Finite Group Databasebeta

← Group #14305949

Character table — Group #14305949

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444445555888888888888888888888810101010101020202020202020202424404040404040404040404040484848486060606060606060120120
order1222344666445101010121212121212222215202020202020303030606060606060606060606060446666441212121212124444441212121212121212202020208888888844
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
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iiiii−i−i−i−i1111iiii−i−i−i−i-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−i−i−iiiii1111−i−i−i−iiiii-1-1
χ71111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1−i−i−i−iiiii11
χ81111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i11
χ91111111111-1-1111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-111-1-11-1
χ101111111111-1-1111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11-11-1-111-1-11111-1-1-1-111-1-1111-1
χ111111111111-1-1111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-11-111-1-111-1-1-1-111-1-111-1-111-11
χ121111111111-1-1111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-11-11-1-111-1-111-1-11111-1-111-1-1-11
χ131111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1i−i−iiii−i−i−i−iii11-1-1ii−i−i−i−iii-11
χ141111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1−iii−i−i−iiiii−i−i11-1-1−i−iiiii−i−i-11
χ151111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11i−i−iiii−i−i−i−iii-1-111−i−iiiii−i−i1-1
χ161111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11−iii−i−i−iiiii−i−i-1-111ii−i−i−i−iii1-1
χ1722222-2-22222-22222-2-222-2-22222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-222222-2-2-222-2-20000000000000000000000000000
χ1822222-2-22222-22222-2-222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-2-2222-2-2220000000000000000000000000000
χ1922222-2-2222-222222-2-2-2-22222222-2-222-2-2222-2-2-2-2-2-2-2-22222-2-22222-22-2-2-2-2220000000000000000000000000000
χ2022222-2-2222-222222-2-2-2-222-2-2-2-22-2-222-2-2222-2-2-2-2-2-2-2-2222222-2-2-2-22-22222-2-20000000000000000000000000000
χ212222-122-1-1-1222222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-100000000000000
χ222222-122-1-1-1222222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-100-2-2-2-21111111100000000000000
χ232222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111111002i2i−2i−2i−i−i−i−iiiii00000000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-211111100−2i−2i2i2iiiii−i−i−i−i00000000000000
χ252222-122-1-1-1-2-22222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-11111111122-1-1-1-1-2-2-1-11111002-22-2-1-111-1-11100000000000000
χ262222-122-1-1-1-2-22222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-11111111122-1-1-1-1-2-2-1-1111100-22-2211-1-111-1-100000000000000
χ272222-122-1-1-1-2-22222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-2-211112211-1-1-1-1002i−2i−2i2i−i−iiiii−i−i00000000000000
χ282222-122-1-1-1-2-22222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-2-211112211-1-1-1-100−2i2i2i−2iii−i−i−i−iii00000000000000
χ292222-1-2-2-1-1-12-2222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-11111-2-2-1-1-1-12-211-1-111000000−i3i3−i3i3−i3i3−i3i300000000000000
χ302222-1-2-2-1-1-12-2222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-11111-2-2-1-1-1-12-211-1-111000000i3−i3i3−i3i3−i3i3−i300000000000000
χ312222-1-2-2-1-1-12-2222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111221111-22-1-111-1-10000003−33−3−33−3300000000000000
