Finite Group Databasebeta

← Group #12121117

Character table — Group #12121117

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888101010101010101020202020202020202020202020202020404040404040
order1222222244444444444444445510101010101010101010101010104444444444202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020444444202020202020202020202020202020202020202020202020202020202020202020202020888888884444888888888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ7111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ8111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ911111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1011111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ1111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1211111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ1511111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ171-1-1-1111-1ii−i−iii−i−i11-1-11-1-1111-1-11111-1-1-1-1-1-111ii−i−i1-1i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1i−i1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-111-1-11-1i−ii−i
χ181-1-1-1111-1ii−i−iii−i−i11-1-11-1-1111-1-11111-1-1-1-1-1-111ii−i−i1-1i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1i−i1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-111−i−iii-1-111-1-111-11−ii−ii
χ191-1-1-1111-1ii−i−iii−i−i11-1-11-1-1111-1-11111-1-1-1-1-1-111−i−iii1-1i−ii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−ii-11-1111-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-111-1-1-11−ii−ii
χ201-1-1-1111-1ii−i−iii−i−i11-1-11-1-1111-1-11111-1-1-1-1-1-111−i−iii1-1i−ii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−ii-11-1111-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-1−i−iii-1-111-1-1111-1i−ii−i
χ211-1-1-1111-1ii−i−i−i−iii-1-1111-1-1111-1-11111-1-1-1-1-1-111ii−i−i-11i−i−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−ii1-1-11-1-111ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii11-1-1-1-111-11i−i−ii
χ221-1-1-1111-1ii−i−i−i−iii-1-1111-1-1111-1-11111-1-1-1-1-1-111ii−i−i-11i−i−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−ii1-1-11-1-111ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111ii−i−i-1-11111-1-11-1−iii−i
χ231-1-1-1111-1ii−i−i−i−iii-1-1111-1-1111-1-11111-1-1-1-1-1-111−i−iii-11i−i−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111i−i-111-1-1-111ii−i−i−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-111−i−iii11-1-1-1-1111-1−iii−i
χ241-1-1-1111-1ii−i−i−i−iii-1-1111-1-1111-1-11111-1-1-1-1-1-111−i−iii-11i−i−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111i−i-111-1-1-111ii−i−i−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1ii−i−i-1-11111-1-1-11i−i−ii
χ251-1-1-1111-1−i−iiiii−i−i-1-1111-1-1111-1-11111-1-1-1-1-1-111ii−i−i-11−iii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−ii-111-1-1-111−i−iiiii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1−i−iii-1-11111-1-1-11−iii−i
χ261-1-1-1111-1−i−iiiii−i−i-1-1111-1-1111-1-11111-1-1-1-1-1-111ii−i−i-11−iii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−ii-111-1-1-111−i−iiiii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i11-1-1-1-1111-1i−i−ii
χ271-1-1-1111-1−i−iiiii−i−i-1-1111-1-1111-1-11111-1-1-1-1-1-111−i−iii-11−iii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111i−i1-1-11-1-111−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111−i−iii-1-11111-1-11-1i−i−ii
χ281-1-1-1111-1−i−iiiii−i−i-1-1111-1-1111-1-11111-1-1-1-1-1-111−i−iii-11−iii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111i−i1-1-11-1-111−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i11-1-1-1-111-11−iii−i
χ291-1-1-1111-1−i−iii−i−iii11-1-11-1-1111-1-11111-1-1-1-1-1-111ii−i−i1-1−ii−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1i−i-11-1111-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-1ii−i−i-1-111-1-1111-1−ii−ii
χ301-1-1-1111-1−i−iii−i−iii11-1-11-1-1111-1-11111-1-1-1-1-1-111ii−i−i1-1−ii−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1i−i-11-1111-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-111-1-1-11i−ii−i
χ311-1-1-1111-1−i−iii−i−iii11-1-11-1-1111-1-11111-1-1-1-1-1-111−i−iii1-1−ii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−ii1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-111ii−i−i-1-111-1-111-11i−ii−i
χ321-1-1-1111-1−i−iii−i−iii11-1-11-1-1111-1-11111-1-1-1-1-1-111−i−iii1-1−ii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−ii1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-111-1-11-1−ii−ii
χ33222222222222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ34222222222222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222222−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+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+521−521−521+521+521−521−521+521+52000000000000000000000000000000
χ35222222222222222222222222−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000
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χ1614-4-44-44-440000000000004-44-4−1−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+51+51−5−4i4i4i−4i000000−1−51+5−1+51−51+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1624-4-44-44-44000000000000-44-4444-4-44-44-4-44-4444-4-40000000000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1634-4-44-44-44000000000000-44-44−1+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−51−51+500000000001−5−1+51+5−1−5−1+51−5−1−51+5−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-44-44-44000000000000-44-44−1+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−51−51+500000000001−5−1+51+5−1−5−1+51−5−1−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1654-4-44-44-44000000000000-44-44−1−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+51+51−500000000001+5−1−51−5−1+5−1−51+5−1+51−52ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1664-4-44-44-44000000000000-44-44−1−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+51+51−500000000001+5−1−51−5−1+5−1−51+5−1+51−5−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16788-88-8-88-80000000000000000−2+25−2−25−2+25−2−252−25−2+252+25−2−252−252−252+252+25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16888-88-8-88-80000000000000000−2−25−2+25−2−25−2+252+25−2−252−25−2+252+252+252−252−25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1698-88-8-8-8880000000000000000−2+25−2−252−252+252−25−2+252+25−2−25−2+25−2+25−2−25−2−252−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1708-88-8-8-8880000000000000000−2−25−2+252+252−252+25−2−252−25−2+25−2−25−2−25−2+25−2+252+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.