Finite Group Databasebeta

← Group #14418445

Character table — Group #14418445

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222244444445555668888888888101010101010101012202020202020202020202020202424242430303030303060606011112222444444455556688888888881010101010101010122020202020202020202020202024242424303030303030606060
order1222366645101010121244444415202030303060606060888812121212448812122424242424242424202020204488884882222666641010101012124444443020203030306060606088881212121244881212242424242424242420202020448888488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1
χ31111111111111111111-1-1111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-11111111111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111111111111111111-1-11111111111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111-1-1-1-1111111111111ii−i−i-1-1-1-11-1i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i-1i−i111111111111111-1-1-1-1111111111111ii−i−i-1-1-1-11-1i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i-1i−i
χ6111111111111111-1-1-1-1111111111111−i−iii-1-1-1-11-1−ii-1-1−i−i−i−iiiii1111-1-1−i−iii-1−ii111111111111111-1-1-1-1111111111111−i−iii-1-1-1-11-1−ii-1-1−i−i−i−iiiii1111-1-1−i−iii-1−ii
χ7111111111111111-1-1-1-1-1-11111111111ii−i−i-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii1−ii111111111111111-1-1-1-1-1-11111111111ii−i−i-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii1−ii
χ8111111111111111-1-1-1-1-1-11111111111−i−iii-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i1i−i111111111111111-1-1-1-1-1-11111111111−i−iii-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i1i−i
χ911111111-11111-1-11111111-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-111111111-11111-1-11111111-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1
χ1011111111-11111-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-11111111111-11111-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-111
χ1111111111-11111-1-11111-1-11-1-1111-1-1-1-1111111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111111111111-11111-1-11111-1-11-1-1111-1-1-1-1111111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111
χ1211111111-11111-1-11111-1-11-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111-1-111111-1-111111111-11111-1-11111-1-11-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111-1-111111-1-1
χ1311111111-11111-1-1-1-1-1-1111-1-1111-1-1-1-1ii−i−i-1-1-1-1-11−ii11ii−i−i−i−iii11-1-1-1-1ii−i−i1−ii11111111-11111-1-1-1-1-1-1111-1-1111-1-1-1-1ii−i−i-1-1-1-1-11−ii11ii−i−i−i−iii11-1-1-1-1ii−i−i1−ii
χ1411111111-11111-1-1-1-1-1-1111-1-1111-1-1-1-1−i−iii-1-1-1-1-11i−i11−i−iiiii−i−i11-1-1-1-1−i−iii1i−i11111111-11111-1-1-1-1-1-1111-1-1111-1-1-1-1−i−iii-1-1-1-1-11i−i11−i−iiiii−i−i11-1-1-1-1−i−iii1i−i
χ1511111111-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1ii−i−i-1-1-1-111−ii11ii−i−i−i−iii-1-11111−i−iii-1i−i11111111-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1ii−i−i-1-1-1-111−ii11ii−i−i−i−iii-1-11111−i−iii-1i−i
