Finite Group Databasebeta

← Group #12114780

Character table — Group #12114780

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888820202020202020202020202040404040404040404040
order1222222222224444551010101010101010101010101010222222444444441010101010101010101010101010101010101010101010102020202020202020202020202020202020202020202020202244441010101010101010101010102020202020202020202020202020202020202020202020204444888888884444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1
χ911111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111
χ1011111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ1111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1
χ1211111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ1311111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1411111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-111
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ171-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11-11-11-11-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iii−i−ii−ii−ii−ii−ii−i
χ181-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11-11-11-11-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−ii−ii−ii−ii−ii
χ191-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11-111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iii−i−i−iii−i−ii−ii−ii
χ201-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11-111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−iiii−i−iii−ii−ii−i
χ211-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111-11-11-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−i−i−iii−i−iiii−ii−ii−i−ii−ii
χ221-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111-11-11-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−ii−ii−iii−ii−i
χ231-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-11-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1ii−i−i−i−iii−i−iii−iii−i−iii−ii−i
χ241-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-11-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1−i−iiiii−i−iii−i−ii−i−iii−i−ii−ii
χ251-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11-1-11-11-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii−ii−iii−i−iii−i
χ261-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11-1-11-11-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1−i−iii−i−iiiii−i−ii−ii−i−iii−i−ii
χ271-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-111-11-1-11-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111ii−i−iii−i−i−i−iiii−i−ii−iii−i−ii
χ281-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-111-11-1-11-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111−i−iii−i−iiiii−i−i−iii−ii−i−iii−i
χ291-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-11-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−ii−iii−ii−i−ii
χ301-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-11-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiii−ii−i−ii−iii−i
χ311-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-111-11-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−ii−i−ii−ii−iii−i
χ321-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111-111-11-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1−i−iiiii−i−i−i−iii−iii−ii−ii−i−ii
χ332222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521+521+520000000000000000000000
χ352222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222222222−1+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+52−1−52−1−52-2-2-2-2-2-21−521−521+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+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000000000000
χ362222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-2-222-2-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-222221−521−521+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+52−1−52−1−520000000000000000000000
χ372222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+520000000000000000000000
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χ1474-4-44-4-4444-4-440000−1+5−1−51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−51−51+51−51+500000000000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000000000000000000000000000
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χ1524-4-44-4-444-444-40000−1+5−1−51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−51−51+51−51+5000000000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000000000000000000000000000
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χ1544-4-44-4-444-444-40000−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+51+51−51+51−5000000000000001+5−1−51−5−1+5−1−51+5−1+51−50000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000000000000000000000
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χ1578-88-88-88-800000000−2+25−2−252−25−2+25−2+252−252+25−2−25−2−252+252−252+25−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-88-88-88-800000000−2−25−2+252+25−2−25−2−252+252−25−2+25−2+252−252+252−25−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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