Finite Group Databasebeta

← Group #14480585

Character table — Group #14480585

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888121212121212121215151515202020202020202024242424242424242424242424242424303030303030404040404040404060606060
order1222223444455666101010101010444466101010101212121215152020202020202020303030303030303030303030303012121212202020202020202060606060606060606060606060606060606060606060606022224444222222224444101010101010101020202020202020202244446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-1
χ81111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
χ91111111-1-1-1-11111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111111-11-11-11-111-1-111-1-111-1-111-1-111-1-1-1-11-11-11-11-111-1-1
χ101111111-1-1-1-11111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-11-11-11-1111-1-111-1-111-1-111-1-1-1-11111-11-11-11-11-1-111
χ111111111-1-1-1-11111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-111111-11-11-11-11-1-111-1-111-1-111-1-11111-1-1-1-1-11-11-11-1111-1-1
χ121111111-1-1-1-11111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111111-11-11-11-1-1-111
χ131111111-1-1-1-111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-11-1-111
χ141111111-1-1-1-111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-111-1-11111-111-1-111-111-1-1
χ151111111-1-1-1-111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-11111-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-1-111-1-111-1-1-111
χ161111111-1-1-1-111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-11-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-1
χ171111-1-1111-1-1111111111111-11-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1111-1-1-1-111-11-1
χ181111-1-1111-1-1111111111111-11-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-11-11
χ191111-1-1111-1-1111111111111-11-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-11111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-11111-11-11-1
χ201111-1-1111-1-1111111111111-11-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-111-1-111111-1-1-1-11-11-11
χ211111-1-1111-1-111111111111-11-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1111111-11-1-11-11111-1-111-1-1-1-111-1-1-1-111-1-111-11-1-11-1-11-11
χ221111-1-1111-1-111111111111-11-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1-1-1-1-1-1-11-111-111111-1-111-1-1-1-111-1-111-1-111-1-11-111-111-11-1
χ231111-1-1111-1-111111111111-11-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-111111-1-11-111-11-1-1-1-111-1-11111-1-111-1-111-1-1-1-11-111-11-11-11
χ241111-1-1111-1-111111111111-11-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-11-1-1-1-111-11-1-11-1-1-1-1-111-1-11111-1-11111-1-11111-11-1-11-11-11-1
χ251111-1-11-1-111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-11-1-111111-111-11-1-111-1-11111-1-111-1-1-1-1-1-1-1-1111-111-11-1-11-1-11
χ261111-1-11-1-111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-11-1-1-1-1-1-1-11-1-11-11111-1-11111-1-111-1-1-1-11111-1-1-11-1-11-111-111-1
χ271111-1-11-1-111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11-1111111-11-1-11-111-1-111-1-1-1-111-1-11111-1-1-1-111-11-1-11-1111-1-11
χ281111-1-11-1-111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11-111-1-1-1-11-111-11-1-1-1-111-1-1-1-111-1-111111111-1-11-111-11-1-1-111-1
χ291111-1-11-1-11111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1111-111-1
χ301111-1-11-1-11111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11111-1-1-11-1-11
χ311111-1-11-1-11111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-11111-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111-1
χ321111-1-11-1-11111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-1-1-1-11111-1-11-1-1-1-11111-1-11
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+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+5222222222000000000000−1−52−1+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+52000000000000000000
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+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+52-2-2-2-2-2-2-2-20000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ3522222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5222-2-222-2-2000000000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ3622222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-222-2-2220000000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ3722222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+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+52−1−52−1−52−1+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+52−1−52−1−5222222222000000000000−1+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+52−1−52000000000000000000
χ3822222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+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+52−1−52−1−52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-20000000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ3922222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+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+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5222-2-222-2-2000000000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4022222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+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+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-222-2-2220000000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ412222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+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+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-22-22-2000000000000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000
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χ1478-8-8800-40000−2−25−2+254-442+252−25−2−25−2+252+252−25000000000000001+51−500000000−1−5−1+52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-8800-40000−2−25−2+254-442+252−25−2−25−2+252+252−25000000000000001+51−500000000−1−5−1+5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-8800-40000−2+25−2−254-442−252+25−2+25−2−252−252+25000000000000001−51+500000000−1+5−1−5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-8800-40000−2+25−2−254-442−252+25−2+25−2−252−252+25000000000000001−51+500000000−1+5−1−52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1).