χ1611111111-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1−i−iii-1-1-1-111i−i11−i−iiiii−i−i-1-11111ii−i−i-1−ii11111111-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1−i−iii-1-1-1-111i−i11−i−iiiii−i−i-1-11111ii−i−i-1−ii
χ172222-1-1-1-122222-1-1222200-122-1-1-1-1-1-1-12222-1-1-1-10222-1-1-1-1-1-1-1-1-1-100000000000002222-1-1-1-122222-1-1222200-122-1-1-1-1-1-1-12222-1-1-1-10222-1-1-1-1-1-1-1-1-1-10000000000000
χ182222-1-1-1-122222-1-1222200-122-1-1-1-1-1-1-1-2-2-2-2-1-1-1-102-2-2-1-11111111100000000000002222-1-1-1-122222-1-1222200-122-1-1-1-1-1-1-1-2-2-2-2-1-1-1-102-2-2-1-1111111110000000000000
χ192222-1-1-1-122222-1-1-2-2-2-200-122-1-1-1-1-1-1-12i2i−2i−2i11110-22i−2i11−i−i−i−iiiii00000000000002222-1-1-1-122222-1-1-2-2-2-200-122-1-1-1-1-1-1-12i2i−2i−2i11110-22i−2i11−i−i−i−iiiii0000000000000
χ202222-1-1-1-122222-1-1-2-2-2-200-122-1-1-1-1-1-1-1−2i−2i2i2i11110-2−2i2i11iiii−i−i−i−i00000000000002222-1-1-1-122222-1-1-2-2-2-200-122-1-1-1-1-1-1-1−2i−2i2i2i11110-2−2i2i11iiii−i−i−i−i0000000000000
χ212222-1-1-1-1-2222211222200-1-2-2-1-1-111112222-1-1-1-10-2-2-211-1-111-1-11100000000000002222-1-1-1-1-2222211222200-1-2-2-1-1-111112222-1-1-1-10-2-2-211-1-111-1-1110000000000000
χ222222-1-1-1-1-2222211222200-1-2-2-1-1-11111-2-2-2-2-1-1-1-10-2221111-1-111-1-100000000000002222-1-1-1-1-2222211222200-1-2-2-1-1-11111-2-2-2-2-1-1-1-10-2221111-1-111-1-10000000000000
χ232222-1-1-1-1-2222211-2-2-2-200-1-2-2-1-1-111112i2i−2i−2i111102−2i2i-1-1−i−iiiii−i−i00000000000002222-1-1-1-1-2222211-2-2-2-200-1-2-2-1-1-111112i2i−2i−2i111102−2i2i-1-1−i−iiiii−i−i0000000000000
χ242222-1-1-1-1-2222211-2-2-2-200-1-2-2-1-1-11111−2i−2i2i2i1111022i−2i-1-1ii−i−i−i−iii00000000000002222-1-1-1-1-2222211-2-2-2-200-1-2-2-1-1-11111−2i−2i2i2i1111022i−2i-1-1ii−i−i−i−iii0000000000000
χ2522-2-22-22-2022-2-20022-2-2002002-2-200002-22-222-2-20000002-2002-200000000000000022-2-22-22-2022-2-20022-2-2002002-2-200002-22-222-2-20000002-2002-2000000000000000
χ2622-2-22-22-2022-2-20022-2-2002002-2-20000-22-2222-2-2000000-2200-2200000000000000022-2-22-22-2022-2-20022-2-2002002-2-20000-22-2222-2-2000000-2200-22000000000000000
χ2722-2-22-22-2022-2-200-2-222002002-2-200002i−2i−2i2i-2-2220000002i−2i00−2i2i00000000000000022-2-22-22-2022-2-200-2-222002002-2-200002i−2i−2i2i-2-2220000002i−2i00−2i2i000000000000000
χ2822-2-22-22-2022-2-200-2-222002002-2-20000−2i2i2i−2i-2-222000000−2i2i002i−2i00000000000000022-2-22-22-2022-2-200-2-222002002-2-20000−2i2i2i−2i-2-222000000−2i2i002i−2i000000000000000
χ2922-2-2-11-11022-2-23−322-2-200-100-11133−3−32-22-2-1-11100003−3-113−3-113−3000000000000022-2-2-11-11022-2-23−322-2-200-100-11133−3−32-22-2-1-11100003−3-113−3-113−30000000000000
χ3022-2-2-11-11022-2-23−322-2-200-100-11133−3−3-22-22-1-11100003−31-1−331-1−33000000000000022-2-2-11-11022-2-23−322-2-200-100-11133−3−3-22-22-1-11100003−31-1−331-1−330000000000000
χ3122-2-2-11-11022-2-23−3-2-22200-100-11133−3−32i−2i−2i2i11-1-10000−33−iii3−i3i−i−i3i3000000000000022-2-2-11-11022-2-23−3-2-22200-100-11133−3−32i−2i−2i2i11-1-10000−33−iii3−i3i−i−i3i30000000000000
