Finite Group Databasebeta

← Group #14282199

Character table — Group #14282199

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222444444444444444555588888888888888888888101010101010101012121212202020202020202424242424242424404040404040404040404040606060606060606060606060
order122234444666256610101012121212202020204444101015202030303030303030606060606060606044441212121222444121212121212101010102020202088882424242424242424444488888888
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
χ91111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ101111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111
χ111111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-111-1-111
χ121111111-1-1111-11-1-111111-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1
χ131111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111ii−i−i−i−iii
χ141111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−i−iiiii−i−i
χ151111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−i−iiiii−i−i
χ161111111-1-1111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ1722222-2-222222-22-2-2222-2-22222222222-2-22-2-222-2-2-2-22-2-2-2-2222222-2-222220000-2-2-222-2-200000000000000000000000000000000
χ1822222-2-222222-22-2-2222-2-2222222-2-2-2-2-2-22-2-222-2-2-2-22-2-2-2-22222-2-222-2-2-2-20000222-2-22200000000000000000000000000000000
χ1922222-2-2-2-22222222222-2-2-2-2-2-2-2-22222222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2222200002-2-2-2-22200000000000000000000000000000000
χ2022222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-20000-22222-2-200000000000000000000000000000000
χ212222-12222-1-1-122-1-1222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ222222-12222-1-1-122-1-1222-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ232222-12222-1-1-122-1-1222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2111111000000002i2i−2i−2i−i−i−i−iiiii000000000000
χ242222-12222-1-1-122-1-1222-1-1-1-12222-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-211111100000000−2i−2i2i2iiiii−i−i−i−i000000000000
χ252222-122-2-2-1-1-1-2211222-1-111-2-2-2-22222-2-2-122-1-11111-1-1-1-1-11111-2-222-1-1-1-10000-2-1-11111000000002-22-2-1-111-1-111000000000000
χ262222-122-2-2-1-1-1-2211222-1-111-2-2-2-22222-2-2-122-1-11111-1-1-1-1-11111-2-222-1-1-1-10000-2-1-1111100000000-22-2211-1-111-1-1000000000000
χ272222-122-2-2-1-1-1-2211222-1-111-2-2-2-2-2-2-2-2-2-2-122-1-11111-1-1-1-1-1111122-2-211110000211-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i000000000000
χ282222-122-2-2-1-1-1-2211222-1-111-2-2-2-2-2-2-2-2-2-2-122-1-11111-1-1-1-1-1111122-2-211110000211-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii000000000000
χ292222-1-2-222-1-1-1-221122211-1-122222222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-2-1-1-1-10000-211-1-111000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ302222-1-2-222-1-1-1-221122211-1-122222222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-2-1-1-1-10000-211-1-111000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ312222-1-2-222-1-1-1-221122211-1-12222-2-2-2-2-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222111100002-1-111-1-10000000000003−33−3−33−33000000000000
χ322222-1-2-222-1-1-1-221122211-1-12222-2-2-2-2-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222111100002-1-111-1-1000000000000−33−333−33−3000000000000
χ332222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1000021111-1-1000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ342222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1000021111-1-1000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ352222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111222211110000-2-1-1-1-1110000000000003−3−33−333−3000000000000
χ362222-1-2-2-2-2-1-1-122-1-12221111-2-2-2-2-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111222211110000-2-1-1-1-111000000000000−333−33−3−33000000000000
