Finite Group Databasebeta

← Group #14411990

Character table — Group #14411990

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183
size112222222222222222222222222224444444444444444444444444444444444444444444444444444444444888888888888888888888888121212121212121212121212121212121212121212121212121212121212121212121212121212122020202020202020202020202020202020202020202020206060606060606060
order1222222222222344445566610101010101066666666661010101010101010101010101010101010101010121212121515202020202020202030303030303030303030303030303030303030303030303030303030303060606060606060604444444420202020202020202020202020202020202020202020202020202020202020202222444466666666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111-1-111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i111-1-1-11-1111111-1-1-1-1-1-111-1-1ii−i−iii−i−i
χ1011111-1-111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1111-11-1-1-1-1-1-1111111-1-111−i−iii−i−iii
χ1111111-1-111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii111-1-1-11-1111111-1-1-1-1-1-111-1-1−i−iii−i−iii
χ1211111-1-111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1111-11-1-1-1-1-1-1111111-1-111ii−i−iii−i−i
χ1311111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-11-1-1-111111-1-111-1-1-1-1-1-111ii−i−i−i−iii
χ1411111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11-1111-1-1-1-1-111-1-1111111-1-1−i−iiiii−i−i
χ1511111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-11-1-1-111111-1-111-1-1-1-1-1-111−i−iiiii−i−i
χ1611111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11-1111-1-1-1-1-111-1-1111111-1-1ii−i−i−i−iii
χ17111-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−ii−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-1111-1-1-111-1-1111111-1-1-1-1-1-1i−ii−ii−ii−i
χ18111-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−ii−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-1-1-1111-1-111-1-1-1-1-1-1111111−ii−ii−ii−ii
χ19111-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-1111-1-1-111-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii
χ20111-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1111-1-111-1-1-1-1-1-1111111i−ii−ii−ii−i
χ21111-1-111-1-111-1-1111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-1-11-11111-1-1-1-1-1-111-1-11111i−ii−i−ii−ii
χ22111-1-111-1-111-1-1111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1111-11-1-1-1-1111111-1-111-1-1-1-1−ii−iii−ii−i
χ23111-1-111-1-111-1-1111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−iii−ii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-1-1-11-11111-1-1-1-1-1-111-1-11111−ii−iii−ii−i
χ24111-1-111-1-111-1-1111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−iii−ii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1111-11-1-1-1-1111111-1-111-1-1-1-1i−ii−i−ii−ii
χ25111-1-1-1-11111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-1111-1-111-1-11
χ26111-1-1-1-11111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-1-1-111-1-11111-1-111-1-1-111-1-111-1
χ27111-1-1-1-11111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-111-111-1-111-1
χ28111-1-1-1-11111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-11-1-111-1-11
χ29111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ30111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-111-11-1-11
χ31111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-111-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ32111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-11-1-11111-1-111-1-1-1-1111-1-11-111-1
χ33222222222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000000000000000000000000000
χ34222222222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ35222222222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5200000000000000000000000000000000
χ36222222222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.