Finite Group Databasebeta

← Group #14411997

Character table — Group #14411997

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size1122222222222222222224444444444444444444444444444444444444488888888888888888888888888888888888812121212121212122020202020202020242424242424242424242424242424243030303030303030404040404040404060606060
order1222234444556101012122020202022446661010101010101212121515202020202020303030303030606060606060606066101010101212202020203030303030303030303030306060606060606060606060604444444444444444202020202020202020202020202020202222222212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ9111111-1-1-1-111111-1-1-1-1-1-11-11-1111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ10111111-1-1-1-111111-1-1-1-1-1-11-11-1111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11
χ11111111-1-1-1-111111-1-1-1-1-1-11-11-1111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ12111111-1-1-1-111111-1-1-1-1-1-11-11-1111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111-11-1
χ13111111-1-1-1-111111-1-1-1-1-1-1-11-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11-11
χ14111111-1-1-1-111111-1-1-1-1-1-1-11-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-11-1
χ15111111-1-1-1-111111-1-1-1-1-1-1-11-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1
χ16111111-1-1-1-111111-1-1-1-1-1-1-11-11111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11
χ17111-1-1111-1-1111111111111-1-111-1-111-1-1-1-11-1-11111-1-1-1-1111111111111111-111-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−ii−ii−ii−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i11-1-1
χ18111-1-1111-1-1111111111111-1-111-1-111-1-1-1-11-1-11111-1-1-1-1111111111111111-111-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−ii−ii−i−ii−ii−ii−iiii−i−iii−i−iii−i−iii−i−i-1-111-1-111−ii−ii−ii−ii-1-111
χ19111-1-1111-1-1111111111111-1-111-1-111-1-1-1-11-1-11111-1-1-1-1111111111111111-111-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−ii−ii−ii−iii−ii−ii−ii−i−i−iii−i−iii−i−iii−i−iii-1-111-1-111i−ii−ii−ii−i-1-111
χ20111-1-1111-1-1111111111111-1-111-1-111-1-1-1-11-1-11111-1-1-1-1111111111111111-111-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii11-1-1
χ21111-1-1111-1-111111111111-111-11-1-111-1-1-1-11-1-11111-1-1-1-111111111111111-11-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−i−ii−iii−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111-1-1i−ii−i−ii−ii-1-111
χ22111-1-1111-1-111111111111-111-11-1-111-1-1-1-11-1-11111-1-1-1-111111111111111-11-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii−ii−iii−ii−iii−i−iii−i−i−i−iii−i−iii-1-111-1-111−ii−iii−ii−i11-1-1
χ23111-1-1111-1-111111111111-111-11-1-111-1-1-1-11-1-11111-1-1-1-111111111111111-11-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−iii−ii−ii−ii−i−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111i−ii−i−ii−ii11-1-1
χ24111-1-1111-1-111111111111-111-11-1-111-1-1-1-11-1-11111-1-1-1-111111111111111-11-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−iii−ii−i−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−ii−iii−ii−i-1-111
χ25111-1-11-1-11111111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iii−i−iii−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111i−i−iii−i−ii1-1-11
χ26111-1-11-1-11111111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iii−i−ii−iii−i−iii−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−iii−i−iii−i-111-1
χ27111-1-11-1-11111111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−iii−ii−i−iii−i−ii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1i−i−iii−i−ii-111-1
χ28111-1-11-1-11111111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−iii−i−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−iii−i−iii−i1-1-11
χ29111-1-11-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−ii−iii−ii−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111i−i−ii−iii−i-111-1
χ30111-1-11-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−ii−iii−i−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−iii−ii−i−ii1-1-11
χ31111-1-11-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−ii−i−iii−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1i−i−ii−iii−i1-1-11
χ32111-1-11-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−ii−i−ii−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−iii−ii−i−ii-111-1
χ332222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000000000000000
χ342222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−5200000000000000000000
χ352222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−522222-2-2-2-200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ362222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−52-2-2-2-22222000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ372222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−5200000000000000000000
χ382222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5200000000000000000000
χ392222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+5200000000000000000000
χ402222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+52−1−5200000000000000000000
χ41222222-2-2-2-2−1−52−1+522−1−52−1+52-2-21+521+521−521−522-22-2222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-222-2-200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.