Finite Group Databasebeta

← Group #14284589

Character table — Group #14284589

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222224444444444444444444555588888888888888888888888810101010101010101616161616161616161616162020202020202040404040404060606060606060606060606060606060
order12222234466645661010101212121215153030303030304444246610101212202020203030303060606060606060604444121212121010202030303030606060604121212121212246612128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-11-1-111111-1-111111-1-11111111111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-11-1-111ii−i−iii−i−iii−i−iii−i−i
χ101111-1-11-1-111111-1-111111-1-11111111111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-11-1-111−i−iii−i−iii−i−iii−i−iii
χ111111-1-11-1-111111-1-111111-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-11-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ121111-1-11-1-111111-1-111111-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-11-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ131111-1-11-1-111111-1-111111-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-111111-111-1-111-1-1-1-11111-1-1-1-111
χ141111-1-11-1-111111-1-111111-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-1
χ151111-1-11-1-111111-1-111111-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11111-11-1-11111-1-1-1-111-1-11111-1-1
χ161111-1-11-1-111111-1-111111-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11111-11-1-111-1-11111-1-111-1-1-1-111
χ172222222-2-2222-2222222-2-2-2-222222222222200002200-2-2-2-22222-2-2-2-2-2-2-2-22-2-222222000000000000-2-2-2-2-2220000000000000000000000
χ182222222-2-2222-2222222-2-2-2-222222222-2-2-2-200002200-2-2-2-22222-2-2-2-2-2-2-2-2-222-2-2-2-2-200000000000022222-2-20000000000000000000000
χ19222222-122-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-10000000000000000
χ20222222-122-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111112-1-1-1-1-1-1-2-211110000000000000000
χ21222222-122-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2111111-2-211110000000000000000
χ22222222-122-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111-211111122-1-1-1-10000000000000000
χ23222222-1-2-2-1-1-1-22-1-12221111-1-1-1-1-1-1-1-1222200−i3i322−i3i3-2-2-2-2-1-1-1-1111111112-2-22-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-21111-1-100−i3i3−i3i30000000000000000
χ24222222-1-2-2-1-1-1-22-1-12221111-1-1-1-1-1-1-1-1222200i3−i322i3−i3-2-2-2-2-1-1-1-1111111112-2-22-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-21111-1-100i3−i3i3−i30000000000000000
χ25222222-1-2-2-1-1-1-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-200−i3i322−i3i3-2-2-2-2-1-1-1-111111111-222-211110000−i3−i3i3i3−i3−i3i3i32-1-1-1-11100i3−i3i3−i30000000000000000
χ26222222-1-2-2-1-1-1-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-200i3−i322i3−i3-2-2-2-2-1-1-1-111111111-222-211110000i3i3−i3−i3i3i3−i3−i32-1-1-1-11100−i3i3−i3i30000000000000000
χ272222-2-2222222-22-2-2222-2-2222222222222220000-2-200-2-222-2-2-2-2-2-2-2-22222-222-22222000000000000-2-2-222-2-20000000000000000000000
χ282222-2-2222222-22-2-2222-2-22222222222-2-2-2-20000-2-200-2-222-2-2-2-2-2-2-2-222222-2-22-2-2-2-2000000000000222-2-2220000000000000000000000
χ292222-2-2-122-1-1-1-221122211-1-1-1-1-1-1-1-1-1-1222200−i3i3-2-2i3−i3-2-22211111111-1-1-1-1-222-2-1-1-1-10000−i3−i3i3i3i3i3−i3−i3-211-1-11100i3−i3−i3i30000000000000000
χ302222-2-2-122-1-1-1-221122211-1-1-1-1-1-1-1-1-1-1222200i3−i3-2-2−i3i3-2-22211111111-1-1-1-1-222-2-1-1-1-10000i3i3−i3−i3−i3−i3i3i3-211-1-11100−i3i3i3−i30000000000000000
χ312222-2-2-122-1-1-1-221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-200−i3i3-2-2i3−i3-2-22211111111-1-1-1-12-2-2211110000−i3−i3i3i3i3i3−i3−i32-1-111-1-100−i3i3i3−i30000000000000000
