Finite Group Databasebeta

← Group #14302025

Character table — Group #14302025

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444445555888888888888888888888810101010101020202020202020202424404040404040404040404040484848486060606060606060120120
order12223446662456610101012121212444410101520202020303030303030306060606060606060221212121224666612124488882424242424242424202020204444444424
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
χ91111111111-1-11-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-111-1-1-11
χ101111111111-1-11-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-11-1-11-11-1-111-1-11111-1-1-1-111-1-111-11
χ111111111111-1-11-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-111-11-111-1-111-1-1-1-111-1-111-1-1111-1
χ121111111111-1-11-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-11-11-11-1-111-1-111-1-11111-1-111-1-11-1
χ131111111111-1-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111111-1i−i−iiii−i−i−i−iii11-1-1ii−i−i−i−iii1-1
χ141111111111-1-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111111-1−iii−i−i−iiiii−i−i11-1-1−i−iiiii−i−i1-1
χ151111111111-1-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-11i−i−iiii−i−i−i−iii-1-111−i−iiiii−i−i-11
χ161111111111-1-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-11−iii−i−i−iiiii−i−i-1-111ii−i−i−i−iii-11
χ1722222-2-22222-2222222-2-2-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-22-2-2-2-2220000000000000000000000000000
χ1822222-2-22222-2222222-2-2-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-22-22222-2-20000000000000000000000000000
χ1922222-2-2222-222-2-2222-2-2222222-2-22-2-22222-2-2-2-22-2-2-2-22222-2-222222-2-2-222-2-20000000000000000000000000000
χ2022222-2-2222-222-2-2222-2-222-2-2-2-2-2-22-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-2-2222-2-2220000000000000000000000000000
χ212222-122-1-1-1222-1-1222-1-1-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-100000000000000
χ222222-122-1-1-1222-1-1222-1-1-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-100-2-2-2-21111111100000000000000
χ232222-122-1-1-1222-1-1222-1-1-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111111002i2i−2i−2i−i−i−i−iiiii00000000000000
χ242222-122-1-1-1222-1-1222-1-1-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-211111100−2i−2i2i2iiiii−i−i−i−i00000000000000
χ252222-122-1-1-1-2-2211222-1-1112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-1-1-1-1-2-2-1-11111002-22-2-1-111-1-11100000000000000
χ262222-122-1-1-1-2-2211222-1-1112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-1-1-1-1-2-2-1-1111100-22-2211-1-111-1-100000000000000
χ272222-122-1-1-1-2-2211222-1-111-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-211112211-1-1-1-1002i−2i−2i2i−i−iiiii−i−i00000000000000
χ282222-122-1-1-1-2-2211222-1-111-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-211112211-1-1-1-100−2i2i2i−2iii−i−i−i−iii00000000000000
χ292222-1-2-2-1-1-12-22-1-12221111222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-1-1-1-1-221111-1-1000000−i3i3−i3i3−i3i3−i3i300000000000000
χ302222-1-2-2-1-1-12-22-1-12221111222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-1-1-1-1-221111-1-1000000i3−i3i3−i3i3−i3i3−i300000000000000
χ312222-1-2-2-1-1-12-22-1-12221111-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1111111112211112-2-1-1-1-1110000003−33−3−33−3300000000000000
χ322222-1-2-2-1-1-12-22-1-12221111-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1111111112211112-2-1-1-1-111000000−33−333−33−300000000000000