χ3222-2-2-11-11022-2-23−3-2-22200-100-11133−3−3−2i2i2i−2i11-1-10000−33i−i−i3i3−iii3−i3000000000000022-2-2-11-11022-2-23−3-2-22200-100-11133−3−3−2i2i2i−2i11-1-10000−33i−i−i3i3−iii3−i30000000000000
χ3322-2-2-11-11022-2-2−3322-2-200-100-111−3−3332-22-2-1-1110000−33-11−33-11−33000000000000022-2-2-11-11022-2-2−3322-2-200-100-111−3−3332-22-2-1-1110000−33-11−33-11−330000000000000
χ3422-2-2-11-11022-2-2−3322-2-200-100-111−3−333-22-22-1-1110000−331-13−31-13−3000000000000022-2-2-11-11022-2-2−3322-2-200-100-111−3−333-22-22-1-1110000−331-13−31-13−30000000000000
χ3522-2-2-11-11022-2-2−33-2-22200-100-111−3−3332i−2i−2i2i11-1-100003−3−ii−i3i3i−ii3−i3000000000000022-2-2-11-11022-2-2−33-2-22200-100-111−3−3332i−2i−2i2i11-1-100003−3−ii−i3i3i−ii3−i30000000000000
χ3622-2-2-11-11022-2-2−33-2-22200-100-111−3−333−2i2i2i−2i11-1-100003−3i−ii3−i3−ii−i3i3000000000000022-2-2-11-11022-2-2−33-2-22200-100-111−3−333−2i2i2i−2i11-1-100003−3i−ii3−i3−ii−i3i30000000000000
χ372-22-22-2-2202-2-22002i−2i2i−2i00200-22-2000000002i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090002-22-22-2-2202-2-22002i−2i2i−2i00200-22-2000000002i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000
χ382-22-22-2-2202-2-22002i−2i2i−2i00200-22-2000000002i−2i2i−2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090002-22-22-2-2202-2-22002i−2i2i−2i00200-22-2000000002i−2i2i−2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000
χ392-22-22-2-2202-2-2200−2i2i−2i2i00200-22-200000000−2i2i−2i2i00000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190002-22-22-2-2202-2-2200−2i2i−2i2i00200-22-200000000−2i2i−2i2i00000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000
χ402-22-22-2-2202-2-2200−2i2i−2i2i00200-22-200000000−2i2i−2i2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190002-22-22-2-2202-2-2200−2i2i−2i2i00200-22-200000000−2i2i−2i2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000
χ412-2-2222-2-202-22-2002i−2i−2i2i2i−2i200-2-22000000002i−2i−2i2i000000000000002i−2i002-200000002-2-2222-2-202-22-2002i−2i−2i2i2i−2i200-2-22000000002i−2i−2i2i000000000000002i−2i002-20000000
χ422-2-2222-2-202-22-2002i−2i−2i2i−2i2i200-2-22000000002i−2i−2i2i00000000000000−2i2i00-2200000002-2-2222-2-202-22-2002i−2i−2i2i−2i2i200-2-22000000002i−2i−2i2i00000000000000−2i2i00-220000000
χ432-2-2222-2-202-22-200−2i2i2i−2i2i−2i200-2-2200000000−2i2i2i−2i000000000000002i−2i00-2200000002-2-2222-2-202-22-200−2i2i2i−2i2i−2i200-2-2200000000−2i2i2i−2i000000000000002i−2i00-220000000
χ442-2-2222-2-202-22-200−2i2i2i−2i−2i2i200-2-2200000000−2i2i2i−2i00000000000000−2i2i002-200000002-2-2222-2-202-22-200−2i2i2i−2i−2i2i200-2-2200000000−2i2i2i−2i00000000000000−2i2i002-20000000
χ45444444444-1-1-1-144000044-1-1-1-1-1-1-1-1-1-10000000040000000000000-1-1-1-1000000000444444444-1-1-1-144000044-1-1-1-1-1-1-1-1-1-10000000040000000000000-1-1-1-1000000000
χ46444444444-1-1-1-1440000-4-4-1-1-1-1-1-1-1-1-1-100000000-400000000000001111000000000444444444-1-1-1-1440000-4-4-1-1-1-1-1-1-1-1-1-100000000-400000000000001111000000000