χ322222-2-2-122-1-1-1-221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-200i3−i3-2-2−i3i3-2-22211111111-1-1-1-12-2-2211110000i3i3−i3−i3−i3−i3i3i32-1-111-1-100i3−i3−i3i30000000000000000
χ332222-2-2-1-2-2-1-1-12211222-1-111-1-1-1-1-1-1-1-122222-2-1-1-2-21122-2-21111-1-1-1-11111-2-2-2-2-1-1-1-122-2-2-1-1-1-111112-1-11111-2211-1-10000000000000000
χ342222-2-2-1-2-2-1-1-12211222-1-111-1-1-1-1-1-1-1-12222-2211-2-2-1-122-2-21111-1-1-1-11111-2-2-2-2-1-1-1-1-2-2221111-1-1-1-12-1-111112-2-1-1110000000000000000
χ352222-2-2-1-2-2-1-1-12211222-1-111-1-1-1-1-1-1-1-1-2-2-2-22-2-1-1-2-21122-2-21111-1-1-1-111112222111122-2-2-1-1-1-11111-211-1-1-1-12-2-1-1110000000000000000
χ362222-2-2-1-2-2-1-1-12211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2211-2-2-1-122-2-21111-1-1-1-1111122221111-2-2221111-1-1-1-1-211-1-1-1-1-2211-1-10000000000000000
χ372-22-20022i−2i-22-202002-2-2002i−2i2222-2-2-2-22i2i−2i−2i00000000002i−2i000000002i2i−2i−2i02-202i2i−2i−2i0000000000000002-200000000000000002−2−i2i2−i2i22−2
χ382-22-20022i−2i-22-202002-2-2002i−2i2222-2-2-2-22i2i−2i−2i00000000002i−2i000000002i2i−2i−2i02-202i2i−2i−2i0000000000000002-20000000000000000−22i2−i2i2−i2−22
χ392-22-20022i−2i-22-202002-2-2002i−2i2222-2-2-2-2−2i−2i2i2i00000000002i−2i000000002i2i−2i−2i0-220−2i−2i2i2i000000000000000-220000000000000000−i2i2−222−2i2−i2
χ402-22-20022i−2i-22-202002-2-2002i−2i2222-2-2-2-2−2i−2i2i2i00000000002i−2i000000002i2i−2i−2i0-220−2i−2i2i2i000000000000000-220000000000000000i2−i22−2−22−i2i2
χ412-22-2002−2i2i-22-202002-2-200−2i2i2222-2-2-2-22i2i−2i−2i0000000000−2i2i00000000−2i−2i2i2i0-2202i2i−2i−2i000000000000000-220000000000000000−i2i22−2−22i2−i2
χ422-22-2002−2i2i-22-202002-2-200−2i2i2222-2-2-2-22i2i−2i−2i0000000000−2i2i00000000−2i−2i2i2i0-2202i2i−2i−2i000000000000000-220000000000000000i2−i2−222−2−i2i2
χ432-22-2002−2i2i-22-202002-2-200−2i2i2222-2-2-2-2−2i−2i2i2i0000000000−2i2i00000000−2i−2i2i2i02-20−2i−2i2i2i0000000000000002-200000000000000002−2i2−i2i2−i22−2
χ442-22-2002−2i2i-22-202002-2-200−2i2i2222-2-2-2-2−2i−2i2i2i0000000000−2i2i00000000−2i−2i2i2i02-20−2i−2i2i2i0000000000000002-20000000000000000−22−i2i2−i2i2−22
χ452-2-222-2200-2-22022-2-22-2000022-2-222-2-22-22-200002-200000022-2-200000000200-22-22-2000000000000000002-2000000−i2i2−i2i2−i2i2−i2i200000000
χ462-2-222-2200-2-22022-2-22-2000022-2-222-2-22-22-200002-200000022-2-200000000200-22-22-2000000000000000002-2000000i2−i2i2−i2i2−i2i2−i200000000
χ472-2-222-2200-2-22022-2-22-2000022-2-222-2-2-22-2200002-200000022-2-200000000-2002-22-2200000000000000000-220000002−22−2−22−2200000000
χ482-2-222-2200-2-22022-2-22-2000022-2-222-2-2-22-2200002-200000022-2-200000000-2002-22-2200000000000000000-22000000−22−222−22−200000000
χ492-2-22-22200-2-2202-22-22-2000022-2-222-2-22-22-20000-22000000-2-22200000000-20022-22-200000000000000000-220000002−2−222−2−2200000000
χ502-2-22-22200-2-2202-22-22-2000022-2-222-2-22-22-20000-22000000-2-22200000000-20022-22-200000000000000000-22000000−222−2−222−200000000
χ512-2-22-22200-2-2202-22-22-2000022-2-222-2-2-22-220000-22000000-2-22200000000200-2-22-22000000000000000002-2000000−i2i2i2−i2i2−i2−i2i200000000
χ522-2-22-22200-2-2202-22-22-2000022-2-222-2-2-22-220000-22000000-2-22200000000200-2-22-22000000000000000002-2000000i2−i2−i2i2−i2i2i2−i200000000
χ534444444444444-144-1-1-14444-1-1-1-1-1-1-1-100004444-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ544444444444444-144-1-1-14444-1-1-1-1-1-1-1-10000-4-4-4-4-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111111100000000000000000000000000000
