Finite Group Databasebeta

← Group #14285167

Character table — Group #14285167

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444444444488888888888888888888881010101010101010101010102020202020202424404040404040404040404040484848486060606060606060120120
order122234466624566101010121212121010152020202030303030303030606060606060606044444444121212121212121212122488882424242424242424101020208888888824
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
χ911111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1i−ii−iii−i−iii−i−i11-1-1ii−i−iii−i−i-11
χ1011111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1−ii−ii−i−iii−i−iii11-1-1−i−iii−i−iii-11
χ1111111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11i−ii−iii−i−iii−i−i-1-111−i−iii−i−iii1-1
χ1211111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11−ii−ii−i−iii−i−iii-1-111ii−i−iii−i−i1-1
χ1311111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1-1111-1-1-1-11111-1-111-1-1-1-1111-1
χ1411111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111-1-1-11111-1-111-1-1-1-11111-1-11-1
χ1511111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1111-1-1-1-111-1-111-1-11111-1-1-11
χ1611111-1-1111-111-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111-1-1-11111-1-1-1-11111-1-1-1-111-11
χ172222222222-2-22-2-2222-2-222-2-22-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ182222222222-2-22-2-2222-2-222-2-22-2-22222-2-2-2-22-2-2-2-22222-2-22222-2-22222-2-222-2-20000000000000000000000000000
χ1922222-2-22222-2222222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222-2-2222222-2-2-2-20000000000000000000000000000
χ2022222-2-22222-2222222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-222220000000000000000000000000000
χ212222-122-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-100000000000000
χ222222-122-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100-2-2-2-21111111100000000000000
χ232222-122-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111002i2i−2i−2i−i−i−i−iiiii00000000000000
χ242222-122-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111100−2i−2i2i2iiiii−i−i−i−i00000000000000
χ252222-122-1-1-1-2-221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2-2-2221111-1-111-1-10000003−33−33−33−300000000000000
χ262222-122-1-1-1-2-221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2-2-2221111-1-111-1-1000000−33−33−33−3300000000000000
χ272222-122-1-1-1-2-221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1-2-22222-2-2-1-1-1-111-1-111000000−i3i3−i3i3i3−i3i3−i300000000000000
χ282222-122-1-1-1-2-221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1-2-22222-2-2-1-1-1-111-1-111000000i3−i3i3−i3−i3i3−i3i300000000000000
χ292222-1-2-2-1-1-12-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-1-1-11111000000−i3i3i3−i3−i3i3i3−i300000000000000
χ302222-1-2-2-1-1-12-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-1-1-11111000000i3−i3−i3i3i3−i3−i3i300000000000000
χ312222-1-2-2-1-1-12-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-222111111-1-1-1-10000003−3−33−333−300000000000000
χ322222-1-2-2-1-1-12-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-222111111-1-1-1-1000000−333−33−3−3300000000000000
χ332222-1-2-2-1-1-1-22211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-111112222-2-2-2-21111-1-1-1-111002i−2i2i−2i−i−iii−i−iii00000000000000
χ342222-1-2-2-1-1-1-22211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-111112222-2-2-2-21111-1-1-1-11100−2i2i−2i2iii−i−iii−i−i00000000000000