χ4744444444-4-1-1-1-1-4-4000044-111-1-1-1111100000000-40000000000000-1-11100000000044444444-4-1-1-1-1-4-4000044-111-1-1-1111100000000-40000000000000-1-111000000000
χ4844444444-4-1-1-1-1-4-40000-4-4-111-1-1-11111000000004000000000000011-1-100000000044444444-4-1-1-1-1-4-40000-4-4-111-1-1-11111000000004000000000000011-1-1000000000
χ494-44-4-222-204-4-44004i−4i4i−4i00-2002-2200000000−2i2i−2i2i0000000000000000000000000004-44-4-222-204-4-44004i−4i4i−4i00-2002-2200000000−2i2i−2i2i000000000000000000000000000
χ504-44-4-222-204-4-4400−4i4i−4i4i00-2002-22000000002i−2i2i−2i0000000000000000000000000004-44-4-222-204-4-4400−4i4i−4i4i00-2002-22000000002i−2i2i−2i000000000000000000000000000
χ514-4-4444-4-40-11-110000004i−4i-1−5511-1−55−550000000000000000000000−ii−i5i50000000004-4-4444-4-40-11-110000004i−4i-1−5511-1−55−550000000000000000000000−ii−i5i5000000000
χ524-4-4444-4-40-11-110000004i−4i-15−511-15−55−50000000000000000000000−iii5−i50000000004-4-4444-4-40-11-110000004i−4i-15−511-15−55−50000000000000000000000−iii5−i5000000000
χ534-4-4444-4-40-11-11000000−4i4i-1−5511-1−55−550000000000000000000000i−ii5−i50000000004-4-4444-4-40-11-11000000−4i4i-1−5511-1−55−550000000000000000000000i−ii5−i5000000000
χ544-4-4444-4-40-11-11000000−4i4i-15−511-15−55−50000000000000000000000i−i−i5i50000000004-4-4444-4-40-11-11000000−4i4i-15−511-15−55−50000000000000000000000i−i−i5i5000000000
χ554-4-44-2-22204-44-4004i−4i−4i4i00-20022-200000000−2i2i2i−2i0000000000000000000000000004-4-44-2-22204-44-4004i−4i−4i4i00-20022-200000000−2i2i2i−2i000000000000000000000000000
χ564-4-44-2-22204-44-400−4i4i4i−4i00-20022-2000000002i−2i−2i2i0000000000000000000000000004-4-44-2-22204-44-400−4i4i4i−4i00-20022-2000000002i−2i−2i2i000000000000000000000000000
χ578888-4-4-4-48-2-2-2-2-4-40000001-2-21111111000000000000000000000000000000000008888-4-4-4-48-2-2-2-2-4-40000001-2-2111111100000000000000000000000000000000000
χ588888-4-4-4-4-8-2-2-2-244000000122111-1-1-1-1000000000000000000000000000000000008888-4-4-4-4-8-2-2-2-244000000122111-1-1-1-100000000000000000000000000000000000
χ5988-8-88-88-80-2-22200000000-200-22200000000000000000000000000000000000000088-8-88-88-80-2-22200000000-200-222000000000000000000000000000000000000000
χ6088-8-8-44-440-2-22243−430000001001-1-1−3−3330000000000000000000000000000000000088-8-8-44-440-2-22243−430000001001-1-1−3−33300000000000000000000000000000000000
χ6188-8-8-44-440-2-222−43430000001001-1-133−3−30000000000000000000000000000000000088-8-8-44-440-2-222−43430000001001-1-133−3−300000000000000000000000000000000000
χ628-88-88-8-880-222-200000000-2002-220000000000000000000000000000000000000008-88-88-8-880-222-200000000-2002-22000000000000000000000000000000000000000
χ638-88-8-444-40-222-200000000100-11-1−151515−15000000000000000000000000000000000008-88-8-444-40-222-200000000100-11-1−151515−1500000000000000000000000000000000000
χ648-88-8-444-40-222-200000000100-11-115−15−1515000000000000000000000000000000000008-88-8-444-40-222-200000000100-11-115−15−151500000000000000000000000000000000000
