Finite Group Databasebeta

← Group #14283253

Character table — Group #14283253

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222444444444444444888888888888888888881010101010101010101020202020202020242424242424242424244040404040404040404040406060606060606060120120
order122234444666451010101212121212122020202015202020203030306060606060606060606060602244441212121246612121212442020202020202020888824242424242424244444444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1
χ611111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii11
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i11
χ911111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-11-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-1
χ1011111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-11-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-1
χ1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-11-1-1-1-111111-11-111-1-111-1-1-1-111-1-111-11
χ1211111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-11-1-1-1-11111-11-11-1-111-1-11111-1-111-1-1-11
χ1311111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111-11111-1-1-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iii-11
χ1411111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111-11111-1-1-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i-11
χ1511111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-11-1-1-1-11111i−i−iiii−i−i−i−iii−i−iiiii−i−i1-1
χ1611111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-11-1-1-1-11111−iii−i−i−iiiii−i−iii−i−i−i−iii1-1
χ172222222-2-2222-22222-2-222-2-2-2-2-2-22-2-222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ182222222-2-2222-22222-2-222-2-2-2-2-2-22-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222222-2-2-2-22200000000000000000000000000000000
χ1922222-2-222222-22222-2-2-2-22222222-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222-2-22200000000000000000000000000000000
χ2022222-2-222222-22222-2-2-2-22222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-222222222-2-2-222-2-200000000000000000000000000000000
χ212222-12222-1-1-122222-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-100000000002222-1-1-1-1-1-1-1-10000000000
χ222222-12222-1-1-122222-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-10000000000-2-2-2-2111111110000000000
χ232222-12222-1-1-122222-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-211111100000000002i2i−2i−2i−i−i−i−iiiii0000000000
χ242222-12222-1-1-122222-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-21111110000000000−2i−2i2i2iiiii−i−i−i−i0000000000
χ252222-122-2-2-1-1-1-2222211-1-111-2-2-2-2-1-2-222-1-1-11111-1-1-1-111112222-2-21111-2-1-1-1-111000000000000003−33−33−33−30000000000
χ262222-122-2-2-1-1-1-2222211-1-111-2-2-2-2-1-2-222-1-1-11111-1-1-1-111112222-2-21111-2-1-1-1-11100000000000000−33−33−33−330000000000
χ272222-122-2-2-1-1-1-2222211-1-111-2-2-2-2-1-2-222-1-1-11111-1-1-1-11111-2-2-2-222-1-1-1-121111-1-100000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ282222-122-2-2-1-1-1-2222211-1-111-2-2-2-2-1-2-222-1-1-11111-1-1-1-11111-2-2-2-222-1-1-1-121111-1-100000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ292222-1-2-222-1-1-1-222221111-1-12222-1-2-2-2-2-1-1-111111111-1-1-1-122-2-2-2-211112-1-111-1-1000000000000003−3−333−3−330000000000
χ302222-1-2-222-1-1-1-222221111-1-12222-1-2-2-2-2-1-1-111111111-1-1-1-122-2-2-2-211112-1-111-1-100000000000000−333−3−333−30000000000
χ312222-1-2-222-1-1-1-222221111-1-12222-1-2-2-2-2-1-1-111111111-1-1-1-1-2-22222-1-1-1-1-211-1-11100000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ322222-1-2-222-1-1-1-222221111-1-12222-1-2-2-2-2-1-1-111111111-1-1-1-1-2-22222-1-1-1-1-211-1-11100000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ332222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-222-1-1-1-1-2-1-1111100000000002-22-2-1-111-1-1110000000000
χ342222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-222-1-1-1-1-2-1-111110000000000-22-2211-1-111-1-10000000000
χ352222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-222-2-21111211-1-1-1-100000000002i−2i−2i2i−i−iiiii−i−i0000000000
χ362222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-222-2-21111211-1-1-1-10000000000−2i2i2i−2iii−i−i−i−iii0000000000
χ372-2-222002-22-2-2022-2-200002-222-2-2200002-2-20000000022-2-2002i−2i2i−2i2i2i−2i−2i0002i−2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00
