Finite Group Databasebeta

← Group #14418145

Character table — Group #14418145

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222222222222244444444444444444444444444444444444488888888888888888888888888888888888810101010121212121212121220202020202020202020202020202424242424242424242424242424242430303030303030304040404060606060
order12442345568888101012122020202024242424246881010121515202024243030404040404040404060606060120120120120120120120120610101220202424303030303030404040406060606060601201201201201201201201201201201201204444244488882488881212121224242424101020202020202040404040404040402244888861224242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ511111111111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ711111111111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ811111111111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ91111111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ101111111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ111111111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ121111111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ131111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ1711-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i1-1-1i−i-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i1-1i−ii−i1-11-1i−i1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11-1-11-11-1ii−i−i1-1i−i-11i−i
χ1811-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i1-1-1i−i-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i-11−ii−ii-111-1i−i1-1ii−i−i11-1-1-1-111−i−iii−i−iii-1-111-11-11−i−iii1-1i−i1-1−ii
χ1911-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i1-1-1i−i-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−i−i−iii1-1i−ii−i1-1-11−ii-11−i−iii-1-11111-1-1ii−i−iii−i−i11-1-1-11-11−i−iii-11−ii1-1−ii
χ2011-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i1-1-1i−i-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111-1-1-1i−i-1-11111ii−i−i11-1-1-1-1ii−i−iiiii−i−i−i−i−i−iii-11−ii−ii-11-11−ii-11−i−iii-1-111-1-111−i−iii−i−iii-1-1111-11-1ii−i−i-11−ii-11i−i
χ2111-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i-11-1−ii-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiiiii−i−i1-1−iii−i-11-11−ii1-1ii−i−i11-1-111-1-1−i−iiiii−i−i-1-111-11-11−i−iii-11−ii-11i−i
χ2211-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i-11-1−ii-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiiiii−i−i-11i−i−ii1-1-11−ii1-1ii−i−i11-1-1-1-111ii−i−i−i−iii11-1-11-11-1ii−i−i-11−ii1-1−ii
χ2311-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i-11-1−ii-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiii−i−iii1-1−iii−i-111-1i−i-11−i−iii-1-11111-1-1−i−iiiii−i−i-1-1111-11-1ii−i−i1-1i−i1-1−ii
χ2411-1-1-111111ii−i−i11-1-1-1-1-1-1ii−i−i-11-1−ii-1-111111i−i11iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-1111−ii-1-1-1-1-1-1−i−iii111111ii−i−i−i−i−i−iiiii−i−iii-11i−i−ii1-11-1i−i-11−i−iii-1-111-1-111ii−i−i−i−iii11-1-1-11-11−i−iii1-1i−i-11i−i
χ2511-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii1-1-1−ii-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiiiii−i−i1-1−ii−ii1-1-11i−i-11ii−i−i-1-11111-1-1−i−iii−i−iii11-1-1-11-11ii−i−i-11i−i1-1i−i
χ2611-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii1-1-1−ii-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiiiii−i−i-11i−ii−i-11-11i−i-11ii−i−i-1-111-1-111ii−i−iii−i−i-1-1111-11-1−i−iii-11i−i-11−ii
χ2711-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii1-1-1−ii-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiii−i−iii1-1−ii−ii1-11-1−ii1-1−i−iii11-1-111-1-1−i−iii−i−iii11-1-11-11-1−i−iii1-1−ii-11−ii
χ2811-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii1-1-1−ii-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111-1-1-1−ii-1-11111−i−iii11-1-1-1-1−i−iii−i−i−i−iiiii−i−iii-11i−ii−i-111-1−ii1-1−i−iii11-1-1-1-111ii−i−iii−i−i-1-111-11-11ii−i−i1-1−ii1-1i−i
χ2911-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii-11-1i−i-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−iii−i−i1-1i−i−ii-111-1−ii-11ii−i−i-1-11111-1-1ii−i−i−i−iii-1-1111-11-1−i−iii1-1−ii1-1i−i
χ3011-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii-11-1i−i-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−iii−i−i-11−iii−i1-11-1−ii-11ii−i−i-1-111-1-111−i−iiiii−i−i11-1-1-11-11ii−i−i1-1−ii-11−ii
χ3111-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii-11-1i−i-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−i−i−iii1-1i−i−ii-11-11i−i1-1−i−iii11-1-111-1-1ii−i−i−i−iii-1-111-11-11ii−i−i-11i−i-11−ii
χ3211-1-1-111111−i−iii11-1-1-1-1-1-1−i−iii-11-1i−i-1-111111−ii11−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-1-1111i−i-1-1-1-1-1-1ii−i−i111111−i−iiiiiii−i−i−i−i−i−iii-11−iii−i1-1-11i−i1-1−i−iii11-1-1-1-111−i−iiiii−i−i11-1-11-11-1−i−iii-11i−i1-1i−i
χ332222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52222222222−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200002222222200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ342222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52222222222−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-2-2-2-2000000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ352222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+522222-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−52-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-222-2-200000000000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ362222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+522222-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−52-2-2−1−52−1+521+521+521−521−521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000-2-222-2-222000000000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ372222222−1−52−1+522-2-2-2-2−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52000022-2-2-2-22200000000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ382222222−1−52−1+522-2-2-2-2−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000-2-22222-2-2000000000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ392222222−1−52−1+522-2-2-2-2−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2-2-2222−1−52−1+522−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-21+521−52-21+521−5222−1−52−1+521+521+521−521−52−1−52−1+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+5200002222-2-2-2-200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.