Finite Group Databasebeta

← Group #14283241

Character table — Group #14283241

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222244444666688888888888810101010121212121616161616161620202020202020202424242424242430304040404040404040404040606060606080120120120
order12223666451010104444210101010121520203030302244202020206303030306060444466121242020202020204448812121212242424244444412488
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
χ511111111111111111-1-1-1-1-1111111111111111-1-1-1-1-11111111111-111-1-1-1-111-1-1-11111-1-1-1-111111-1-1-1-1
χ611111111111111111-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-11111-111-1-1-1-111-111-1-1-1-111111-1-1-1-1-1-111
χ711111111111111111-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-111ii−i−i-1-1-1-1-111-1-1-1-1-1-11−iiii−i−i−i−iii-1ii−i−i11−ii
χ811111111111111111-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-111−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
χ131111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111
χ141111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-111-1-1-1-11111-11111-11-1-1
χ151111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11-1-11111111−iiii−i−i−i−iii1−i−iii1-1i−i
χ161111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11-1-11111111i−i−i−iiiii−i−i1ii−i−i1-1−ii
χ1722222222-2222222-2-200000-22-2-222222-2-2222200000-2-2000022-2-20-2-20000-2-200000000000200000000
χ1822222222-2222222-2-200000-22-2-2222-2-222222200000-2-20000-2-2220-2-200002200000000000-200000000
χ1922222222-22222-2-22200000-22-2-222222-2-2-2-2-2-200000-2-2000022-2-202200002200000000000-200000000
χ2022222222-22222-2-22200000-22-2-2222-2-222-2-2-2-200000-2-20000-2-2220220000-2-200000000000200000000
χ212222-1-1-1-122222000022222-1-122-1-1-122220000-1-1-1-1-1-1-12222-1-1-1-1000000000222-1-1-1-1-1-1-1-100000-1000
χ222222-1-1-1-122222000022222-1-122-1-1-122220000-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000002-2-21111111100000-1000
χ232222-1-1-1-122222000022222-1-122-1-1-1-2-2-2-20000-1-1-1-1-1-1-12i2i−2i−2i1111000000000-22i−2i−i−iii−i−iii000001000
χ242222-1-1-1-122222000022222-1-122-1-1-1-2-2-2-20000-1-1-1-1-1-1-1−2i−2i2i2i1111000000000-2−2i2iii−i−iii−i−i000001000
χ252222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-12222000011111-1-12222-1-1-1-1000000000-2-2-2-1-1-1-11111000001000
χ262222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-12222000011111-1-1-2-2-2-2-1-1-1-1000000000-2221111-1-1-1-1000001000
χ272222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-1-2-2-2-2000011111-1-12i2i−2i−2i11110000000002−2i2i−i−iiiii−i−i00000-1000
χ282222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-1-2-2-2-2000011111-1-1−2i−2i2i2i111100000000022i−2iii−i−i−i−iii00000-1000
χ2922-2-222-2-202-2-222-2000000002002-2-2002i−2i22-2-200000001+i−1−i1−i−1+i002i−2i00000002i−2i0001+i−1−i1−i−1+i000001+i−1−i1−i−1+i0000
χ3022-2-222-2-202-2-222-2000000002002-2-2002i−2i22-2-20000000−1−i1+i−1+i1−i002i−2i00000002i−2i000−1−i1+i−1+i1−i00000−1−i1+i−1+i1−i0000
χ3122-2-222-2-202-2-222-2000000002002-2-200−2i2i22-2-200000001−i−1+i1+i−1−i00−2i2i0000000−2i2i0001−i−1+i1+i−1−i000001−i−1+i1+i−1−i0000
χ3222-2-222-2-202-2-222-2000000002002-2-200−2i2i22-2-20000000−1+i1−i−1−i1+i00−2i2i0000000−2i2i000−1+i1−i−1−i1+i00000−1+i1−i−1−i1+i0000
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χ37444444444-1-1-1-144444-1-1-1-14-1-1-1-1-1-10000-1-1-1-14-1-1-1-1-1-1000000004-1-1-1-1-1-10000000000000000000000
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χ39444444444-1-1-1-1-4-4-4-44-1-1-1-14-1-1-1-1-1-1000011114-1-1-1-1-1-100000000-41111110000000000000000000000
χ40444444444-1-1-1-1-4-4-4-4-411114-1-1-1-1-1-100001111-41111-1-100000000411-1-1-1-10000000000000000000000
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χ454444-2-2-2-2-444440000000002-2-4-4-2-2-244-4-4000000000220000-2-22200000000000000000000000000000
χ464444-2-2-2-2-444440000000002-2-4-4-2-2-2-4-44400000000022000022-2-200000000000000000000000000000
χ4744-4-4-2-22204-4-440000000000-200-222004i−4i000000000002+2i−2−2i2−2i−2+2i00−2i2i000000000000−1−i1+i−1+i1−i0000000000000
χ4844-4-4-2-22204-4-440000000000-200-222004i−4i00000000000−2−2i2+2i−2+2i2−2i00−2i2i0000000000001+i−1−i1−i−1+i0000000000000
χ4944-4-4-2-22204-4-440000000000-200-22200−4i4i000000000002−2i−2+2i2+2i−2−2i002i−2i000000000000−1+i1−i−1−i1+i0000000000000
χ5044-4-4-2-22204-4-440000000000-200-22200−4i4i00000000000−2+2i2−2i−2−2i2+2i002i−2i0000000000001−i−1+i1+i−1−i0000000000000
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χ584-4-444-44-4044-4-400−4i4i000000400-4-44000000000000000000000000−4i4i00000000000000000000000000
χ594-4-444-44-40-1-111004i−4i0ζ4−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+ζ1160-1−5511-10000−i5i5−i5i50ζ4−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+ζ116−55000000000−iiζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ1180000000000000000000000
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χ624-4-444-44-40-1-111004i−4i0−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+ζ1160-15−511-10000i5−i5i5−i50−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+ζ1165−5000000000−iiζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ1180000000000000000000000
χ634-4-444-44-40-1-11100−4i4i0ζ4−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+ζ1160-1−5511-10000i5−i5i5−i50ζ4−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+ζ116−55000000000i−i−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ1180000000000000000000000
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χ798-8-88-44-440-2-22200000−2ζ4−2ζ28−2ζ44+2ζ52−2ζ68+2ζ76+2ζ92+2ζ1162ζ4+2ζ28+2ζ44−2ζ52+2ζ68−2ζ76−2ζ92−2ζ1162ζ4−2ζ28+2ζ44+2ζ52−2ζ68−2ζ76+2ζ92−2ζ116−2ζ4+2ζ28−2ζ44−2ζ52+2ζ68+2ζ76−2ζ92+2ζ1160125−25-1-11000000000ζ4+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−ζ116−550000000000000000000000000000000000000
χ801616-16-16-8-8880-444-400000000002002-2-20000000000000000000000000000000000000000000000000000
χ8116-1616-16-888-80-44-440000000000200-22-20000000000000000000000000000000000000000000000000000

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