Finite Group Databasebeta

← Group #14284264

Character table — Group #14284264

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444444444488888888888888888888881010101010101010101010102020202020202424404040404040404040404040484848486060606060606060120120
order122234466644510101012121212121215202020202020303030606060606060606060606060224444441212121266121212124488882424242424242424202020208888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iiiii−i−i−i−i1111iiii−i−i−i−i-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−i−i−iiiii1111−i−i−i−iiiii-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1−i−i−i−iiiii11
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i11
χ911111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1i−ii−iii−i−iii−i−i11-1-1ii−i−iii−i−i1-1
χ1011111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1−ii−ii−i−iii−i−iii11-1-1−i−iii−i−iii1-1
χ1111111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11i−ii−iii−i−iii−i−i-1-111−i−iii−i−iii-11
χ1211111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11−ii−ii−i−iii−i−iii-1-111ii−i−iii−i−i-11
χ1311111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1-1111-1-1-1-11111-1-111-1-1-1-111-11
χ1411111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111-1-1-11111-1-111-1-1-1-11111-1-1-11
χ1511111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1111-1-1-1-111-1-111-1-11111-1-11-1
χ1611111-1-11111-1111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111-1-1-11111-1-1-1-11111-1-1-1-1111-1
χ172222222222-2-22222-2-222-2-22-2-2-2-222222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ182222222222-2-22222-2-222-2-22-2-2-2-222222-2-2-2-22222-2-2-2-2-2-22222-2-22222-2-222-2-20000000000000000000000000000
χ1922222-2-2222-222222-2-2-2-2222-2-222-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2222222-2-2-2-20000000000000000000000000000
χ2022222-2-2222-222222-2-2-2-2222-2-222-2-2222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2-2-2-2-222220000000000000000000000000000
χ212222-122-1-1-1222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-100000000000000
χ222222-122-1-1-1222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100-2-2-2-21111111100000000000000
χ232222-122-1-1-1222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111002i2i−2i−2i−i−i−i−iiiii00000000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111100−2i−2i2i2iiiii−i−i−i−i00000000000000
χ252222-122-1-1-1-2-2222211-1-111-1-2-2-2-222-1-1-11111-1-1-1-1111122-2-2-2-2221111-1-111-1-10000003−33−33−33−300000000000000
χ262222-122-1-1-1-2-2222211-1-111-1-2-2-2-222-1-1-11111-1-1-1-1111122-2-2-2-2221111-1-111-1-1000000−33−33−33−3300000000000000
χ272222-122-1-1-1-2-2222211-1-111-1-2-2-2-222-1-1-11111-1-1-1-11111-2-22222-2-2-1-1-1-111-1-111000000−i3i3−i3i3i3−i3i3−i300000000000000
χ282222-122-1-1-1-2-2222211-1-111-1-2-2-2-222-1-1-11111-1-1-1-11111-2-22222-2-2-1-1-1-111-1-111000000i3−i3i3−i3−i3i3−i3i300000000000000
χ292222-1-2-2-1-1-12-22222-1-11111-122-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-21111-1-1-1-111002i−2i2i−2i−i−iii−i−iii00000000000000
χ302222-1-2-2-1-1-12-22222-1-11111-122-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-21111-1-1-1-11100−2i2i−2i2iii−i−iii−i−i00000000000000
χ312222-1-2-2-1-1-12-22222-1-11111-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-11111-1-1002-2-22-1-11111-1-100000000000000
χ322222-1-2-2-1-1-12-22222-1-11111-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-11111-1-100-222-211-1-1-1-11100000000000000
