-1−i−iiii−i
χ151-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-11-1-1-111−i−iiii−i
χ161-1-1-111-11111-111-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11ii−i−i-1-1-1-11111iiii−i−i−i−i-1-111-1111-1-1ii−i−i−ii
χ17222222222222-2-2-22-2222222222222222-20000-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ18222222222222-2-2-22-2222222222222222-20000-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-22222-20000000022-2-222-2-20000000000000000-2-2000022-2-222-2-2000000000000000000000000
χ20222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-20000000000000000220000-2-222-2-222000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-220000200000000-2-222-2-222000000000000000000000000000000000000000000002-22-2000000
χ22222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-220000200000000-2-222-2-22200000000000000000000000000000000000000000000-22-22000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-22222-200000000-1-111-1-1113333−3−3−3−33333−3−3−3−3-2-20000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-22222-200000000-1-111-1-111−3−3−3−33333−3−3−3−33333-2-20000-1-111-1-111−3−333−3−3330000000000000000
χ2922222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-2-2-2-2-200000000-1-111-1-1113333−3−3−3−33333−3−3−3−322000011-1-111-1-1−3−333−3−3330000000000000000
χ3022222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-2-2-2-2-200000000-1-111-1-111−3−3−3−33333−3−3−3−3333322000011-1-111-1-133−3−333−3−30000000000000000
χ31222-22-2-2-222-22000-2022-2-22-2-222-2-222-2-200000022−2−222−2−20000000022−2−222−2−222−2−222−2−200000000000000000000002-22-20000002−22−200
χ32222-22-2-2-222-22000-2022-2-22-2-222-2-222-2-200000022−2−222−2−20000000022−2−222−2−222−2−222−2−20000000000000000000000-22-22000000−22−2200
χ33222-22-2-2-222-22000-2022-2-22-2-222-2-222-2-2000000−2−222−2−22200000000−2−222−2−222−2−222−2−22200000000000000000000002-22-2000000−22−2200
χ34222-22-2-2-222-22000-2022-2-22-2-222-2-222-2-2000000−2−222−2−22200000000−2−222−2−222−2−222−2−2220000000000000000000000-22-220000002−22−200
χ3522-22-2-2-2220002-2-2022-22-2-22-20000000002i−2i2i−2i0−i2i2−i2i2−i2i2−i2i22-2002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002−22−22i−2i002i−2i002−22−22−22−20000000000000000
χ3622-22-2-2-2220002-2-2022-22-2-22-20000000002i−2i2i−2i0i2−i2i2−i2i2−i2i2−i22-2002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−22−222i−2i002i−2i00−22−22−22−220000000000000000
χ3722-22-2-2-2220002-2-2022-22-2-22-2000000000−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i22-2002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−22−22−2i2i00−2i2i00−22−22−22−220000000000000000
χ3822-22-2-2-2220002-2-2022-22-2-22-2000000000−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i22-2002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002−22−2−2i2i00−2i2i002−22−22−22−20000000000000000
χ3922-22-2-2-22-10002-2-202-11-111-113−33−33−33−302i−2i2i−2i0−i2i2−i2i2−i2i2−i2i2-113−3-113−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23002−22−2−ii−i3i3−ii−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ4022-22-2-2-22-10002-2-202-11-111-113−33−33−33−302i−2i2i−2i0i2−i2i2−i2i2−i2i2−i2-113−3-113−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300−22−22−ii−i3i3−ii−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ4122-22-2-2-22-10002-2-202-11-111-113−33−33−33−30−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i2-113−3-113−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300−22−22i−ii3−i3i−ii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ4222-22-2-2-22-10002-2-202-11-111-113−33−33−33−30−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i2-113−3-113−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23002−22−2i−ii3−i3i−ii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ4322-22-2-2-22-10002-2-202-11-111-11−33−33−33−3302i−2i2i−2i0−i2i2−i2i2−i2i2−i2i2-11−33-11−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7002−22−2−iii3−i3−iii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ4422-22-2-2-22-10002-2-202-11-111-11−33−33−33−3302i−2i2i−2i0i2−i2i2−i2i2−i2i2−i2-11−33-11−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700−22−22−iii3−i3−iii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ4522-22-2-2-22-10002-2-202-11-111-11−33−33−33−330−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i2-11−33-11−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700−22−22i−i−i3i3i−i−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ4622-22-2-2-22-10002-2-202-11-111-11−33−33−33−330−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i2-11−33-11−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7002−22−2i−i−i3i3i−i−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ472-22-2-2-22220002-220-2-22-22-22-20000000002i−2i−2i2i02−22−2−22−222-200-22002−22−22−22−2−22−22−22−2200i2−i2−i2i22i−2i00−2i2i00i2−i2i2−i2−i2i2−i2i20000000000000000
