Finite Group Databasebeta

← Group #14285065

Character table — Group #14285065

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444444444488888888888888888888881010101010101010101010102020202020202424404040404040404040404040484848486060606060606060120120
order122234466644510101012121212121215202020202020303030606060606060606060606060224444441212121266121212122488882424242424242424101020208888888824
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
χ911111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-11-1i−ii−iii−i−iii−i−i11-1-1ii−i−iii−i−i-11
χ1011111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-11-1−ii−ii−i−iii−i−iii11-1-1−i−iii−i−iii-11
χ1111111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-11i−ii−iii−i−iii−i−i-1-111−i−iii−i−iii1-1
χ1211111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-11−ii−ii−i−iii−i−iii-1-111ii−i−iii−i−i1-1
χ1311111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1111-11-1-1111-1-1-1-11111-1-111-1-1-1-1111-1
χ1411111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1111-1-111-1-1-11111-1-111-1-1-1-11111-1-11-1
χ1511111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-111-1-1111-1-1-1-111-1-111-1-11111-1-1-11
χ1611111-1-1111-11111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-11-111-1-1-11111-1-1-1-11111-1-1-1-111-11
χ172222222222-2-22222-2-222-2-2222-2-2-2-2222-2-2-2-22222-2-2-2-2222-2-2-2-22-2-2-2-222-2-2220000000000000000000000000000
χ182222222222-2-22222-2-222-2-2222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-22222-22222-2-222-2-20000000000000000000000000000
χ1922222-2-22222-22222-2-2-2-2222-2-222-2-2222-2-2-2-2-2-2-2-2222222-2-2-222-2222222-2-2-2-20000000000000000000000000000
χ2022222-2-22222-22222-2-2-2-2222-2-222-2-2222-2-2-2-2-2-2-2-22222-2-2222-2-22-2-2-2-2-2-222220000000000000000000000000000
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
χ252222-122-1-1-1-2-2222211-1-111-122-2-2-2-2-1-1-11111-1-1-1-11111222-2-2-2-221111-1-111-1-10000003−33−33−33−300000000000000
χ262222-122-1-1-1-2-2222211-1-111-122-2-2-2-2-1-1-11111-1-1-1-11111222-2-2-2-221111-1-111-1-1000000−33−33−33−3300000000000000
χ272222-122-1-1-1-2-2222211-1-111-122-2-2-2-2-1-1-11111-1-1-1-11111-2-2-22222-2-1-1-1-111-1-111000000−i3i3−i3i3i3−i3i3−i300000000000000
χ282222-122-1-1-1-2-2222211-1-111-122-2-2-2-2-1-1-11111-1-1-1-11111-2-2-22222-2-1-1-1-111-1-111000000i3−i3i3−i3−i3i3−i3i300000000000000
χ292222-1-2-2-1-1-12-222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2-222-2-1-1-1-1-1-11111000000−i3i3i3−i3−i3i3i3−i300000000000000
χ302222-1-2-2-1-1-12-222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2-222-2-1-1-1-1-1-11111000000i3−i3−i3i3i3−i3−i3i300000000000000
χ312222-1-2-2-1-1-12-222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-1-2-2222-2-22111111-1-1-1-10000003−3−33−333−300000000000000
χ322222-1-2-2-1-1-12-222221111-1-1-1-2-222-2-2-1-1-111111111-1-1-1-1-2-2222-2-22111111-1-1-1-1000000−333−33−3−3300000000000000
χ332222-1-2-2-1-1-1-222222-1-11111-1-2-2-2-222-1-1-1-1-1-1-11111111122-222-2-2-21111-1-1-1-111002i−2i2i−2i−i−iii−i−iii00000000000000
χ342222-1-2-2-1-1-1-222222-1-11111-1-2-2-2-222-1-1-1-1-1-1-11111111122-222-2-2-21111-1-1-1-11100−2i2i−2i2iii−i−iii−i−i00000000000000