χ322222-1-2-2-1-1-12-2222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111221111-22-1-111-1-1000000−33−333−33−300000000000000
χ332222-1-2-2-1-1-1-2222221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-2-1-1-1-1-221111-1-1000000−i3i3i3−i3−i3i3i3−i300000000000000
χ342222-1-2-2-1-1-1-2222221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-2-1-1-1-1-221111-1-1000000i3−i3−i3i3i3−i3−i3i300000000000000
χ352222-1-2-2-1-1-1-2222221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-12211112-2-1-1-1-1110000003−3−33−333−300000000000000
χ362222-1-2-2-1-1-1-2222221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-12211112-2-1-1-1-111000000−333−33−3−3300000000000000
χ372-2-2222-22-2-2002-2-222-2000022-2-2200002-22-2-222-2-2000000002-222-2-2002-20000000000000000000000002i−2i002i−2i00
χ382-2-2222-22-2-2002-2-222-2000022-2-2200002-22-2-222-2-2000000002-222-2-2002-2000000000000000000000000−2i2i00−2i2i00
χ392-2-2222-22-2-2002-2-222-20000-2-222200002-22-2-222-2-200000000-22-2-22200-220000000000000000000000002-200-2200
χ402-2-2222-22-2-2002-2-222-20000-2-222200002-22-2-222-2-200000000-22-2-22200-22000000000000000000000000-22002-200
χ412-2-222-222-2-2002-2-22-22000022-2-220000-222-2-2-2-22200000000-2222-2-200-2200000000000000000000002i−2i002i−2i0000
χ422-2-222-222-2-2002-2-22-22000022-2-220000-222-2-2-2-22200000000-2222-2-200-220000000000000000000000−2i2i00−2i2i0000
χ432-2-222-222-2-2002-2-22-220000-2-22220000-222-2-2-2-222000000002-2-2-222002-200000000000000000000002-200-220000
χ442-2-222-222-2-2002-2-22-220000-2-22220000-222-2-2-2-222000000002-2-2-222002-20000000000000000000000-22002-20000
χ45444444444444-1-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000044000000000000-1-1-1-10000000000
χ46444444444444-1-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-4-400000000000011110000000000
χ474444444444-4-4-1-1-1-144-4-4-4-40000-11111-1-1-1-1-1-1-1-1-111111111000000000000004-4000000000000-1-1110000000000
χ484444444444-4-4-1-1-1-144-4-4-4-40000-11111-1-1-1-1-1-1-1-1-11111111100000000000000-4400000000000011-1-10000000000
χ4944444-4-44444-4-1-1-1-1-4-444-4-40000-1-1-11111-1-1-11111-1-1-1-111110000000000000000000000000000−55−550000000000
χ5044444-4-44444-4-1-1-1-1-4-444-4-40000-1-1-11111-1-1-11111-1-1-1-1111100000000000000000000000000005−55−50000000000
χ5144444-4-4444-44-1-1-1-1-4-4-4-4440000-111-1-111-1-1-111111111-1-1-1-10000000000000000000000000000−555−50000000000
χ5244444-4-4444-44-1-1-1-1-4-4-4-4440000-111-1-111-1-1-111111111-1-1-1-100000000000000000000000000005−5−550000000000
χ5344-4-4400-44-40044-4-40000004-44-44000000-44-4000000000000004-44-4000000000000000000000000000000000000
χ5444-4-4400-44-40044-4-4000000-44-444000000-44-400000000000000-44-44000000000000000000000000000000000000
χ5544-4-4-2002-220044-4-4000023−234-44-4-20000002-22000000002323−23−2300-22-2200000023−230000000000000000000000000000
χ5644-4-4-2002-220044-4-4000023−23-44-44-20000002-22000000002323−23−23002-22-2000000−23230000000000000000000000000000
χ5744-4-4-2002-220044-4-40000−23234-44-4-20000002-2200000000−23−23232300-22-22000000−23230000000000000000000000000000
χ5844-4-4-2002-220044-4-40000−2323-44-44-20000002-2200000000−23−232323002-22-200000023−230000000000000000000000000000
χ594-44-4400-4-44004-44-40000004-4-444000000-4-44000000000000004-4-44000000000000000000000000000000000000
χ604-44-4400-4-44004-44-4000000-444-44000000-4-4400000000000000-444-4000000000000000000000000000000000000
