Finite Group Databasebeta

← Group #14301096

Character table — Group #14301096

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444444444444445555888888888888888888888881010101010101616161616161616161616162020202020202020202030303030404040404060606060606060606060120120
order12223446664458810101012121515242424243030303030302222266121220204040404060606060120120120120120120120120446666101020203030303060606060448812122424242444442661212444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1iii−i−i−iii−i−ii−i
χ411111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1−i−i−iiii−i−iii−ii
χ51111111111111-1-11111111-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-111111111-1-1-1-1-1-1
χ61111111111111-1-11111111-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111ii−i−i111-1-1iii−i−i−i−i−iii−ii
χ81111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111−i−iii111-1-1−i−i−iiiiii−i−ii−i
χ91111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-11-1-11111-1-1
χ101111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1ii−i−i11111i−i−i−iiiii−i−i−ii
χ121111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1−i−iii11111−iiii−i−i−i−iiii−i
χ131111111111-1-11-1-11111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-11-1-1-1-1-1-111
χ141111111111-1-11-1-11111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1111111-1-1
χ151111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111ii−i−i-1-1-111i−i−i−iii−i−iiii−i
χ161111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111−i−iii-1-1-111−iiii−i−iii−i−i−ii
χ1722222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000222200000-200-200000000
χ1822222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000-2-2-2-200000200200000000
χ1922222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-200000000000000002200002i2i−2i−2i00000−2i002i00000000
χ2022222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-20000000000000000220000−2i−2i2i2i000002i00−2i00000000
χ212222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-100002-1-1-1-1000000000000
χ222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-21111110000-21111000000000000
χ232222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-12222-211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2221111-1-1-1-122-2-2-1-111110000-211-1-1000000000000
χ242222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-211-1-122-2-2-2-2-1-1-1-111111111-2-21111-2-2221111-1-1-1-1-2-22211-1-1-1-100002-1-111000000000000
χ252222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-21111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222-1-1-1-1-1-10000-21111000000000000
χ262222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-2-211111100002-1-1-1-1000000000000
χ272222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-122222-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-122-2-2-1-1-1-11111-2-2-2-2-1-1111100002-1-111000000000000
χ282222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-22-1-11122-2-2-2-2-1-1-1-111111111-2-2111122-2-2-1-1-1-11111222211-1-1-1-10000-211-1-1000000000000
χ2922-2-22002-2-2002−i2i22-2-20022−i2−i2i2i222-2-2-2-22-2-220000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i20022-2-200000000000000−i2i200−i2−i2i2i22i−2i2i−2i000000000002−22−200
χ3022-2-22002-2-2002−i2i22-2-20022−i2−i2i2i222-2-2-2-22-2-220000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i20022-2-200000000000000−i2i200−i2−i2i2i2−2i2i−2i2i00000000000−22−2200
χ3122-2-22002-2-2002−i2i22-2-20022−i2−i2i2i222-2-2-2-2-222-20000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i200-2-22200000000000000i2−i200i2i2−i2−i22-2-2200000000000−i2i2i2−i200
χ3222-2-22002-2-2002−i2i22-2-20022−i2−i2i2i222-2-2-2-2-222-20000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i200-2-22200000000000000i2−i200i2i2−i2−i2-222-200000000000i2−i2−i2i200
χ3322-2-22002-2-2002i2−i22-2-20022i2i2−i2−i222-2-2-2-22-2-220000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i20022-2-200000000000000i2−i200i2i2−i2−i22i−2i2i−2i00000000000−22−2200
χ3422-2-22002-2-2002i2−i22-2-20022i2i2−i2−i222-2-2-2-22-2-220000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i20022-2-200000000000000i2−i200i2i2−i2−i2−2i2i−2i2i000000000002−22−200
χ3522-2-22002-2-2002i2−i22-2-20022i2i2−i2−i222-2-2-2-2-222-20000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i200-2-22200000000000000−i2i200−i2−i2i2i22-2-2200000000000i2−i2−i2i200
χ3622-2-22002-2-2002i2−i22-2-20022i2i2−i2−i222-2-2-2-2-222-20000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i200-2-22200000000000000−i2i200−i2−i2i2i2-222-200000000000−i2i2i2−i200
χ372-2-2222-2-2-2200200-2-222-2220000-2-2-2-2222-22-2000002-2000022-2-2000000002-22-22-200000000000000002-2000000000000002i−2i02i−2i000000
χ382-2-2222-2-2-2200200-2-222-2220000-2-2-2-2222-22-2000002-2000022-2-2000000002-22-22-200000000000000002-200000000000000−2i2i0−2i2i000000
