Finite Group Databasebeta

← Group #14411998

Character table — Group #14411998

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size112222222222222222222444444444444444444444444444444444444444444444444444444666666668888888888888888888888888888121212121212121212121212121212121212121212121212121212121212121212121212202020202020202040404040404040406060606060606060
order1222234444556101010101010121222446661010101010101010101010101212121515202020202020202020202020202020203030303030306060606060606060222222226612123030303030303030303030306060606060606060606060602244101010101010101010101010101010101010101010101010202020202020202044444444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1111111111-1-11-11-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111-1-1-1-1111111111-1-11-11-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ11111111-1-1-1-1111111111-1-11-11-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111
χ12111111-1-1-1-1111111111-1-11-11-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1
χ13111111-1-1-1-1111111111-1-1-11-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111-1-1-1-1111111111-1-1-11-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ15111111-1-1-1-1111111111-1-1-11-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-1111111111-1-1-11-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17111-1-1111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−i
χ18111-1-1111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii
χ19111-1-1111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−ii−ii−ii−ii−ii−ii−i−ii−ii−ii−ii
χ20111-1-1111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−ii−ii−ii−ii−ii−ii−iii−ii−ii−ii−i
χ21111-1-1111-1-111111111111-111-11-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−ii−iii−ii−i−ii−iii−ii−i−ii−ii
χ22111-1-1111-1-111111111111-111-11-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iii−ii−i−ii−iii−ii−i−ii−iii−ii−i
χ23111-1-1111-1-111111111111-111-11-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−ii−i−ii−iii−ii−i−ii−ii−ii−iii−ii−i
χ24111-1-1111-1-111111111111-111-11-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−iii−ii−i−ii−iii−ii−ii−ii−i−ii−ii
χ25111-1-11-1-111111111111-1-111-1-11-1-1-1-1-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii
χ26111-1-11-1-111111111111-1-111-1-11-1-1-1-1-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i
χ27111-1-11-1-111111111111-1-111-1-11-1-1-1-1-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iii−i−iii−i−iii−i−ii−iii−i−iii−i
χ28111-1-11-1-111111111111-1-111-1-11-1-1-1-1-1-111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−iii−i−iii−i−iii−ii−i−iii−i−ii
χ29111-1-11-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−ii−i−ii−iii−i
χ30111-1-11-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii−iii−ii−i−ii
χ31111-1-11-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−ii−i−ii−iii−i−iii−ii−i−ii
χ32111-1-11-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−ii−iii−ii−i−iii−i−ii−iii−i
χ332222222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+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+52000000000000000000000000
χ342222222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000
χ352222222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52222−1−52−1+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+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000
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χ1708-8000-40000−2+25−2−254−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+2543−4300000000000000000000001−51+500000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1718-8000-40000−2+25−2−254−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+25−434300000000000000000000001−51+500000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.