Finite Group Databasebeta

← Group #14296439

Character table — Group #14296439

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222444444444444445555555566668888888888888888888810101010101010101010101010101010121220202020202020202020202020202020202020202020202020202424242424242424303030303030303030303030606060606060
order1222222236666666445101010101010101212121244444444444415202020203030303030303060606060606060608888888812121212121212124444888812121212242424242424242424242424242424242020202020202020444488888888448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-111-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-111-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii11−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i11ii−i−i
χ91111111111111111-1-111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ101111111111111111-1-111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111-1-111111111-1-1-1-111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ121111111111111111-1-111111111-1-1-1-111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ131111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-111−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ141111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-111ii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ151111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111−i−i−i−iiiii-1-1ii−i−i
χ161111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111ii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111iiii−i−i−i−i-1-1−i−iii
χ171-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i11-1-1-1-111ii−i−i1ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-11-1i−i1-11-1ii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-111-1-11-1i−ii−i
χ181-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i11-1-1-1-111ii−i−i1ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii−i−iii11-1-111-1-11-1i−i-11-11ii−i−i−i−iii-1-111−i−iii-1-111ii−i−i11-1-1ii−i−i-1-111-1-1111-1−ii−ii
χ191-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i11-1-1-1-111−i−iii1ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-1-11i−i1-11-1ii−i−iii−i−i11-1-1ii−i−i11-1-1−i−iii-1-111−i−iii-1-111-1-111-11−ii−ii
χ201-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i11-1-1-1-111−i−iii1ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii−i−iii11-1-111-1-1-11i−i-11-11ii−i−i−i−iii-1-111−i−iii-1-111−i−iii-1-111−i−iii11-1-111-1-1-11i−ii−i
χ211-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i-1-11111-1-1ii−i−i1ii−i−i111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-111-1-1111-1−ii−iii−i−i−iii11-1-1−i−iii-1-111ii−i−iii−i−i11-1-1−i−iii−i−iiiii−i−i-111-1-11
χ221-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i-1-11111-1-1ii−i−i1ii−i−i111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111-1-1111-1−iii−i−ii−i−iii-1-111ii−i−i11-1-1−i−iiiii−i−i11-1-1−i−iiiii−i−i−i−iii-11-111-1
χ231-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i-1-11111-1-1−i−iii1ii−i−i111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-111-1-111-11−ii−iii−i−i−iii11-1-1−i−iii-1-111ii−i−i−i−iii-1-111ii−i−iii−i−i−i−iii1-1-111-1
χ241-1-111-11-1111-1-1-11-1i−i111-1-1-11-1ii−i−i-1-11111-1-1−i−iii1ii−i−i111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111-1-111-11−iii−i−ii−i−iii-1-111ii−i−i11-1-1−i−iii−i−iii-1-111ii−i−i−i−iiiii−i−i1-11-1-11
χ251-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii11-1-1-1-111ii−i−i1−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i11-1-111-1-1-11−ii-11-11−i−iiiii−i−i-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i11-1-111-1-1-11−ii−ii
χ261-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii11-1-1-1-111ii−i−i1−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1-11−ii1-11-1−i−iii−i−iii11-1-1−i−iii11-1-1ii−i−i-1-111ii−i−i-1-111-1-111-11i−ii−i
