Finite Group Databasebeta

← Group #14453807

Character table — Group #14453807

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222224444444444444444668888888888888888888888888888121212121216161616161616161616202020202020202020202424242424242424242424242440404040404040484860606060120120
order12223445566610101010101022121215152020202030303030303022466810101010121224244040404060606060120120120120120120120120410101010202030303030606060602444668812122481010101020204040404041212121224242020448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-1-111-1-11-1
χ4111111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111-1-111-1-11-1-1111111-1-1-1-1-1-1-11111-1-1-1-111-11
χ51111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-111-1-1-1-1-1-11111111-1-1-1-111-1-111-11
χ81111111111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1-1-11111-1-1-111111111-1-11-1
χ9111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111111111-1-111-11-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-11
χ10111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-1-1-1-111-1-1-1-1111-1-11111-1-1111-1
χ11111111111111111111-1-11111111111111111-1-1-11-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-1-1-1111111-1-1-1-1-111-1-11111-1-1
χ12111111111111111111-1-11111111111111111-1-1-11-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ13111111111111111111-1-111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1111-111111-1-11111-1-1-111-1-1-1-1-1-1111-1
χ14111111111111111111-1-111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11-111111-1-11111111-1-111-1-111-1-1-11
χ15111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ16111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-1-1-1-111111-1-1111111-1-1
χ172222222−1−52−1+52222−1−52−1+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+52222222−1−52−1−52−1+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+522−1−52−1−52−1+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+520000000−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1+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+5222-222-2−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000001+521−52000000
χ192222222−1−52−1+52222−1−52−1+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+52-2-22222−1−52−1−52−1+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+52-21+521+521−521−52−1−52−1+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+521−521−5200000001+521−52000000
χ202222222−1−52−1+52222−1−52−1+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+52-2-2-222-2−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+520000000−1−52−1+52000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-21+521+521−521−5222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000-22-21+521+521−521−52−1−52−1+521+521+521−521−520000000−1−52−1+52000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-221+521+521−521−52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−520000000000-2-221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000001+521−52000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2-21+521+521−521−5222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000002-22−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+5200000001+521−52000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-221+521+521−521−52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521−521+521+521−521−521+521+521−521−52000000000022-2−1−52−1−52−1+52−1+521+521−521+521+521−521−520000000−1−52−1+52000000
χ252222222−1+52−1−52222−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+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+52−1−52−1−520000000−1+52−1−52000000
χ262222222−1+52−1−52222−1+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+52−1−5222-222-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000002-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000001−521+52000000
χ272222222−1+52−1−52222−1+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+52−1−52-2-22222−1+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+52−1−52−1−52−1−52−1−52-21−521−521+521+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+5200000001−521+52000000
χ282222222−1+52−1−52222−1+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+52−1−52-2-2-222-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−520000000−1+52−1−52000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-21−521−521+521+5222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000-22-21−521−521+521+52−1+52−1−521−521−521+521+520000000−1+52−1−52000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-221−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+520000000000-2-221−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000001−521+52000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-21−521−521+521+5222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000002-22−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000001−521+52000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-221−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521+521−521−521+521+521−521−521+521+52000000000022-2−1+52−1+52−1−52−1−521−521+521−521−521+521+520000000−1+52−1−52000000
χ3322222-2-22222222222200-2-222-2-2-2-2222222220000000000000000-2-2-2-200000000-2222200000000002-2002200-2-20000000-2-200000000000002-20000
χ3422222-2-22222222222200-2-222-2-2-2-2222222220000000000000000-2-2-2-200000000-222220000000000-2200-2-200220000000-2-20000000000000-220000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-20000000000000000-2-2-2-2000000002-2-2-2-200000000002-2002200-2-20000000220000000000000-220000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-20000000000000000-2-2-2-2000000002-2-2-2-20000000000-2200-2-2002200000002200000000000002-20000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1002-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000022-1-1-1-1-1-1-1-12222-1-122-1-100000000000002-1-1-1-1-1-100000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1002-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000022-1-1-1-1-1-1-1-1-2-2-2-211-2-2110000000000000-211111100000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-1-1-222221111-2-2-2-2-1-1-1-11111111100000-2-2-1-1-1-1111122-2-2-1-1-2-2-1-100000000000002-1-1111100000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-1-1-222221111-2-2-2-2-1-1-1-11111111100000-2-2-1-1-1-11111-2-2221122110000000000000-211-1-1-1-100000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100211-2-2-2-2-2-1-111-2-2-2-2-1-1-1-11111111100000221111-1-1-1-12222-1-1-2-2-1-10000000000000-211-1-11100000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100211-2-2-2-2-2-1-111-2-2-2-2-1-1-1-11111111100000221111-1-1-1-1-2-2-2-211221100000000000002-1-111-1-100000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-2112-2-2-2-211-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-21111111122-2-2-1-122-1-10000000000000-21111-1-100000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-2112-2-2-2-211-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-211111111-2-22211-2-21100000000000002-1-1-1-11100000000
χ452-2-222-2222-2-22-2-22-22-22-2-222222-2-2-2-2-2-2220002-202-22-200000000-2-2220000000000000002-22-20000002-2002-20000000000000000002-22-200000000
χ462-2-222-2222-2-22-2-22-22-22-2-222222-2-2-2-2-2-2220002-202-22-200000000-2-2220000000000000002-22-2000000-2200-22000000000000000000-22-2200000000
χ472-2-222-2222-2-22-2-22-22-2-22-222222-2-2-2-2-2-222000-220-22-2200000000-2-222000000000000000-22-220000002-200-220000000000000000002-2-2200000000
χ482-2-222-2222-2-22-2-22-22-2-22-222222-2-2-2-2-2-222000-220-22-2200000000-2-222000000000000000-22-22000000-22002-2000000000000000000-222-200000000
χ492-2-22-1-222211-1-2-22-22-22-21-1-1-122-2-21111-1-1000-1102-22-2−i3i3−i3i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000-11-11−i3i3−i3i3002-2−i3i32-2−i3i300000000000000−i3i3-11-1100000000
χ502-2-22-1-222211-1-2-22-22-22-21-1-1-122-2-21111-1-1000-1102-22-2−i3i3−i3i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000-11-11−i3i3−i3i300-22i3−i3-22i3−i300000000000000i3−i31-11-100000000
χ512-2-22-1-222211-1-2-22-22-22-21-1-1-122-2-21111-1-1000-1102-22-2i3−i3i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000-11-11i3−i3i3−i3002-2i3−i32-2i3−i300000000000000i3−i3-11-1100000000
χ522-2-22-1-222211-1-2-22-22-22-21-1-1-122-2-21111-1-1000-1102-22-2i3−i3i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000-11-11i3−i3i3−i300-22−i3i3-22−i3i300000000000000−i3i31-11-100000000
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χ1168-8-88-48-8−2−25−2+2544-42+252−25−2−252+25−2+252−2500-441+51−52+252−25−2−25−2+25−1−5−1−5−1+5−1+51+51−50000000000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-8−2+25−2−2544-42−252+25−2+252−25−2−252+2500-441−51+52−252+25−2+25−2−25−1+5−1+5−1−5−1−51−51+50000000000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000

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