χ3722-2-222-2002-2-20200-2-222-20000002i2i−2i−2i0022-2-2-20000222-2-20000002i−2i2i2i−2i−2i002-202i−2i0000000022-2-2000000000000002i−2i00000000
χ3822-2-222-2002-2-20200-2-222-20000002i2i−2i−2i0022-2-2-20000222-2-20000002i−2i2i2i−2i−2i00-2202i−2i00000000-2-22200000000000000−2i2i00000000
χ3922-2-222-2002-2-20200-2-222-2000000−2i−2i2i2i0022-2-2-20000222-2-2000000−2i2i−2i−2i2i2i002-20−2i2i0000000022-2-200000000000000−2i2i00000000
χ4022-2-222-2002-2-20200-2-222-2000000−2i−2i2i2i0022-2-2-20000222-2-2000000−2i2i−2i−2i2i2i00-220−2i2i00000000-2-222000000000000002i−2i00000000
χ4122-2-22-22002-2-20200-2-22-220000002i2i−2i−2i002-22-2-200002-2-222000000−2i2i2i2i−2i−2i2-2000−2i2i000022-2-200000000000000002i−2i0000000000
χ4222-2-22-22002-2-20200-2-22-220000002i2i−2i−2i002-22-2-200002-2-222000000−2i2i2i2i−2i−2i-22000−2i2i0000-2-2220000000000000000−2i2i0000000000
χ4322-2-22-22002-2-20200-2-22-22000000−2i−2i2i2i002-22-2-200002-2-2220000002i−2i−2i−2i2i2i2-20002i−2i000022-2-20000000000000000−2i2i0000000000
χ4422-2-22-22002-2-20200-2-22-22000000−2i−2i2i2i002-22-2-200002-2-2220000002i−2i−2i−2i2i2i-220002i−2i0000-2-22200000000000000002i−2i0000000000
χ452-22-22002i−2i-22-202002-2-2002i−2i2i2i−2i−2i2-22-2002002-20000-200002i2i−2i−2i2i−2i002-22-200000002i−2i000000000000000000000000002−2−i2i22−2−i2i2
χ462-22-22002i−2i-22-202002-2-2002i−2i2i2i−2i−2i2-22-2002002-20000-200002i2i−2i−2i2i−2i002-22-200000002i−2i00000000000000000000000000−22i2−i2−22i2−i2
χ472-22-22002i−2i-22-202002-2-2002i−2i2i2i−2i−2i-22-22002002-20000-200002i2i−2i−2i−2i2i00-22-220000000−2i2i00000000000000000000000000−i2i2−22i2−i22−2
χ482-22-22002i−2i-22-202002-2-2002i−2i2i2i−2i−2i-22-22002002-20000-200002i2i−2i−2i−2i2i00-22-220000000−2i2i00000000000000000000000000i2−i22−2−i2i2−22
χ492-22-2200−2i2i-22-202002-2-200−2i2i−2i−2i2i2i2-22-2002002-20000-20000−2i−2i2i2i−2i2i002-22-20000000−2i2i000000000000000000000000002−2i2−i22−2i2−i2
χ502-22-2200−2i2i-22-202002-2-200−2i2i−2i−2i2i2i2-22-2002002-20000-20000−2i−2i2i2i−2i2i002-22-20000000−2i2i00000000000000000000000000−22−i2i2−22−i2i2
χ512-22-2200−2i2i-22-202002-2-200−2i2i−2i−2i2i2i-22-22002002-20000-20000−2i−2i2i2i2i−2i00-22-2200000002i−2i00000000000000000000000000−i2i22−2i2−i2−22
χ522-22-2200−2i2i-22-202002-2-200−2i2i−2i−2i2i2i-22-22002002-20000-20000−2i−2i2i2i2i−2i00-22-2200000002i−2i00000000000000000000000000i2−i2−22−i2i22−2
χ534444444444444-144-1-1-14444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044440000000-1-1-1-1-1-1-1-1000000000000000000000000
χ544444444444444-144-1-1-14444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-4000000011111111000000000000000000000000
χ554444444-4-4444-4-1-4-4-1-1-144-4-41111000011-1-1-1-1-11111-1-1-1-1-111110000000044-4-40000000-1-1-1-11111000000000000000000000000
χ564444444-4-4444-4-1-4-4-1-1-144-4-41111000011-1-1-1-1-11111-1-1-1-1-1111100000000-4-44400000001111-1-1-1-1000000000000000000000000
χ5744444-4-444444-4-1-4-4-1-1-1-4-444-1-1-1-1000011-111-1-11111-11111-1-1-1-10000000000000000000−55−55−55−55000000000000000000000000
χ5844444-4-444444-4-1-4-4-1-1-1-4-444-1-1-1-1000011-111-1-11111-11111-1-1-1-100000000000000000005−55−55−55−5000000000000000000000000
χ5944444-4-4-4-44444-144-1-1-1-4-4-4-411110000-1-1-111-1-1-1-1-1-1-1111111110000000000000000000−55−555−55−5000000000000000000000000
χ6044444-4-4-4-44444-144-1-1-1-4-4-4-411110000-1-1-111-1-1-1-1-1-1-11111111100000000000000000005−55−5−55−55000000000000000000000000
χ6144-4-444-4004-4-40-10011-14-400−55−550000−55-1-1111−5−555-1-1-111−55−5500000000004-40000000−555−5-1-111000000000000000000000000
χ6244-4-444-4004-4-40-10011-14-400−55−550000−55-1-1111−5−555-1-1-111−55−550000000000-4400000005−5−5511-1-1000000000000000000000000
χ6344-4-444-4004-4-40-10011-14-4005−55−500005−5-1-111155−5−5-1-1-1115−55−500000000004-400000005−5−55-1-111000000000000000000000000