χ352222-1-2-2-1-1-1-22211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-22222-1-1-1-11111-1-1002-2-22-1-11111-1-100000000000000
χ362222-1-2-2-1-1-1-22211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-22222-1-1-1-11111-1-100-222-211-1-1-1-11100000000000000
χ372-22-222i−2i-22-2002002-2-2002i−2i002002i−2i2-20000-200002i2i−2i−2i002i−2i2-20022-2-2002i−2i000000000000000000002−2−i2i2−i2i22−200
χ382-22-222i−2i-22-2002002-2-2002i−2i002002i−2i2-20000-200002i2i−2i−2i002i−2i2-20022-2-2002i−2i00000000000000000000−22i2−i2i2−i2−2200
χ392-22-222i−2i-22-2002002-2-2002i−2i002002i−2i2-20000-200002i2i−2i−2i00−2i2i-2200-2-22200−2i2i00000000000000000000−i2i2−222−2i2−i200
χ402-22-222i−2i-22-2002002-2-2002i−2i002002i−2i2-20000-200002i2i−2i−2i00−2i2i-2200-2-22200−2i2i00000000000000000000i2−i22−2−22−i2i200
χ412-22-22−2i2i-22-2002002-2-200−2i2i00200−2i2i2-20000-20000−2i−2i2i2i002i−2i-2200-2-222002i−2i00000000000000000000−i2i22−2−22i2−i200
χ422-22-22−2i2i-22-2002002-2-200−2i2i00200−2i2i2-20000-20000−2i−2i2i2i002i−2i-2200-2-222002i−2i00000000000000000000i2−i2−222−2−i2i200
χ432-22-22−2i2i-22-2002002-2-200−2i2i00200−2i2i2-20000-20000−2i−2i2i2i00−2i2i2-20022-2-200−2i2i000000000000000000002−2i2−i2i2−i22−200
χ442-22-22−2i2i-22-2002002-2-200−2i2i00200−2i2i2-20000-20000−2i−2i2i2i00−2i2i2-20022-2-200−2i2i00000000000000000000−22−i2i2−i2i2−2200
χ45444444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000044000000000000-1-1-1-10000000000
χ46444444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-4-400000000000011110000000000
χ474444444444-4-4-1-4-4-1-1-1-4-44411-111-1-1-1-11111-11111-1-1-1-100000000000000000000000000000000−55−550000000000
χ484444444444-4-4-1-4-4-1-1-1-4-44411-111-1-1-1-11111-11111-1-1-1-1000000000000000000000000000000005−55−50000000000
χ4944444-4-44444-4-144-1-1-1-4-4-4-4-1-1-11111-1-1-1-1-1-1-11111111100000000000000000000000000000000−555−50000000000
χ5044444-4-44444-4-144-1-1-1-4-4-4-4-1-1-11111-1-1-1-1-1-1-111111111000000000000000000000000000000005−5−550000000000
χ5144444-4-4444-44-1-4-4-1-1-144-4-411-1-1-111-1-11111-1-1-1-1-111110000000000000000004-4000000000000-1-1110000000000
χ5244444-4-4444-44-1-4-4-1-1-144-4-411-1-1-111-1-11111-1-1-1-1-11111000000000000000000-4400000000000011-1-10000000000
χ5344-4-44004-4-400400-44-400000040000-4-400004000000004i−4i00000000004i−4i00000000000000000000000000000000
χ5444-4-44004-4-400400-44-400000040000-4-40000400000000−4i4i0000000000−4i4i00000000000000000000000000000000
χ5544-4-4-200-222004−2i32i3-44-4000000-2000022−2i3−2i32i32i3-2000000004i−4i00000023−2323−23−2i2i00000000000000000000000000000000
χ5644-4-4-200-222004−2i32i3-44-4000000-2000022−2i3−2i32i32i3-200000000−4i4i000000−2323−23232i−2i00000000000000000000000000000000
χ5744-4-4-200-2220042i3−2i3-44-4000000-20000222i32i3−2i3−2i3-2000000004i−4i000000−2323−2323−2i2i00000000000000000000000000000000
χ5844-4-4-200-2220042i3−2i3-44-4000000-20000222i32i3−2i3−2i3-200000000−4i4i00000023−2323−232i−2i00000000000000000000000000000000
χ594-44-4-24i−4i2-22004004-4-400−2i2i00-2004i−4i-22000020000−2i−2i2i2i004i−4i4-400-2-22200−2i2i000000000000000000000000000000
χ604-44-4-24i−4i2-22004004-4-400−2i2i00-2004i−4i-22000020000−2i−2i2i2i00−4i4i-440022-2-2002i−2i000000000000000000000000000000
χ614-44-4-2−4i4i2-22004004-4-4002i−2i00-200−4i4i-220000200002i2i−2i−2i004i−4i-440022-2-200−2i2i000000000000000000000000000000
