Finite Group Databasebeta

← Group #14322263

Character table — Group #14322263

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11111111222222222222222222222222222244444444444444444444444444444444666666668888888888888888888888888888888888881010101010101010121212121212121212121212121212121212121215151515151515152020202020202020202020202424242424242424303030304040404060606060
order122222223444455666666610101010101010101010101010104444121212121515202020202020202030303030303030303030303030304444444412121212202020202020202060606060606060606060606060606060606060606060606044444444222220202020202020202020202020202020444444444444121212121212121210101010101010104444121212122222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ1711-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11-11-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-111-1-111-1-111-1-1ii−i−ii−ii−i1-11-1
χ1811-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1111-11-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ii−ii-1-111-1-11111-1-111-1-1−i−iii−ii−ii-11-11
χ1911-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iiii−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-11-11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiii−ii−i11-1-111-1-1-1-111-1-111−i−iiii−ii−i-11-11
χ2011-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iiii−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-11-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−ii−ii-1-111-1-111-1-111-1-111ii−i−i−ii−ii1-11-1
χ2111-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−i−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-11-11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii11-1-111-1-1-1-111-1-111ii−i−i−ii−ii-11-11
χ2211-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−i−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-11-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiii−ii−i-1-111-1-111-1-111-1-111−i−iiii−ii−i1-11-1
χ2311-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-111-1-111-1-111-1-1−i−iii−ii−ii1-11-1
χ2411-1-111-1-1111-1-111-1-1-1111-11111-1-111-1-1-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1111-11-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−ii−ii−i-1-111-1-11111-1-111-1-1ii−i−ii−ii−i-11-11
χ2511-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111-1-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii11-1-1-1-11111-1-1-1-111−i−iiii−i−ii1-1-11
χ2611-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11-1-11iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−iii−i-1-11111-1-111-1-1-1-111ii−i−i−iii−i-111-1
χ2711-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iiiii−i−ii−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-111-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiii−i−ii11-1-1-1-111-1-11111-1-1ii−i−ii−i−ii-111-1
χ2811-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iiiii−i−ii−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−iii−i-1-11111-1-1-1-11111-1-1−i−iii−iii−i1-1-11
χ2911-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−i−i−iii−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-111-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i11-1-1-1-111-1-11111-1-1−i−iii−iii−i-111-1
χ3011-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1ii−i−i−i−iii−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−i−ii-1-11111-1-1-1-11111-1-1ii−i−ii−i−ii1-1-11
χ3111-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111-1-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−iii−i11-1-1-1-11111-1-1-1-111ii−i−i−iii−i1-1-11
χ3211-1-111-1-11-1-11111-1-1-1111-11111-1-111-1-1-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11-1-11−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−ii−i−ii-1-11111-1-111-1-1-1-111−i−iiii−i−ii-111-1
χ332222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ342222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000001+521−521+521−521+521−521+521−52000000000000
χ352222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222-2-2-2-21+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+521−521−521+521+521−521−521+521+521−521−5200000000-2-2-2-2−1−52−1−52−1+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+52000000000000000000001+521−521+521−521+521−521+521−52000000000000
χ362222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-2-2-2-21+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+521−521−521+521+521−521−521+521+521−521−520000000022221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.