Finite Group Databasebeta

← Group #14295352

Character table — Group #14295352

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222444444444444445555555566668888888888888888888810101010101010101010101010101010121220202020202020202020202020202020202020202020202020202424242424242424303030303030303030303030606060606060
order122222223666666644510101010101010121212124444444444441520202020303030303030306060606060606060888888881212121212121212442266668888242424242424242424242424242424242020202020202020444488888888448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
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
χ411111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-111-1-1-1-1-1-1ii−i−iiiiiiiii−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-1-1-1-1-1-1-1-111-1-1-1-1-1-1−i−iii−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-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−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-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−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
χ101111111111111111-1-111111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
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
χ121111111111111111-1-111111111-1-1-1-111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1
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-1-1-1-1-1-1-1-1-1-1111111−i−iiiiiii−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-1-1-1-1-1-1-1-1-1-1111111ii−i−i−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-1-1-1-1-1-1-1-111111111−i−iiiiiii−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-1-1-1-1-1-1-1-111111111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111iiii−i−i−i−i-1-1−i−iii
χ17111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-11111-1-1-1-1ii−i−i111-1-111-1-1-1-111111-1-1-1-111-1-111-1-111-1-1-1-111i−i1-111-1-11-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−i
χ18111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-11111-1-1-1-1ii−i−i111-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111i−i1-111-1-1-11-11-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−i−iiii−i−ii−ii
χ19111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-11111-1-1-1-1−i−iii111-1-111-1-1-1-111111-1-1-1-111-1-111-1-111-1-1-1-111−ii1-111-1-11-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii
χ20111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-11111-1-1-1-1−i−iii111-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111−ii1-111-1-1-11-11-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−i−iii−ii−i
χ21111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-1-1-1-1-11111ii−i−i111-1-111-1-1-1-111111-1-1-1-1ii−i−i−i−iii-1-11111-1-1i−i-11-1-111i−i−iiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−ii-111-1
χ22111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-1-1-1-1-11111ii−i−i111-1-111-1-1-1-111111-1-1-1-1−i−iiiii−i−i-1-11111-1-1i−i-11-1-111−iii−i−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii11-1-1-1-111−ii1-1-11
χ23111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-1-1-1-1-11111−i−iii111-1-111-1-1-1-111111-1-1-1-1ii−i−i−i−iii-1-11111-1-1−ii-11-1-111i−i−iiii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i11-1-1-1-111i−i1-1-11
χ24111-1-11-1-1111-1-1-1-111-1111-1-11-1-111-1-1-1-1-1-11111−i−iii111-1-111-1-1-1-111111-1-1-1-1−i−iiiii−i−i-1-11111-1-1−ii-11-1-111−iii−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1i−i-111-1
χ25111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-1111111-1-1-1-1ii−i−i1-1-11111-1-1-1-11-1-1-1-1111111-1-111-1-111-1-1-1-111−ii-11-1-111-11-1111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−iii−i−iii−i−i−ii−ii−ii
χ26111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-1111111-1-1-1-1ii−i−i1-1-11111-1-1-1-11-1-1-1-11111-1-111-1-11111-1-1-1-111−ii-11-1-1111-11-1-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iii−iii−ii−i
χ27111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-1111111-1-1-1-1−i−iii1-1-11111-1-1-1-11-1-1-1-1111111-1-111-1-111-1-1-1-111i−i-11-1-111-11-1111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii−i−iii−i−iiii−ii−ii−i
χ28111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-1111111-1-1-1-1−i−iii1-1-11111-1-1-1-11-1-1-1-11111-1-111-1-11111-1-1-1-111i−i-11-1-1111-11-1-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−ii−i−ii−ii
χ29111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-111-1-1-1-11111ii−i−i1-1-11111-1-1-1-11-1-1-1-11111ii−i−i−i−iii-1-11111-1-1−ii1-111-1-1−iii−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-1-11111-1-1i−i1-1-11
χ30111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-111-1-1-1-11111ii−i−i1-1-11111-1-1-1-11-1-1-1-11111−i−iiiii−i−i-1-11111-1-1−ii1-111-1-1i−i−ii−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iii11-1-1-1-111i−i-111-1
χ31111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-111-1-1-1-11111−i−iii1-1-11111-1-1-1-11-1-1-1-11111ii−i−i−i−iii-1-11111-1-1i−i1-111-1-1−iii−iii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i11-1-1-1-111−ii-111-1
χ32111-1-11-1-1111-1-1-1-11-11111-1-11-1-1-1-111-1-1-1-11111−i−iii1-1-11111-1-1-1-11-1-1-1-11111−i−iiiii−i−i-1-11111-1-1i−i1-111-1-1i−i−ii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1−ii1-1-11
