Finite Group Databasebeta

← Group #12066365

Character table — Group #12066365

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222224444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888101010102020202020202020202040404040404040404040
order1222444444445510101010101020202020202020202444444488888888101010102020202020202020202020202020202020202020248888101010102020202020202020202020204040404040404040404040404040404040404040404040404040404040404040444422444488882244888888
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
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ51111111111111111111111111111111-1-1-1-111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111-1-1-1-111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ71111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111111111111111-1-1-11111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-11-111111-11-111-1-1-1-1
χ101111111111111111111111111111-1-1-11111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-11-11-1-11111
χ111111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-11-11-1-1-11111
χ121111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-111111-11-1111-1-1-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-1-11-1111-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111111-11-1-1-111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-11-11111-11-11-1-111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-11-11-111-1-111
χ171111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1ii−i−iii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-1-11ii−i−i1-1-11i−ii−ii−i
χ181111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1ii−i−iii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-11-111-1−i−iii-111-1−ii−ii−ii
χ191111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1−i−iii−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-1-11−i−iii1-1-11−ii−ii−ii
χ201111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1−i−iii−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-11-111-1ii−i−i-111-1i−ii−ii−i
χ211111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1ii−i−i−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-1-11−i−iii-111-1i−ii−i−ii
χ221111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1ii−i−i−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-11-111-1ii−i−i1-1-11−ii−iii−i
χ231111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1−i−iiiii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-1-11ii−i−i-111-1−ii−iii−i
χ241111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1−i−iiiii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-11-111-1−i−iii1-1-11i−ii−i−ii
χ251111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11ii−i−iii−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1-11−ii−ii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-111-11-1-1ii−i−i11-1-1i−i−ii−ii
χ261111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11ii−i−iii−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1-11−ii−ii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11-111−i−iii-1-111−iii−ii−i
χ271111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11−i−iii−i−iii-1-1-1-11111-1-1-1-111111111-1-1-1-1-11i−ii−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-111-11-1-1−i−iii11-1-1−iii−ii−i
χ281111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11−i−iii−i−iii-1-1-1-11111-1-1-1-111111111-1-1-1-1-11i−ii−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11-111ii−i−i-1-111i−i−ii−ii
χ291111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111ii−i−i−i−iii-1-1-1-11111-1-1-1-111111111-1-1-1-11-1−iii−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-111-11-1-1−i−iii-1-111i−i−iii−i
χ301111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111ii−i−i−i−iii-1-1-1-11111-1-1-1-111111111-1-1-1-11-1−iii−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11-111ii−i−i11-1-1−iii−i−ii
χ311111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111−i−iiiii−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-11-1i−i−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-111-11-1-1ii−i−i-1-111−iii−i−ii
χ321111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111−i−iiiii−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-11-1i−i−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11-111−i−iii11-1-1i−i−iii−i
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+52−1−52−1−5222-2-2-2-2−1+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+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+52−1−52−1−52222-2-2-2-222222-2-2-2-2−1+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+52−1−52−1−52-2-222-2-21−521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−52222-2-2-2-22-2-2-2-22222−1+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
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+52−1−52−1−52-2-2-22222-2222222221−521−521+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+52−1−52−1−52-2-2-2-2-2-21−521−521+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+52−1−52−1−521−521−521+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
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+52−1−52−1−52-2-2-22222-2-2-2-2-2-2-2-2-21−521−521+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+52−1−52−1−52-2-222221−521−521+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+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
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+52−1−52−1−52-2-2-2-2-2-2-2-22222-2-2-2-21−521−521+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+52−1−52−1−5222-2-222−1+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+52−1−52−1−521−521−521+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
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+52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-222221−521−521+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+52−1−52−1−522222-2-2−1+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+52−1+52−1+52−1−52−1−52−1+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
χ41222222222222−1−52−1+52−1−52−1−52−1−52−1+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
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χ1398-88-88i−8i−8i8i0000−2+25−2−252−25−2+252−252+25−2−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ144ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-88i−8i−8i8i0000−2−25−2+252+25−2−252+252−25−2+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ384ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8−8i8i8i−8i0000−2+25−2−252−25−2+252−252+25−2−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8−8i8i8i−8i0000−2−25−2+252+25−2−252+252−25−2+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1448-8-8888-8-80000−2−25−2+252+252+25−2−252−252−25−2+25−2−25−2−25−2+25−2+252+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-8-88-8-8880000−2+25−2−252−252−25−2+252+252+25−2−252−252−252+252+25−2+25−2+25−2−25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-8-88-8-8880000−2−25−2+252+252+25−2−252−252−25−2+252+252+252−252−25−2−25−2−25−2+25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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