Finite Group Databasebeta

← Group #11789110

Character table — Group #11789110

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order1222222233444466666666666666121212121212121236666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444444444888812121212121212122424242424242424441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1
χ91-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−ii−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1ii−i−i11-1-111-1-1i−i
χ101-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−ii−i−i−iii11-1-1iiii−i−i−i−i1111-1-1-1-1-11−i−iii-1-111-1-111−ii
χ111-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−iiii−i−i-1-111−i−i−i−iiiii-1-1-1-111111-1ii−i−i11-1-1-1-111−ii
χ121-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11ii−i−i11-11111-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−ii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11−i−iii-1-11111-1-1i−i
χ131-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−ii−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11ii−i−i-1-11111-1-1−ii
χ141-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−ii−i−i−iii-1-111iiii−i−i−i−i-1-1-1-111111-1−i−iii11-1-1-1-111i−i
χ151-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−iiii−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1-11ii−i−i-1-111-1-111i−i
χ161-11-11-11-1111-1-11111-1-1-1-1-111-1-11-111-1-1-1-111111-1-1-1-11−i−iii11-11111-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−i−iii11-1-111-1-1−ii
χ172222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-20000000022-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22200000000-2-222-2-222000000000000000000000000
χ19222222222-1222222-122-1-1-12-122-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022220000000000000000000022-1-1-1-1-1-1-1-1000000
χ20222222222-1222222-122-1-1-12-122-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000000000000-2-211111111000000
χ21222222222-1222222-122-1-1-12-122-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000222200000000000000000000-2-2-1-1-1-11111000000
χ22222222222-1222222-122-1-1-12-122-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000-2-2-2-200000000000000000000221111-1-1-1-1000000
χ2322222222-122222-1-12-1-1222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222-1-12-1-1222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-20000-2-2-2-211111111111111110000000000000000
χ2522222222-122222-1-12-1-1222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111112222220000-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2622222222-122222-1-12-1-1222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-20000222211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-12-2-2-2-2-1-12-1-1222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−32222-2-200000000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-12-2-2-2-2-1-12-1-1222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-2220000000011-1-111-1-1−3−333−3−3330000000000000000
χ2922222222-12-2-2-2-2-1-12-1-1222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−333332222-2-200000000-1-111-1-111−3−333−3−3330000000000000000
χ3022222222-12-2-2-2-2-1-12-1-1222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-2220000000011-1-111-1-133−3−333−3−30000000000000000
χ31222-2-22-2-22222-2-2-2-2-2222-2-222-2-2-222222-2-2-2-22-2-222-2-2200002-2222-2-222-2-2-2000000000000000000000000000000000000002-22-200000000000000000000002-22-20000000000
χ32222-2-22-2-22222-2-2-2-2-2222-2-222-2-2-222222-2-2-2-22-2-222-2-2200002-2222-2-222-2-2-200000000000000000000000000000000000000-22-220000000000000000000000-22-220000000000
χ33222-2-22-2-222-2-222-2-2-2222-2-222-2-2-22-2-2-2-222222-2-222-2-220000-22-2-2-222-2-22220000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ34222-2-22-2-222-2-222-2-2-2222-2-222-2-2-22-2-2-2-222222-2-222-2-220000-22-2-2-222-2-2222000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ35222-2-22-2-22-122-2-2-2-2122-1112-1-2-21-12222-2-2-2-2-111-1-111-10000-11-1-1-111-1-11110000000033−3−333−3−333−3−333−3−333−3−333−3−30000002-22-20000000000000000000000-11-113−33−3000000
χ36222-2-22-2-22-122-2-2-2-2122-1112-1-2-21-12222-2-2-2-2-111-1-111-10000-11-1-1-111-1-11110000000033−3−333−3−333−3−333−3−333−3−333−3−3000000-22-2200000000000000000000001-11-1−33−33000000