χ3322222222-1-1-1-1-1-1-1-12222222222-1-1-1-1222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ3422222222-1-1-1-1-1-1-1-12222222222-1-1-1-1222222220000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10022-1-1-1-1-2-2-2-2111111111111111100000000000000000000000000
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−2i1111111100-2-211112i2i−2i−2i−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−2i2i2i2i2i1111111100-2-21111−2i−2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000
χ3722222222-1-1-1-1-1-1-1-1-2-2222222221111222222220000-1-2-2-2-2-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-100-2-21111-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000
χ3822222222-1-1-1-1-1-1-1-1-2-2222222221111222222220000-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100-2-2111122221111-1-1-1-11111-1-1-1-100000000000000000000000000
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−2i111111110022-1-1-1-1−2i−2i2i2i−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−2i2i2i2i2i111111110022-1-1-1-12i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ41222-2-22-2-2-1-1-11111-12-2222-2-22-2-2-1-1112222-2-2-2-20000-122-2-2-1-11111-1-1-1-1-1111122-2-222-2-2-1-11111-1-1002-2-1-1112-22-2-1-111-1-111-1-111-1-11100000000000000000000000000
χ42222-2-22-2-2-1-1-11111-12-2222-2-22-2-2-1-1112222-2-2-2-20000-122-2-2-1-11111-1-1-1-1-11111-2-222-2-222-1-11111-1-1002-2-1-111-22-2211-1-111-1-111-1-111-1-100000000000000000000000000
χ43222-2-22-2-2-1-1-11111-12-2222-2-22-2-2-1-111-2-2-2-222220000-122-2-2-1-11111-1-1-1-1-111112i2i−2i−2i−2i−2i2i2i11-1-1-1-11100-2211-1-12i−2i−2i2i−i−iii−i−iiiii−i−iii−i−i00000000000000000000000000
χ44222-2-22-2-2-1-1-11111-12-2222-2-22-2-2-1-111-2-2-2-222220000-122-2-2-1-11111-1-1-1-1-11111−2i−2i2i2i2i2i−2i−2i11-1-1-1-11100-2211-1-1−2i2i2i−2iii−i−iii−i−i−i−iii−i−iii00000000000000000000000000
χ45222-2-22-2-2-1-1-11111-1-22222-2-22-2-211-1-12222-2-2-2-20000-1-2-222-1-11111-11111-1-1-1-122-2-222-2-2-1-11111-1-100-2211-1-1-22-22-1-11111-1-1-1-11111-1-100000000000000000000000000
χ46222-2-22-2-2-1-1-11111-1-22222-2-22-2-211-1-12222-2-2-2-20000-1-2-222-1-11111-11111-1-1-1-1-2-222-2-222-1-11111-1-100-2211-1-12-22-211-1-1-1-11111-1-1-1-11100000000000000000000000000
χ47222-2-22-2-2-1-1-11111-1-22222-2-22-2-211-1-1-2-2-2-222220000-1-2-222-1-11111-11111-1-1-1-12i2i−2i−2i−2i−2i2i2i11-1-1-1-111002-2-1-111−2i2i2i−2i−i−iiiii−i−iii−i−i−i−iii00000000000000000000000000
χ48222-2-22-2-2-1-1-11111-1-22222-2-22-2-211-1-1-2-2-2-222220000-1-2-222-1-11111-11111-1-1-1-1−2i−2i2i2i2i2i−2i−2i11-1-1-1-111002-2-1-1112i−2i−2i2iii−i−i−i−iii−i−iiiii−i−i00000000000000000000000000
χ4922-222-2-2-222-222-2-2-20022-2-2-2-22200002i−2i2i−2i2i2i−2i−2i0000200002-222-2-2-200000000000000002i−2i2i2i−2i−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
χ5022-222-2-2-222-222-2-2-20022-2-2-2-22200002i−2i2i−2i2i2i−2i−2i0000200002-222-2-2-200000000000000002i−2i2i2i−2i−2i2i−2i0000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
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χ116888-8-88-8-8-4-4-44444-4-88-2-2-222-22244-4-4000000000000122-2-211-1-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000
χ11788-888-8-8-888-888-8-8-800-2-22222-2-20000000000000000-20000-22-2-2222000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-888-8-8-8-4-44-4-444400-2-22222-2-20000000000000000100001-111-1-1-1−151515−15−151515−150000000000000000000000000000000000000000000000000000000000000000000000
χ11988-888-8-8-8-4-44-4-444400-2-22222-2-20000000000000000100001-111-1-1-115−15−151515−15−15150000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-8-88888-8-8-888-800-2-22-2-22220000000000000000-20000-2222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-8-888-4-4444-4-4400-2-22-2-22220000000000000000100001-1-1-111-1−151515−1515−15−15150000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-8-888-4-4444-4-4400-2-22-2-22220000000000000000100001-1-1-111-115−15−1515−151515−150000000000000000000000000000000000000000000000000000000000000000000000
χ1238-888-8-88-8-44-4-44-44400-22-2-222-2200000000000000001−2i52i5−2i52i5-111-11-1-1i5−i5i5−i5i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000000000
χ1248-888-8-88-8-44-4-44-44400-22-2-222-22000000000000000012i5−2i52i5−2i5-111-11-1-1−i5i5−i5i5−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-8-88-44-44-44-4400-22-22-222-200000000000000001−2i52i52i5−2i5-11-11-11-1i5−i5i5−i5−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-88-8-88-44-44-44-4400-22-22-222-2000000000000000012i5−2i5−2i52i5-11-11-11-1−i5i5−i5i5i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-88-888-8-88-8-88800-2222-2-2-220000000000000000-2000022-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-88-88-444-444-4-400-2222-2-2-22−4i34i3−4i34i300000000000010000-1-11-1-111i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-88-88-444-444-4-400-2222-2-2-224i3−4i34i3−4i300000000000010000-1-11-1-111−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-8-8888-88-8-8-888-8800-222-22-22-20000000000000000-20000222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-8-8888-8-4444-4-44-400-222-22-22-2−4i34i34i3−4i300000000000010000-1-1-111-11i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8-8888-8-4444-4-44-400-222-22-22-24i3−4i3−4i34i300000000000010000-1-1-111-11−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000000000000

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