Finite Group Databasebeta

← Group #12122188

Character table — Group #12122188

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11112222222222222222224444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888101010102020202020202020202040404040404040404040
order1222224444558888101010101010444444444444881010101020202020202020202020202020202020202020202020202040404040404040404444882020202020202020202020202020202020202020202020202020202020202020404040404040404040404040888822444444884444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111
χ411111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ51111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ9111111111111-1-1-1-111111111-1-11111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-1-1-111111111-1-11111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ11111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ12111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-111
χ13111111111111-1-1-1-1111111-1-11111-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ14111111111111-1-1-1-1111111-1-11111-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ15111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ16111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ171-11-11-1-1-1111111-1-1-1-1-1-111i−ii−ii−ii−ii−ii−i1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-11-11-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1iiii−i−i−i−iii−i−i1-11-1ii−i−ii−ii−ii−i1-11-11-1
χ181-11-11-1-1-1111111-1-1-1-1-1-111i−ii−ii−ii−ii−ii−i1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-11-11-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1iiii−i−i−i−i−i−iii-11-11−i−iii−ii−ii−ii-11-11-11
χ191-11-11-1-1-1111111-1-1-1-1-1-111i−ii−i−iii−ii−i−ii1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-1-11-11−iiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−i−i−iiiiiii−i−i-11-11ii−i−ii−i−ii−ii-111-11-1
χ201-11-11-1-1-1111111-1-1-1-1-1-111i−ii−i−iii−ii−i−ii1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-1-11-11−iiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−i−i−iiiii−i−iii1-11-1−i−iii−iii−ii−i1-1-11-11
χ211-11-11-1-1-1111111-1-1-1-1-1-111−ii−iii−i−ii−iii−i1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1-11-11i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1iiii−i−i−i−iii−i−i1-11-1ii−i−ii−i−ii−ii1-1-11-11
χ221-11-11-1-1-1111111-1-1-1-1-1-111−ii−iii−i−ii−iii−i1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1-11-11i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1iiii−i−i−i−i−i−iii-11-11−i−iii−iii−ii−i-111-11-1
χ231-11-11-1-1-1111111-1-1-1-1-1-111−ii−ii−ii−ii−ii−ii1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-11-11-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−i−i−iiiiiii−i−i-11-11ii−i−ii−ii−ii−i-11-11-11
χ241-11-11-1-1-1111111-1-1-1-1-1-111−ii−ii−ii−ii−ii−ii1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-11-11-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−iii1-11-1−i−iii−ii−ii−ii1-11-11-1
χ251-11-11-1-1-11111-1-111-1-1-1-111i−i−iii−ii−i−iii−i-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-111111-1-11−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiii−i−i1-11-1−i−iiii−ii−i−ii-111-1-11
χ261-11-11-1-1-11111-1-111-1-1-1-111i−i−iii−ii−i−iii−i-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-111111-1-11−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiii−i−iii-11-11ii−i−i−ii−iii−i1-1-111-1
χ271-11-11-1-1-11111-1-111-1-1-1-111i−i−ii−iii−i−ii−ii-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-11111-111-1i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111iiii−i−i−i−iii−i−i-11-11−i−iiii−i−iii−i1-11-1-11
χ281-11-11-1-1-11111-1-111-1-1-1-111i−i−ii−iii−i−ii−ii-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-11111-111-1i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111iiii−i−i−i−i−i−iii1-11-1ii−i−i−iii−i−ii-11-111-1
χ291-11-11-1-1-11111-1-111-1-1-1-111−iii−ii−i−iii−ii−i-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-11111-111-1−ii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i1-11-1−i−iiii−i−iii−i-11-111-1
χ301-11-11-1-1-11111-1-111-1-1-1-111−iii−ii−i−iii−ii−i-1111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-11111-111-1−ii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111−i−i−i−iiiii−i−iii-11-11ii−i−i−iii−i−ii1-11-1-11
χ311-11-11-1-1-11111-1-111-1-1-1-111−iii−i−ii−iii−i−ii-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-111111-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−iii−i−i-11-11−i−iiii−ii−i−ii1-1-111-1
χ321-11-11-1-1-11111-1-111-1-1-1-111−iii−i−ii−iii−i−ii-1111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-111111-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−iii1-11-1ii−i−i−ii−iii−i-111-1-11
χ332222222222−1+52−1−522222−1+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+52−1−52−1−52222222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ342222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−522222-2-22222-2-222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52000000000000000000000000
χ352222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2-2-22222−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2221−521−521+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+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
χ362222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-2-2-2-222−1+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+52−1−52−1−522222-2-21−521−521+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+52−1−521−521−521+521+521−521−521+521+52000000000000000000000000
χ372222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-22222-2-222-2-2−1+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+52−1−52−1+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+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+52000000000000000000000000
χ382222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521+521+52-2-22222−1+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+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ392222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-22222-2-2−1+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+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-222-2-21−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+52000000000000000000000000
χ402222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-222-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521+521+5222-2-2221−521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
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χ14288-8-8000000−2−25−2+25−4242−4242−2−252+25−2+252−252+252−25000000000000000000000000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88000000−2+25−2−2542−42−42422−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88000000−2+25−2−25−424242−422−25−2+252+25−2−252−252+250000000000000000000000000000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-8-88000000−2−25−2+2542−42−42422+25−2−252−25−2+252+252−250000000000000000000000000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-8-88000000−2−25−2+25−424242−422+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000

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