χ271-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii11-1-1-1-111−i−iii1−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i11-1-111-1-11-1−ii-11-11−i−iiiii−i−i-1-111ii−i−i-1-111−i−iii11-1-1−i−iii-1-111-1-1111-1i−ii−i
χ281-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii11-1-1-1-111−i−iii1−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-11-1−ii1-11-1−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-111-1-11-1−ii−ii
χ291-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii-1-11111-1-1ii−i−i1−i−iii111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-111-1-111-11i−ii−i−iiii−i−i11-1-1ii−i−i-1-111−i−iiiii−i−i-1-111−i−iii−i−iiiii−i−i1-1-111-1
χ301-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii-1-11111-1-1ii−i−i1−i−iii111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111-1-111-11i−i−iii−iii−i−i-1-111−i−iii11-1-1ii−i−iii−i−i-1-111−i−iiiii−i−i−i−iii1-11-1-11
χ311-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii-1-11111-1-1−i−iii1−i−iii111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-111-1-1111-1i−ii−i−iiii−i−i11-1-1ii−i−i-1-111−i−iii−i−iii11-1-1ii−i−iii−i−i−i−iii-111-1-11
χ321-1-111-11-1111-1-1-11-1−ii111-1-1-11-1−i−iii-1-11111-1-1−i−iii1−i−iii111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111-1-1111-1i−i−iii−iii−i−i-1-111−i−iii11-1-1ii−i−i−i−iii11-1-1ii−i−i−i−iiiii−i−i-11-111-1
χ3322222222-1-1-1-1-1-1-1-12222222222-1-1-1-1222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ3422222222-1-1-1-1-1-1-1-12222222222-1-1-1-1222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-2-1-1-1-1111111111111111100000000000000000000000000
χ3522222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-2-2-2-2-2-2-2-20000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i1111111100-2-22i2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000
χ3622222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-2-2-2-2-2-2-2-20000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i1111111100-2-2−2i−2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000
χ3722222222-1-1-1-1-1-1-1-1-2-2222222221111222222220000-1-2-2-2-2-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-100-2-2-2-2-2-21111-1-1-1-11111-1-1-1-1111100000000000000000000000000
χ3822222222-1-1-1-1-1-1-1-1-2-2222222221111222222220000-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100-2-2222211111111-1-1-1-11111-1-1-1-100000000000000000000000000
χ3922222222-1-1-1-1-1-1-1-1-2-2222222221111-2-2-2-2-2-2-2-20000-1-2-2-2-2-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i111111110022−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000
χ4022222222-1-1-1-1-1-1-1-1-2-2222222221111-2-2-2-2-2-2-2-20000-1-2-2-2-2-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2i1111111100222i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ41222-22-2-2-22-2-222-22-20022-222-2-2-200002222-2-2-2-20000200002-2-222-2-2000000002-22-22-22-222-2-2-2-2220000000000002-22-200002-22-2000000000000000000000000000000
χ42222-22-2-2-22-2-222-22-20022-222-2-2-200002222-2-2-2-20000200002-2-222-2-200000000-22-22-22-2222-2-2-2-222000000000000-22-220000-22-22000000000000000000000000000000
χ43222-22-2-2-22-2-222-22-20022-222-2-2-20000-2-2-2-222220000200002-2-222-2-2000000002i−2i2i−2i−2i2i−2i2i-2-22222-2-20000000000002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000
χ44222-22-2-2-22-2-222-22-20022-222-2-2-20000-2-2-2-222220000200002-2-222-2-200000000−2i2i−2i2i2i−2i2i−2i-2-22222-2-2000000000000−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000
χ45222-22-2-2-2-111-1-11-110022-222-2-2-23−33−32222-2-2-2-20000-10000-111-1-11133−3−333−3−32-22-22-22-2-1-11111-1-1000000003−33−3-11-113−33−3-11-113−33−300000000000000000000000000
