Finite Group Databasebeta

← Group #14299747

Character table — Group #14299747

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222222222222222244444444444444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212121220202020202020202020202020202020202020202020202024242424242424242424120120120120
order1222223444455666101010101010202020202020202022446666661010101012121212121212121515202020203030303030306060606060606060101010102020202030303030303030303030303060606060606060606060606044442020202020202020202020202020202044444444121212121212121212121212121212128840404040404040404488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ7111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1
χ8111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-111
χ911-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-111111-11-11-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i1-11111-1-1-1-1i−ii−i
χ1011-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-111111-11-11-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii1-11111-1-1-1-1−ii−ii
χ1111-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-111111-11-11-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111i−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i-11-1-1-1-11111−ii−ii
χ1211-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-111111-11-11-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii-11-1-1-1-11111i−ii−i
χ1311-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-11111-11-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii-11-1-1-1-11111−iii−i
χ1411-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-11111-11-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i-11-1-1-1-11111i−i−ii
χ1511-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-11111-11-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii1-11111-1-1-1-1i−i−ii
χ1611-1-1-1111-11-1111-1-1-1-1-1-111-1-1-1-11111-11-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i1-11111-1-1-1-1−iii−i
χ1722222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ1822222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000-2-21+521+521−521−521+521+521−521−520000
χ1922222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000-2-21+521+521−521−521+521+521−521−520000
χ2022222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ2122222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ2222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000000-2-21−521−521+521+521−521−521+521+520000
χ2322222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000-2-21−521−521+521+521−521−521+521+520000
χ2422222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ252222222-2-2-2-222222222222-2-2-2-2-2-2-2-200002200002222-2-2-2-2000022-2-2-2-2222222-2-2-2-2-2-2-2-200000000222200000000-2-2-2-2000000000000000000000000000000002-22-20000000022-2-222-2-200000000000000
χ262222222-2-2-2-222222222222-2-2-2-2-2-2-2-200002200002222-2-2-2-2000022-2-2-2-2222222-2-2-2-2-2-2-2-200000000222200000000-2-2-2-200000000000000000000000000000000-22-2200000000-2-222-2-22200000000000000
χ27222222-1222222-1-1-1222222222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ28222222-1222222-1-1-1222222222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2-2-2-2-2111111111111111100000000000000
χ29222222-1222222-1-1-122222222222222-2-2-2-2-1-111112222-1-1-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000
χ30222222-1222222-1-1-122222222222222-2-2-2-2-1-111112222-1-1-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-11111111100000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000
χ31222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-1−i3i3−i3i322221111−i3i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1−i3i3−i3i3−i3i3−i3i31111−i3i3−i3i3−i3i3−i3i30000000000000000000000002-22-2−i3i3−i3i3−i3i3−i3i3-1-111-1-11100000000000000
χ32222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-1−i3i3−i3i322221111−i3i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1−i3i3−i3i3−i3i3−i3i31111−i3i3−i3i3−i3i3−i3i3000000000000000000000000-22-22i3−i3i3−i3i3−i3i3−i311-1-111-1-100000000000000
χ33222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-1i3−i3i3−i322221111i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1i3−i3i3−i3i3−i3i3−i31111i3−i3i3−i3i3−i3i3−i30000000000000000000000002-22-2i3−i3i3−i3i3−i3i3−i3-1-111-1-11100000000000000
χ34222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-1i3−i3i3−i322221111i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1i3−i3i3−i3i3−i3i3−i31111i3−i3i3−i3i3−i3i3−i3000000000000000000000000-22-22−i3i3−i3i3−i3i3−i3i311-1-111-1-100000000000000
χ352222-2-222-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22-22-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000
χ362222-2-222-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22-22-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000000000000000000000
χ372222-2-222-2-22−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2-2-222221+521−521+521−522-22-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.