Finite Group Databasebeta

← Group #14297859

Character table — Group #14297859

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222444444444444444555588888888888888888888101010101010101012121212202020202020202424242424242424404040404040404040404040606060606060606060606060
order122234444666451010101212121212122020202044441520202020303030606060606060606060606060224412121212224446612121212101010102020202088882424242424242424444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ7111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111iiii−i−i−i−i
χ911111-1-111111-1111111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ1011111-1-111111-1111111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111
χ1111111-1-111111-1111111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-111-1-111
χ1211111-1-111111-1111111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1
χ1311111-1-111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111ii−i−i−i−iii
χ1411111-1-111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−i−iiiii−i−i
χ1511111-1-111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−i−iiiii−i−i
χ1611111-1-111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ172222222-2-2222-22222-2-222-2-2222222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-22222220000-2-2-222-2-200000000000000000000000000000000
χ182222222-2-2222-22222-2-222-2-22222-2-2-2-22-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-2-2-20000222-2-22200000000000000000000000000000000
χ1922222-2-2-2-222222222-2-2-2-222-2-2-2-222222-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2222200002-2-2-2-22200000000000000000000000000000000
χ2022222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-20000-22222-2-200000000000000000000000000000000
χ212222-12222-1-1-122222-1-1-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ222222-12222-1-1-122222-1-1-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ232222-12222-1-1-122222-1-1-1-1-1-12222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2111111000000002i2i−2i−2i−i−i−i−iiiii000000000000
χ242222-12222-1-1-122222-1-1-1-1-1-12222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-211111100000000−2i−2i2i2iiiii−i−i−i−i000000000000
χ252222-122-2-2-1-1-1-2222211-1-11122222222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-222-1-1-1-10000-211-1-111000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ262222-122-2-2-1-1-1-2222211-1-11122222222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-222-1-1-1-10000-211-1-111000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ272222-122-2-2-1-1-1-2222211-1-1112222-2-2-2-2-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-2111100002-1-111-1-10000000000003−33−3−33−33000000000000
χ282222-122-2-2-1-1-1-2222211-1-1112222-2-2-2-2-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-2111100002-1-111-1-1000000000000−33−333−33−3000000000000
χ292222-1-2-222-1-1-1-22222-1-11111-2-2-2-22222-122-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000-2-1-11111000000002-22-2-1-111-1-111000000000000
χ302222-1-2-222-1-1-1-22222-1-11111-2-2-2-22222-122-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000-2-1-1111100000000-22-2211-1-111-1-1000000000000
χ312222-1-2-222-1-1-1-22222-1-11111-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22211110000211-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i000000000000
χ322222-1-2-222-1-1-1-22222-1-11111-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22211110000211-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii000000000000
χ332222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-1000021111-1-1000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ342222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-1000021111-1-1000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ352222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1222211110000-2-1-1-1-1110000000000003−3−33−333−3000000000000
χ362222-1-2-2-2-2-1-1-1222221111-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1222211110000-2-1-1-1-111000000000000−333−33−3−33000000000000
χ372-22-22002-22-2-2022-2-22-20000000022-2-222-2002-2-222-2-2000000002-20022-2-22-20002-2000022-2-200000000000000002-20000000000
χ382-22-22002-22-2-2022-2-22-20000000022-2-222-2002-2-222-2-2000000002-20022-2-2-220002-20000-2-2220000000000000000-220000000000
χ392-22-22002-22-2-2022-2-22-200000000-2-22222-2002-2-222-2-200000000-2200-2-2222-2000-22000022-2-20000000000000000-220000000000
χ402-22-22002-22-2-2022-2-22-200000000-2-22222-2002-2-222-2-200000000-2200-2-222-22000-220000-2-22200000000000000002-20000000000
χ412-22-2200-222-2-2022-2-2-220000000022-2-22-22002-2-2-2-22200000000-220022-2-2002i−2i0-22000000002i2i−2i−2i000000000000002i−2i00000000
χ422-22-2200-222-2-2022-2-2-220000000022-2-22-22002-2-2-2-22200000000-220022-2-200−2i2i0-2200000000−2i−2i2i2i00000000000000−2i2i00000000
χ432-22-2200-222-2-2022-2-2-2200000000-2-2222-22002-2-2-2-222000000002-200-2-222002i−2i02-2000000002i2i−2i−2i00000000000000−2i2i00000000
χ442-22-2200-222-2-2022-2-2-2200000000-2-2222-22002-2-2-2-222000000002-200-2-22200−2i2i02-200000000−2i−2i2i2i000000000000002i−2i00000000
χ452-2-2222i−2i00-22-202-22-2002i−2i002i2i−2i−2i2i−2i2i−2i20000-22-200002i2i−2i−2i0000002-22i−2i2i−2i00000002-2000000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i