χ352222-1-2-2-1-1-1-222222-1-11111-1-2-2-2-222-1-1-1-1-1-1-111111111-2-22-2-2222-1-1-1-11111-1-1002-2-22-1-11111-1-100000000000000
χ362222-1-2-2-1-1-1-222222-1-11111-1-2-2-2-222-1-1-1-1-1-1-111111111-2-22-2-2222-1-1-1-11111-1-100-222-211-1-1-1-11100000000000000
χ3722-2-222i−2i2-2-20022-2-2002i−2i0022i−2i00002-2-200002i2i−2i−2i00000002i−2i2-2022-2-2002i−2i000000000000000000002−2−i2i2−i2i22−200
χ3822-2-222i−2i2-2-20022-2-2002i−2i0022i−2i00002-2-200002i2i−2i−2i00000002i−2i2-2022-2-2002i−2i00000000000000000000−22i2−i2i2−i2−2200
χ3922-2-222i−2i2-2-20022-2-2002i−2i0022i−2i00002-2-200002i2i−2i−2i0000000−2i2i-220-2-22200−2i2i00000000000000000000−i2i2−222−2i2−i200
χ4022-2-222i−2i2-2-20022-2-2002i−2i0022i−2i00002-2-200002i2i−2i−2i0000000−2i2i-220-2-22200−2i2i00000000000000000000i2−i22−2−22−i2i200
χ4122-2-22−2i2i2-2-20022-2-200−2i2i002−2i2i00002-2-20000−2i−2i2i2i00000002i−2i-220-2-222002i−2i00000000000000000000−i2i22−2−22i2−i200
χ4222-2-22−2i2i2-2-20022-2-200−2i2i002−2i2i00002-2-20000−2i−2i2i2i00000002i−2i-220-2-222002i−2i00000000000000000000i2−i2−222−2−i2i200
χ4322-2-22−2i2i2-2-20022-2-200−2i2i002−2i2i00002-2-20000−2i−2i2i2i0000000−2i2i2-2022-2-200−2i2i000000000000000000002−2i2−i2i2−i22−200
χ4422-2-22−2i2i2-2-20022-2-200−2i2i002−2i2i00002-2-20000−2i−2i2i2i0000000−2i2i2-2022-2-200−2i2i00000000000000000000−22−i2i2−i2i2−2200
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
χ474444444444-4-4-1-1-1-1-4-444-4-4-1-1-11111-1-1-11111-1-1-1-1111100000000000000000000000000000000−55−550000000000
χ484444444444-4-4-1-1-1-1-4-444-4-4-1-1-11111-1-1-11111-1-1-1-11111000000000000000000000000000000005−55−50000000000
χ4944444-4-44444-4-1-1-1-1-4-4-4-444-111-1-111-1-1-111111111-1-1-1-100000000000000000000000000000000−555−50000000000
χ5044444-4-44444-4-1-1-1-1-4-4-4-444-111-1-111-1-1-111111111-1-1-1-1000000000000000000000000000000005−5−550000000000
χ5144444-4-4444-44-1-1-1-144-4-4-4-4-11111-1-1-1-1-1-1-1-1-1111111110000000000000000004-4000000000000-1-1110000000000
χ5244444-4-4444-44-1-1-1-144-4-4-4-4-11111-1-1-1-1-1-1-1-1-111111111000000000000000000-4400000000000011-1-10000000000
χ5344-4-4-24i−4i-2220044-4-400−2i2i00-24i−4i0000-2220000−2i−2i2i2i00000004i−4i4-40-2-22200−2i2i000000000000000000000000000000
χ5444-4-4-24i−4i-2220044-4-400−2i2i00-24i−4i0000-2220000−2i−2i2i2i0000000−4i4i-44022-2-2002i−2i000000000000000000000000000000
χ5544-4-4-2−4i4i-2220044-4-4002i−2i00-2−4i4i0000-22200002i2i−2i−2i00000004i−4i-44022-2-200−2i2i000000000000000000000000000000
χ5644-4-4-2−4i4i-2220044-4-4002i−2i00-2−4i4i0000-22200002i2i−2i−2i0000000−4i4i4-40-2-222002i−2i000000000000000000000000000000
χ574-44-4400-44-4004-44-40000004000000-44-40000000000000040000-4000000004-40000000000000000000000000000
χ584-44-4400-44-4004-44-40000004000000-44-400000000000000-40000400000000-440000000000000000000000000000
χ594-44-4-2002-22004-44-423−230000-20000002-222323−23−23000000000040000-423−2323−230000-220000000000000000000000000000
χ604-44-4-2002-22004-44-423−230000-20000002-222323−23−230000000000-400004−2323−232300002-20000000000000000000000000000
χ614-44-4-2002-22004-44-4−23230000-20000002-22−23−232323000000000040000-4−2323−23230000-220000000000000000000000000000
χ624-44-4-2002-22004-44-4−23230000-20000002-22−23−2323230000000000-40000423−2323−2300002-20000000000000000000000000000
