Finite Group Databasebeta

← Group #12070525

Character table — Group #12070525

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222224444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888101010102020202020202020202040404040404040404040
order1222444444445510101010101020202020202020202244888888888888202020202020202040404040404040404040404040404040248888101010101010101020202020202020204040404040404040404040404040404040404040404040404040404040404040224444888888882444888888
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
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111
χ511111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-11-1-111-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-111-1-1
χ101111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111
χ111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111
χ121111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-111-1-1-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111
χ171111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11-1i−ii−iii−i−i11-1-1i−ii−i1-1
χ181111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-11−ii−ii−i−iii-1-111−ii−ii-11
χ191111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−ii−i−i−iii−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11i−i-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-11-1i−ii−i−i−iii1-11-1i−i−ii-11
χ201111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−ii−i−i−iii−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11i−i-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111-11−ii−iiii−i−i-11-11−iii−i1-1
χ211111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−iiii−i−iii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11−ii-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-11-1−ii−iiii−i−i1-11-1−iii−i-11
χ221111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−iiii−i−iii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11−ii-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111-11i−ii−i−i−iii-11-11i−i−ii1-1
χ231111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-11-1−ii−ii−i−iii11-1-1−ii−ii1-1
χ241111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-11i−ii−iii−i−i-1-111i−ii−i-11
χ251111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111i−ii−iii−i−i−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1−ii-11-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-11-1i−ii−i−i−iii-11-11−iii−i-11
χ261111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111i−ii−iii−i−i−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1−ii-11-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-11−ii−iiii−i−i1-11-1i−i−ii1-1
χ271111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111i−ii−i−i−iiiii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111-1-11-1i−ii−iii−i−i-1-111−ii−ii1-1
χ281111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111i−ii−i−i−iiiii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-11−ii−ii−i−iii11-1-1i−ii−i-11
χ291111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−ii−iiii−i−i−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111-1-11-1−ii−ii−i−iii-1-111i−ii−i1-1
χ301111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−ii−iiii−i−i−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-11i−ii−iii−i−i11-1-1−ii−ii-11
χ311111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−ii−ii−i−iiiii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1i−i-11-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-11-1−ii−iiii−i−i-11-11i−i−ii-11
χ321111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−ii−ii−i−iiiii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1i−i-11-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-11i−ii−i−i−iii1-11-1−iii−i1-1
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-222222222−1+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+52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2-2-2-2-2-2-2-2-2−1+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+5222-2-222−1+52−1+52−1−52−1−52−1+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+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
χ37222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222222222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+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+52000000000000000000000000
χ38222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22222-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2221−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ39222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-22222-2-2-2-2−1+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+52-2-222221−521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ40222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-22222−1+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+522222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52000000000000000000000000
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χ1398-88-88i−8i−8i8i0000−2+25−2−252−25−2+252+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14−4ζ6−4ζ144ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.