Finite Group Databasebeta

← Group #14284748

Character table — Group #14284748

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222224444444444444444444555588888888888888888888888810101010101010101616161616161616161616162020202020202040404040404060606060606060606060606060606060
order122234444666451010101212121212121515303030303030444444121212122020202020206060606060606060606060604444121212122020202060606060606060602661212121244121212128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111-1-1-1-11111111111-1-1-1-11111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111-1-1-1-11111111111-1-1-1-11111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111-1-1-1-11111111111-1-1-1-1111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111-1-1-1-11111111111-1-1-1-1111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1-1-111
χ1411111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-11111-1-1
χ1511111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-111111-111-1-111-1-1-1-111-1-11111-1-1
χ1611111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-111111-111-1-1-1-11111-1-111-1-1-1-111
χ172222222-2-2222-22222-2-222-2-2222222222222000000-2-222-2-2-2-2-2-22222-2-2-2-222-2-22222000000000000-2-2-222-2-20000000000000000000000
χ182222222-2-2222-22222-2-222-2-222222222-2-2-2-2000000-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2000000000000222-2-2220000000000000000000000
χ1922222-2-222222-22222-2-2-2-222222222222222000000-2-2-2-222-2-2-2-2-2-2-2-22222-2-2222222000000000000-2-2-2-2-2220000000000000000000000
χ2022222-2-222222-22222-2-2-2-22222222222-2-2-2-2000000-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000022222-2-20000000000000000000000
χ212222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-10000000000000000
χ222222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111112-1-1-1-1-1-1-2-211110000000000000000
χ232222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2111111-2-211110000000000000000
χ242222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111-211111122-1-1-1-10000000000000000
χ252222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1222200−i3i3−i3i3-2-222-2-21111-1-1-1-1111122-2-2-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-211-1-11100−i3i3−i3i30000000000000000
χ262222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1222200i3−i3i3−i3-2-222-2-21111-1-1-1-1111122-2-2-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-211-1-11100i3−i3i3−i30000000000000000
χ272222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-200−i3i3−i3i3-2-222-2-21111-1-1-1-11111-2-22211110000−i3−i3i3i3−i3−i3i3i32-1-111-1-100i3−i3i3−i30000000000000000
χ282222-122-2-2-1-1-1-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-200i3−i3i3−i3-2-222-2-21111-1-1-1-11111-2-22211110000i3i3−i3−i3i3i3−i3−i32-1-111-1-100−i3i3−i3i30000000000000000
χ292222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1222200−i3i3i3−i3-2-2-2-22211111111-1-1-1-1-2-222-1-1-1-10000−i3−i3i3i3i3i3−i3−i3-21111-1-100−i3i3i3−i30000000000000000
χ302222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1222200i3−i3−i3i3-2-2-2-22211111111-1-1-1-1-2-222-1-1-1-10000i3i3−i3−i3−i3−i3i3i3-21111-1-100i3−i3−i3i30000000000000000
χ312222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-200−i3i3i3−i3-2-2-2-22211111111-1-1-1-122-2-211110000−i3−i3i3i3i3i3−i3−i32-1-1-1-11100i3−i3−i3i30000000000000000
χ322222-1-2-222-1-1-1-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-200i3−i3−i3i3-2-2-2-22211111111-1-1-1-122-2-211110000i3i3−i3−i3−i3−i3i3i32-1-1-1-11100−i3i3i3−i30000000000000000
χ332222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-122222-2-1-11122-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-1-122-2-2-1-1-1-111112-1-111112-2-1-1110000000000000000
χ342222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-12222-2211-1-122-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-1-1-2-2221111-1-1-1-12-1-11111-2211-1-10000000000000000
χ352222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-1-2-2-2-22-2-1-11122-2-2-2-2-1-1-1-1111111112222111122-2-2-1-1-1-11111-211-1-1-1-1-2211-1-10000000000000000
χ362222-1-2-2-2-2-1-1-122222-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-2211-1-122-2-2-2-2-1-1-1-11111111122221111-2-2221111-1-1-1-1-211-1-1-1-12-2-1-1110000000000000000
χ372-22-22002i−2i-22-202-22-200002i−2i22-2-222-2-22i2i−2i−2i00000000002i−2i000000002i2i−2i−2i002-22i2i−2i−2i000000000000000002-20000002−2−i2i2−i2i22−200000000
χ382-22-22002i−2i-22-202-22-200002i−2i22-2-222-2-22i2i−2i−2i00000000002i−2i000000002i2i−2i−2i002-22i2i−2i−2i000000000000000002-2000000−22i2−i2i2−i2−2200000000
χ392-22-22002i−2i-22-202-22-200002i−2i22-2-222-2-2−2i−2i2i2i00000000002i−2i000000002i2i−2i−2i00-22−2i−2i2i2i00000000000000000-22000000−i2i2−222−2i2−i200000000
