Finite Group Databasebeta

← Group #14285010

Character table — Group #14285010

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222444444444444444888888888888888888881010101010101010101020202020202020242424242424242424244040404040404040404040406060606060606060120120
order122234444666451010101212121212122020202015202020203030306060606060606060606060602244441212121246612121212442020202020202020888824242424242424248888888844
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
χ911111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-1
χ1011111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-1
χ1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii-11
χ1211111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i-11
χ1311111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111-11
χ1411111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-11
χ1511111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-11-1
χ1611111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-1-1-1-11111-111-1-1-11111-1-111-1-1-1-1111-1
χ172222222-2-2222-22222-2-222-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2222-22-22222-222-2-2-2-200000000000000000000000000000000
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χ1922222-2-222222-22222-2-2-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-2222222-22-22-2-2-2-2-222-2-22200000000000000000000000000000000
χ2022222-2-222222-22222-2-2-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-2-22-22-222222-2-222-2-200000000000000000000000000000000
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
χ252222-122-2-2-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-11111222-22-2-1-1-1-1-2-1-1111100000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ262222-122-2-2-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-11111222-22-2-1-1-1-1-2-1-1111100000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ272222-122-2-2-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-2-22-221111211-1-1-1-1000000000000003−33−3−33−330000000000
χ282222-122-2-2-1-1-1-2222211-1-1112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-2-22-221111211-1-1-1-100000000000000−33−333−33−30000000000
χ292222-1-2-222-1-1-1-222221111-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-22-221111-2-1-111-1-1000000000000003−3−333−3−330000000000
χ302222-1-2-222-1-1-1-222221111-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-22-221111-2-1-111-1-100000000000000−333−3−333−30000000000
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χ322222-1-2-222-1-1-1-222221111-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-22-22-2-1-1-1-1211-1-11100000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ332222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-2-2-211112-1-1-1-11100000000002i−2i2i−2i−i−iii−i−iii0000000000
χ342222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-2-2-211112-1-1-1-1110000000000−2i2i−2i2iii−i−iii−i−i0000000000
χ352222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-1-21111-1-100000000002-2-22-1-11111-1-10000000000
χ362222-1-2-2-2-2-1-1-122222-1-11111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-1-21111-1-10000000000-222-211-1-1-1-1110000000000
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χ4422-2-22-22002-2-2022-2-200-2200-2-222200002-2-20000-2-2220000-2220-2022-2-20-2200000000000000000000000000−222−22−2−2200
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
χ474444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-1-11111-1-1-11111-1-1-1-111110000000000000000000−5−555−5−5550000000000000000000000
χ484444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-1-11111-1-1-11111-1-1-1-11111000000000000000000055−5−555−5−50000000000000000000000
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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
χ898-88-8-400004-440-22-2243−430000−2i52i52i5−2i510000-11-1−3−333i5−i5−i5i5−i15i15i15−i150000000000000000000000000000000000000000000000000
χ908-88-8-400004-440-22-2243−4300002i5−2i5−2i52i510000-11-1−3−333−i5i5i5−i5i15−i15−i15i150000000000000000000000000000000000000000000000000
χ918-88-8-400004-440-22-22−43430000−2i52i52i5−2i510000-11-133−3−3i5−i5−i5i5i15−i15−i15i150000000000000000000000000000000000000000000000000
χ928-88-8-400004-440-22-22−434300002i5−2i5−2i52i510000-11-133−3−3−i5i5i5−i5−i15i15i15−i150000000000000000000000000000000000000000000000000
χ938-8-88-4008i−8i44-40-222-20000−4i4i−2i52i5−2i52i51−2525−2i2i-1-115−55−5i5−i5i5−i5ii−i−i0000000000000000000000000000000000000000000000000
χ948-8-88-4008i−8i44-40-222-20000−4i4i2i5−2i52i5−2i5125−25−2i2i-1-11−55−55−i5i5−i5i5ii−i−i0000000000000000000000000000000000000000000000000
χ958-8-88-400−8i8i44-40-222-200004i−4i−2i52i5−2i52i5125−252i−2i-1-11−55−55i5−i5i5−i5−i−iii0000000000000000000000000000000000000000000000000
χ968-8-88-400−8i8i44-40-222-200004i−4i2i5−2i52i5−2i51−25252i−2i-1-115−55−5−i5i5−i5i5−i−iii0000000000000000000000000000000000000000000000000

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