χ554444444-4-4444-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1001111-1-1-1-11111111100000000−55−55−55−55−55−5500000000000000000000000000000
χ564444444-4-4444-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1001111-1-1-1-111111111000000005−55−55−55−55−55−500000000000000000000000000000
χ57444444-244-2-2-24-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000044-2-2-1-1-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i15200000000-1-1-1-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i15200000000000000000000000000000
χ58444444-244-2-2-24-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-4-422-1-122-1-1-1-11−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
χ59444444-244-2-2-24-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000044-2-2-1-1-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i15200000000-1-1-1-11+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i15200000000000000000000000000000
χ60444444-244-2-2-24-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-4-422-1-122-1-1-1-11+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
χ61444444-2-4-4-2-2-2-4-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000−2i32i3-1-1−2i32i311111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−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
χ62444444-2-4-4-2-2-2-4-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000002i3−2i3-1-12i3−2i311111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−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
χ63444444-2-4-4-2-2-2-4-1-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000−2i32i3-1-1−2i32i311111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000−55−55ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ9200000000000000000000000000000
χ64444444-2-4-4-2-2-2-4-1-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000002i3−2i3-1-12i3−2i311111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152−1+i152000000005−55−5−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ9200000000000000000000000000000
χ654444-4-4444444-4-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-100000000110011-1-111111111-1-1-1-100000000−555−5−55−555−55−500000000000000000000000000000
χ664444-4-4444444-4-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-100000000110011-1-111111111-1-1-1-1000000005−5−555−55−5−55−5500000000000000000000000000000
χ674444-4-44-4-44444-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-100004-44411-4-4-1-1111111-1-1-1-1111100000000-1-111-1-1-1-1111100000000000000000000000000000
χ684444-4-44-4-44444-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-10000-44-4-41144-1-1111111-1-1-1-111110000000011-1-11111-1-1-1-100000000000000000000000000000
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χ998-88-800-48i−8i4-440-200-22200−4i4i1−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i1500000000000000−2i2i000000002ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ940000000000000000000000000000000000000000000000000
χ1008-88-800-48i−8i4-440-200-22200−4i4i1+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i1500000000000000−2i2i000000002ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1180000000000000000000000000000000000000000000000000
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χ1078-8-88-88-40044-40-24-42-2200001−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i15000000002-2000000−1+i15−1−i151−i151+i15000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-40044-40-24-42-2200001+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i15000000002-2000000−1−i15−1+i151+i151−i15000000000000000000000000000000000000000000000000000000000

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