Finite Group Databasebeta

← Group #14471945

Character table — Group #14471945

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222224444444444444444444444668888888888888888888888888101010101010101010101212121212121216161616161616161616202020202020202020242424242424242424242424303040404040404848606060120120
order1222344556661010101010104488121215152020202024242424303030303030442661212202020204040404060606060120120120120120120120120448888121212124882020202010103030303060606060444121224242424242020202020204040404044412121212101048824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111
χ511111111111111111111-1-111111111-1-1-1-111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-1-11111111-1-1-1-111111-1-1-1-11-1-1-11
χ611111111111111111111-1-111111111-1-1-1-111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1-11111-11111111-1-1-1-1-1-1-1-1-111-1-1-1111-1
χ711111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11-1-1-1-1-1-1-11111-1-1111-1-111-1111-1
χ811111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1-1-1-1-1111111-1-1-111111-1-1-11
χ9111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1
χ10111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-111
χ11111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ12111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1
χ13111111111111111111-1-1-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111111111-1-1-1-111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-111111-1-11-1
χ14111111111111111111-1-1-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1111-1-111-111-11
χ15111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1111111-1-1-1-111111-1-1-1-1-11-1-111111111-1-1-1-1-111-1-1-111-11
χ16111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-11-1-11111111111111-1-1-1-11-1-11-1
χ172222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000-2-21+521−521+521+521−521−521+521+521−521−5200000001+521−5200000
χ192222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000000002-2-2−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−5200000
χ202222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000000000-2221+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000002-21+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000222−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−52000000000-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−5200000
χ222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000-2-2-21+521+521−521−521+521−521+521+521−521−521+521+521−521−52000000000221+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+5200000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222222-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000000002-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000002-2−1−52−1+521+521+521−521−521+521+521−521−520000000−1−52−1+5200000
χ242222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2222-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000000000-2221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−5200000
χ252222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000-2-21−521+521−521−521+521+521−521−521+521+5200000001−521+5200000
χ272222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000000002-2-2−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+5200000
χ282222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000000000-2221−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000002-21−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−520000000000222−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+52000000000-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+5200000
χ302222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−520000000000-2-2-21−521−521+521+521−521+521−521−521+521+521−521−521+521+52000000000221−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−5200000
χ312222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222222-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000000002-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000002-2−1+52−1−521−521−521+521+521−521−521+521+520000000−1+52−1−5200000
χ322222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000000000-2221−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+5200000
χ3322222-2-2222222222220000-2-222-2-2-2-20000222222220000000000000-2-2-2-2000000002200002222-2002222000000000000-2-2-2000000-2-200000000220000000-20000
χ3422222-2-2222222222220000-2-222-2-2-2-20000222222220000000000000-2-2-2-200000000-2-20000-2-2-2-2-2002222000000000000222000000-2-200000000-2-2000000020000
χ3522222-2-2222222222220000-2-222-2-2-2-20000222222-2-20000000000000-2-2-2-2000000002200002222200-2-2-2-2000000000000-2-2-20000002200000000-2-2000000020000
χ3622222-2-2222222222220000-2-222-2-2-2-20000222222-2-20000000000000-2-2-2-200000000-2-20000-2-2-2-2200-2-2-2-20000000000002220000002200000000220000000-20000
χ372222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000022-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-1-1-10000000
χ382222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000022-1-1-1-1-1-1-1-1-2-2-211111100000000000000-211110000000
χ392222-12222-1-1-122222222-2-2-1-1-1-122221111-1-1-1-1-1-100-211-1-12222-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-10000000-2-21111-1-1-1-1-2-22-1-11111000000000000002-1-1110000000
χ402222-12222-1-1-122222222-2-2-1-1-1-122221111-1-1-1-1-1-100-211-1-12222-2-2-2-2-1-1-1-111111111-2-2222211110000000-2-21111-1-1-1-122-211-1-1-1-100000000000000-211-1-10000000
χ412222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-21111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000000-2-211111111-2-22-1-1-1-1-1-100000000000000-211110000000
χ422222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-21111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000000-2-21111111122-2111111000000000000002-1-1-1-10000000
χ432222-12222-1-1-1222222-2-2-2-2-1-1-1-122221111-1-1-1-1-1-1002-1-111-2-2-2-2-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-1000000022-1-1-1-11111222-1-1111100000000000000-211-1-10000000
χ442222-12222-1-1-1222222-2-2-2-2-1-1-1-122221111-1-1-1-1-1-1002-1-111-2-2-2-2-2-2-2-2-1-1-1-111111111-2-222221111000000022-1-1-1-11111-2-2-211-1-1-1-1000000000000002-1-1110000000
χ4522-2-22-22222-2-22-22-2-2-22-2002-222-2-2220000-2-2-2-222000002-22-22-20000-2-22200000000002i2i−2i−2i000000000000000002-22-22i−2i0002i2i−2i−2i000000000000000002i−2i0000000
χ4622-2-22-22222-2-22-22-2-2-22-2002-222-2-2220000-2-2-2-222000002-22-22-20000-2-2220000000000−2i−2i2i2i000000000000000002-22-2−2i2i000−2i−2i2i2i00000000000000000−2i2i0000000
χ4722-2-22-22222-2-22-22-2-2-2-22002-222-2-2220000-2-2-2-22200000-22-22-220000-2-22200000000002i2i−2i−2i00000000000000000-22-22−2i2i0002i2i−2i−2i00000000000000000−2i2i0000000
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χ1288-8-88-400−2+25−2−2544-42−252−252+252+25−2+25−2−250000001−51+5000026−26−2626−1+51−5−1−51+5−1+5−1−50000000000000000000ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ10300000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-400−2+25−2−2544-42−252−252+252+25−2+25−2−250000001−51+50000−262626−26−1+51−5−1−51+5−1+5−1−50000000000000000000−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ10300000000000000000000000000000000000000000000000000000000000000

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