Finite Group Databasebeta

← Group #14284903

Character table — Group #14284903

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020204040404040406060606060606060120120120120
order1222223446666666451010101010101012121212151530303030303030303030303030304412121212202020202020202020202020606060606060606060606060606060606060606060606060444444412121212121212124412121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ91111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-11-111-1-1ii−i−iii−i−ii−ii−i
χ101111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-11-111-1-1−i−iii−i−iii−ii−ii
χ111111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-11111-1-1-1-1111-1-11
χ121111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-111-1-11111-1-1-111-1
χ131111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-11-1-111ii−i−iii−i−i−ii−ii
χ141111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-11-1-111−i−iii−i−iiii−ii−i
χ151111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111111-111-1-111-1-1-1-111-111-1
χ161111-1-11-1-1-1-1-1-11111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111111-111-1-1-1-11111-1-11-1-11
χ172222222-2-22222222-222222222-2-2-2-22222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000222-2-22-222-2-222-2-2000000000000000000
χ182222222-2-22222222-222222222-2-2-2-22222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-222-22-2-222-2-222000000000000000000
χ19222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ20222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111-2-21111000000000000
χ21222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222222-1-1-1-1-1-1-1-1-2-21111000000000000
χ22222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-21111111122-1-1-1-1000000000000
χ23222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3222-2-22-2-1-111-1-11100−i3i3−i3i3000000000000
χ24222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2-222-2211-1-111-1-100i3−i3i3−i3000000000000
χ25222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3222-2-22-2-1-111-1-11100i3−i3i3−i3000000000000
χ26222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2-222-2211-1-111-1-100−i3i3−i3i3000000000000
χ272222-2-2222-2-2-2-2222-2222-2-2-2-22-2-222222222-2-2-2-2-2-2-2-222000000-2-22200000000-2-2-2-22222000000000000000022-222-2-222-2-2-2-222000000000000000000
χ282222-2-2222-2-2-2-2222-2222-2-2-2-22-2-222222222-2-2-2-2-2-2-2-222000000-2-22200000000-2-2-2-222220000000000000000-2-22-2-222-2-22222-2-2000000000000000000
χ292222-2-2-1221111-1-1-1-2222-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322-222-2-2-1-11111-1-100−i3i3i3−i3000000000000
χ302222-2-2-1221111-1-1-1-2222-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-22-2-22211-1-1-1-11100i3−i3−i3i3000000000000
χ312222-2-2-1221111-1-1-1-2222-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322-222-2-2-1-11111-1-100i3−i3−i3i3000000000000
χ322222-2-2-1221111-1-1-1-2222-2-2-2-2211-1-1-1-1-1-1-1-111111111-1-100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-22-2-22211-1-1-1-11100−i3i3i3−i3000000000000
χ332222-2-2-1-2-21111-1-1-12222-2-2-2-22-1-111-1-1-1-1-1-111111111-1-12-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-2-2-22-1-1-1-111112-2-1-111000000000000
χ342222-2-2-1-2-21111-1-1-12222-2-2-2-22-1-111-1-1-1-1-1-111111111-1-12-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-22222-21111-1-1-1-1-2211-1-1000000000000
χ352222-2-2-1-2-21111-1-1-12222-2-2-2-22-1-111-1-1-1-1-1-111111111-1-1-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-11111-2211-1-1000000000000
χ362222-2-2-1-2-21111-1-1-12222-2-2-2-22-1-111-1-1-1-1-1-111111111-1-1-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222-21111-1-1-1-12-2-1-111000000000000
χ3722-2-22-220022-2-22-2-2022-222-2-2-200002222-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000002-2200-202-2002-2000000002−22−22−22−20000
χ3822-2-22-220022-2-22-2-2022-222-2-2-200002222-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000002-2200-202-2002-200000000−22−22−22−220000
χ3922-2-22-220022-2-22-2-2022-222-2-2-200002222-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000-22-20020-2200-2200000000−i2i2−i2i2i2−i2i2−i20000
χ4022-2-22-220022-2-22-2-2022-222-2-2-200002222-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000-22-20020-2200-2200000000i2−i2i2−i2−i2i2−i2i20000
χ4122-2-2-22200-2-2222-2-2022-2-2-222-200002222-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000002-2-200202-200-2200000000−i2i2i2−i2−i2i2i2−i20000
χ4222-2-2-22200-2-2222-2-2022-2-2-222-200002222-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000002-2-200202-200-2200000000i2−i2−i2i2i2−i2−i2i20000
χ4322-2-2-22200-2-2222-2-2022-2-2-222-200002222-2-2-2-2-2-22222-2-2000000000000000000000000000000000000000000-22200-20-22002-2000000002−2−22−222−20000
χ4422-2-2-22200-2-2222-2-2022-2-2-222-200002222-2-2-2-2-2-22222-2-2000000000000000000000000000000000000000000-22200-20-22002-200000000−222−22−2−220000
χ4544444444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ4644444444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-4-4-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000
χ474444444-4-44444444-4-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000001111−5−555−5−55511111111−5−555−5−555−5−555−5−555000000000000000000000000000000000
χ484444444-4-44444444-4-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111155−5−555−5−51111111155−5−555−5−555−5−555−5−5000000000000000000000000000000000
χ49444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ50444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152-4-42222-1-1-1-1111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000000
χ51444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ52444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152-4-42222-1-1-1-1111111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152000000000000000000000000000000000
χ53444444-2-4-4-2-2-2-2-2-2-2-4-1-1-1-1-1-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200−2i32i3−2i32i3111155−5−555−5−5−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152ζ28−ζ44+ζ52−ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ28+ζ44−ζ52+ζ116000000000000000000000000000000000
χ54444444-2-4-4-2-2-2-2-2-2-2-4-1-1-1-1-1-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152002i3−2i32i3−2i31111−5−555−5−555−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−ζ28+ζ44−ζ52+ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ28−ζ44+ζ52−ζ116000000000000000000000000000000000
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χ10988-8-88-880088-8-88-8-80-2-22-2-22220000-2-2-2-222-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11188-8-88-8-400-4-444-4440-2-22-2-222200001+i151−i151+i151−i15−1−i15−1+i151+i151+i151−i151−i15−1−i15−1−i15−1+i15−1+i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11488-8-8-88-40044-4-4-4440-2-2222-2-2200001+i151−i151+i151−i15−1−i15−1+i15−1−i15−1−i15−1+i15−1+i151+i151+i151−i151−i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8008000000-88-80-22-2−252525−2520000-2-222-2-2−252525−25−252525−2522000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8008000000-88-80-22-225−25−252520000-2-222-2-225−25−252525−25−252522000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-400−4i34i3−4i34i34-440-22-2−252525−25200001+i151−i15−1−i15−1+i151+i151−i152ζ4−2ζ68+2ζ76−2ζ92−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ28+2ζ44−2ζ52+2ζ116−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-400−4i34i3−4i34i34-440-22-225−25−2525200001−i151+i15−1+i15−1−i151−i151+i152ζ28−2ζ44+2ζ52−2ζ116−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ4+2ζ68−2ζ76+2ζ92−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-800-4004i3−4i34i3−4i34-440-22-2−252525−25200001−i151+i15−1+i15−1−i151−i151+i15−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-4004i3−4i34i3−4i34-440-22-225−25−2525200001+i151−i15−1−i15−1+i151+i151−i15−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000

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