Finite Group Databasebeta

← Group #14416752

Character table — Group #14416752

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222444444444444444444444444444444444444444444445555888888888888888888888888888888881010101010101010101010101010121212121212121220202020202020202020202020202020242424242424242424242424242424246060606060606060
order1222223444455666666610101010101044441010101012121212121212121212121215152020202020202020303030303030303030303030303044442020202020202020606060606060606060606060606060606060606060606060444444121212121212121222448888222266666666121212121010101020202020404040404040404044448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-11-1-11111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ101111-1-11-1-11111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ111111-1-11-1-11111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ121111-1-11-1-11111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111-1-11-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111-1-11-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ151111-1-11-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ161111-1-11-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1711-1-11-111-1-111111-1-11-1-1-1-1-1-111i−ii−i11-1-11-11-1ii−i−iii−i−i111111-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−iii−i−iii−i−i1-11-1i−ii−i1-11-111-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1
χ1811-1-11-111-1-111111-1-11-1-1-1-1-1-111i−ii−i11-1-11-11-1ii−i−iii−i−i111111-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−iii−i−iii−i−i-11-11−ii−ii1-11-111-1-111-1-1i−ii−i-1-111-1-111−i−iii−i−iii−ii−ii-11-11
χ1911-1-11-111-1-111111-1-11-1-1-1-1-1-111i−ii−i11-1-11-11-1ii−i−iii−i−i111111-1-1-1-1-1-11111-1-1-1-111-1-1−i−iiiii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−i−iii−i−iii1-11-1i−ii−i-11-11-1-111-1-111−ii−ii11-1-111-1-1ii−i−iii−i−i−ii−ii-11-11
χ2011-1-11-111-1-111111-1-11-1-1-1-1-1-111i−ii−i11-1-11-11-1ii−i−iii−i−i111111-1-1-1-1-1-11111-1-1-1-111-1-1−i−iiiii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−i−iii−i−iii-11-11−ii−ii-11-11-1-111-1-111−ii−ii-1-111-1-111−i−iii−i−iiii−ii−i1-11-1
χ2111-1-11-111-1-111111-1-11-1-1-1-1-1-111−ii−ii11-1-11-11-1−i−iii−i−iii111111-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−i−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−iii−i−iii−i−i1-11-1−ii−ii-11-11-1-111-1-111i−ii−i11-1-111-1-1−i−iii−i−iiii−ii−i-11-11
χ2211-1-11-111-1-111111-1-11-1-1-1-1-1-111−ii−ii11-1-11-11-1−i−iii−i−iii111111-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−i−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−iii−i−iii−i−i-11-11i−ii−i-11-11-1-111-1-111i−ii−i-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1
χ2311-1-11-111-1-111111-1-11-1-1-1-1-1-111−ii−ii11-1-11-11-1−i−iii−i−iii111111-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii1-11-1−ii−ii1-11-111-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii−ii1-11-1
χ2411-1-11-111-1-111111-1-11-1-1-1-1-1-111−ii−ii11-1-11-11-1−i−iii−i−iii111111-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii-11-11i−ii−i1-11-111-1-111-1-1−ii−ii-1-111-1-111ii−i−iii−i−ii−ii−i-11-11
χ2511-1-1-111-11-1111-1-1111-1-1-1-1-1-111i−i−ii-1-1111-1-11ii−i−i−i−iii1111-1-111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii−iiii−i−i−i−iii1-1-11i−i−ii1-1-1111-1-1-1-111i−i−ii11-1-1-1-111ii−i−i−i−iii−iii−i1-1-11
χ2611-1-1-111-11-1111-1-1111-1-1-1-1-1-111i−i−ii-1-1111-1-11ii−i−i−i−iii1111-1-111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii−iiii−i−i−i−iii-111-1−iii−i1-1-1111-1-1-1-111i−i−ii-1-11111-1-1−i−iiiii−i−ii−i−ii-111-1
χ2711-1-1-111-11-1111-1-1111-1-1-1-1-1-111i−i−ii-1-1111-1-11ii−i−i−i−iii1111-1-111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−i−iiiii−i−i1-1-11i−i−ii-111-1-1-11111-1-1−iii−i11-1-1-1-111ii−i−i−i−iiii−i−ii-111-1
χ2811-1-1-111-11-1111-1-1111-1-1-1-1-1-111i−i−ii-1-1111-1-11ii−i−i−i−iii1111-1-111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−i−iiiii−i−i-111-1−iii−i-111-1-1-11111-1-1−iii−i-1-11111-1-1−i−iiiii−i−i−iii−i1-1-11
χ2911-1-1-111-11-1111-1-1111-1-1-1-1-1-111−iii−i-1-1111-1-11−i−iiiii−i−i1111-1-111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iiii−i−i−i−iii1-1-11−iii−i-111-1-1-11111-1-1i−i−ii11-1-1-1-111−i−iiiii−i−i−iii−i-111-1
χ3011-1-1-111-11-1111-1-1111-1-1-1-1-1-111−iii−i-1-1111-1-11−i−iiiii−i−i1111-1-111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iiii−i−i−i−iii-111-1i−i−ii-111-1-1-11111-1-1i−i−ii-1-11111-1-1ii−i−i−i−iiii−i−ii1-1-11
χ3111-1-1-111-11-1111-1-1111-1-1-1-1-1-111−iii−i-1-1111-1-11−i−iiiii−i−i1111-1-111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−i−iiiii−i−i1-1-11−iii−i1-1-1111-1-1-1-111−iii−i11-1-1-1-111−i−iiiii−i−ii−i−ii1-1-11
χ3211-1-1-111-11-1111-1-1111-1-1-1-1-1-111−iii−i-1-1111-1-11−i−iiiii−i−i1111-1-111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−i−iiiii−i−i-111-1i−i−ii1-1-1111-1-1-1-111−iii−i-1-11111-1-1ii−i−i−i−iii−iii−i-111-1
χ3322222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000222222220000000000000000−1−52−1+52−1−52−1+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
χ3422222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000-2-2-2-2-2-2-2-200000000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000
χ3522222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522222-2-2-2-2-2-2-2-2−1−52−1+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+5200001+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+521−521−52000000000000002222-2-2-2-20000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000
χ3622222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522222-2-2-2-2-2-2-2-2−1−52−1+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+5200001+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+521−521−5200000000000000-2-2-2-2222200000000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ3722222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000222222220000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ3822222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000-2-2-2-2-2-2-2-200000000000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000
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χ14444-4-4-44-2-44-44−1+5−1−522-2-2-2221−51+51−51+5−1+5−1−5−4i4i4i−4i1−51+5−1+5−1−5-222-22i2i−2i−2i−2i−2i2i2i1−521+52−1+5−1−51−51+5−1+5−1−51−51+5−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−5200002ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1−52−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.