Finite Group Databasebeta

← Group #14418151

Character table — Group #14418151

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888121212121212121220202020202020202424242424242424242424242424242430303030303030303030303040404040404040406060
order1244234556888810101212202020204468810101215152020242424243030303030304040404040404040606060606060606012122020202024244040404060606060606060601201201201201201201201201201201201201201201201202244888822448888101010102020202040404040404040402244444488886612122424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-11-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1
χ61111111111111111111111-1-11-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-11-11-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-11111
χ71111111111111111111111-1-11-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-11-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111
χ81111111111111111111111-1-11-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11111-11-11-1-111-1-1
χ91111111111-1-1-1-111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111-11-1-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-111-1-1
χ101111111111-1-1-1-111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-11-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-111
χ111111111111-1-1-1-111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11-11-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111
χ121111111111-1-1-1-111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-1
χ131111111111-1-1-1-111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ151111111111-1-1-1-111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ161111111111-1-1-1-111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1711-1-1-111111ii−i−i11-1-1-1-1-1-1i−i-11-1-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−iii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1i−ii−i1-1-11i−ii−i1111-1-1-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−i1-1-11i−ii−i1-1
χ1811-1-1-111111ii−i−i11-1-1-1-1-1-1i−i-11-1-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−iii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1i−ii−i-111-1−ii−ii1111-1-1-1-1ii−i−iii−i−i-11-11−i−iii−i−iii-111-1−ii−ii-11
χ1911-1-1-111111ii−i−i11-1-1-1-1-1-1i−i-11-1-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−iii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111−ii−ii1-1-11i−ii−i-1-1-1-11111−i−iii−i−iii-11-11−i−iii−i−iii1-1-11i−ii−i-11
χ2011-1-1-111111ii−i−i11-1-1-1-1-1-1i−i-11-1-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−iii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111−ii−ii-111-1−ii−ii-1-1-1-11111−i−iii−i−iii1-11-1ii−i−iii−i−i-111-1−ii−ii1-1
χ2111-1-1-111111ii−i−i11-1-1-1-1-1-1−ii-1-11-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ii−i−iii-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-11i−i−ii11-1-1i−i−ii11-1-1-1-111ii−i−i−i−iii1-11-1−i−iiiii−i−i11-1-1i−i−ii-11
χ2211-1-1-111111ii−i−i11-1-1-1-1-1-1−ii-1-11-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ii−i−iii-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-11i−i−ii-1-111−iii−i11-1-1-1-111ii−i−i−i−iii-11-11ii−i−i−i−iii-1-111−iii−i1-1
χ2311-1-1-111111ii−i−i11-1-1-1-1-1-1−ii-1-11-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ii−i−iii-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-1−iii−i11-1-1i−i−ii-1-11111-1-1−i−iiiii−i−i-11-11ii−i−i−i−iii11-1-1i−i−ii1-1
χ2411-1-1-111111ii−i−i11-1-1-1-1-1-1−ii-1-11-1-111111ii−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ii−i−iii-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-1−iii−i-1-111−iii−i-1-11111-1-1−i−iiiii−i−i1-11-1−i−iiiii−i−i-1-111−iii−i-11
χ2511-1-1-111111−i−iii11-1-1-1-1-1-1i−i-1-11-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1i−iii−i−i-11-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-11−iii−i11-1-1−iii−i11-1-1-1-111−i−iiiii−i−i1-11-1ii−i−i−i−iii11-1-1−iii−i-11
χ2611-1-1-111111−i−iii11-1-1-1-1-1-1i−i-1-11-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1i−iii−i−i-11-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-11−iii−i-1-111i−i−ii11-1-1-1-111−i−iiiii−i−i-11-11−i−iiiii−i−i-1-111i−i−ii1-1
χ2711-1-1-111111−i−iii11-1-1-1-1-1-1i−i-1-11-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1i−iii−i−i-11-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1i−i−ii11-1-1−iii−i-1-11111-1-1ii−i−i−i−iii-11-11−i−iiiii−i−i11-1-1−iii−i1-1
χ2811-1-1-111111−i−iii11-1-1-1-1-1-1i−i-1-11-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1i−iii−i−i-11-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1i−i−ii-1-111i−i−ii-1-11111-1-1ii−i−i−i−iii1-11-1ii−i−i−i−iii-1-111i−i−ii-11
χ2911-1-1-111111−i−iii11-1-1-1-1-1-1−ii-11-1-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii1-1-11−ii−ii1111-1-1-1-1−i−iii−i−iii1-11-1−i−iii−i−iii1-1-11−ii−ii1-1
χ3011-1-1-111111−i−iii11-1-1-1-1-1-1−ii-11-1-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii-111-1i−ii−i1111-1-1-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-111-1i−ii−i-11
χ3111-1-1-111111−i−iii11-1-1-1-1-1-1−ii-11-1-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i1-1-11−ii−ii-1-1-1-11111ii−i−iii−i−i-11-11ii−i−iii−i−i1-1-11−ii−ii-11
χ3211-1-1-111111−i−iii11-1-1-1-1-1-1−ii-11-1-1-111111−i−iii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i-111-1i−ii−i-1-1-1-11111ii−i−iii−i−i1-11-1−i−iii−i−iii-111-1i−ii−i1-1
χ332222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+5222222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+522222222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ342222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+5222222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52-2-2-2-2-2-2-2-2000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000000000
χ352222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521+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+521−521−522-22-222-2-200000000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
χ362222222−1−52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521+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+521−521−52-22-22-2-222000000001+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ372222222−1−52−1+522-2-2-2-2−1−52−1+5222−1−52−1−52−1+52−1+52222-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+5222−1−52−1+52−1−52−1+52-2-21+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+521−521−522-22-2-2-22200000000−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ382222222−1−52−1+522-2-2-2-2−1−52−1+5222−1−52−1−52−1+52−1+52222-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+5222−1−52−1+52−1−52−1+52-2-21+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+521−521−52-22-2222-2-2000000001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
χ392222222−1−52−1+522-2-2-2-2−1−52−1+5222−1−52−1−52−1+52−1+52-2-2222−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+52-2-21+521−521+521−5222−1−52−1+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+522222-2-2-2-200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000000000
χ402222222−1−52−1+522-2-2-2-2−1−52−1+5222−1−52−1−52−1+52−1+52-2-2222−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+52-2-21+521−521+521−5222−1−52−1+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+52-2-2-2-22222000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
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χ1488-8−8i8i0-40−2−25−2+25400002+252−254i−4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47000000001+51−5000000−1−5−1+5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58000000002ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8−8i8i0-40−2+25−2−25400002−252+254i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59000000001−51+5000000−1+5−1−5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46000000002ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8−8i8i0-40−2+25−2−25400002−252+254i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59000000001−51+5000000−1+5−1−52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ4600000000−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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