χ37222-2-22-2-22-122-2-2-2-2122-1112-1-2-21-12222-2-2-2-2-111-1-111-10000-11-1-1-111-1-111100000000−3−333−3−333−3−333−3−333−3−333−3−3330000002-22-20000000000000000000000-11-11−33−33000000
χ38222-2-22-2-22-122-2-2-2-2122-1112-1-2-21-12222-2-2-2-2-111-1-111-10000-11-1-1-111-1-111100000000−3−333−3−333−3−333−3−333−3−333−3−333000000-22-2200000000000000000000001-11-13−33−3000000
χ3922-2-22-2-222200002-2-22-222-2-2-22-22-20000000022-22-22-2-2−i2i2−i2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-2000000−i2i2−i2i22-2002-200−i2i2−i2i2−i2i2−i2i20000000000000000
χ4022-2-22-2-222200002-2-22-222-2-2-22-22-20000000022-22-22-2-2−i2i2−i2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22-22000000i2−i2i2−i2-2200-2200i2−i2i2−i2i2−i2i2−i20000000000000000
χ4122-2-22-2-222200002-2-22-222-2-2-22-22-20000000022-22-22-2-2i2−i2i2−i2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-2000000i2−i2i2−i22-2002-200i2−i2i2−i2i2−i2i2−i20000000000000000
χ4222-2-22-2-222200002-2-22-222-2-2-22-22-20000000022-22-22-2-2i2−i2i2−i2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22-22000000−i2i2−i2i2-2200-2200−i2i2−i2i2−i2i2−i2i20000000000000000
χ4322-2-22-2-22-120000-11-2-1122-21-2-112-23−33−33−33−3-1-11-11-111−i2i2−i2i20003−33−33−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232-22-2000000−i2i2−i2i2-113−3-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ4422-2-22-2-22-120000-11-2-1122-21-2-112-23−33−33−33−3-1-11-11-111−i2i2−i2i20003−33−33−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-22-22000000i2−i2i2−i21-1−331-1−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ4522-2-22-2-22-120000-11-2-1122-21-2-112-23−33−33−33−3-1-11-11-111i2−i2i2−i20003−33−33−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232-22-2000000i2−i2i2−i2-113−3-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ4622-2-22-2-22-120000-11-2-1122-21-2-112-23−33−33−33−3-1-11-11-111i2−i2i2−i20003−33−33−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-22-22000000−i2i2−i2i21-1−331-1−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ4722-2-22-2-22-120000-11-2-1122-21-2-112-2−33−33−33−33-1-11-11-111−i2i2−i2i2000−33−33−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72-22-2000000−i2i2−i2i2-11−33-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ4822-2-22-2-22-120000-11-2-1122-21-2-112-2−33−33−33−33-1-11-11-111−i2i2−i2i2000−33−33−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-22-22000000i2−i2i2−i21-13−31-13−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ4922-2-22-2-22-120000-11-2-1122-21-2-112-2−33−33−33−33-1-11-11-111i2−i2i2−i2000−33−33−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72-22-2000000i2−i2i2−i2-11−33-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5022-2-22-2-22-120000-11-2-1122-21-2-112-2−33−33−33−33-1-11-11-111i2−i2i2−i2000−33−33−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-22-22000000−i2i2−i2i21-13−31-13−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
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χ10744-4-44-4-444-200004-424-4-2-22-424-4-2200000000-2-22-22-2222i2−2i22i2−2i20000000000002i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000000000000000
χ10844-4-44-4-44-2-20000-222-22-2-2222-22-2223−2323−2323−2323−2311-11-11-1-1−2i22i2−2i22i2000−33−33−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000000000000000000000000000000000
χ10944-4-44-4-44-2-20000-222-22-2-2222-22-2223−2323−2323−2323−2311-11-11-1-12i2−2i22i2−2i2000−33−33−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000000000000000000000000000000000
χ11044-4-44-4-44-2-20000-222-22-2-2222-22-22−2323−2323−2323−232311-11-11-1-1−2i22i2−2i22i20003−33−33−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000000000000000000000000000000000
χ11144-4-44-4-44-2-20000-222-22-2-2222-22-22−2323−2323−2323−232311-11-11-1-12i2−2i22i2−2i20003−33−33−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000000000000000000000000000000000
χ1124-444-4-4-444-2-44-44-4-42-4-42-2-24-24422-4-444-4-444-22222-2-2-200002-2-222-2-2-2-2222000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-444-4-4-44-244-44-422-422-444-24-2-2-4-4-2-222-2-222-22222-2-2-200004-4-4-2-222224-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-444-4-4-44-24-44-4422-422-444-24-2-2-4-422-2-222-2-2-22222-2-2-20000-44422-2-2-2-2-422000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-444-4-4-44-2-24-44-4222222-2-2-2-2-2-222-2-222-2-2221-1-1-1-11110000-22211-1-1-1-1-21100000000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i32i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000000000
