Finite Group Databasebeta

← Group #14416772

Character table — Group #14416772

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222222222223333444444444444444444444444444466666666668888888888888888888888888810101010121212121212121212121212121212121212161616161616161620202020202020202020242424242424242430303030404040404040606060606060
order12223445566610101010101044444444881212151520202020303030303030404040404040404044202020202020202012121212202020202020202024246060606012012012012012012012012044442244882020202040404040404040406060606060606060222288121212121010101020202020224466662424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ51111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ11111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ171-11-11-11111-1-1-1-1-1-111ii−i−ii−ii−i1-11-11111-1-111-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i1-1-1-1111111-1-1-1-1i−ii−i1-11-1i−iii−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1i−iii−i−i11-1-111-1-11-11-11-11-1i−ii−ii−i1-1
χ181-11-11-11111-1-1-1-1-1-111ii−i−ii−ii−i1-11-11111-1-111-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i1-1-1-1111111-1-1-1-1−ii−ii1-11-1i−iii−i−iiiii−i−i−i−iii−i−iii−i−i-11-11−ii−i−iii11-1-111-1-1-11-11-11-11−ii−ii−ii-11
χ191-11-11-11111-1-1-1-1-1-111ii−i−ii−i−ii-111-11111-1-111-1-1-1-1-1-1-1-11111i−iiiii−i−i−i−ii−i−iiii−i−i−i−iii-11-1-111-1-1-1-11111i−ii−i-111-1−iiii−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11−iiii−i−i-1-11111-1-11-11-11-1-11−iii−i−ii-11
χ201-11-11-11111-1-1-1-1-1-111ii−i−ii−i−ii-111-11111-1-111-1-1-1-1-1-1-1-11111i−iiiii−i−i−i−ii−i−iiii−i−i−i−iii-11-1-111-1-1-1-11111−ii−ii-111-1−iiii−i−i−i−i−i−iiiiiii−i−i−i−iii-111-1i−i−i−iii-1-11111-1-1-11-11-111-1i−i−iii−i1-1
χ211-11-11-11111-1-1-1-1-1-111ii−i−i−iii−i-111-11111-1-111-1-1-1-1-1-1-1-11111i−iiiii−i−i−i−i−iii−i−i−iiiii−i−i-11-1-111-1-1-1-11111i−ii−i1-1-11−iiii−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1−iiii−i−i11-1-1-1-1111-11-1-111-1−ii−iii−i-11
χ221-11-11-11111-1-1-1-1-1-111ii−i−i−iii−i-111-11111-1-111-1-1-1-1-1-1-1-11111i−iiiii−i−i−i−i−iii−i−i−iiiii−i−i-11-1-111-1-1-1-11111−ii−ii1-1-11−iiii−i−i−i−i−i−iiiii−i−iiiii−i−i1-1-11i−i−i−iii11-1-1-1-111-11-111-1-11i−ii−i−ii1-1
χ231-11-11-11111-1-1-1-1-1-111ii−i−i−ii−ii1-11-11111-1-111-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii1-1-1-1111111-1-1-1-1i−ii−i-11-11i−iii−i−iiiii−i−i−i−i−i−iii−i−iii-11-11i−iii−i−i-1-111-1-1111-11-1-11-11i−i−ii−ii1-1
χ241-11-11-11111-1-1-1-1-1-111ii−i−i−ii−ii1-11-11111-1-111-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii1-1-1-1111111-1-1-1-1−ii−ii-11-11i−iii−i−iiiii−i−i−i−i−i−iii−i−iii1-11-1−ii−i−iii-1-111-1-111-11-111-11-1−iii−ii−i-11
χ251-11-11-11111-1-1-1-1-1-111−i−iiii−ii−i1-11-11111-1-111-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiiii−ii−iii−i−iii−i−i1-1-1-1111111-1-1-1-1i−ii−i-11-11−ii−i−iii−i−i−i−iiiiiii−i−iii−i−i1-11-1i−iii−i−i-1-111-1-111-11-111-11-1i−i−ii−ii-11
χ261-11-11-11111-1-1-1-1-1-111−i−iiii−ii−i1-11-11111-1-111-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiiii−ii−iii−i−iii−i−i1-1-1-1111111-1-1-1-1−ii−ii-11-11−ii−i−iii−i−i−i−iiiiiii−i−iii−i−i-11-11−ii−i−iii-1-111-1-1111-11-1-11-11−iii−ii−i1-1
χ271-11-11-11111-1-1-1-1-1-111−i−iiii−i−ii-111-11111-1-111-1-1-1-1-1-1-1-11111−ii−i−i−i−iiiiii−i−iiii−i−i−i−iii-11-1-111-1-1-1-11111i−ii−i1-1-11i−i−i−iiiiiii−i−i−i−iii−i−i−i−iii1-1-11−iiii−i−i11-1-1-1-111-11-111-1-11−ii−iii−i1-1
χ281-11-11-11111-1-1-1-1-1-111−i−iiii−i−ii-111-11111-1-111-1-1-1-1-1-1-1-11111−ii−i−i−i−iiiiii−i−iiii−i−i−i−iii-11-1-111-1-1-1-11111−ii−ii1-1-11i−i−i−iiiiiii−i−i−i−iii−i−i−i−iii-111-1i−i−i−iii11-1-1-1-1111-11-1-111-1i−ii−i−ii-11