χ482-22-2-2-22220002-220-2-22-22-22-20000000002i−2i−2i2i0−22−222−22−22-200-2200−22−22−22−222−22−22−22−200−i2i2i2−i22i−2i00−2i2i00−i2i2−i2i2i2−i2i2−i20000000000000000
χ492-22-2-2-22220002-220-2-22-22-22-2000000000−2i2i2i−2i02−22−2−22−222-200-22002−22−22−22−2−22−22−22−2200−i2i2i2−i2−2i2i002i−2i00−i2i2−i2i2i2−i2i2−i20000000000000000
χ502-22-2-2-22220002-220-2-22-22-22-2000000000−2i2i2i−2i0−22−222−22−22-200-2200−22−22−22−222−22−22−22−200i2−i2−i2i2−2i2i002i−2i00i2−i2i2−i2−i2i2−i2i20000000000000000
χ512-22-2-2-222-10002-220-21-11-11-113−33−3−33−3302i−2i−2i2i02−22−2−22−22-113−31-1−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700i2−i2−i2i2−ii−i3i3i−ii3−i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ522-22-2-2-222-10002-220-21-11-11-113−33−3−33−3302i−2i−2i2i0−22−222−22−2-113−31-1−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700−i2i2i2−i2−ii−i3i3i−ii3−i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ532-22-2-2-222-10002-220-21-11-11-113−33−3−33−330−2i2i2i−2i02−22−2−22−22-113−31-1−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700−i2i2i2−i2i−ii3−i3−ii−i3i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ542-22-2-2-222-10002-220-21-11-11-113−33−3−33−330−2i2i2i−2i0−22−222−22−2-113−31-1−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700i2−i2−i2i2i−ii3−i3−ii−i3i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ552-22-2-2-222-10002-220-21-11-11-11−33−333−33−302i−2i−2i2i02−22−2−22−22-11−331-13−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300i2−i2−i2i2−iii3−i3i−i−i3i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ562-22-2-2-222-10002-220-21-11-11-11−33−333−33−302i−2i−2i2i0−22−222−22−2-11−331-13−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300−i2i2i2−i2−iii3−i3i−i−i3i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ572-22-2-2-222-10002-220-21-11-11-11−33−333−33−30−2i2i2i−2i02−22−2−22−22-11−331-13−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300−i2i2i2−i2i−i−i3i3−iii3−i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ582-22-2-2-222-10002-220-21-11-11-11−33−333−33−30−2i2i2i−2i0−22−222−22−2-11−331-13−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300i2−i2−i2i2i−i−i3i3−iii3−i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ592-2-222-22-222-2-200020-2-2222-2-222-2-2-2-222000000−i2−i2i2i2i2i2−i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000002-2-22000000−i2i2i2−i200
χ602-2-222-22-222-2-200020-2-2222-2-222-2-2-2-222000000−i2−i2i2i2i2i2−i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000-222-2000000i2−i2−i2i200
χ612-2-222-22-222-2-200020-2-2222-2-222-2-2-2-222000000i2i2−i2−i2−i2−i2i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000002-2-22000000i2−i2−i2i200
χ622-2-222-22-222-2-200020-2-2222-2-222-2-2-2-222000000i2i2−i2−i2−i2−i2i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000-222-2000000−i2i2i2−i200
χ632-2-2-222-22222-2-2-22-22-2-2-2-22222222-2-2-2-2-20000200000000-2-2-2-222220000000000000000000000000000000000000022-2-2-220000000000
χ642-2-2-222-22222-2-2-22-22-2-2-2-22222222-2-2-2-2-20000200000000-2-2-2-2222200000000000000000000000000000000000000-2-2222-20000000000
χ652-2-2-222-222-2-2222-22-2-2-2-2-2222-2-2-2-22222-222-2-220000000022-2-2-2-2220000000000000000-22000022-2-2-2-222000000000000000000000000
χ662-2-2-222-222-2-2222-22-2-2-2-2-2222-2-2-2-22222-2-2-22220000000022-2-2-2-22200000000000000002-20000-2-22222-2-2000000000000000000000000
χ672-2-2-222-222-2-22-2-2222-2-2-2-2222-2-2-2-2222220000-200000000-2-22222-2-2000000000000000000000000000000000000000000002-2-22000000
χ682-2-2-222-222-2-22-2-2222-2-2-2-2222-2-2-2-2222220000-200000000-2-22222-2-200000000000000000000000000000000000000000000-222-2000000
χ692-2-2-222-22-122-222-2-2-21111-1-1-1-1-1-1-11111222-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii0000000000000000
χ702-2-2-222-22-122-222-2-2-21111-1-1-1-1-1-1-11111222-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i0000000000000000
χ712-2-2-222-22-122-222-2-2-21111-1-1-1-1-1-1-111112-2-222-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-22−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i0000000000000000
χ722-2-2-222-22-122-222-2-2-21111-1-1-1-1-1-1-111112-2-222-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii0000000000000000
χ732-2-2-222-22-1-2-2222-22-21111-1-1-11111-1-1-1-1-222-2-2200000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-220000-1-11111-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ742-2-2-222-22-1-2-2222-22-21111-1-1-11111-1-1-1-1-222-2-2200000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-220000-1-11111-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ752-2-2-222-22-1-2-2222-22-21111-1-1-11111-1-1-1-1-2-2-222200000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-2000011-1-1-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ762-2-2-222-22-1-2-2222-22-21111-1-1-11111-1-1-1-1-2-2-222200000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32-2000011-1-1-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ7744444444-2444-4-4-44-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-40000-40000000022222222000000000000000000000000000000000000000000000000000000