χ614-44-4-20022-2004-44-40023−23004-4-44-200000022-200002323−23−23000000-222-2000023−23000000000000000000000000000000
χ624-44-4-20022-2004-44-40023−2300-444-4-200000022-200002323−23−230000002-2-220000−2323000000000000000000000000000000
χ634-44-4-20022-2004-44-400−2323004-4-44-200000022-20000−23−232323000000-222-20000−2323000000000000000000000000000000
χ644-44-4-20022-2004-44-400−232300-444-4-200000022-20000−23−2323230000002-2-22000023−23000000000000000000000000000000
χ654-4-44-24-4-222004-4-44-22000044-4-4-200004-4-222-2-222000000004-4-2-22200-2200000000000000000000000000000000
χ664-4-44-24-4-222004-4-44-220000-4-444-200004-4-222-2-22200000000-4422-2-2002-200000000000000000000000000000000
χ674-4-44-2-44-222004-4-442-2000044-4-4-20000-44-22222-2-200000000-44-2-222002-200000000000000000000000000000000
χ684-4-44-2-44-222004-4-442-20000-4-444-20000-44-22222-2-2000000004-422-2-200-2200000000000000000000000000000000
χ698888-488-4-4-488-2-2-2-2-4-4-4-4-4-400001-2-2-2-2-2-2111111111111111000000000000000000000000000000000000000000
χ708888-488-4-4-4-8-8-2-2-2-2-4-44444000012222-2-21111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ718888-4-8-8-4-4-48-8-2-2-2-244-4-44400001-2-22222111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ728888-4-8-8-4-4-4-88-2-2-2-24444-4-40000122-2-222111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ7388-8-8800-88-800-2-2220000000000-2−252500002-220000−2525−25250000000000000000000000000000000000000000000000
χ7488-8-8800-88-800-2-2220000000000-225−2500002-22000025−2525−250000000000000000000000000000000000000000000000
χ7588-8-8-4004-4400-2-222000043−4300001−25250000-11-1−1515−15155−55−5−3−333000000000000000000000000000000000000000000
χ7688-8-8-4004-4400-2-222000043−430000125−250000-11-115−1515−15−55−55−3−333000000000000000000000000000000000000000000
χ7788-8-8-4004-4400-2-2220000−434300001−25250000-11-115−1515−155−55−533−3−3000000000000000000000000000000000000000000
χ7888-8-8-4004-4400-2-2220000−43430000125−250000-11-1−1515−1515−55−5533−3−3000000000000000000000000000000000000000000
χ798-88-8800-8-8800-22-220000000000-200−25250022-200000000−2525−2525000000000000000000000000000000000000000000
χ808-88-8800-8-8800-22-220000000000-20025−250022-20000000025−2525−25000000000000000000000000000000000000000000
χ818-88-8-40044-400-22-220043−43000000100−252500-1-11−151515−15−3−3335−55−5000000000000000000000000000000000000000000
χ828-88-8-40044-400-22-220043−4300000010025−2500-1-1115−15−1515−3−333−55−55000000000000000000000000000000000000000000
χ838-88-8-40044-400-22-2200−4343000000100−252500-1-1115−15−151533−3−35−55−5000000000000000000000000000000000000000000
χ848-88-8-40044-400-22-2200−434300000010025−2500-1-11−151515−1533−3−3−55−55000000000000000000000000000000000000000000
χ858-8-8888-88-8-800-222-28-800000000-20000-22-222-2-22200000000000000000000000000000000000000000000000000
χ868-8-888-888-8-800-222-2-8800000000-200002-2-22222-2-200000000000000000000000000000000000000000000000000
χ878-8-88-48-8-44400-222-2-440000000010000-221-1-111-1-1−151515−1515−15−1515000000000000000000000000000000000000000000
χ888-8-88-48-8-44400-222-2-440000000010000-221-1-111-1-115−15−1515−151515−15000000000000000000000000000000000000000000
χ898-8-88-4-88-44400-222-24-400000000100002-21-1-1-1-111−151515−15−151515−15000000000000000000000000000000000000000000
χ908-8-88-4-88-44400-222-24-400000000100002-21-1-1-1-11115−15−151515−15−1515000000000000000000000000000000000000000000

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