χ46222-22-2-2-2-111-1-11-110022-222-2-2-23−33−32222-2-2-2-20000-10000-111-1-11133−3−333−3−3-22-22-22-22-1-11111-1-1000000003−33−31-11-1−33−331-11-1−33−3300000000000000000000000000
χ47222-22-2-2-2-111-1-11-110022-222-2-2-23−33−3-2-2-2-222220000-10000-111-1-11133−3−333−3−32i−2i2i−2i−2i2i−2i2i11-1-1-1-11100000000−33−33−ii−iii3−i3i3−i3i−ii−i−i3i3−i3i300000000000000000000000000
χ48222-22-2-2-2-111-1-11-110022-222-2-2-23−33−3-2-2-2-222220000-10000-111-1-11133−3−333−3−3−2i2i−2i2i2i−2i2i−2i11-1-1-1-11100000000−33−33i−ii−i−i3i3−i3i3−ii−iii3−i3i3−i300000000000000000000000000
χ49222-22-2-2-2-111-1-11-110022-222-2-2-2−33−332222-2-2-2-20000-10000-111-1-111−3−333−3−3332-22-22-22-2-1-11111-1-100000000−33−33-11-11−33−33-11-11−33−3300000000000000000000000000
χ50222-22-2-2-2-111-1-11-110022-222-2-2-2−33−332222-2-2-2-20000-10000-111-1-111−3−333−3−333-22-22-22-22-1-11111-1-100000000−33−331-11-13−33−31-11-13−33−300000000000000000000000000
χ51222-22-2-2-2-111-1-11-110022-222-2-2-2−33−33-2-2-2-222220000-10000-111-1-111−3−333−3−3332i−2i2i−2i−2i2i−2i2i11-1-1-1-111000000003−33−3−ii−ii−i3i3−i3i3i−ii−ii3−i3i3−i300000000000000000000000000
χ52222-22-2-2-2-111-1-11-110022-222-2-2-2−33−33-2-2-2-222220000-10000-111-1-111−3−333−3−333−2i2i−2i2i2i−2i2i−2i11-1-1-1-111000000003−33−3i−ii−ii3−i3i3−i3−ii−ii−i3i3−i3i300000000000000000000000000
χ5322-22-22-2-222-22-2-2-22002-2-22-2-22200002i−2i2i−2i2i−2i2i−2i000020000-22-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000
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χ117888-88-8-8-8-444-4-44-4400-2-22-2-2222−4343−4343000000000000100001-1-111-1-133−3−333−3−30000000000000000000000000000000000000000000000000000000000000000000000
χ11888-88-88-8-888-88-8-8-8800-222-222-2-20000000000000000-200002-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-88-88-8-8-4-44-4444-400-222-222-2-2000000000000000010000-11-11-11-1−151515−15−151515−150000000000000000000000000000000000000000000000000000000000000000000000
χ12088-88-88-8-8-4-44-4444-400-222-222-2-2000000000000000010000-11-11-11-115−15−151515−15−15150000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-8-888-44-4-44-44400-22-2-22-22200000000000000001−2525−2525-1-111-1-115−55−55−55−50000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-8-888-44-4-44-44400-22-2-22-2220000000000000000125−2525−25-1-111-1-11−55−55−55−550000000000000000000000000000000000000000000000000000000000000000000000
χ1238-888-8-8-8888-8-888-8-800-2222-2-2-220000000000000000-200002-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-888-8-8-88-4-444-4-44400-2222-2-2-22000000000000000010000-11-1-11-11−i15i15i15−i15i15−i15−i15i150000000000000000000000000000000000000000000000000000000000000000000000
χ1258-888-8-8-88-4-444-4-44400-2222-2-2-22000000000000000010000-11-1-11-11i15−i15−i15i15−i15i15i15−i150000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-888-8-44-44-444-400-22-22-222-200000000000000001−2i52i52i5−2i5-1-11-111-1i5−i5i5−i5−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-888-8-44-44-444-400-22-22-222-2000000000000000012i5−2i5−2i52i5-1-11-111-1−i5i5−i5i5i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-888-88-8-4-4-4444-448i−8i-2-2-2222-22−4i−4i4i4i0000000000001−2i−2i2i2i111-1-1-1-1iiii−i−i−i−i0000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-888-88-8-4-4-4444-44−8i8i-2-2-2222-224i4i−4i−4i00000000000012i2i−2i−2i111-1-1-1-1−i−i−i−iiiii0000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-8-888-888-8-8-8-888800-2-2222-22-20000000000000000-20000-22222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-8-888-88-44444-4-4-400-2-2222-22-2−4i34i34i3−4i3000000000000100001-1-1-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8-888-88-44444-4-4-400-2-2222-22-24i3−4i3−4i34i3000000000000100001-1-1-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000000000000

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