Finite Group Databasebeta

← Group #14436166

Character table — Group #14436166

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222244444444444444444444444444444444448888888888888888888888888888888888888881212202024242424242424242424243030303040404040404040484848486060606060608080
order12223445566610101010101022444412121212151520202020202020203030303030306060606060606060661010101012121220202020202030303030303030306060606060606060606060606060606088884484040404040404040444444824242424202020202444441212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-111-1-111-1-1-111-1-1-11-1
χ611111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1111-11
χ711111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-11111-1
χ811111111111111111111-1-1-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-111-1-111-1-111-111-1-1-1-11
χ9111111111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111111-1-111111-1-1-1-11-1-11-1-1-1-1
χ10111111111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111
χ11111111111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-111-1-1
χ12111111111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-11-1-111
χ13111111111111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-11111-1-1-1-11111-11-111-1-1-1-111-1-1-1-111-11
χ14111111111111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-11-11111-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111-11-1-1-1-11111-1-1-1-1-11-111-1-111-1-11111-1-1-11
χ16111111111111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1-1111111111-11-1-11111-1-1-1-1-1-1111-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000−1−52−1+52−1−52−1+5200000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-2-2-21+521+521−521−521+521+521−521−52000000000001+521−521+521−5200000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52-2-2-21+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+521+521+521−521−521+521+521+521+521−521−521−521−5222002-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000−1−52−1+521+521−5200000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52-2-2-21+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+521+521+521−521−521+521+521+521+521−521−521−521−52-2-200-2221+521+521−521−52−1−52−1−52−1+52−1+52000000000001+521−52−1−52−1+5200000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-22222−1−52−1+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+52-2-21+521+521−521−522-2-2−1−52−1+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+521+521+521+521+521−521−521−521−522200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000001+521−521+521−5200000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-22222−1−52−1+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+52-2-21+521+521−521−522-2-2−1−52−1+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+521+521+521+521+521−521−521−521−52-2-20022-21+521+521−521−521+521+521−521−5200000000000−1−52−1+52−1−52−1+5200000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−52-2221+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+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200-22-2−1−52−1−52−1+52−1+521+521+521−521−52000000000001+521−52−1−52−1+5200000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−52-2221+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+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2002-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000−1−52−1+521+521−5200000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−52222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000−1+52−1−52−1+52−1−5200000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−52222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-2-2-21−521−521+521+521−521−521+521+52000000000001−521+521−521+5200000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-22-2-22−1+52−1−521−521−521+521+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+5222−1+52−1+52−1−52−1−52-2-2-21−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5222002-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000−1+52−1−521−521+5200000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-22-2-22−1+52−1−521−521−521+521+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+5222−1+52−1+52−1−52−1−52-2-2-21−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-2-200-2221−521−521+521+52−1+52−1+52−1−52−1−52000000000001−521+52−1+52−1−5200000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+522-2-2−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000001−521+521−521+5200000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+522-2-2−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-20022-21−521−521+521+521−521−521+521+5200000000000−1+52−1−52−1+52−1−5200000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222-2-22−1+52−1−521−521−521+521+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+52-2-21−521−521+521+52-2221−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200-22-2−1+52−1+52−1−52−1−521−521−521+521+52000000000001−521+52−1+52−1−5200000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222-2-22−1+52−1−521−521−521+521+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+52-2-21−521−521+521+52-2221−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2002-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000−1+52−1−521−521+5200000000
χ3322222-2-222222222222002-200-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000020022000000000000-2-2-2-222220000000000000000000000022-2-200000000000-20020000
χ3422222-2-222222222222002-200-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000020022000000000000-2-2-2-2222200000000000000000000000-2-22200000000000200-20000
χ3522222-2-22222222222200-2200-222-2222222-2-2-2-222222222222222000000-200-2-2000000000000-2-2-2-2-2-2-2-20000000000000000000000022-2-200000000000200-20000
χ3622222-2-22222222222200-2200-222-2222222-2-2-2-222222222222222000000-200-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000-2-22200000000000-20020000
χ372222-12222-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000000000000000222-1-1-1-10000000000-1-1
χ382222-12222-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000000000-2-2-21111000000000011
χ392222-12222-1-1-122222222-2-2-2-2-111-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-1-12222111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100220000000000000002-2-2-1-1110000000000-11
χ402222-12222-1-1-122222222-2-2-2-2-111-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-1-12222111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100-2-2000000000000000-22211-1-100000000001-1
χ412222-12222-1-1-1222222-2-222-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-11122-2-2-2-211111111-1-1-1-1-1-1-1-1111111110022000000000000000-2-22-1-1-1-1000000000011
χ422222-12222-1-1-1222222-2-222-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-11122-2-2-2-211111111-1-1-1-1-1-1-1-11111111100-2-200000000000000022-211110000000000-1-1
χ432222-12222-1-1-1222222-2-2-2-222-111-1-1-1-2-2-2-22222-1-1-1-1-1-11111111111-2-2-2-21-1-1-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-10022000000000000000-22-2-1-11100000000001-1
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.