χ332222-1-2-2-1-1-1-2222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-122-2-222-2-2-1-1-1-1-1-11111000000−i3i3i3−i3−i3i3i3−i300000000000000
χ342222-1-2-2-1-1-1-2222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-122-2-222-2-2-1-1-1-1-1-11111000000i3−i3−i3i3i3−i3−i3i300000000000000
χ352222-1-2-2-1-1-1-2222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-222111111-1-1-1-10000003−3−33−333−300000000000000
χ362222-1-2-2-1-1-1-2222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-222111111-1-1-1-1000000−333−33−3−3300000000000000
χ372-22-222-22-2-2002-2-22002-200200002-22-2-2000022-2-20000002i−2i2i−2i002i2i−2i−2i002i−2i000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00
χ382-22-222-22-2-2002-2-22002-200200002-22-2-2000022-2-20000002i−2i2i−2i002i2i−2i−2i002i−2i00000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00
χ392-22-222-22-2-2002-2-22002-200200002-22-2-2000022-2-2000000−2i2i−2i2i00−2i−2i2i2i00−2i2i000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00
χ402-22-222-22-2-2002-2-22002-200200002-22-2-2000022-2-2000000−2i2i−2i2i00−2i−2i2i2i00−2i2i00000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00
χ412-22-22-222-2-2002-2-2200-220020000-222-2-20000-2-2220000002i−2i−2i2i00−2i−2i2i2i002i−2i000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00
χ422-22-22-222-2-2002-2-2200-220020000-222-2-20000-2-2220000002i−2i−2i2i00−2i−2i2i2i002i−2i00000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00
χ432-22-22-222-2-2002-2-2200-220020000-222-2-20000-2-222000000−2i2i2i−2i002i2i−2i−2i00−2i2i000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00
χ442-22-22-222-2-2002-2-2200-220020000-222-2-20000-2-222000000−2i2i2i−2i002i2i−2i−2i00−2i2i00000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00
χ45444444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000044000000000000-1-1-1-10000000000
χ46444444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-4-400000000000011110000000000
χ474444444444-4-4-1-1-1-1-4-444-4-4-11111-1-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−55−550000000000
χ484444444444-4-4-1-1-1-1-4-444-4-4-11111-1-1-1-1-11111-1-1-1-11111000000000000000000000000000000005−55−50000000000
χ4944444-4-44444-4-1-1-1-144-4-4-4-4-1-1-11111-1-1-1-1-1-1-1111111110000000000000000004-4000000000000-1-1110000000000
χ5044444-4-44444-4-1-1-1-144-4-4-4-4-1-1-11111-1-1-1-1-1-1-111111111000000000000000000-4400000000000011-1-10000000000
χ5144444-4-4444-44-1-1-1-1-4-4-4-444-111-1-111-1-1-111111111-1-1-1-100000000000000000000000000000000−555−50000000000
χ5244444-4-4444-44-1-1-1-1-4-4-4-444-111-1-111-1-1-111111111-1-1-1-1000000000000000000000000000000005−5−550000000000
χ5344-4-4400-44-40044-4-40000004000000-44-40000000000004-400000000004-400000000000000000000000000000000
χ5444-4-4400-44-40044-4-40000004000000-44-4000000000000-440000000000-4400000000000000000000000000000000
χ5544-4-4-2002-220044-4-4000023−23-20000002-22000000002323−23−234-400000023−2323−23-2200000000000000000000000000000000
χ5644-4-4-2002-220044-4-4000023−23-20000002-22000000002323−23−23-44000000−2323−23232-200000000000000000000000000000000
χ5744-4-4-2002-220044-4-40000−2323-20000002-2200000000−23−2323234-4000000−2323−2323-2200000000000000000000000000000000
χ5844-4-4-2002-220044-4-40000−2323-20000002-2200000000−23−232323-4400000023−2323−232-200000000000000000000000000000000
χ594-44-4-24-4-222004-4-4400-2200-200004-4-2220000-2-2220000004i−4i4i−4i00−2i−2i2i2i00−2i2i000000000000000000000000000000
χ604-44-4-24-4-222004-4-4400-2200-200004-4-2220000-2-222000000−4i4i−4i4i002i2i−2i−2i002i−2i000000000000000000000000000000
