Finite Group Databasebeta

← Group #12069167

Character table — Group #12069167

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222222222222222222244444444444444444444444444444444445555555588888888888888888888888888888888888888881010101010101010161616161616161620202020202020202020202020202020202040404040
order1222444422444444551010101010102020202020202020448888888888888888101010102020202020202020202020208888888888882020202040404040404040404040404040404040404040404040404040404040404040408888888840404040404040402222444488888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-11-1
χ1011111111-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-11-11
χ1111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-11-11
χ1211111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1-1-11-11-1
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-11-11
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111111-11-1
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-11-1
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-11-11
χ171111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−ii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1i−iii−i−iii−i−i1-1-11
χ181111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111−ii−i−iii−i−iii-111-1
χ191111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i-1-111-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1i−i−i−iii−i−iii-111-1
χ201111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii-1-1-1-11111−iiii−i−iii−i−i1-1-11
χ211111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111i−iii−i−iii−i−i-111-1
χ221111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−ii−i−iii−i−iii1-1-11
χ231111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii-1-111-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−ii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111i−i−i−iii−i−iii1-1-11
χ241111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−iiii−i−iii−i−i-111-1
χ251111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii11-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−ii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−iiii−i−i−i−iii11-1-1
χ261111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii11-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1i−i−i−iiiii−i−i-1-111
χ271111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii-1-11111-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−ii−i−iiiii−i−i-1-111
χ281111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1i−iii−i−i−i−iii11-1-1
χ291111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i11-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−iiii−i−i−i−iii-1-111
χ301111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i11-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111i−i−i−iiiii−i−i11-1-1
χ311111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i-1-11111-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−ii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−ii−i−iiiii−i−i11-1-1
χ321111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111i−iii−i−i−i−iii-1-111
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+52−1−52−1−52222222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+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+52−1−52−1−522222222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5200000000-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+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+52−1−52−1−5222-2-2-2-2-2-2-2-222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+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+52−1−52−1−5222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000002222−1+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+5200000000−1+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+52222222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ382222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+5200000000-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−520000000000000000000000
χ392222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−520000000000000000000000
χ402222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002222−1−52−1+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+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ41222222222222-2-2-2-22222222222222222-2-200000000000000002222-2-2-2-22222-2-2-2-2222222220000-2-2-2-200000000000000000000000000000000-2-2-2-222220000000000000000-2-2000000000000
χ42222222222222-2-2-2-22222222222222222-2-200000000000000002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000000022000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.