χ624-44-4-2−4i4i2-22004004-4-4002i−2i00-200−4i4i-220000200002i2i−2i−2i00−4i4i4-400-2-222002i−2i000000000000000000000000000000
χ634-4-44400-4-4400400-4-4400000040000-440000-4000000000000004-4000000004-40000000000000000000000000000
χ644-4-44400-4-4400400-4-4400000040000-440000-400000000000000-4400000000-440000000000000000000000000000
χ654-4-44-20022-200400-4-4423−230000-200002-2000022323−23−2300000000004-423−23−23230000-220000000000000000000000000000
χ664-4-44-20022-200400-4-4423−230000-200002-2000022323−23−230000000000-44−232323−2300002-20000000000000000000000000000
χ674-4-44-20022-200400-4-44−23230000-200002-200002−23−23232300000000004-4−232323−230000-220000000000000000000000000000
χ684-4-44-20022-200400-4-44−23230000-200002-200002−23−2323230000000000-4423−23−232300002-20000000000000000000000000000
χ698888-488-4-4-488-2-4-4-2-2-2-4-4-4-4-2-21-2-2-2-21111111111111110000000000000000000000000000000000000000000000
χ708888-488-4-4-4-8-8-244-2-2-244-4-422122-2-211-1-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000
χ718888-4-8-8-4-4-48-8-2-4-4-2-2-24444-2-2122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ728888-4-8-8-4-4-4-88-244-2-2-2-4-444221-2-22211-1-1-1-111111-1-1-1-10000000000000000000000000000000000000000000000
χ7388-8-88008-8-800-2002-22000000-2−252500220000-2−2525−252500000000000000000000000000000000000000000000000000
χ7488-8-88008-8-800-2002-22000000-225−2500220000-225−2525−2500000000000000000000000000000000000000000000000000
χ7588-8-8-400-44400-2−4i34i32-220000001−252500-1-1i3i3−i3−i315−55−5−i15i15−i15i150000000000000000000000000000000000000000000000
χ7688-8-8-400-44400-2−4i34i32-22000000125−2500-1-1i3i3−i3−i31−55−55i15−i15i15−i150000000000000000000000000000000000000000000000
χ7788-8-8-400-44400-24i3−4i32-220000001−252500-1-1−i3−i3i3i315−55−5i15−i15i15−i150000000000000000000000000000000000000000000000
χ7888-8-8-400-44400-24i3−4i32-22000000125−2500-1-1−i3−i3i3i31−55−55−i15i15−i15i150000000000000000000000000000000000000000000000
χ798-88-888i−8i-88-800-200-222008i−8i00-200−2i2i-22000020000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ808-88-88−8i8i-88-800-200-22200−8i8i00-2002i−2i-220000200002i2i−2i−2i0000000000000000000000000000000000000000000000
χ818-88-8-48i−8i4-4400-200-22200−4i4i00100−2i2i1-1−i15i15−i15i15-1−151515−15ii−i−i0000000000000000000000000000000000000000000000
χ828-88-8-48i−8i4-4400-200-22200−4i4i00100−2i2i1-1i15−i15i15−i15-115−15−1515ii−i−i0000000000000000000000000000000000000000000000
χ838-88-8-4−8i8i4-4400-200-222004i−4i001002i−2i1-1−i15i15−i15i15-115−15−1515−i−iii0000000000000000000000000000000000000000000000
χ848-88-8-4−8i8i4-4400-200-222004i−4i001002i−2i1-1i15−i15i15−i15-1−151515−15−i−iii0000000000000000000000000000000000000000000000
χ858-8-88800-8-8800-20022-20000−2525-200002-2−252525−252000000000000000000000000000000000000000000000000000000
χ868-8-88800-8-8800-20022-2000025−25-200002-225−25−25252000000000000000000000000000000000000000000000000000000
χ878-8-88-40044-400-20022-243−4300−252510000-115−5−55-1−3−333−151515−150000000000000000000000000000000000000000000000
χ888-8-88-40044-400-20022-243−430025−2510000-11−555−5-1−3−33315−15−15150000000000000000000000000000000000000000000000
χ898-8-88-40044-400-20022-2−434300−252510000-115−5−55-133−3−315−15−15150000000000000000000000000000000000000000000000
χ908-8-88-40044-400-20022-2−43430025−2510000-11−555−5-133−3−3−151515−150000000000000000000000000000000000000000000000

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