Finite Group Databasebeta

← Group #14283020

Character table — Group #14283020

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222244444666688888888888810101010121212121616161616161620202020202020202424242424242430304040404040404040404040606060606080120120120
order122236664510101022444121520202020202030303022442020202012606060606060444466121221010101010102248812121212242424244444412488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1
χ311111111111111111111111111111-1-1-1-111111111111ii−i−i-1-1-1-11111111-1-1-1i−iii−i−iii−i−i-1ii−i−i-1-1i−i
χ411111111111111111111111111111-1-1-1-111111111111−i−iii-1-1-1-11111111-1-1-1−ii−i−iii−i−iii-1−i−iii-1-1−ii
χ511111111111111111-11111-1-1-1-111111111111-111-1-1-1-111111111-111-1-1-1-111-1-1-11111-1-1-1-111111-1-1-1-1
χ611111111111111111-11111-1-1-1-111111111111-111-1-1-1-1-1-1-1-11111-111-1-1-1-111-111-1-1-1-111111-1-1-1-1-1-111
χ711111111111111111-11111-1-1-1-1111-1-1-1-11111-111-1-1-1-1ii−i−i-1-1-1-1-111-1-1-1-1-1-11−iiii−i−i−i−iii-1ii−i−i11−ii
χ811111111111111111-11111-1-1-1-1111-1-1-1-11111-111-1-1-1-1−i−iii-1-1-1-1-111-1-1-1-1-1-11i−i−i−iiiii−i−i-1−i−iii11i−i
χ91111111111111-1-1-1-11111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11-1-1-1
χ101111111111111-1-1-1-11111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-111
χ111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1i−iii−i−iii−i−i1−i−iii-11−ii
χ121111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-1-1-1-111-1−ii−i−iii−i−iii1ii−i−i-11i−i
χ131111111111111-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111
χ141111111111111-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1-11111-11111-11-1-1
χ151111111111111-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i-1-1-1-11-1-11111111−iiii−i−i−i−iii1−i−iii1-1i−i
χ161111111111111-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii-1-1-1-11-1-11111111i−i−i−iiiii−i−i1ii−i−i1-1−ii
χ1722222222-2222222-2-20-22-2-2000022222-2-2-2-2-2-20-2-20000000022-2-202200002200000000000-200000000
χ1822222222-2222222-2-20-22-2-20000222-2-222-2-2-2-20-2-200000000-2-2220220000-2-200000000000200000000
χ1922222222-22222-2-2220-22-2-2000022222-2-222220-2-20000000022-2-20-2-20000-2-200000000000200000000
χ2022222222-22222-2-2220-22-2-20000222-2-22222220-2-200000000-2-2220-2-200002200000000000-200000000
χ212222-1-1-1-12222200002-1-1222222-1-1-122220000-1-1-1-1-1-1-12222-1-1-1-1000000000222-1-1-1-1-1-1-1-100000-1000
χ222222-1-1-1-12222200002-1-1222222-1-1-122220000-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000002-2-21111111100000-1000
χ232222-1-1-1-12222200002-1-1222222-1-1-1-2-2-2-20000-1-1-1-1-1-1-12i2i−2i−2i1111000000000-22i−2i−i−iii−i−iii000001000
χ242222-1-1-1-12222200002-1-1222222-1-1-1-2-2-2-20000-1-1-1-1-1-1-1−2i−2i2i2i1111000000000-2−2i2iii−i−iii−i−i000001000
χ252222-1-1-1-1222220000-2-1-122-2-2-2-2-1-1-1222200001-1-111112222-1-1-1-1000000000-2-2-2-1-1-1-11111000001000
χ262222-1-1-1-1222220000-2-1-122-2-2-2-2-1-1-1222200001-1-11111-2-2-2-2-1-1-1-1000000000-2221111-1-1-1-1000001000
χ272222-1-1-1-1222220000-2-1-122-2-2-2-2-1-1-1-2-2-2-200001-1-111112i2i−2i−2i11110000000002−2i2i−i−iiiii−i−i00000-1000
χ282222-1-1-1-1222220000-2-1-122-2-2-2-2-1-1-1-2-2-2-200001-1-11111−2i−2i2i2i111100000000022i−2iii−i−i−i−iii00000-1000
χ2922-2-22-2-22022-2-2002i−2i0020000002-2-2002i−2i2i2i−2i−2i00000001+i−1−i1−i−1+i002i−2i00000002-20001+i−1−i1−i−1+i000001−i−1+i1+i−1−i0000
χ3022-2-22-2-22022-2-2002i−2i0020000002-2-2002i−2i2i2i−2i−2i0000000−1−i1+i−1+i1−i002i−2i00000002-2000−1−i1+i−1+i1−i00000−1+i1−i−1−i1+i0000
χ3122-2-22-2-22022-2-2002i−2i0020000002-2-200−2i2i2i2i−2i−2i00000001−i−1+i1+i−1−i00−2i2i0000000-220001−i−1+i1+i−1−i00000−1−i1+i−1+i1−i0000
χ3222-2-22-2-22022-2-2002i−2i0020000002-2-200−2i2i2i2i−2i−2i0000000−1+i1−i−1−i1+i00−2i2i0000000-22000−1+i1−i−1−i1+i000001+i−1−i1−i−1+i0000
χ3322-2-22-2-22022-2-200−2i2i0020000002-2-2002i−2i−2i−2i2i2i00000001+i−1−i1−i−1+i002i−2i0000000-220001+i−1−i1−i−1+i00000−1+i1−i−1−i1+i0000
χ3422-2-22-2-22022-2-200−2i2i0020000002-2-2002i−2i−2i−2i2i2i0000000−1−i1+i−1+i1−i002i−2i0000000-22000−1−i1+i−1+i1−i000001−i−1+i1+i−1−i0000