χ6444-4-444-4004-4-40-10011-14-4005−55−500005−5-1-111155−5−5-1-1-1115−55−50000000000-440000000−555−511-1-1000000000000000000000000
χ6544-4-44-44004-4-40-10011-1-4400−55−5500005−5-11-11155−5−5-111-1-1−55−55000000004-4000000000-1-111−555−5000000000000000000000000
χ6644-4-44-44004-4-40-10011-1-4400−55−5500005−5-11-11155−5−5-111-1-1−55−5500000000-4400000000011-1-15−5−55000000000000000000000000
χ6744-4-44-44004-4-40-10011-1-44005−55−50000−55-11-111−5−555-111-1-15−55−5000000004-4000000000-1-1115−5−55000000000000000000000000
χ6844-4-44-44004-4-40-10011-1-44005−55−50000−55-11-111−5−555-111-1-15−55−500000000-4400000000011-1-1−555−5000000000000000000000000
χ6944-4-4-24-400-2220400-4-44-220000004i4i−4i−4i00-24-4220000-2-2-2220000004i−4i−2i−2i2i2i00000−2i2i000000000000000000000000000000000000
χ7044-4-4-24-400-2220400-4-44-22000000−4i−4i4i4i00-24-4220000-2-2-222000000−4i4i2i2i−2i−2i000002i−2i000000000000000000000000000000000000
χ7144-4-4-2-4400-2220400-4-442-20000004i4i−4i−4i00-2-44220000-222-2-2000000−4i4i−2i−2i2i2i000002i−2i000000000000000000000000000000000000
χ7244-4-4-2-4400-2220400-4-442-2000000−4i−4i4i4i00-2-44220000-222-2-20000004i−4i2i2i−2i−2i00000−2i2i000000000000000000000000000000000000
χ734-44-4-2004i−4i2-2204004-4-400−2i2i4i4i−4i−4i4-44-400-200-22000020000−2i−2i2i2i4i−4i00-22-220000000−2i2i0000000000000000000000000000000000
χ744-44-4-2004i−4i2-2204004-4-400−2i2i4i4i−4i−4i-44-4400-200-22000020000−2i−2i2i2i−4i4i002-22-200000002i−2i0000000000000000000000000000000000
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χ764-44-4-200−4i4i2-2204004-4-4002i−2i−4i−4i4i4i-44-4400-200-220000200002i2i−2i−2i4i−4i002-22-20000000−2i2i0000000000000000000000000000000000
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χ824-4-44-2000022-2042i3−2i3-44-400000000−4i4i4i−4i00-2002-22i3−2i32i3−2i320000000000002i−2i−2i2i00000000023−2300000000000000000000000000000000
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χ848888-488-8-8-4-4-4-8-244-2-2-2-4-44422220000221-2-211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000
χ858888-4-8-888-4-4-4-8-244-2-2-244-4-4-2-2-2-200002212211-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000000000000
χ868888-4-8-8-8-8-4-4-48-2-4-4-2-2-2444422220000-2-21221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000
χ8788-8-8-48-800-4440-20022-2-4400−2525−25250000−25251-22-1-155−5−5111-1-15−55−5000000000000000000000000000000000000000000000000000
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χ938-88-8-4008i−8i4-440-200-22200−4i4i−2i−2i2i2i0000001001-1−i15i15i15−i15-1−1515−1515ii−i−i000000000000000000000000000000000000000000000000000
χ948-88-8-4008i−8i4-440-200-22200−4i4i−2i−2i2i2i0000001001-1i15−i15−i15i15-115−1515−15ii−i−i000000000000000000000000000000000000000000000000000
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χ968-88-8-400−8i8i4-440-200-222004i−4i2i2i−2i−2i0000001001-1i15−i15−i15i15-1−1515−1515−i−iii000000000000000000000000000000000000000000000000000
χ978-8-8880000-8-880-2002-220000−2i52i52i5−2i5000000-2002-2000020000−2i52i52i5−2i5000000000000000000000000000000000000000000000000000
χ988-8-8880000-8-880-2002-2200002i5−2i5−2i52i5000000-2002-20000200002i5−2i5−2i52i5000000000000000000000000000000000000000000000000000
χ998-8-88-4000044-40-2−4i34i32-220000−2i52i52i5−2i5000000100-11i3−i3i3−i3-115−15−1515i5−i5−i5i5000000000000000000000000000000000000000000000000000
χ1008-8-88-4000044-40-2−4i34i32-2200002i5−2i5−2i52i5000000100-11i3−i3i3−i3-1−151515−15−i5i5i5−i5000000000000000000000000000000000000000000000000000
χ1018-8-88-4000044-40-24i3−4i32-220000−2i52i52i5−2i5000000100-11−i3i3−i3i3-1−151515−15i5−i5−i5i5000000000000000000000000000000000000000000000000000
χ1028-8-88-4000044-40-24i3−4i32-2200002i5−2i5−2i52i5000000100-11−i3i3−i3i3-115−15−1515−i5i5i5−i5000000000000000000000000000000000000000000000000000

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