χ462-2-2222i−2i00-22-202-22-2002i−2i002i2i−2i−2i2i−2i2i−2i20000-22-200002i2i−2i−2i0000002-22i−2i2i−2i00000002-200000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i
χ472-2-2222i−2i00-22-202-22-2002i−2i002i2i−2i−2i−2i2i−2i2i20000-22-200002i2i−2i−2i000000-22−2i2i−2i2i0000000-22000000000000000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i
χ482-2-2222i−2i00-22-202-22-2002i−2i002i2i−2i−2i−2i2i−2i2i20000-22-200002i2i−2i−2i000000-22−2i2i−2i2i0000000-2200000000000000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i
χ492-2-222−2i2i00-22-202-22-200−2i2i00−2i−2i2i2i2i−2i2i−2i20000-22-20000−2i−2i2i2i000000-222i−2i2i−2i0000000-22000000000000000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i
χ502-2-222−2i2i00-22-202-22-200−2i2i00−2i−2i2i2i2i−2i2i−2i20000-22-20000−2i−2i2i2i000000-222i−2i2i−2i0000000-2200000000000000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i
χ512-2-222−2i2i00-22-202-22-200−2i2i00−2i−2i2i2i−2i2i−2i2i20000-22-20000−2i−2i2i2i0000002-2−2i2i−2i2i00000002-2000000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i
χ522-2-222−2i2i00-22-202-22-200−2i2i00−2i−2i2i2i−2i2i−2i2i20000-22-20000−2i−2i2i2i0000002-2−2i2i−2i2i00000002-200000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i
χ534444444444444-1-1-1-1444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044440000000-1-1-1-1-1-1-1-1000000000000000000000000
χ544444444444444-1-1-1-1444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-4000000011111111000000000000000000000000
χ554444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-10000-11111-1-1-11111-1-1-1-111110000000000000000000−55−55−55−55000000000000000000000000
χ564444444-4-4444-4-1-1-1-1-4-444-4-4-1-1-1-10000-11111-1-1-11111-1-1-1-1111100000000000000000005−55−55−55−5000000000000000000000000
χ5744444-4-444444-4-1-1-1-144-4-4-4-411110000-1-1-111-1-1-1-1-1-1-1111111110000000044-4-40000000-1-1-1-11111000000000000000000000000
χ5844444-4-444444-4-1-1-1-144-4-4-4-411110000-1-1-111-1-1-1-1-1-1-11111111100000000-4-44400000001111-1-1-1-1000000000000000000000000
χ5944444-4-4-4-44444-1-1-1-1-4-4-4-44411110000-111-1-1-1-1-111111111-1-1-1-10000000000000000000−55−555−55−5000000000000000000000000
χ6044444-4-4-4-44444-1-1-1-1-4-4-4-44411110000-111-1-1-1-1-111111111-1-1-1-100000000000000000005−55−5−55−55000000000000000000000000
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χ6244-4-440000-4-4404-4-440000000000−4i4i4i−4i40000-4-440000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000
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χ684-44-44004-44-4-40-1-1114-40000−i5i5−i5i50000-1-11−i5i5-111-1-111−i5i5−i5i5−i5i5−i5i500000000-4400000000011-1-1i5−i5−i5i5000000000000000000000000
χ694-44-44004-44-4-40-1-1114-40000i5−i5i5−i50000-1-11i5−i5-111-1-111i5−i5i5−i5i5−i5i5−i5000000004-4000000000-1-111i5−i5−i5i5000000000000000000000000
χ704-44-44004-44-4-40-1-1114-40000i5−i5i5−i50000-1-11i5−i5-111-1-111i5−i5i5−i5i5−i5i5−i500000000-4400000000011-1-1−i5i5i5−i5000000000000000000000000
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χ824-4-44-2−4i4i002-2204-44-4002i−2i00−4i−4i4i4i−4i4i−4i4i-200002-2200002i2i−2i−2i0000004-42i−2i2i−2i0000000-220000000000000000000000000000000000
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χ858888-4-8-888-4-4-4-8-2-2-2-2-4-44444222200001-2-2221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000
χ868888-4-8-8-8-8-4-4-48-2-2-2-24444-4-422220000122-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000000000000
χ8788-8-880000-8-880-222-2000000−252525−250000-2000022-20000−252525−250000000000000000000000000000000000000000000000000000000
χ8888-8-880000-8-880-222-200000025−25−25250000-2000022-2000025−25−25250000000000000000000000000000000000000000000000000000000
χ8988-8-8-4000044-40-222-2000043−43−252525−25000010000-1-11−1515−15155−5−55−3−333000000000000000000000000000000000000000000000000000
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χ938-88-8-4008-8-4440-2-222-440000−2i52i5−2i52i500001-22−2i52i51-1-111-1-1i5−i5i5−i5i5−i5i5−i5000000000000000000000000000000000000000000000000000
χ948-88-8-4008-8-4440-2-222-4400002i5−2i52i5−2i500001-222i5−2i51-1-111-1-1−i5i5−i5i5−i5i5−i5i5000000000000000000000000000000000000000000000000000
χ958-88-8-400-88-4440-2-2224-40000−2i52i5−2i52i5000012-22i5−2i51-1-1-1-111i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000000000000000000
χ968-88-8-400-88-4440-2-2224-400002i5−2i52i5−2i5000012-2−2i52i51-1-1-1-111−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000000000000000000
χ978-8-8888i−8i00-88-80-22-22008i−8i00−2i−2i2i2i0000-200002-220000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000
χ988-8-888−8i8i00-88-80-22-2200−8i8i002i2i−2i−2i0000-200002-2200002i2i−2i−2i0000000000000000000000000000000000000000000000000000000
χ998-8-88-48i−8i004-440-22-2200−4i4i00−2i−2i2i2i000010000-11-1−151515−15ii−i−i−i15i15i15−i15000000000000000000000000000000000000000000000000000
χ1008-8-88-48i−8i004-440-22-2200−4i4i00−2i−2i2i2i000010000-11-115−15−1515ii−i−ii15−i15−i15i15000000000000000000000000000000000000000000000000000
χ1018-8-88-4−8i8i004-440-22-22004i−4i002i2i−2i−2i000010000-11-1−151515−15−i−iiii15−i15−i15i15000000000000000000000000000000000000000000000000000
χ1028-8-88-4−8i8i004-440-22-22004i−4i002i2i−2i−2i000010000-11-115−15−1515−i−iii−i15i15i15−i15000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).