χ332222-1-2-2-1-1-1-2221122211-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-1-1-1-12-211-1-111000000−i3i3i3−i3−i3i3i3−i300000000000000
χ342222-1-2-2-1-1-1-2221122211-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-1-1-1-12-211-1-111000000i3−i3−i3i3i3−i3−i3i300000000000000
χ352222-1-2-2-1-1-1-2221122211-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1221111-22-1-111-1-10000003−3−33−333−300000000000000
χ362222-1-2-2-1-1-1-2221122211-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-1221111-22-1-111-1-1000000−333−33−3−3300000000000000
χ372-22-222-2-2-2200200-2-222-20022-2-20022-200-2-20000222-2-200002-222-2-2002-200000000000000000000002i−2i002i−2i0000
χ382-22-222-2-2-2200200-2-222-20022-2-20022-200-2-20000222-2-200002-222-2-2002-20000000000000000000000−2i2i00−2i2i0000
χ392-22-222-2-2-2200200-2-222-200-2-2220022-200-2-20000222-2-20000-22-2-22200-2200000000000000000000002-200-220000
χ402-22-222-2-2-2200200-2-222-200-2-2220022-200-2-20000222-2-20000-22-2-22200-220000000000000000000000-22002-20000
χ412-22-22-22-2-2200200-2-22-220022-2-2002-2200-2-200002-2-2220000-2222-2-200-220000000000000000000000002-2002-200
χ422-22-22-22-2-2200200-2-22-220022-2-2002-2200-2-200002-2-2220000-2222-2-200-22000000000000000000000000-2200-2200
χ432-22-22-22-2-2200200-2-22-2200-2-222002-2200-2-200002-2-22200002-2-2-222002-20000000000000000000000002i−2i00−2i2i00
χ442-22-22-22-2-2200200-2-22-2200-2-222002-2200-2-200002-2-22200002-2-2-222002-2000000000000000000000000−2i2i002i−2i00
χ45444444444444-144-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000044000000000000-1-1-1-10000000000
χ46444444444444-144-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-4-400000000000011110000000000
χ474444444444-4-4-1-4-4-1-1-144-4-4000011-1-1-111-1-11111-1-1-1-1-11111000000000000004-4000000000000-1-1110000000000
χ484444444444-4-4-1-4-4-1-1-144-4-4000011-1-1-111-1-11111-1-1-1-1-1111100000000000000-4400000000000011-1-10000000000
χ4944444-4-44444-4-144-1-1-1-4-4-4-40000-1-1-11111-1-1-1-1-1-1-1111111110000000000000000000000000000−55−550000000000
χ5044444-4-44444-4-144-1-1-1-4-4-4-40000-1-1-11111-1-1-1-1-1-1-11111111100000000000000000000000000005−55−50000000000
χ5144444-4-4444-44-1-4-4-1-1-1-4-444000011-111-1-1-1-11111-11111-1-1-1-10000000000000000000000000000−555−50000000000
χ5244444-4-4444-44-1-4-4-1-1-1-4-444000011-111-1-1-1-11111-11111-1-1-1-100000000000000000000000000005−5−550000000000
χ5344-4-44004-4-400400-44-400004i−4i4i−4i00400004-40000-400000000004i−4i4i−4i000000000000000000000000000000000000
χ5444-4-44004-4-400400-44-40000−4i4i−4i4i00400004-40000-40000000000−4i4i−4i4i000000000000000000000000000000000000
χ5544-4-4-200-222004−2i32i3-44-400004i−4i4i−4i00-20000-22−2i3−2i32i32i320000000000−2i2i−2i2i00000023−230000000000000000000000000000
χ5644-4-4-200-222004−2i32i3-44-40000−4i4i−4i4i00-20000-22−2i3−2i32i32i3200000000002i−2i2i−2i000000−23230000000000000000000000000000
χ5744-4-4-200-2220042i3−2i3-44-400004i−4i4i−4i00-20000-222i32i3−2i3−2i320000000000−2i2i−2i2i000000−23230000000000000000000000000000
χ5844-4-4-200-2220042i3−2i3-44-40000−4i4i−4i4i00-20000-222i32i3−2i3−2i3200000000002i−2i2i−2i00000023−230000000000000000000000000000
χ594-44-4-24-422-200400-4-44-220044-4-400-24-400220000-2-2-22200004-4-2-22200-2200000000000000000000000000000000
χ604-44-4-24-422-200400-4-44-2200-4-44400-24-400220000-2-2-2220000-4422-2-2002-200000000000000000000000000000000
χ614-44-4-2-4422-200400-4-442-20044-4-400-2-4400220000-222-2-20000-44-2-222002-200000000000000000000000000000000
