Finite Group Databasebeta

← Group #14454253

Character table — Group #14454253

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222444444444444444444444444444444444444888888888888888888888888888888888888881010121220202020202020242424242424242424242440404040404040404848484860606060120120
order1222344556661010101010102444121212121212121215152020202020202020303030303030606060606060606026661010101010102020202030303030303030303030303060606060606060606060606044882441212121244840404040404040402466612121220202020228828
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11111-1-1-1-1111111111111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1111111111-1-11-1-11-1-1-1-1-1-1-1-111-11
χ611111111111111111111-1-11111-1-1-1-1111111111111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-11-1
χ711111111111111111111-1-11111-1-1-1-1111111111111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-111-111-1-1-1-111-1-11-1
χ811111111111111111111-1-11111-1-1-1-1111111111111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1111111-1-111-11
χ9111111111111111111-1-11111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1-1-1111111-1-1
χ10111111111111111111-1-11111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-111-111-1-1-1-111111-1111-1-1-111-1-1-1-1-1-111
χ11111111111111111111-1-11111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11111-1-11-1-11111-1-1-1-1-11-1-1-1111-1-111-1-1-1-111
χ12111111111111111111-1-11111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-111-1-1-1-11111-11-1-1-111111-1-11111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-11-11111-1-1-1-1-111-1-1-11111-1-1-1-1111-1
χ14111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1111-11-1-1-1-11111-111-1-1-111-1-11111-1-1-11
χ15111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-11-11111-1-1-1-11-1-1111-1-111-1-111-1-1-11
χ16111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-111111-1-1111-1-1-1-111-1-1111-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200220000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-20000000-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−52000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-22222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200220000000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-22222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200-2-2000000022-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-22222−1−52−1+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+521−521−521−521−52-2-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002200000002-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-22222−1−52−1+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+521−521−521−521−52-2-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-20000000-2221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2-2-2−1−52−1+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+521−521−521−521−522-2221+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200220000000-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2-2-2−1−52−1+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+521−521−521−521−522-2221+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200-2-200000002-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200220000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-20000000-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+52000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-22222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-2−1+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+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200220000000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-22222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2-2−1+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+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-2-2000000022-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-22222−1+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+52-2-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−52002200000002-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-22222−1+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+52-2-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−5200-2-20000000-2221−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2-2-2−1+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+522-2221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200220000000-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2-2-2−1+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+522-2221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-2-200000002-221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000
χ3322222-2-2222222222222-200-2-2-2-2000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-202002200000000222200000000-2-2-2-2000000002200-2-22-2-2220000000000000-2002000000000000
χ3422222-2-2222222222222-200-2-2-2-2000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-202002200000000222200000000-2-2-2-200000000-2-20022-222-2-20000000000000200-2000000000000
χ3522222-2-222222222222-2200-2-2220000222222-2-2-2-2222222222222220-200-2-200000000-2-2-2-200000000-2-2-2-2000000002200-22-222220000000000000-200-2000000000000
χ3622222-2-222222222222-2200-2-2220000222222-2-2-2-2222222222222220-200-2-200000000-2-2-2-200000000-2-2-2-200000000-2-2002-22-2-2-2-200000000000002002000000000000
χ372222-12222-1-1-12222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200222-1-1-1-10000000000022-1-1-1-1-1-10000000000
χ382222-12222-1-1-12222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2111100000000000-2-21111110000000000
χ392222-12222-1-1-122222222-2-2-1-1-1-11111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-11122-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1111111112200222-1-1-1-100000000000-2-2-111-1110000000000
χ402222-12222-1-1-122222222-2-2-1-1-1-11111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-11122-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-200-2-2-2111100000000000221-1-11-1-10000000000
χ412222-12222-1-1-1222222-2-222-1-111-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-2111-2-2-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-122002-2-211-1-1000000000002-2-1-1-11110000000000
χ422222-12222-1-1-1222222-2-222-1-111-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-2111-2-2-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-200-222-1-11100000000000-22111-1-1-10000000000
χ432222-12222-1-1-1222222-2-2-2-2-1-1111111-1-1-2-2-2-22222-1-1-1-1-1-11111111121-1-1-2-22222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111122002-2-211-1-100000000000-22-1111-1-10000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.