χ1164-444-4-4-44-2-24-44-4222222-2-2-2-2-2-222-2-222-2-2221-1-1-1-11110000-22211-1-1-1-1-211000000002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000000000
χ1174-444-4-4-44-2-2-44-44222222-2-2-2-2-2-22222-2-222-2-21-1-1-1-111100002-2-2-1-111112-1-10000000000003i3i−3i−3i−3i−3i3i3i0000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000000000000000
χ1184-444-4-4-44-2-2-44-44222222-2-2-2-2-2-22222-2-222-2-21-1-1-1-111100002-2-2-1-111112-1-1000000000000−3i−3i3i3i3i3i−3i−3i00003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000000000000000
χ1194-44-44-44-44-2-444-444-2-4-42224-2-4-4-22-4-44444-4-4-2-2-22222-2000022-22222-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1204-44-44-44-4-2-24-4-44-2-2-222222-2-222-22-2-22222-2-2111-1-1-1-114i4i−4i−4i-2-221111-1-12-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i0000000000000000000000000000000000000000000000
χ1214-44-44-44-4-2-24-4-44-2-2-222222-2-222-22-2-22222-2-2111-1-1-1-11−4i−4i4i4i-2-221111-1-12-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii0000000000000000000000000000000000000000000000
χ1224-44-44-44-4-2-2-444-4-2-2-222222-2-222-2222-2-2-2-222111-1-1-1-11000022-2-1-1-1-111-211−2i3−2i32i32i32i32i3−2i3−2i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000000000000000
χ1234-44-44-44-4-2-2-444-4-2-2-222222-2-222-2222-2-2-2-222111-1-1-1-11000022-2-1-1-1-111-2112i32i3−2i3−2i3−2i3−2i32i32i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000000000000000
χ1244-4-4444-4-44-200004-42-4422-2-42-44-2-200000000-2-222-22-2222−22−222200000000000022−2222−22−2222−2222−22−22−22−22−22−222−22−22−22−22−22−20000000000000000000000000000000000000000000000
χ1254-4-4444-4-44-200004-42-4422-2-42-44-2-200000000-2-222-22-22−222222−22000000000000−2222−222222−2222−222−22−22−22−22−22−2−22−22−22−22−22−220000000000000000000000000000000000000000000000
χ1264-4-4444-4-4-2-20000-2222-222-2222-2-2-223−23−2323−232323−2311-1-11-11-122−22−2222000−33−333−303−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000000000000000000000000
χ1274-4-4444-4-4-2-20000-2222-222-2222-2-2-223−23−2323−232323−2311-1-11-11-1−222222−22000−33−333−303−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000000000000000000000000
χ1284-4-4444-4-4-2-20000-2222-222-2222-2-2-2−232323−2323−23−232311-1-11-11-122−22−22220003−33−3−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000000000000000000000000
χ1294-4-4444-4-4-2-20000-2222-222-2222-2-2-2−232323−2323−23−232311-1-11-11-1−222222−220003−33−3−330−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000000000000000000000000000000000
χ1304-4-4-4-4444440000-444-44-44-4-4-44-4-44000000004-44-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-4-44444-20000-44-2-442-22-424-42-200000000-22-22-2-2220000000000000000000000006−6−666−6−666−6−66−666−6−666−6−666−60000000000000000000000000000000000000000000000
χ1324-4-4-4-44444-20000-44-2-442-22-424-42-200000000-22-22-2-222000000000000000000000000−666−6−666−6−666−66−6−666−6−666−6−660000000000000000000000000000000000000000000000
χ1334-4-4-4-4444-2400002-242-2-44-42-4-22-4423−23−232323−23−2323-22-22-2-222000000023−23−2323−2323023−23000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-2400002-242-2-44-42-4-22-44−232323−23−232323−23-22-22-2-2220000000−232323−2323−230−2323000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-4-4444-2-200002-2-22-22-2222-222-223−23−232323−23−23231-11-111-1-10000000−333−33−30−33000000006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000000000000000000000000
χ1364-4-4-4-4444-2-200002-2-22-22-2222-222-223−23−232323−23−23231-11-111-1-10000000−333−33−30−3300000000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ236−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000000000000000000000000000
χ1374-4-4-4-4444-2-200002-2-22-22-2222-222-2−232323−23−232323−231-11-111-1-100000003−3−33−3303−3000000006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000000000000000000000000000
χ1384-4-4-4-4444-2-200002-2-22-22-2222-222-2−232323−23−232323−231-11-111-1-100000003−3−33−3303−300000000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ236−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ230000000000000000000000000000000000000000000000

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