χ3522-2-22-2-22022-2-200−2i2i0020000002-2-200−2i2i−2i−2i2i2i00000001−i−1+i1+i−1−i00−2i2i00000002-20001−i−1+i1+i−1−i000001+i−1−i1−i−1+i0000
χ3622-2-22-2-22022-2-200−2i2i0020000002-2-200−2i2i−2i−2i2i2i0000000−1+i1−i−1−i1+i00−2i2i00000002-2000−1+i1−i−1−i1+i00000−1−i1+i−1+i1−i0000
χ37444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-10000-1-1-1-14-1-1-1-1-1-1000000004-1-1-1-1-1-10000000000000000000000
χ38444444444-1-1-1-14444-44-1-1-11111-1-1-10000-1-1-1-1-4-1-1111100000000-4-1-111110000000000000000000000
χ39444444444-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1-1-1000011114-1-1-1-1-1-100000000-41111110000000000000000000000
χ40444444444-1-1-1-1-4-4-4-4-44-1-1-11111-1-1-100001111-4-1-1111100000000411-1-1-1-10000000000000000000000
χ4144444444-4-1-1-1-144-4-40-4-111−5−555-1-1-100001111011−5−555000000000-1-1−5−5550000000000000000000000
χ4244444444-4-1-1-1-144-4-40-4-11155−5−5-1-1-10000111101155−5−5000000000-1-155−5−50000000000000000000000
χ4344444444-4-1-1-1-1-4-4440-4-111−5−555-1-1-10000-1-1-1-1011−5−5550000000001155−5−50000000000000000000000
χ4444444444-4-1-1-1-1-4-4440-4-11155−5−5-1-1-10000-1-1-1-101155−5−500000000011−5−5550000000000000000000000
χ454444-2-2-2-2-44444000002-2-4-40000-2-2-244-4-4000002200000000-2-22200000000000000000000000000000
χ464444-2-2-2-2-44444000002-2-4-40000-2-2-2-4-44400000220000000022-2-200000000000000000000000000000
χ4744-4-4-222-2044-4-4000000-2000000-222004i−4i000000000002+2i−2−2i2−2i−2+2i00−2i2i000000000000−1−i1+i−1+i1−i0000000000000
χ4844-4-4-222-2044-4-4000000-2000000-222004i−4i00000000000−2−2i2+2i−2+2i2−2i00−2i2i0000000000001+i−1−i1−i−1+i0000000000000
χ4944-4-4-222-2044-4-4000000-2000000-22200−4i4i000000000002−2i−2+2i2+2i−2−2i002i−2i000000000000−1+i1−i−1−i1+i0000000000000
χ5044-4-4-222-2044-4-4000000-2000000-22200−4i4i00000000000−2+2i2−2i−2−2i2+2i002i−2i0000000000001−i−1+i1+i−1−i0000000000000
χ514-44-44-44-404-4-444-400004000000-4-440000000000000000000000004-400000000000000000000000000
χ524-44-44-44-404-4-44-4400004000000-4-44000000000000000000000000-4400000000000000000000000000
χ534-44-44-44-40-111-14-40000-1−55ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ11611-10000−55−550−55ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116000000000-11ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ1160000000000000000000000
χ544-44-44-44-40-111-14-40000-1−55−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ11611-10000−55−550−55−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116000000000-11−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ1160000000000000000000000
χ554-44-44-44-40-111-14-40000-15−5ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ11611-100005−55−505−5ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116000000000-11ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ1160000000000000000000000
χ564-44-44-44-40-111-14-40000-15−5−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ11611-100005−55−505−5−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116000000000-11−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ1160000000000000000000000
χ574-44-44-44-40-111-1-440000-1−55ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ11611-100005−55−50−55ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ1160000000001-1−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ1160000000000000000000000
χ584-44-44-44-40-111-1-440000-1−55−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ11611-100005−55−50−55−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ1160000000001-1ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ1160000000000000000000000
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χ798-8-8888-8-80-22-22000000-20000002-2200002i5−2i5−2i52i500000000000000000000000000000000000000000000
χ801616-16-16-888-80-4-44400000020000002-2-20000000000000000000000000000000000000000000000000000
χ8116-16-1616-8-8880-44-440000002000000-22-20000000000000000000000000000000000000000000000000000

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