Finite Group Databasebeta

← Group #14412935

Character table — Group #14412935

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222222222222244444444444444444444444444444444444488888888888888888888888888888888888810101010121212121212121220202020202020202020202020202424242424242424242424242424242430303030303030304040404060606060
order124422234445566610101212121220202020224466101010101010121215152020202020203030303030306060606060606060661010101012122020202030303030303030303030303060606060606060606060606044444444888844888812121212121212122020202020202020404040404040404022224444242424242244
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
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ91111-1-1111-1-111-1-1111-1-11111111-11-1-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-1111-1-111-1-1111-1-11111111-11-1-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-11-11
χ111111-1-1111-1-111-1-1111-1-11111111-11-1-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-11
χ121111-1-1111-1-111-1-1111-1-11111111-11-1-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111-11-1
χ131111-1-1111-1-111-1-1111-1-1111111-11-11-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11-11
χ141111-1-1111-1-111-1-1111-1-1111111-11-11-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-11-1
χ151111-1-1111-1-111-1-1111-1-1111111-11-11-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11-11-1
χ161111-1-1111-1-111-1-1111-1-1111111-11-11-11-1-1-1-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-11-11
χ1711-1-11-1-1111-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−ii−ii−ii−ii−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1i−ii−i1-1-11
χ1811-1-11-1-1111-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i−ii−ii−ii−iii−ii−ii−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-11-11-11i−ii−i-111-1
χ1911-1-11-1-1111-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iiii−ii−ii−ii−i−ii−ii−ii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-11-11-11−ii−ii-111-1
χ2011-1-11-1-1111-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−ii−ii−ii−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1−ii−ii1-1-11
χ2111-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−ii−ii−i−ii−iii−i−ii−iiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-11-11-1−ii−ii-111-1
χ2211-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−ii−iii−ii−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-11-11-11−ii−ii1-1-11
χ2311-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiii−ii−i−ii−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-11-11-11i−ii−i1-1-11
χ2411-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−ii−iii−ii−i−iii−ii−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-11-11-1i−ii−i-111-1
χ2511-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1-111-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111ii−i−ii−i−iii−i−ii−iii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-111-1-11i−i−ii11-1-1
χ2611-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1-111-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111ii−i−i−iii−i−iii−i−iii−i−iiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1i−i−ii-1-111
χ2711-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1-111-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−iiii−i−iii−i−iii−i−iii−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-111-1-111-1−iii−i-1-111
χ2811-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1-111-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−iii−iii−i−iii−ii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-111-1-11−iii−i11-1-1
χ2911-1-1-11-111-1111-1-111111-1-1-1-1-1-1-111-11-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1ii−i−ii−i−ii−iii−i−ii−iii−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11−iii−i-1-111
χ3011-1-1-11-111-1111-1-111111-1-1-1-1-1-1-111-11-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1ii−i−i−iii−ii−i−ii−ii−iii−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-111-1-111-1−iii−i11-1-1
χ3111-1-1-11-111-1111-1-111111-1-1-1-1-1-1-111-11-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−iiii−i−ii−iii−ii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-111-1-111-1i−i−ii11-1-1
χ3211-1-1-11-111-1111-1-111111-1-1-1-1-1-1-111-11-1-1-111-1-11-11111-1-111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−iii−iii−ii−i−iii−ii−i−ii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11i−i−ii-1-111
χ3322222222222−1−52−1+52222−1−52−1+522222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+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+5222−1−52−1+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+52−1−52−1−52−1+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
χ3422222222222−1−52−1+52222−1−52−1+522222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+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+5222−1−52−1+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+52−1−52−1−52−1+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
χ3522222222222−1−52−1+52222−1−52−1+522222−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+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+52-2-21+521−521+521−52-2-21+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+521+521+521−521−521+521+521−521−5200002222-2-2-2-200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ3622222222222−1−52−1+52222−1−52−1+522222−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+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+52-2-21+521−521+521−52-2-21+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+521+521+521−521−521+521+521−521−520000-2-2-2-22222000000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ3722222222222−1+52−1−52222−1+52−1−522222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1+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
χ3822222222222−1+52−1−52222−1+52−1−522222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1+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
χ3922222222222−1+52−1−52222−1+52−1−522222−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+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+52−1−52−1−52-2-21−521+521−521+52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+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
χ4022222222222−1+52−1−52222−1+52−1−522222−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+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+52−1−52−1−52-2-21−521+521−521+52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-2-2-22222000000000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
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χ1548-8−8i8i000-4000−2−25−2+254i3−4i342+252−2543−434i−4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47000000000000001+51−5000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-8−8i8i000-4000−2+25−2−25−4i34i342−252+25−43434i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59000000000000001−51+50000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-8−8i8i000-4000−2+25−2−254i3−4i342−252+2543−434i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59000000000000001−51+5000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.