χ658-8-88-4-4440-22-22000000001−2525-1-115−55−5000000000000000000000000000000000008-8-88-4-4440-22-22000000001−2525-1-115−55−500000000000000000000000000000000000
χ668-8-88-4-4440-22-2200000000125−25-1-11−55−55000000000000000000000000000000000008-8-88-4-4440-22-2200000000125−25-1-11−55−5500000000000000000000000000000000000
χ67111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ681111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-111
χ691111111111111111111-1-1111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111
χ701111111111111111111-1-11111111111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111111111111111-1-1-1-11-1-1
χ71111111111111111-1-1-1-1111111111111ii−i−i-1-1-1-11-1i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-11−ii11−i−i−i−iiiii-1-1-1-111−i−iii1−ii
χ72111111111111111-1-1-1-1111111111111−i−iii-1-1-1-11-1−ii-1-1−i−i−i−iiiii1111-1-1−i−iii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-11i−i11iiii−i−i−i−i-1-1-1-111ii−i−i1i−i
χ73111111111111111-1-1-1-1-1-11111111111ii−i−i-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1−i−iii111111−ii11−i−i−i−iiiii1111-1-1ii−i−i-1i−i
χ74111111111111111-1-1-1-1-1-11111111111−i−iii-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1ii−i−i111111i−i11iiii−i−i−i−i1111-1-1−i−iii-1−ii
χ7511111111-11111-1-11111111-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1111
χ7611111111-11111-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-111-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111111-1-1
χ7711111111-11111-1-11111-1-11-1-1111-1-1-1-1111111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1111111-1-1-1
χ7811111111-11111-1-11111-1-11-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-111-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-111-1-111-1-1-1-1-111
χ7911111111-11111-1-1-1-1-1-1111-1-1111-1-1-1-1ii−i−i-1-1-1-1-11−ii11ii−i−i−i−iii11-1-1-1-1ii−i−i1−ii-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-11111−i−iii11111-1i−i-1-1−i−iiiii−i−i-1-11111−i−iii-1i−i
χ8011111111-11111-1-1-1-1-1-1111-1-1111-1-1-1-1−i−iii-1-1-1-1-11i−i11−i−iiiii−i−i11-1-1-1-1−i−iii1i−i-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-111-1-1-11111ii−i−i11111-1−ii-1-1ii−i−i−i−iii-1-11111ii−i−i-1−ii
χ8111111111-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1ii−i−i-1-1-1-111−ii11ii−i−i−i−iii-1-11111−i−iii-1i−i-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-11111−i−iii1111-1-1i−i-1-1−i−iiiii−i−i11-1-1-1-1ii−i−i1−ii
χ8211111111-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1−i−iii-1-1-1-111i−i11−i−iiiii−i−i-1-11111ii−i−i-1−ii-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-11111ii−i−i1111-1-1−ii-1-1ii−i−i−i−iii11-1-1-1-1−i−iii1i−i
χ832222-1-1-1-122222-1-1222200-122-1-1-1-1-1-1-12222-1-1-1-10222-1-1-1-1-1-1-1-1-1-10000000000000-2-2-2-21111-2-2-2-2-211-2-2-2-2001-2-21111111-2-2-2-211110-2-2-211111111110000000000000