χ382-2-222002-22-2-2022-2-200002-222-2-2200002-2-20000000022-2-2002i−2i2i−2i2i2i−2i−2i0002i−2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00
χ392-2-222002-22-2-2022-2-200002-222-2-2200002-2-20000000022-2-200−2i2i−2i2i−2i−2i2i2i000−2i2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00
χ402-2-222002-22-2-2022-2-200002-222-2-2200002-2-20000000022-2-200−2i2i−2i2i−2i−2i2i2i000−2i2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00
χ412-2-22200-222-2-2022-2-20000-22-2-222200002-2-200000000-2-222002i−2i−2i2i−2i−2i2i2i0002i−2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00
χ422-2-22200-222-2-2022-2-20000-22-2-222200002-2-200000000-2-222002i−2i−2i2i−2i−2i2i2i0002i−2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00
χ432-2-22200-222-2-2022-2-20000-22-2-222200002-2-200000000-2-22200−2i2i2i−2i2i2i−2i−2i000−2i2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00
χ442-2-22200-222-2-2022-2-20000-22-2-222200002-2-200000000-2-22200−2i2i2i−2i2i2i−2i−2i000−2i2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00
χ454444444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000044-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-4-4111111110000000000000000000000
χ474444444-4-4444-4-1-1-1-1-4-444-4-41111-111-1-1-1-1-11111-1-1-1-111110000000000000000000−5−555−5−5550000000000000000000000
χ484444444-4-4444-4-1-1-1-1-4-444-4-41111-111-1-1-1-1-11111-1-1-1-11111000000000000000000055−5−555−5−50000000000000000000000
χ4944444-4-444444-4-1-1-1-1-4-4-4-444-1-1-1-1-11111-1-1-111111111-1-1-1-10000000000000000000−5−55555−5−50000000000000000000000
χ5044444-4-444444-4-1-1-1-1-4-4-4-444-1-1-1-1-11111-1-1-111111111-1-1-1-1000000000000000000055−5−5−5−5550000000000000000000000
χ5144444-4-4-4-44444-1-1-1-144-4-4-4-41111-1-1-111-1-1-1-1-1-1-111111111000000000000000004-4-1-1-1-111110000000000000000000000
χ5244444-4-4-4-44444-1-1-1-144-4-4-4-41111-1-1-111-1-1-1-1-1-1-11111111100000000000000000-441111-1-1-1-10000000000000000000000
χ5344-4-440000-44-404-44-4000000000040000-44-40000000000004-40000000004-4000000000000000000000000000000000000
χ5444-4-440000-44-404-44-4000000000040000-44-4000000000000-44000000000-44000000000000000000000000000000000000
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χ8188-8-880000-88-80-22-22000000−2i52i52i5−2i5-200002-2200000000−2i52i52i5−2i50000000000000000000000000000000000000000000000000
χ8288-8-880000-88-80-22-220000002i5−2i5−2i52i5-200002-22000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000000
χ8388-8-8-400004-440-22-2243−430000−2i52i52i5−2i510000-11-1−3−333−i15i15−i15i15i5−i5−i5i50000000000000000000000000000000000000000000000000
χ8488-8-8-400004-440-22-2243−4300002i5−2i5−2i52i510000-11-1−3−333i15−i15i15−i15−i5i5i5−i50000000000000000000000000000000000000000000000000
χ8588-8-8-400004-440-22-22−43430000−2i52i52i5−2i510000-11-133−3−3i15−i15i15−i15i5−i5−i5i50000000000000000000000000000000000000000000000000
χ8688-8-8-400004-440-22-22−434300002i5−2i5−2i52i510000-11-133−3−3−i15i15−i15i15−i5i5i5−i50000000000000000000000000000000000000000000000000
χ878-88-8-48i−8i0044-40-222-200−4i4i00−2i52i5−2i52i51−2525−2i2i-1-115−55−5ii−i−ii5−i5i5−i50000000000000000000000000000000000000000000000000
χ888-88-8-48i−8i0044-40-222-200−4i4i002i5−2i52i5−2i5125−25−2i2i-1-11−55−55ii−i−i−i5i5−i5i50000000000000000000000000000000000000000000000000
χ898-88-8-4−8i8i0044-40-222-2004i−4i00−2i52i5−2i52i5125−252i−2i-1-11−55−55−i−iiii5−i5i5−i50000000000000000000000000000000000000000000000000
χ908-88-8-4−8i8i0044-40-222-2004i−4i002i5−2i52i5−2i51−25252i−2i-1-115−55−5−i−iii−i5i5−i5i50000000000000000000000000000000000000000000000000
χ918-8-888008-88-8-80-2-22200008-8-2-222-20000-22200000000-2-2220000000000000000000000000000000000000000000000000
χ928-8-88800-888-8-80-2-2220000-8822-2-2-20000-2220000000022-2-20000000000000000000000000000000000000000000000000
χ938-8-88-4008-8-4440-2-2220000-44-2-222100001-1-1−151515−15−151515−1511-1-10000000000000000000000000000000000000000000000000
χ948-8-88-4008-8-4440-2-2220000-44-2-222100001-1-115−15−151515−15−151511-1-10000000000000000000000000000000000000000000000000
χ958-8-88-400-88-4440-2-22200004-422-2-2100001-1-1−151515−1515−15−1515-1-1110000000000000000000000000000000000000000000000000
χ968-8-88-400-88-4440-2-22200004-422-2-2100001-1-115−15−1515−151515−15-1-1110000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.