χ624-44-4-2-4422-200400-4-442-200-4-44400-2-4400220000-222-2-200004-422-2-200-2200000000000000000000000000000000
χ634-4-44400-44-4004004-4-400004i−4i−4i4i0040000-440000-400000000004i−4i−4i4i000000000000000000000000000000000000
χ644-4-44400-44-4004004-4-40000−4i4i4i−4i0040000-440000-40000000000−4i4i4i−4i000000000000000000000000000000000000
χ654-4-44-2002-22004004-4-40023−234i−4i−4i4i00-200002-20000200002323−23−2300−2i2i2i−2i0000−2i32i3000000000000000000000000000000
χ664-4-44-2002-22004004-4-40023−23−4i4i4i−4i00-200002-20000200002323−23−23002i−2i−2i2i00002i3−2i3000000000000000000000000000000
χ674-4-44-2002-22004004-4-400−23234i−4i−4i4i00-200002-2000020000−23−23232300−2i2i2i−2i00002i3−2i3000000000000000000000000000000
χ684-4-44-2002-22004004-4-400−2323−4i4i4i−4i00-200002-2000020000−23−232323002i−2i−2i2i0000−2i32i3000000000000000000000000000000
χ698888-488-4-4-488-2-4-4-2-2-2-4-4-4-40000-2-21-2-2-2-2111111111111111000000000000000000000000000000000000000000
χ708888-488-4-4-4-8-8-244-2-2-2-4-4440000221-2-22211-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000
χ718888-4-8-8-4-4-48-8-2-4-4-2-2-244440000-2-2122221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ728888-4-8-8-4-4-4-88-244-2-2-244-4-4000022122-2-211-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000
χ7388-8-88008-8-800-2002-220000000000-200−2i52i5-22000020000−2i52i5−2i52i5000000000000000000000000000000000000000000
χ7488-8-88008-8-800-2002-220000000000-2002i5−2i5-220000200002i5−2i52i5−2i5000000000000000000000000000000000000000000
χ7588-8-8-400-44400-2−4i34i32-220000000000100−2i52i51-1i3i3−i3−i3-1−1515−1515i5−i5i5−i5000000000000000000000000000000000000000000
χ7688-8-8-400-44400-2−4i34i32-2200000000001002i5−2i51-1i3i3−i3−i3-115−1515−15−i5i5−i5i5000000000000000000000000000000000000000000
χ7788-8-8-400-44400-24i3−4i32-220000000000100−2i52i51-1−i3−i3i3i3-115−1515−15i5−i5i5−i5000000000000000000000000000000000000000000
χ7888-8-8-400-44400-24i3−4i32-2200000000001002i5−2i51-1−i3−i3i3i3-1−1515−1515−i5i5−i5i5000000000000000000000000000000000000000000
χ798-88-888-8-8-8800-20022-28-800000000-2-2200220000-2-2-2220000000000000000000000000000000000000000000000
χ808-88-88-88-8-8800-20022-2-8800000000-22-200220000-222-2-20000000000000000000000000000000000000000000000
χ818-88-8-48-844-400-20022-2-44000000001-2200-1-1−i15i15−i15i15111-1-1−i15i15i15−i15000000000000000000000000000000000000000000
χ828-88-8-48-844-400-20022-2-44000000001-2200-1-1i15−i15i15−i15111-1-1i15−i15−i15i15000000000000000000000000000000000000000000
χ838-88-8-4-8844-400-20022-24-40000000012-200-1-1−i15i15−i15i151-1-111i15−i15−i15i15000000000000000000000000000000000000000000
χ848-88-8-4-8844-400-20022-24-40000000012-200-1-1i15−i15i15−i151-1-111−i15i15i15−i15000000000000000000000000000000000000000000
χ858-8-88800-88-800-200-22200000000−2525-200002-2−252525−25200000000000000000000000000000000000000000000000000
χ868-8-88800-88-800-200-2220000000025−25-200002-225−25−2525200000000000000000000000000000000000000000000000000
χ878-8-88-4004-4400-200-2220043−430000−252510000-115−5−55-1−151515−15−3−333000000000000000000000000000000000000000000
χ888-8-88-4004-4400-200-2220043−43000025−2510000-11−555−5-115−15−1515−3−333000000000000000000000000000000000000000000
χ898-8-88-4004-4400-200-22200−43430000−252510000-115−5−55-115−15−151533−3−3000000000000000000000000000000000000000000
χ908-8-88-4004-4400-200-22200−4343000025−2510000-11−555−5-1−151515−1533−3−3000000000000000000000000000000000000000000

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