Finite Group Databasebeta

← Group #14460085

Character table — Group #14460085

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222244444444444444444444444444668888888888888888881010101010101212121212121212121212121212121212121216161616161616161616161620202020202020202020202020242430304040404048484848606060120120
order1222344556668888101010101010121215152020202024242424303030303030404040404040404044441212121260606060120120120120120120120120441212121228810101010202020204040404040404040202020206060606060606060224448812122424242444446612122020202028844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-11111-1-1-111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1111111111111111-1-1
χ9111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-111111-1-1-1-1111-1-1-11
χ10111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-11111-11-1-1-1-111-1-111-1111-1
χ11111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-111-1-1-1-11-111-1-11111-1-11-1-11-1
χ12111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-111111-1-1-111-1-111-1-1-111-11
χ13111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-111-1-111-1-1-1111-1
χ14111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-11111-1-111111-111-1-11111-1-11-1-1-11
χ15111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111-1-111-1-1-1-1-11-1-1-1-111-1-111-111-11
χ16111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-111-1-11111-111111-1-1-1-1111-1-11-1
χ172222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+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+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000022000000−1−52−1+52−1−52−1+5200000
χ182222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+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+5222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000222−1−52−1−52−1+52−1+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+521−521−520000000000000-2-20000001+521−521+521−5200000
χ192222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+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+52-2-2222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-2-21+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+520000000000000-2-20000001+521−521+521−5200000
χ202222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-2-21+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+521−521−52000000000000022000000−1−52−1+52−1−52−1+5200000
χ212222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000002-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000-220000001+521−52−1−52−1+5200000
χ222222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000002-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000002-2000000−1−52−1+521+521−5200000
χ232222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2221+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+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000002-2000000−1−52−1+521+521−5200000
χ242222222−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000-220000001+521−52−1−52−1+5200000
χ252222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000022000000−1+52−1−52−1+52−1−5200000
χ262222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000222−1+52−1+52−1−52−1−52−1+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+520000000000000-2-20000001−521+521−521+5200000
χ272222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-2-21−521−521+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+52−1−52−1−520000000000000-2-20000001−521+521−521+5200000
χ282222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-2-21−521−521+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+52000000000000022000000−1+52−1−52−1+52−1−5200000
χ292222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52222-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000002-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000-220000001−521+52−1+52−1−5200000
χ302222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000002-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000002-2000000−1+52−1−521−521+5200000
χ312222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000002-2000000−1+52−1−521−521+5200000
χ322222222−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000-220000001−521+52−1+52−1−5200000
χ3322222-2-2222220000222222-2-222-2-2-2-200002222220000000022000000-2-2-2-200000000222222-200-2-2-2-222220000000000000000000000-20000-2-20000002200000000-20000
χ3422222-2-2222220000222222-2-222-2-2-2-200002222220000000022000000-2-2-2-200000000-2-2-2-2-2-2-200-2-2-2-2222200000000000000000000002000022000000-2-20000000020000
χ3522222-2-2222220000222222-2-222-2-2-2-2000022222200000000-2-2000000-2-2-2-2000000002222222002222-2-2-2-20000000000000000000000-20000-2-2000000-2-20000000020000
χ3622222-2-2222220000222222-2-222-2-2-2-2000022222200000000-2-2000000-2-2-2-200000000-2-2-2-2-2-22002222-2-2-2-2000000000000000000000020000220000002200000000-20000
χ372222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000000000000002222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-10000-1-1-1-1000000000
χ382222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100000000000000000002222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111100001111000000000
χ392222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222222200-2-21111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000000000000-2-2-2-211111111-2-22-2-222-1-1-1-1-1-100001111000000000
χ402222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222222200-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000000000000-2-2-2-21111111122-222-2-21111110000-1-1-1-1000000000
χ412222-12222-1-1-1-2-2-2-2222222-1-1-1-122221111-1-1-1-1-1-1-2-2-2-2-2-2-2-2002-211-1-1-1-1-1-11111111122-1-1-1-1000000000000000000022-2-2-1-1-1-11111222-2-2-2-2-1-111110000-1-111000000000
χ422222-12222-1-1-1-2-2-2-2222222-1-1-1-122221111-1-1-1-1-1-1-2-2-2-2-2-2-2-2002-211-1-1-1-1-1-111111111-2-21111000000000000000000022-2-2-1-1-1-11111-2-2-2222211-1-1-1-1000011-1-1000000000
χ432222-12222-1-1-1-2-2-2-2222222-1-1-1-122221111-1-1-1-1-1-1-2-2-2-2-2-2-2-200-22-1-111-1-1-1-11111111122-1-1-1-10000000000000000000-2-2221111-1-1-1-1-2-2222-2-2-1-11111000011-1-1000000000
χ442222-12222-1-1-1-2-2-2-2222222-1-1-1-122221111-1-1-1-1-1-1-2-2-2-2-2-2-2-200-22-1-111-1-1-1-111111111-2-211110000000000000000000-2-2221111-1-1-1-122-2-2-22211-1-1-1-10000-1-111000000000
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χ1348-8-88-4-88−2−25−2+25-44400002+252−252+252−25−2−25−2+25-441+51−52+252−25−2−25−2+250000−1−5−1+5−1−5−1+51+51−50000000000000000−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4-88−2+25−2−25-44400002−252+252−252+25−2+25−2−25-441−51+52−252+25−2+25−2−250000−1+5−1−5−1+5−1−51−51+50000000000000000−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.