Finite Group Databasebeta

← Group #14276949

Character table — Group #14276949

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222444444444444444888888888888888888881010101010101010101020202020202020242424242424242424244040404040404040404040406060606060606060120120
order122234444666451010101212121212122020202015202020203030306060606060606060606060602244441212121246612121212884040404040404040888824242424242424244444444488
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
χ91111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-111-1-1i−i
χ101111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-1-111-1-111i−i
χ111111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1−ii−i−i−i−iiiiii−ii−iii−i−iii−i−i-1-111-1-111−ii
χ121111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1−ii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-111-1-1−ii
χ131111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111i−iiiii−i−i−i−i1-1-1111-1-1-1-111−i−iiiii−i−i−ii
χ141111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111i−iiiii−i−i−i−i-111-1-1-11111-1-1ii−i−i−i−iii−ii
χ151111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111−ii−i−i−i−iiiii1-1-1111-1-1-1-111ii−i−i−i−iiii−i
χ161111111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111−ii−i−i−i−iiiii-111-1-1-11111-1-1−i−iiiii−i−ii−i
χ1722222-2-222222-22222-2-222-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2222-2-22200000000000000000000000000000000
χ1822222-2-222222-22222-2-222-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-222222222-2-2-222-2-200000000000000000000000000000000
χ1922222-2-2-2-222222222-2-2-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-2222222-2-2222222-222-2-2-2-200000000000000000000000000000000
χ2022222-2-2-2-222222222-2-2-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22-2-2222200000000000000000000000000000000
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
χ252222-122-2-2-1-1-1-22222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-1111111112222-2-21111-2-1-1-1-11100000000002i−2i2i−2i−i−iii−i−iii0000000000
χ262222-122-2-2-1-1-1-22222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-1111111112222-2-21111-2-1-1-1-1110000000000−2i2i−2i2iii−i−iii−i−i0000000000
χ272222-122-2-2-1-1-1-22222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-121111-1-100000000002-2-22-1-11111-1-10000000000
χ282222-122-2-2-1-1-1-22222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-121111-1-10000000000-222-211-1-1-1-1110000000000
χ292222-1-2-222-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-211112-1-111-1-1000000000000003−33−33−33−30000000000
χ302222-1-2-222-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-211112-1-111-1-100000000000000−33−33−33−330000000000
χ312222-1-2-222-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-22222-1-1-1-1-211-1-11100000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ322222-1-2-222-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-22222-1-1-1-1-211-1-11100000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ332222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-222-1-1-1-1-2-1-1111100000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ342222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-222-1-1-1-1-2-1-1111100000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ352222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-2-21111211-1-1-1-1000000000000003−3−33−333−30000000000
χ362222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-2-21111211-1-1-1-100000000000000−333−33−3−330000000000
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χ4322-2-2200−2i2i2-2-2022-2-200−2i2i00−2i−2i2i2i200002-2-20000−2i−2i2i2i000000−2i2i2-222-2-2000−2i2i0000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00
χ4422-2-2200−2i2i2-2-2022-2-200−2i2i00−2i−2i2i2i200002-2-20000−2i−2i2i2i000000−2i2i2-222-2-2000−2i2i000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+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
χ474444444-4-4444-4-1-1-1-144-4-4-4-41111-1-1-111-1-1-1-1-1-1-111111111000000000000000004i−4i−i−i−i−iiiii0000000000000000000000
χ484444444-4-4444-4-1-1-1-144-4-4-4-41111-1-1-111-1-1-1-1-1-1-11111111100000000000000000−4i4iiiii−i−i−i−i0000000000000000000000
χ4944444-4-444444-4-1-1-1-1-4-444-4-4-1-1-1-1-11111-1-1-11111-1-1-1-111110000000000000000000−5−555−5−5550000000000000000000000
χ5044444-4-444444-4-1-1-1-1-4-444-4-4-1-1-1-1-11111-1-1-11111-1-1-1-11111000000000000000000055−5−555−5−50000000000000000000000
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χ5644-4-4-200−4i4i-222044-4-4002i−2i00−4i−4i4i4i-20000-22200002i2i−2i−2i000000−4i4i4-4-2-2220002i−2i0000000000000000000000000000000000
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χ798888-4-8-888-4-4-4-8-2-2-2-244-4-444-2-2-2-212222111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000
χ808888-4-8-8-8-8-4-4-48-2-2-2-24444-4-42222122-2-2111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000
χ8188-8-88008i−8i8-8-80-2-222008i−8i00−2i−2i2i2i-20000-2220000−2i−2i2i2i00000000000000000000000000000000000000000000000000000
χ8288-8-8800−8i8i8-8-80-2-22200−8i8i002i2i−2i−2i-20000-22200002i2i−2i−2i00000000000000000000000000000000000000000000000000000
χ8388-8-8-4008i−8i-4440-2-22200−4i4i00−2i−2i2i2i100001-1-1−1515−1515ii−i−i−i15i15i15−i150000000000000000000000000000000000000000000000000
χ8488-8-8-4008i−8i-4440-2-22200−4i4i00−2i−2i2i2i100001-1-115−1515−15ii−i−ii15−i15−i15i150000000000000000000000000000000000000000000000000
χ8588-8-8-400−8i8i-4440-2-222004i−4i002i2i−2i−2i100001-1-1−1515−1515−i−iiii15−i15−i15i150000000000000000000000000000000000000000000000000
χ8688-8-8-400−8i8i-4440-2-222004i−4i002i2i−2i−2i100001-1-115−1515−15−i−iii−i15i15i15−i150000000000000000000000000000000000000000000000000
χ878-88-880000-88-80-22-22000000−2i52i52i5−2i5-200002-220000−2i52i52i5−2i500000000000000000000000000000000000000000000000000000
χ888-88-880000-88-80-22-220000002i5−2i5−2i52i5-200002-2200002i5−2i5−2i52i500000000000000000000000000000000000000000000000000000
χ898-88-8-400004-440-22-22000043−43−2i52i52i5−2i510000-11-1i15−i15−i15i15i5−i5−i5i5−3−3330000000000000000000000000000000000000000000000000
χ908-88-8-400004-440-22-22000043−432i5−2i5−2i52i510000-11-1−i15i15i15−i15−i5i5i5−i5−3−3330000000000000000000000000000000000000000000000000
χ918-88-8-400004-440-22-220000−4343−2i52i52i5−2i510000-11-1−i15i15i15−i15i5−i5−i5i533−3−30000000000000000000000000000000000000000000000000
χ928-88-8-400004-440-22-220000−43432i5−2i5−2i52i510000-11-1i15−i15−i15i15−i5i5i5−i533−3−30000000000000000000000000000000000000000000000000
χ938-8-88-48i−8i0044-40-222-2−4i4i0000−2525−25251−2i2i−2i52i5-1-11ii−i−i5−55−5i5−i5i5−i50000000000000000000000000000000000000000000000000
χ948-8-88-48i−8i0044-40-222-2−4i4i000025−2525−251−2i2i2i5−2i5-1-11ii−i−i−55−55−i5i5−i5i50000000000000000000000000000000000000000000000000
χ958-8-88-4−8i8i0044-40-222-24i−4i0000−2525−252512i−2i2i5−2i5-1-11−i−iii5−55−5−i5i5−i5i50000000000000000000000000000000000000000000000000
χ968-8-88-4−8i8i0044-40-222-24i−4i000025−2525−2512i−2i−2i52i5-1-11−i−iii−55−55i5−i5i5−i50000000000000000000000000000000000000000000000000

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