χ634-4-44400-4-44004-4-440000004000000-4-440000000000004-400000000004-400000000000000000000000000000000
χ644-4-44400-4-44004-4-440000004000000-4-44000000000000-440000000000-4400000000000000000000000000000000
χ654-4-44-20022-2004-4-44000023−23-200000022-2000000002323−23−234-400000023−23−2323-2200000000000000000000000000000000
χ664-4-44-20022-2004-4-44000023−23-200000022-2000000002323−23−23-44000000−232323−232-200000000000000000000000000000000
χ674-4-44-20022-2004-4-440000−2323-200000022-200000000−23−2323234-4000000−232323−23-2200000000000000000000000000000000
χ684-4-44-20022-2004-4-440000−2323-200000022-200000000−23−232323-4400000023−23−23232-200000000000000000000000000000000
χ698888-488-4-4-488-2-2-2-2-4-4-4-4-4-41-2-2-2-2-2-21111111111111110000000000000000000000000000000000000000000000
χ708888-488-4-4-4-8-8-2-2-2-244-4-4441-2-22222111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ718888-4-8-8-4-4-48-8-2-2-2-24444-4-4122-2-222111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ728888-4-8-8-4-4-4-88-2-2-2-2-4-4444412222-2-21111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ7388-8-888i−8i8-8-800-2-222008i−8i00-2−2i2i0000-2220000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ7488-8-88−8i8i8-8-800-2-22200−8i8i00-22i−2i0000-22200002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ7588-8-8-48i−8i-44400-2-22200−4i4i001−2i2i00001-1-1−1515−1515ii−i−i−i15i15−i15i150000000000000000000000000000000000000000000000
χ7688-8-8-48i−8i-44400-2-22200−4i4i001−2i2i00001-1-115−1515−15ii−i−ii15−i15i15−i150000000000000000000000000000000000000000000000
χ7788-8-8-4−8i8i-44400-2-222004i−4i0012i−2i00001-1-1−1515−1515−i−iiii15−i15i15−i150000000000000000000000000000000000000000000000
χ7888-8-8-4−8i8i-44400-2-222004i−4i0012i−2i00001-1-115−1515−15−i−iii−i15i15−i15i150000000000000000000000000000000000000000000000
χ798-88-8800-88-800-22-22000000-200−2i52i5002-2200000000−2i52i52i5−2i50000000000000000000000000000000000000000000000
χ808-88-8800-88-800-22-22000000-2002i5−2i5002-22000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000
χ818-88-8-4004-4400-22-2243−430000100−2i52i500-11-1−3−333−i15i15−i15i15i5−i5−i5i50000000000000000000000000000000000000000000000
χ828-88-8-4004-4400-22-2243−4300001002i5−2i500-11-1−3−333i15−i15i15−i15−i5i5i5−i50000000000000000000000000000000000000000000000
χ838-88-8-4004-4400-22-22−43430000100−2i52i500-11-133−3−3i15−i15i15−i15i5−i5−i5i50000000000000000000000000000000000000000000000
χ848-88-8-4004-4400-22-22−434300001002i5−2i500-11-133−3−3−i15i15−i15i15−i5i5i5−i50000000000000000000000000000000000000000000000
χ858-8-88800-8-8800-222-2000000-20000−252522-2−252525−25000000000000000000000000000000000000000000000000000000
χ868-8-88800-8-8800-222-2000000-2000025−2522-225−25−2525000000000000000000000000000000000000000000000000000000
χ878-8-88-40044-400-222-2000043−4310000−2525-1-115−5−5515−15−1515−3−3330000000000000000000000000000000000000000000000
χ888-8-88-40044-400-222-2000043−431000025−25-1-11−555−5−151515−15−3−3330000000000000000000000000000000000000000000000
χ898-8-88-40044-400-222-20000−434310000−2525-1-115−5−55−151515−1533−3−30000000000000000000000000000000000000000000000
χ908-8-88-40044-400-222-20000−43431000025−25-1-11−555−515−15−151533−3−30000000000000000000000000000000000000000000000

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