χ7844444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2222222224000040000000022-2-222-2-2000000000000000000000000000000000000000000000000000000
χ79444-44-4-4-44-44-40004044-4-44-4-4-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ80444-44-4-4-4-24-44000-40-2-222-222-2-222-2-2220000002222−22−222222−22−2200000000−2−222−2−222−2−222−2−22200000000000000000000000000000000000000
χ81444-44-4-4-4-24-44000-40-2-222-222-2-222-2-222000000−22−222222−22−2222220000000022−2−222−2−222−2−222−2−200000000000000000000000000000000000000
χ82444-44-4-4-4-2-44-400040-2-222-22222-2-222-2-2000000000000000000000066−6−6−6−66666−6−6−6−66600000000000000000000000000000000000000
χ83444-44-4-4-4-2-44-400040-2-222-22222-2-222-2-20000000000000000000000−6−66666−6−6−6−66666−6−600000000000000000000000000000000000000
χ8444-44-4-4-444000-4440-44-44-4-44-40000000000000000000000-4400-4400000000000000000000000000000000000000000000000000000000
χ8544-44-4-4-44-2000-4440-4-22-222-2223−2323−2323−2323−23000000000000002-2−23232-2−2323000000000000000000000000000000000000000000000000000000
χ8644-44-4-4-44-2000-4440-4-22-222-22−2323−2323−2323−2323000000000000002-223−232-223−23000000000000000000000000000000000000000000000000000000
χ8744-4-4-444-44000000004-4-44-4-44000000000000002i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000
χ8844-4-4-444-44000000004-4-44-4-4400000000000000−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000
χ8944-4-4-444-4-200000000-222-222-223−23−232323−23−23230000002i−2i−2i2i2i−2i−2i2i00000000−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000000000000000000000000000
χ9044-4-4-444-4-200000000-222-222-223−23−232323−23−2323000000−2i2i2i−2i−2i2i2i−2i00000000ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000000000000000000000000000
χ9144-4-4-444-4-200000000-222-222-2−232323−23−232323−230000002i−2i−2i2i2i−2i−2i2i00000000ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000000000000000000000000000
χ9244-4-4-444-4-200000000-222-222-2−232323−23−232323−23000000−2i2i2i−2i−2i2i2i−2i00000000−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000000000000000000000000000
χ934-444-44-4-4400000000-444-4-4-44000000000000002-2-22-222-2000000002-2-222-2-22-222-2-222-200000000000000000000000000000000000000
χ944-444-44-4-4400000000-444-4-4-4400000000000000-222-22-2-2200000000-222-2-222-22-2-222-2-2200000000000000000000000000000000000000
χ954-444-44-4-4-2000000002-2-2222-223−23−2323−232323−230000002-2-22-222-200000000−1−31+31+3−1−3−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000000000000000000000
χ964-444-44-4-4-2000000002-2-2222-223−23−2323−232323−23000000-222-22-2-22000000001+3−1−3−1−31+31−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000000000000000000000
χ974-444-44-4-4-2000000002-2-2222-2−232323−2323−23−23230000002-2-22-222-200000000−1+31−31−3−1+3−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000000000000000000000
χ984-444-44-4-4-2000000002-2-2222-2−232323−2323−23−2323000000-222-22-2-22000000001−3−1+3−1+31−31+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000000000000000000000
χ994-44-4-4-4444000-44-404-44-44-44-40000000000000000000000-44004-400000000000000000000000000000000000000000000000000000000
χ1004-44-4-4-444-2000-44-4042-22-22-2223−2323−23−2323−2323000000000000002-2−2323-2223−23000000000000000000000000000000000000000000000000000000
χ1014-44-4-4-444-2000-44-4042-22-22-22−2323−232323−2323−23000000000000002-223−23-22−2323000000000000000000000000000000000000000000000000000000
χ1024-4-444-44-44-444000-40-4-4444-4-4-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-44-4-24-4-40004022-2-2-222-2-22222-2-2000000−2i2−2i22i22i22i22i2−2i2−2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ1044-4-444-44-4-24-4-40004022-2-2-222-2-22222-2-20000002i22i2−2i2−2i2−2i2−2i22i22i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ1054-4-444-44-4-2-444000-4022-2-2-22222-2-2-2-2220000000000000000000000i6i6−i6−i6−i6−i6i6i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000000000
χ1064-4-444-44-4-2-444000-4022-2-2-22222-2-2-2-2220000000000000000000000−i6−i6i6i6i6i6−i6−i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ1074-4-4-444-44-244-4-4-44-442222-2-2-2-2-2-2-22222-400004000000002222-2-2-2-2000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-4-44-4-44442222-2-2-22222-2-2-2-240000-40000000022-2-2-2-222000000000000000000000000000000000000000000000000000000

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