χ842222-1-1-1-122222-1-1222200-122-1-1-1-1-1-1-1-2-2-2-2-1-1-1-102-2-2-1-1111111110000000000000-2-2-2-21111-2-2-2-2-211-2-2-2-2001-2-21111111222211110-22211-1-1-1-1-1-1-1-10000000000000
χ852222-1-1-1-122222-1-1-2-2-2-200-122-1-1-1-1-1-1-12i2i−2i−2i11110-22i−2i11−i−i−i−iiiii0000000000000-2-2-2-21111-2-2-2-2-2112222001-2-21111111−2i−2i2i2i-1-1-1-102−2i2i-1-1iiii−i−i−i−i0000000000000
χ862222-1-1-1-122222-1-1-2-2-2-200-122-1-1-1-1-1-1-1−2i−2i2i2i11110-2−2i2i11iiii−i−i−i−i0000000000000-2-2-2-21111-2-2-2-2-2112222001-2-211111112i2i−2i−2i-1-1-1-1022i−2i-1-1−i−i−i−iiiii0000000000000
χ872222-1-1-1-1-2222211222200-1-2-2-1-1-111112222-1-1-1-10-2-2-211-1-111-1-1110000000000000-2-2-2-211112-2-2-2-2-1-1-2-2-2-200122111-1-1-1-1-2-2-2-211110222-1-111-1-111-1-10000000000000
χ882222-1-1-1-1-2222211222200-1-2-2-1-1-11111-2-2-2-2-1-1-1-10-2221111-1-111-1-10000000000000-2-2-2-211112-2-2-2-2-1-1-2-2-2-200122111-1-1-1-12222111102-2-2-1-1-1-111-1-1110000000000000
χ892222-1-1-1-1-2222211-2-2-2-200-1-2-2-1-1-111112i2i−2i−2i111102−2i2i-1-1−i−iiiii−i−i0000000000000-2-2-2-211112-2-2-2-2-1-1222200122111-1-1-1-1−2i−2i2i2i-1-1-1-10-22i−2i11ii−i−i−i−iii0000000000000
χ902222-1-1-1-1-2222211-2-2-2-200-1-2-2-1-1-11111−2i−2i2i2i1111022i−2i-1-1ii−i−i−i−iii0000000000000-2-2-2-211112-2-2-2-2-1-1222200122111-1-1-1-12i2i−2i−2i-1-1-1-10-2−2i2i11−i−iiiii−i−i0000000000000
χ9122-2-22-22-2022-2-20022-2-2002002-2-200002-22-222-2-20000002-2002-2000000000000000-2-222-22-220-2-22200-2-22200-200-2220000-22-22-2-222000000-2200-22000000000000000
χ9222-2-22-22-2022-2-20022-2-2002002-2-20000-22-2222-2-2000000-2200-22000000000000000-2-222-22-220-2-22200-2-22200-200-22200002-22-2-2-2220000002-2002-2000000000000000
χ9322-2-22-22-2022-2-200-2-222002002-2-200002i−2i−2i2i-2-2220000002i−2i00−2i2i000000000000000-2-222-22-220-2-2220022-2-200-200-2220000−2i2i2i−2i22-2-2000000−2i2i002i−2i000000000000000
χ9422-2-22-22-2022-2-200-2-222002002-2-20000−2i2i2i−2i-2-222000000−2i2i002i−2i000000000000000-2-222-22-220-2-2220022-2-200-200-22200002i−2i−2i2i22-2-20000002i−2i00−2i2i000000000000000
χ9522-2-2-11-11022-2-23−322-2-200-100-11133−3−32-22-2-1-11100003−3-113−3-113−30000000000000-2-2221-11-10-2-222−33-2-222001001-1-1−3−333-22-2211-1-10000−331-1−331-1−330000000000000
χ9622-2-2-11-11022-2-23−322-2-200-100-11133−3−3-22-22-1-11100003−31-1−331-1−330000000000000-2-2221-11-10-2-222−33-2-222001001-1-1−3−3332-22-211-1-10000−33-113−3-113−30000000000000
χ9722-2-2-11-11022-2-23−3-2-22200-100-11133−3−32i−2i−2i2i11-1-10000−33−iii3−i3i−i−i3i30000000000000-2-2221-11-10-2-222−3322-2-2001001-1-1−3−333−2i2i2i−2i-1-11100003−3i−i−i3i3−iii3−i30000000000000
χ9822-2-2-11-11022-2-23−3-2-22200-100-11133−3−3−2i2i2i−2i11-1-10000−33i−i−i3i3−iii3−i30000000000000-2-2221-11-10-2-222−3322-2-2001001-1-1−3−3332i−2i−2i2i-1-11100003−3−iii3−i3i−i−i3i30000000000000
χ9922-2-2-11-11022-2-2−3322-2-200-100-111−3−3332-22-2-1-1110000−33-11−33-11−330000000000000-2-2221-11-10-2-2223−3-2-222001001-1-133−3−3-22-2211-1-100003−31-13−31-13−30000000000000