χ614-44-4-2-44-222004-4-44002-200-20000-44-222000022-2-20000004i−4i−4i4i002i2i−2i−2i00−2i2i000000000000000000000000000000
χ624-44-4-2-44-222004-4-44002-200-20000-44-222000022-2-2000000−4i4i4i−4i00−2i−2i2i2i002i−2i000000000000000000000000000000
χ634-4-44400-4-44004-44-40000004000000-4-440000000000000000004i−4i000000004i−4i0000000000000000000000000000
χ644-4-44400-4-44004-44-40000004000000-4-44000000000000000000−4i4i00000000−4i4i0000000000000000000000000000
χ654-4-44-20022-2004-44-423−230000-200000022-22323−23−23000000000000004i−4i−2i32i32i3−2i30000−2i2i0000000000000000000000000000
χ664-4-44-20022-2004-44-423−230000-200000022-22323−23−2300000000000000−4i4i2i3−2i3−2i32i300002i−2i0000000000000000000000000000
χ674-4-44-20022-2004-44-4−23230000-200000022-2−23−232323000000000000004i−4i2i3−2i3−2i32i30000−2i2i0000000000000000000000000000
χ684-4-44-20022-2004-44-4−23230000-200000022-2−23−23232300000000000000−4i4i−2i32i32i3−2i300002i−2i0000000000000000000000000000
χ698888-488-4-4-488-2-2-2-2-4-4-4-4-4-41-2-2-2-2-2-21111111111111110000000000000000000000000000000000000000000000
χ708888-488-4-4-4-8-8-2-2-2-244-4-44412222-2-2111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ718888-4-8-8-4-4-48-8-2-2-2-2-4-444441-2-222221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ728888-4-8-8-4-4-4-88-2-2-2-24444-4-4122-2-222111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ7388-8-8800-88-800-2-222000000-2−252500002-22−2525−2525000000000000000000000000000000000000000000000000000000
χ7488-8-8800-88-800-2-222000000-225−2500002-2225−2525−25000000000000000000000000000000000000000000000000000000
χ7588-8-8-4004-4400-2-222000043−431−25250000-11-15−55−5−1515−1515−3−3330000000000000000000000000000000000000000000000
χ7688-8-8-4004-4400-2-222000043−43125−250000-11-1−55−5515−1515−15−3−3330000000000000000000000000000000000000000000000
χ7788-8-8-4004-4400-2-2220000−43431−25250000-11-15−55−515−1515−1533−3−30000000000000000000000000000000000000000000000
χ7888-8-8-4004-4400-2-2220000−4343125−250000-11-1−55−55−1515−151533−3−30000000000000000000000000000000000000000000000
χ798-88-888-88-8-800-222-2008-800-20000-22-2220000-2-22200000000000000000000000000000000000000000000000000
χ808-88-88-888-8-800-222-200-8800-200002-2-222000022-2-200000000000000000000000000000000000000000000000000
χ818-88-8-48-8-44400-222-200-440010000-221-1-1−151515−1511-1-1−1515−15150000000000000000000000000000000000000000000000
χ828-88-8-48-8-44400-222-200-440010000-221-1-115−15−151511-1-115−1515−150000000000000000000000000000000000000000000000
χ838-88-8-4-88-44400-222-2004-400100002-21-1-1−151515−15-1-11115−1515−150000000000000000000000000000000000000000000000
χ848-88-8-4-88-44400-222-2004-400100002-21-1-115−15−1515-1-111−1515−15150000000000000000000000000000000000000000000000
χ858-8-88800-8-8800-22-22000000-200−25250022-200000000−252525−250000000000000000000000000000000000000000000000
χ868-8-88800-8-8800-22-22000000-20025−250022-20000000025−25−25250000000000000000000000000000000000000000000000
χ878-8-88-40044-400-22-2243−430000100−252500-1-11−3−33315−15−15155−5−550000000000000000000000000000000000000000000000
χ888-8-88-40044-400-22-2243−43000010025−2500-1-11−3−333−151515−15−555−50000000000000000000000000000000000000000000000
χ898-8-88-40044-400-22-22−43430000100−252500-1-1133−3−3−151515−155−5−550000000000000000000000000000000000000000000000
χ908-8-88-40044-400-22-22−4343000010025−2500-1-1133−3−315−15−1515−555−50000000000000000000000000000000000000000000000

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