χ291-11-11-11111-1-1-1-1-1-111−i−iii−iii−i-111-11111-1-111-1-1-1-1-1-1-1-11111−ii−i−i−i−iiiii−iii−i−i−iiiii−i−i-11-1-111-1-1-1-11111i−ii−i-111-1i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−i-111-1−iiii−i−i-1-11111-1-1-11-11-111-1−iii−i−ii1-1
χ301-11-11-11111-1-1-1-1-1-111−i−iii−iii−i-111-11111-1-111-1-1-1-1-1-1-1-11111−ii−i−i−i−iiiii−iii−i−i−iiiii−i−i-11-1-111-1-1-1-11111−ii−ii-111-1i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−i1-1-11i−i−i−iii-1-11111-1-11-11-11-1-11i−i−iii−i-11
χ311-11-11-11111-1-1-1-1-1-111−i−iii−ii−ii1-11-11111-1-111-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiii−ii−ii−i−iii−i−iii1-1-1-1111111-1-1-1-1i−ii−i1-11-1−ii−i−iii−i−i−i−iiiii−i−iii−i−iii-11-11i−iii−i−i11-1-111-1-1-11-11-11-11i−ii−ii−i-11
χ321-11-11-11111-1-1-1-1-1-111−i−iii−ii−ii1-11-11111-1-111-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiii−ii−ii−i−iii−i−iii1-1-1-1111111-1-1-1-1−ii−ii1-11-1−ii−i−iii−i−i−i−iiiii−i−iii−i−iii1-11-1−ii−i−iii11-1-111-1-11-11-11-11-1−ii−ii−ii1-1
χ332222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222222−1+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+52−1−52−1−5222−1+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+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+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+52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ342222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222-2-2-2-222−1+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−52−1+52−1−521−521+521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-222-2-2−1+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+5200000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ352222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-222-2-222−1+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521+521−521+52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ362222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-22222−1+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+52−1−52−1−5222−1+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+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-222−1+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+5200000000001−521+521−521+521−521+521−521+520000000000000000
χ372222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000001−521+521−521+521−521+521−521+520000000000000000
χ382222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2-2-222−1+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+52-2-21−521−521+521+521−521−521+521+5222-2-2−1+52−1−52−1+52−1−521−521+521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-2221−521+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+520000000000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ392222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222-2-222−1+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+52-2-21−521−521+521+521−521−521+521+52-2-2221−521+521−521+52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-222221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ402222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-22222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52-2-2-2-21−521+521−521+521−521+521−521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002222-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
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χ1488-8-88-400−2+25−2−2544-42−25−2+252+25−2−252−252+250000000000001−51+50000−1+5−1−5−1+51−5−1−51+5−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ390000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.