χ10022-2-2-11-11022-2-2−3322-2-200-100-111−3−333-22-22-1-1110000−331-13−31-13−30000000000000-2-2221-11-10-2-2223−3-2-222001001-1-133−3−32-22-211-1-100003−3-11−33-11−330000000000000
χ10122-2-2-11-11022-2-2−33-2-22200-100-111−3−3332i−2i−2i2i11-1-100003−3−ii−i3i3i−ii3−i30000000000000-2-2221-11-10-2-2223−322-2-2001001-1-133−3−3−2i2i2i−2i-1-1110000−33i−ii3−i3−ii−i3i30000000000000
χ10222-2-2-11-11022-2-2−33-2-22200-100-111−3−333−2i2i2i−2i11-1-100003−3i−ii3−i3−ii−i3i30000000000000-2-2221-11-10-2-2223−322-2-2001001-1-133−3−32i−2i−2i2i-1-1110000−33−ii−i3i3i−ii3−i30000000000000
χ1032-22-22-2-2202-2-22002i−2i2i−2i00200-22-2000000002i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000-22-22-222-20-222-200−2i2i−2i2i00-2002-2200000000−2i2i−2i2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000
χ1042-22-22-2-2202-2-22002i−2i2i−2i00200-22-2000000002i−2i2i−2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000-22-22-222-20-222-200−2i2i−2i2i00-2002-2200000000−2i2i−2i2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000
χ1052-22-22-2-2202-2-2200−2i2i−2i2i00200-22-200000000−2i2i−2i2i00000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000-22-22-222-20-222-2002i−2i2i−2i00-2002-22000000002i−2i2i−2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000
χ1062-22-22-2-2202-2-2200−2i2i−2i2i00200-22-200000000−2i2i−2i2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000-22-22-222-20-222-2002i−2i2i−2i00-2002-22000000002i−2i2i−2i00000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000
χ1072-2-2222-2-202-22-2002i−2i−2i2i2i−2i200-2-22000000002i−2i−2i2i000000000000002i−2i002-20000000-222-2-2-2220-22-2200−2i2i2i−2i−2i2i-20022-200000000−2i2i2i−2i00000000000000−2i2i00-220000000
χ1082-2-2222-2-202-22-2002i−2i−2i2i−2i2i200-2-22000000002i−2i−2i2i00000000000000−2i2i00-220000000-222-2-2-2220-22-2200−2i2i2i−2i2i−2i-20022-200000000−2i2i2i−2i000000000000002i−2i002-20000000
χ1092-2-2222-2-202-22-200−2i2i2i−2i2i−2i200-2-2200000000−2i2i2i−2i000000000000002i−2i00-220000000-222-2-2-2220-22-22002i−2i−2i2i−2i2i-20022-2000000002i−2i−2i2i00000000000000−2i2i002-20000000
χ1102-2-2222-2-202-22-200−2i2i2i−2i−2i2i200-2-2200000000−2i2i2i−2i00000000000000−2i2i002-20000000-222-2-2-2220-22-22002i−2i−2i2i2i−2i-20022-2000000002i−2i−2i2i000000000000002i−2i00-220000000
χ111444444444-1-1-1-144000044-1-1-1-1-1-1-1-1-1-10000000040000000000000-1-1-1-1000000000-4-4-4-4-4-4-4-4-41111-4-40000-4-4111111111100000000-400000000000001111000000000
χ112444444444-1-1-1-1440000-4-4-1-1-1-1-1-1-1-1-1-100000000-400000000000001111000000000-4-4-4-4-4-4-4-4-41111-4-400004411111111110000000040000000000000-1-1-1-1000000000
χ11344444444-4-1-1-1-1-4-4000044-111-1-1-1111100000000-40000000000000-1-111000000000-4-4-4-4-4-4-4-441111440000-4-41-1-1111-1-1-1-1000000004000000000000011-1-1000000000
χ11444444444-4-1-1-1-1-4-40000-4-4-111-1-1-11111000000004000000000000011-1-1000000000-4-4-4-4-4-4-4-441111440000441-1-1111-1-1-1-100000000-40000000000000-1-111000000000
