Finite Group Databasebeta

← Group #14453646

Character table — Group #14453646

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444448888888888888888888888101010101010121216161616161616161616161620202020202020202020202020242424242424242424242440404040484848486060120120120
order1222344556661010101010108812121515202020202424242430303030303024661212404040406060606012012012012012012012012022666644101020203030303060606060224448812122424242422820202020404040406612121010101024448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1111111111-1-1-1-1-1-1-1-111-1-11
χ611111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ711111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1
χ811111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-11
χ9111111111111111111-1-111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1111-1-1
χ10111111111111111111-1-111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111
χ11111111111111111111-1-111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-1-111111-1-11111-1-1-1-1-1-11111-1-1-1-1-111
χ12111111111111111111-1-111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-11111-111-1-1-1-11111-1-111-1-111111-1-1
χ13111111111111111111-1-111111111-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111-1-111-1-1-1-1-11-11111-1-1-1-1-1-111-1-11111-11-1
χ14111111111111111111-1-111111111-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111-1-111-1-1-1-11-11-1-1-1-11111-1-11111-1-1-1-11-11
χ15111111111111111111-1-111111111-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-11111-11-11111-1-1-1-111-1-1-1-111-1-11-11
χ16111111111111111111-1-111111111-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-111111-11-1-1-1-1111111-1-111-1-111-11-1
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+522222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+5200000
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+522222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000-2-2-21+521+521−521−521+521+521−521−5200001+521−521+521−5200000
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+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000221+521−521+521−521+521+521−521−521+521+521−521−520000000000000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−5200000
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+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000000000022-21+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+5200000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+522-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000022−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−5200000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+522-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000-2221+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+5200000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2221+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000-22-2−1−52−1−52−1+52−1+521+521+521−521−5200001+521−52−1−52−1+5200000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2221+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000002-221+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+521+521−5200000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−5200000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000-2-2-21−521−521+521+521−521−521+521+5200001−521+521−521+5200000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000221−521+521−521+521−521−521+521+521−521−521+521+520000000000000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+5200000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000000000022-21−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−5200000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−522-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000022−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+5200000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−522-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000-2221−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−5200000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2221−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000-22-2−1+52−1+52−1−52−1−521−521−521+521+5200001−521+52−1+52−1−5200000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2221−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000002-221−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+5200000
χ3322222-2-22222222222200-2-222-2-2-2-200002222220000000000-2-2-2-2000000002222222-200000000000000-20000-2-200000002-22-2000000000000-22000
χ3422222-2-22222222222200-2-222-2-2-2-200002222220000000000-2-2-2-200000000222222-2200000000000000-20000-2-20000000-22-220000000000002-2000
