Finite Group Databasebeta

← Group #14412927

Character table — Group #14412927

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222222224444444444444444444444444444444444444444444444444444666666668888888888888888888888888888101010101212121212121212121212121212121212121212121212121212121212121212121212122020202020202020202020202020404040406060606060606060
order1244222344455666101012121212202020206688881010101010101212151520202020202030303030303040404040404040404040404040404040606060606060606022224444242424243030303060606060120120120120120120120120120120120120120120120120444488881010101010101010202020202020202040404040404040404040404040404040224444121212121212121266121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ91111-1-1111-1-111-1-1111-1-1111111-1111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11-11-11-11-111-1-1
χ101111-1-1111-1-111-1-1111-1-1111111-1111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-11-11-11-11-1-111
χ111111-1-1111-1-111-1-1111-1-1111111-1111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-11-11-1-11-11-1-111
χ121111-1-1111-1-111-1-1111-1-1111111-1111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-11-111-11-111-1-1
χ131111-1-1111-1-111-1-1111-1-1111111-11-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-1-1-1-11-11-11-1111-1-1
χ141111-1-1111-1-111-1-1111-1-1111111-11-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111111-11-11-11-1-1-111
χ151111-1-1111-1-111-1-1111-1-1111111-11-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-11-111-11-1-1-111
χ161111-1-1111-1-111-1-1111-1-1111111-11-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111111-11-1-11-1111-1-1
χ1711-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1i−ii−i-1-111-1-111111111-1-1111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11-11-11-11-1i−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−ii−ii−i11-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−iii−i−iii−i−i11-1-11-1-11i−ii−i
χ1811-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1i−ii−i-1-111-1-111111111-1-1111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11-11-11-11-1i−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iiii−ii−i11-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−ii−i−iii−i−iii-1-111-111-1−ii−ii
χ1911-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1i−ii−i-1-111-1-111111111-1-1111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-11-11-11-11i−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−i−ii−ii-1-111-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1i−iii−i−iii−i−i11-1-1-111-1−ii−ii
χ2011-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1i−ii−i-1-111-1-111111111-1-1111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-11-11-11-11i−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−ii−ii-1-111-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111−ii−i−iii−i−iii-1-1111-1-11i−ii−i
χ2111-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1−ii−ii-1-111-1-111111111-1-1111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11-11-11-11-1−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−i−ii−ii11-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111i−iii−i−iii−i−i-1-111-111-1i−ii−i
χ2211-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1−ii−ii-1-111-1-111111111-1-1111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11-11-11-11-1−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii−ii−ii11-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−i−iii−i−iii11-1-11-1-11−ii−ii
χ2311-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1−ii−ii-1-111-1-111111111-1-1111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-11-11-11-11−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−ii−ii−i-1-111-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111i−iii−i−iii−i−i-1-1111-1-11−ii−ii
χ2411-1-11-1-1111-11111111-1-1-1-1-1-1-1-1-1-1−ii−ii-1-111-1-111111111-1-1111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-11-11-11-11−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iiii−ii−i-1-111-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−i−iii−i−iii11-1-1-111-1i−ii−i
χ2511-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1i−i−ii-1-1-1-1111-11111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-111-1-11i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−ii−i−ii11-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11−iiii−i−i−i−iii1-1-1111-1-1i−i−ii
χ2611-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1i−i−ii-1-1-1-1111-11111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-111-1-11i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiii−i−ii11-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1i−i−i−iiiii−i−i-111-1-1-111−iii−i
χ2711-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1i−i−ii-1-1-1-1111-11111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-1-111-1i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−iii−i-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iiii−i−i−i−iii1-1-11-1-111−iii−i
χ2811-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1i−i−ii-1-1-1-1111-11111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-1-111-1i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iii−iii−i-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−i−iiiii−i−i-111-111-1-1i−i−ii
χ2911-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1−iii−i-1-1-1-1111-11111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1-111-1-11−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−iii−i11-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1−iiii−i−i−i−iii-111-1-1-111i−i−ii
χ3011-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1−iii−i-1-1-1-1111-11111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1-111-1-11−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii−iii−i11-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11i−i−i−iiiii−i−i1-1-1111-1-1−iii−i
χ3111-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1−iii−i-1-1-1-1111-11111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-1-111-1−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−ii−i−ii-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iiii−i−i−i−iii-111-111-1-1−iii−i
χ3211-1-1-11-111-1111-1-111111-1-1-1-1-1-11-1−iii−i-1-1-1-1111-11111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-1-111-1−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiii−i−ii-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−i−iiiii−i−i1-1-11-1-111i−i−ii
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+52−1−52−1−52−1+52−1+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+5200002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000
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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+520000-2-2-2-21+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+521−521−5200000000000000000000000000
χ3522222222222−1−52−1+52222−1−52−1+522222−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+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+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+5222222222-2-2-2-2−1−52−1+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+521−521−520000-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000
χ3622222222222−1−52−1+52222−1−52−1+522222−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+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+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+52-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000022221+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+5200000000000000000000000000
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χ1788-8−8i8i000-4000−2−25−2+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+50000000000000000−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1798-8−8i8i000-4000−2+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+5−1−50000000000000000−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1808-8−8i8i000-4000−2+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+5−1−500000000000000002ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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