χ1154-44-4-222-204-4-44004i−4i4i−4i00-2002-2200000000−2i2i−2i2i000000000000000000000000000-44-442-2-220-444-400−4i4i−4i4i00200-22-2000000002i−2i2i−2i000000000000000000000000000
χ1164-44-4-222-204-4-4400−4i4i−4i4i00-2002-22000000002i−2i2i−2i000000000000000000000000000-44-442-2-220-444-4004i−4i4i−4i00200-22-200000000−2i2i−2i2i000000000000000000000000000
χ1174-4-4444-4-40-11-110000004i−4i-1−5511-1−55−550000000000000000000000−ii−i5i5000000000-444-4-4-44401-11-1000000−4i4i15−5-1-115−55−50000000000000000000000i−ii5−i5000000000
χ1184-4-4444-4-40-11-110000004i−4i-15−511-15−55−50000000000000000000000−iii5−i5000000000-444-4-4-44401-11-1000000−4i4i1−55-1-11−55−550000000000000000000000i−i−i5i5000000000
χ1194-4-4444-4-40-11-11000000−4i4i-1−5511-1−55−550000000000000000000000i−ii5−i5000000000-444-4-4-44401-11-10000004i−4i15−5-1-115−55−50000000000000000000000−ii−i5i5000000000
χ1204-4-4444-4-40-11-11000000−4i4i-15−511-15−55−50000000000000000000000i−i−i5i5000000000-444-4-4-44401-11-10000004i−4i1−55-1-11−55−550000000000000000000000−iii5−i5000000000
χ1214-4-44-2-22204-44-4004i−4i−4i4i00-20022-200000000−2i2i2i−2i000000000000000000000000000-444-422-2-20-44-4400−4i4i4i−4i00200-2-22000000002i−2i−2i2i000000000000000000000000000
χ1224-4-44-2-22204-44-400−4i4i4i−4i00-20022-2000000002i−2i−2i2i000000000000000000000000000-444-422-2-20-44-44004i−4i−4i4i00200-2-2200000000−2i2i2i−2i000000000000000000000000000
χ1238888-4-4-4-48-2-2-2-2-4-40000001-2-2111111100000000000000000000000000000000000-8-8-8-84444-8222244000000-122-1-1-1-1-1-1-100000000000000000000000000000000000
χ1248888-4-4-4-4-8-2-2-2-244000000122111-1-1-1-100000000000000000000000000000000000-8-8-8-8444482222-4-4000000-1-2-2-1-1-1111100000000000000000000000000000000000
χ12588-8-88-88-80-2-22200000000-200-222000000000000000000000000000000000000000-8-888-88-88022-2-2000000002002-2-2000000000000000000000000000000000000000
χ12688-8-8-44-440-2-22243−430000001001-1-1−3−33300000000000000000000000000000000000-8-8884-44-4022-2-2−4343000000-100-11133−3−300000000000000000000000000000000000
χ12788-8-8-44-440-2-222−43430000001001-1-133−3−300000000000000000000000000000000000-8-8884-44-4022-2-243−43000000-100-111−3−33300000000000000000000000000000000000
χ1288-88-88-8-880-222-200000000-2002-22000000000000000000000000000000000000000-88-88-888-802-2-2200000000200-22-2000000000000000000000000000000000000000
χ1298-88-8-444-40-222-200000000100-11-1−151515−1500000000000000000000000000000000000-88-884-4-4402-2-2200000000-1001-1115−15−151500000000000000000000000000000000000
χ1308-88-8-444-40-222-200000000100-11-115−15−151500000000000000000000000000000000000-88-884-4-4402-2-2200000000-1001-11−151515−1500000000000000000000000000000000000
χ1318-8-88-4-4440-22-22000000001−2525-1-115−55−500000000000000000000000000000000000-888-844-4-402-22-200000000-125−2511-1−55−5500000000000000000000000000000000000
χ1328-8-88-4-4440-22-2200000000125−25-1-11−55−5500000000000000000000000000000000000-888-844-4-402-22-200000000-1−252511-15−55−500000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.