χ392-2-2222-2-2-2200200-2-222-2220000-2-2-2-222-22-22000002-2000022-2-200000000-22-22-220000000000000000-22000000000000002-20-22000000
χ402-2-2222-2-2-2200200-2-222-2220000-2-2-2-222-22-22000002-2000022-2-200000000-22-22-220000000000000000-2200000000000000-2202-2000000
χ412-2-222-22-2-222-2200-2-22-22220000-2-2-2-2222-22-20002-2-220000-2-22200000000-222-22-2002-2000022-2-22-200-22000000000002-2000000000000
χ422-2-222-22-2-222-2200-2-22-22220000-2-2-2-222-22-220002-2-220000-2-222000000002-2-22-22002-2000022-2-2-22002-200000000000-22000000000000
χ432-2-222-22-2-22-22200-2-22-22220000-2-2-2-2222-22-2000-22-220000-2-22200000000-222-22-200-220000-2-222-2200-2200000000000-22000000000000
χ442-2-222-22-2-22-22200-2-22-22220000-2-2-2-222-22-22000-22-220000-2-222000000002-2-22-2200-220000-2-2222-2002-2000000000002-2000000000000
χ452-2-22-1-2211-12-2200-2-221-1-1-1−i3i3−i3i31111-1-12-22-20−i3i3-11-22000011-1-1−i3−i3i3i3−i3−i3i3i3-22-11-11002-2−i3−i3i3i3-1-1112-2001-1−i3i3−i3i300000−i3i3-11000000000000
χ462-2-22-1-2211-12-2200-2-221-1-1-1−i3i3−i3i31111-1-1-22-220−i3i3-11-22000011-1-1−i3−i3i3i3−i3−i3i3i32-21-11-1002-2−i3−i3i3i3-1-111-2200-11i3−i3i3−i300000i3−i31-1000000000000
χ472-2-22-1-2211-12-2200-2-221-1-1-1i3−i3i3−i31111-1-12-22-20i3−i3-11-22000011-1-1i3i3−i3−i3i3i3−i3−i3-22-11-11002-2i3i3−i3−i3-1-1112-2001-1i3−i3i3−i300000i3−i3-11000000000000
χ482-2-22-1-2211-12-2200-2-221-1-1-1i3−i3i3−i31111-1-1-22-220i3−i3-11-22000011-1-1i3i3−i3−i3i3i3−i3−i32-21-11-1002-2i3i3−i3−i3-1-111-2200-11−i3i3−i3i300000−i3i31-1000000000000
χ492-2-22-1-2211-1-22200-2-221-1-1-1−i3i3−i3i31111-1-12-22-20i3−i31-1-22000011-1-1−i3−i3i3i3−i3−i3i3i3-22-11-1100-22i3i3−i3−i311-1-1-22001-1−i3i3−i3i300000i3−i31-1000000000000
χ502-2-22-1-2211-1-22200-2-221-1-1-1−i3i3−i3i31111-1-1-22-220i3−i31-1-22000011-1-1−i3−i3i3i3−i3−i3i3i32-21-11-100-22i3i3−i3−i311-1-12-200-11i3−i3i3−i300000−i3i3-11000000000000
χ512-2-22-1-2211-1-22200-2-221-1-1-1i3−i3i3−i31111-1-12-22-20−i3i31-1-22000011-1-1i3i3−i3−i3i3i3−i3−i3-22-11-1100-22−i3−i3i3i311-1-1-22001-1i3−i3i3−i300000−i3i31-1000000000000
χ522-2-22-1-2211-1-22200-2-221-1-1-1i3−i3i3−i31111-1-1-22-220−i3i31-1-22000011-1-1i3i3−i3−i3i3i3−i3−i32-21-11-100-22−i3−i3i3i311-1-12-200-11−i3i3−i3i300000i3−i3-11000000000000
χ53444444444444-144-1-1-144-1-14444-1-1-1-1-1-1000044444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000
χ54444444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-4-4-444-1-11111-1-1-1-11111111100000011-1-11111-1-1-1-10000000000000000000000000000000
χ554444444444-4-4-144-1-1-144-1-14444-1-1-1-1-1-10000-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000001111111111110000000000000000000000000000000
χ564444444444-4-4-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000444-4-4-1-11111-1-1-1-111111111000000-1-111-1-1-1-111110000000000000000000000000000000
χ574444-244-2-2-244-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i15200004-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000000000000000000000000000000
χ584444-244-2-2-244-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i15200004-2-2-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000000000000000000000000000000
χ594444-244-2-2-244-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521+i1521−i1521+i1520000-422-2-2-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i1520000000000000000000000000000000
χ604444-244-2-2-244-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i1520000-422-2-2-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i1520000000000000000000000000000000
χ614444-244-2-2-2-4-4-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1520000-42222-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000
χ624444-244-2-2-2-4-4-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1520000-42222-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000
χ634444-244-2-2-2-4-4-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521+i1521−i1521+i15200004-2-222-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000
χ644444-244-2-2-2-4-4-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i15200004-2-222-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000
χ654444-2-4-4-2-2-20040044422-2-20000-2-2-2-2-2-2444400000-4-40000222200000000-4-4-2-2-2-20000000000000000220000000000000000000000000
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χ6844-4-4-200-222004−2i22i24-4-400-2-2i2i2−i2−i2-2-22222-444-40000000−2i2−2i22i22i20000i2i2i2i2−i2−i2−i2−i20022-2-2000000000000002i2−2i200−i2−i2i2i2000000000000000000000
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χ714-44-4400-44-400400-44-400440000-4-444-4-444-4-400000000000000000000000004-4-440000000000000000000000000000000000000000000
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χ1088-8-88-48-844-400-20022-2-441+i151−i150000−1−i15−1+i15−1−i15−1+i151+i151−i15000000000-2200001+i151−i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000

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