χ3522222-2-22222222222200-2-222-2-2-2-200002222220000000000-2-2-2-200000000-2-2-2-2-2-22-200000000000000200002200000002-22-20000000000002-2000
χ3622222-2-22222222222200-2-222-2-2-2-200002222220000000000-2-2-2-200000000-2-2-2-2-2-2-220000000000000020000220000000-22-22000000000000-22000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1002222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-100000000000-1-1-1-1000000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111002222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111000000000001111000000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-211111111-2-22-2-222-1-1-1-1-1-1000000000001111000000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100-2-2-2-21111111122-222-2-211111100000000000-1-1-1-1000000000
χ412222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-12-2-1-111-2-2-2-2-1-1-1-11111111122-1-1-1-10022-2-2-1-1-1-11111222-2-2-2-2-1-1111100000000000-1-111000000000
χ422222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-12-2-1-111-2-2-2-2-1-1-1-111111111-2-211110022-2-2-1-1-1-11111-2-2-2222211-1-1-1-10000000000011-1-1000000000
χ432222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-1-2211-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-100-2-2221111-1-1-1-1-2-2222-2-2-1-111110000000000011-1-1000000000
χ442222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-1-2211-1-1-2-2-2-2-1-1-1-111111111-2-2111100-2-2221111-1-1-1-122-2-2-22211-1-1-1-100000000000-1-111000000000
χ452-22-22-2222-2-222-2-22-2-22-2-222222-2-222-2-2-2-2-2-2220000002-22-2-2-22222-2-222-2-2000000000000000000002-202-200000000000000000002-22-2000000000
χ462-22-22-2222-2-222-2-22-2-22-2-222222-2-222-2-2-2-2-2-2220000002-22-2-2-22222-2-222-2-200000000000000000000-220-220000000000000000000-22-22000000000
χ472-22-22-2222-2-222-2-22-2-2-22-222222-2-2-2-222-2-2-2-222000000-22-22-2-222-2-222-2-222000000000000000000002-20-2200000000000000000002-2-22000000000
χ482-22-22-2222-2-222-2-22-2-2-22-222222-2-2-2-222-2-2-2-222000000-22-22-2-222-2-222-2-22200000000000000000000-2202-20000000000000000000-222-2000000000
χ492-22-2-1-222211-12-2-22-2-22-21-1-1-122-2-2-1-1111111-1-100−i3i3−i3i32-22-211-1-1-1-111-1-11100−i3−i3i3i3000000−i3i3−i3i3−i3i3−i3i32-202-200−i3i3−i3−i3i3i300000000000-11-11000000000
χ502-22-2-1-222211-12-2-22-2-22-21-1-1-122-2-2-1-1111111-1-100−i3i3−i3i32-22-211-1-1-1-111-1-11100i3i3−i3−i3000000−i3i3−i3i3−i3i3−i3i3-220-2200i3−i3i3i3−i3−i3000000000001-11-1000000000
χ512-22-2-1-222211-12-2-22-2-22-21-1-1-122-2-2-1-1111111-1-100i3−i3i3−i32-22-211-1-1-1-111-1-11100−i3−i3i3i3000000i3−i3i3−i3i3−i3i3−i3-220-2200−i3i3−i3−i3i3i3000000000001-11-1000000000
χ522-22-2-1-222211-12-2-22-2-22-21-1-1-122-2-2-1-1111111-1-100i3−i3i3−i32-22-211-1-1-1-111-1-11100i3i3−i3−i3000000i3−i3i3−i3i3−i3i3−i32-202-200i3−i3i3i3−i3−i300000000000-11-11000000000
χ532-22-2-1-222211-12-2-22-2-2-221-1-1-122-2-211-1-11111-1-100−i3i3i3−i3-22-2211-1-111-1-111-1-100−i3−i3i3i3000000−i3i3−i3i3i3−i3i3−i32-20-2200−i3i3i3i3−i3−i300000000000-111-1000000000
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χ1118-88-8-48-8−2+25−2−2544-4−2+252−252−25−2−252+252+2500-441−51+52−252+25−2+25−2−250000−1+5−1+5−1−5−1−51−51+500000000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88800−2−25−2+25-88-82+252+25−2−252−252−25−2+250000−2−25−2+25000000002+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88800−2+25−2−25-88-82−252−25−2+252+252+25−2−250000−2+25−2−25000000002−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-400−2−25−2+254-442+252+25−2−252−252−25−2+2500001+51−5000026−26−2626−1−51+5−1+51−5−1−5−1+500000000000000−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−ζ103ζ29−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+ζ119000000000000000000000000000000000000000000000000000000000
χ1158-8-88-400−2−25−2+254-442+252+25−2−252−252−25−2+2500001+51−50000−262626−26−1−51+5−1+51−5−1−5−1+500000000000000ζ7+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+ζ103−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−ζ119000000000000000000000000000000000000000000000000000000000
χ1168-8-88-400−2+25−2−254-442−252−25−2+252+252+25−2−2500001−51+5000026−26−2626−1+51−5−1−51+5−1+5−1−500000000000000ζ29−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−ζ103000000000000000000000000000000000000000000000000000000000
χ1178-8-88-400−2+25−2−254-442−252−25−2+252+252+25−2−2500001−51+50000−262626−26−1+51−5−1−51+5−1+5−1−500000000000000−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+ζ103000000000000000000000000000000000000000000000000000000000

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