χ402-22-22002i−2i-22-202-22-200002i−2i22-2-222-2-2−2i−2i2i2i00000000002i−2i000000002i2i−2i−2i00-22−2i−2i2i2i00000000000000000-22000000i2−i22−2−22−i2i200000000
χ412-22-2200−2i2i-22-202-22-20000−2i2i22-2-222-2-22i2i−2i−2i0000000000−2i2i00000000−2i−2i2i2i00-222i2i−2i−2i00000000000000000-22000000−i2i22−2−22i2−i200000000
χ422-22-2200−2i2i-22-202-22-20000−2i2i22-2-222-2-22i2i−2i−2i0000000000−2i2i00000000−2i−2i2i2i00-222i2i−2i−2i00000000000000000-22000000i2−i2−222−2−i2i200000000
χ432-22-2200−2i2i-22-202-22-20000−2i2i22-2-222-2-2−2i−2i2i2i0000000000−2i2i00000000−2i−2i2i2i002-2−2i−2i2i2i000000000000000002-20000002−2i2−i2i2−i22−200000000
χ442-22-2200−2i2i-22-202-22-20000−2i2i22-2-222-2-2−2i−2i2i2i0000000000−2i2i00000000−2i−2i2i2i002-2−2i−2i2i2i000000000000000002-2000000−22−i2i2−i2i2−2200000000
χ452-2-2222i−2i00-2-2202-2-22002i−2i0022-2-2-2-2222i−2i2i−2i000000002i−2i0000002i2i−2i−2i00002-2002i−2i2i−2i0000000000000002-20000000000000000−i2i22−22−2−i2i2
χ462-2-2222i−2i00-2-2202-2-22002i−2i0022-2-2-2-2222i−2i2i−2i000000002i−2i0000002i2i−2i−2i00002-2002i−2i2i−2i0000000000000002-20000000000000000i2−i2−22−22i2−i2
χ472-2-2222i−2i00-2-2202-2-22002i−2i0022-2-2-2-222−2i2i−2i2i000000002i−2i0000002i2i−2i−2i0000-2200−2i2i−2i2i000000000000000-2200000000000000002−2i2−i2−i2i2−22
χ482-2-2222i−2i00-2-2202-2-22002i−2i0022-2-2-2-222−2i2i−2i2i000000002i−2i0000002i2i−2i−2i0000-2200−2i2i−2i2i000000000000000-220000000000000000−22−i2i2i2−i22−2
χ492-2-222−2i2i00-2-2202-2-2200−2i2i0022-2-2-2-2222i−2i2i−2i00000000−2i2i000000−2i−2i2i2i0000-22002i−2i2i−2i000000000000000-2200000000000000002−2−i2i2i2−i2−22
χ502-2-222−2i2i00-2-2202-2-2200−2i2i0022-2-2-2-2222i−2i2i−2i00000000−2i2i000000−2i−2i2i2i0000-22002i−2i2i−2i000000000000000-220000000000000000−22i2−i2−i2i22−2
χ512-2-222−2i2i00-2-2202-2-2200−2i2i0022-2-2-2-222−2i2i−2i2i00000000−2i2i000000−2i−2i2i2i00002-200−2i2i−2i2i0000000000000002-20000000000000000−i2i2−22−22−i2i2
χ522-2-222−2i2i00-2-2202-2-2200−2i2i0022-2-2-2-222−2i2i−2i2i00000000−2i2i000000−2i−2i2i2i00002-200−2i2i−2i2i0000000000000002-20000000000000000i2−i22−22−2i2−i2
χ534444444444444-1-1-1-1444444-1-1-1-1-1-1-1-10000444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ544444444444444-1-1-1-1444444-1-1-1-1-1-1-1-10000-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111111100000000000000000000000000000
χ554444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-1000000000011-1-1111111-1-1-1-1111100000000−55−55−55−55−55−5500000000000000000000000000000
χ564444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-1000000000011-1-1111111-1-1-1-11111000000005−55−55−55−55−55−500000000000000000000000000000
χ5744444-4-444444-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-100000000001111-1-111111111-1-1-1-100000000−555−5−55−555−55−500000000000000000000000000000
χ5844444-4-444444-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-100000000001111-1-111111111-1-1-1-1000000005−5−555−55−5−55−5500000000000000000000000000000
χ5944444-4-4-4-44444-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-100004-444-4-4-1-11111-1-1-1-11111111100000000-1-111-1-1-1-1111100000000000000000000000000000
χ6044444-4-4-4-44444-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-10000-44-4-444-1-11111-1-1-1-1111111110000000011-1-11111-1-1-1-100000000000000000000000000000
χ614444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000044-2-2-2-2-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000-1-1-1-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i15200000000000000000000000000000
χ624444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-4-42222-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000001111−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i15200000000000000000000000000000
χ634444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000044-2-2-2-2-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000-1-1-1-11+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i15200000000000000000000000000000
χ644444-24444-2-2-24-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-4-42222-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000001111−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i15200000000000000000000000000000
χ654444-244-4-4-2-2-2-4-1-1-1-122-2-2221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000−2i32i3−2i32i311-1-111−1+i152−1+i152−1−i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000005−55−5ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ11600000000000000000000000000000
χ664444-244-4-4-2-2-2-4-1-1-1-122-2-2221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000002i3−2i32i3−2i311-1-111−1+i152−1+i152−1−i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000−55−55−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ11600000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.