Finite Group Databasebeta

← Group #14413125

Character table — Group #14413125

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order122222344446666666444451010101010101012121212121212121212121215153030303030303030303030303030444420202020202020202020202060606060606060606060606060606060606060606060606022224412121212121212124444666612121212121212128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111111-1-1-1-11111111-1-11111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111111-1-1-1-11111111-1-11111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111-1-1-1-11111111-1-11111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111-1-1-1-11111111-1-11111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171111-1-1111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-11-11-11-11-11-11-11-1
χ181111-1-1111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-11-11-11-11-11-11-11-11
χ191111-1-1111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-111i−ii−ii−ii−i−ii−ii−ii−ii
χ201111-1-1111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-111−ii−ii−ii−iii−ii−ii−ii−i
χ211111-1-1111-1-1-1-1-1-1111-11-1111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-1111-11-1-11-111-11-1-11-11
χ221111-1-1111-1-1-1-1-1-1111-11-1111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111-11-111-11-1-11-111-11-1
χ231111-1-1111-1-1-1-1-1-1111-11-1111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111-11-1-1-11111-1-111-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ241111-1-1111-1-1-1-1-1-1111-11-1111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111-11-1-1-11111-1-111-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ251111-1-11-1-111-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-11-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11
χ261111-1-11-1-111-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-11-1-11111-1-1-1-111-111-1-111-1-111-1-111-1
χ271111-1-11-1-111-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-111-111-1-1-1-11111-1-1i−i−iii−i−ii−iii−i−iii−i
χ281111-1-11-1-111-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-111-111-1-1-1-11111-1-1−iii−i−iii−ii−i−iii−i−ii
χ291111-1-11-1-111-1-1-1-1111-111-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-111-1-11111-1-11-1-11-111-11-1-11-111-1
χ301111-1-11-1-111-1-1-1-1111-111-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-111-1-11111-1-1-111-11-1-11-111-11-1-11
χ311111-1-11-1-111-1-1-1-1111-111-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111111-1-1111-1-111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ321111-1-11-1-111-1-1-1-1111-111-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111111-1-1111-1-111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ33222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ35222222-12222-1-1-1-1-1-1-1-2-2-2-22222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ36222222-12222-1-1-1-1-1-1-1-2-2-2-22222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-10000000000000000
χ37222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-1-1-1-1-122-2-21111-1-1-1-111110000000000000000
χ38222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-211111111-2-222-1-1-1-11111-1-1-1-10000000000000000
χ39222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000000000000000
χ40222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-21111111122-2-2-1-1-1-1-1-1-1-111110000000000000000
χ412222-2-2-122-2-21111-1-1-12-22-222-2-2-2-222-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1222222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-111112-22-2-1-111-1-111-1-1110000000000000000
χ422222-2-2-122-2-21111-1-1-12-22-222-2-2-2-222-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-2-2-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222221111-1-1-1-1-22-2211-1-111-1-111-1-10000000000000000
χ432222-2-2-122-2-21111-1-1-1-22-2222-2-2-2-22211-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1222222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-2-2-2-1-1-1-11111-22-22-1-11111-1-111-1-10000000000000000
χ442222-2-2-122-2-21111-1-1-1-22-2222-2-2-2-22211-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-2-2-2-222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-222221111-1-1-1-12-22-211-1-1-1-111-1-1110000000000000000
χ452222-2-2-1-2-2221111-1-1-12-2-2222-2-2-2-222-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-12222-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-222-2-2-1-1-1-111112-2-2211-1-1-1-11111-1-10000000000000000
χ462222-2-2-1-2-2221111-1-1-12-2-2222-2-2-2-222-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2221111-1-1-1-1-222-2-1-11111-1-1-1-1110000000000000000
χ472222-2-2-1-2-2221111-1-1-1-222-222-2-2-2-22211-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-12222-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111-2-222-2-2-1-1-1-11111-222-211-1-111-1-1-1-1110000000000000000
χ482222-2-2-1-2-2221111-1-1-1-222-222-2-2-2-22211-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111122-2-2221111-1-1-1-12-2-22-1-111-1-11111-1-10000000000000000
χ492-22-22-222-22-222-2-2-22-200002-222-2-22-2000000002-22-222-2-22222-2-2-2-222-2-222-2-22-22-20000000022-2-222-2-200000000000000002-22-22-222-2-222-2-200002-22-2000000000000000000000000
χ502-22-22-222-22-222-2-2-22-200002-222-2-22-2000000002-22-222-2-22222-2-2-2-222-2-2-2-2222-22-20000000022-2-222-2-20000000000000000-22-22-22-2-222-2-2220000-22-22000000000000000000000000
χ512-22-22-22-22-2222-2-2-22-200002-222-2-22-200000000-22-2222-2-22222-2-2-2-222-2-222-2-2-22-2200000000-2-222-2-2220000000000000000-22-222-222-2-222-2-20000-22-22000000000000000000000000
χ522-22-22-22-22-2222-2-2-22-200002-222-2-22-200000000-22-2222-2-22222-2-2-2-222-2-2-2-222-22-2200000000-2-222-2-22200000000000000002-22-2-22-2-222-2-22200002-22-2000000000000000000000000
χ532-22-22-2-12-22-2-1-1111-1100002-222-2-22-23−33−33−33−3-11-11-1-111-1-1-1-11111-1-11122-2-22-22-200000000-1-111-1-11133−3−333−3−333−3−333−3−32-22-22-2-1-111-1-1110000-11-113−33−33−33−30000000000000000
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χ1418-8-8800-40000−4i34i34i3−4i344-40000-2-2−252525−25220000000000001+i151−i151+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-8800-40000−4i34i34i3−4i344-40000-2-225−25−2525220000000000001−i151+i151−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8800-400004i3−4i3−4i34i344-40000-2-2−252525−25220000000000001−i151+i151−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8800-400004i3−4i3−4i34i344-40000-2-225−25−2525220000000000001+i151−i151+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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