Finite Group Databasebeta

← Group #14284325

Character table — Group #14284325

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444444444488888888888888888888881010101010101010101010102020202020202424404040404040404040404040484848486060606060606060120120
order122222366644566101010121212121010152020202030303030303030606060606060606044444444121212121212121212122488882424242424242424101020208888888844
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
χ91111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1i−ii−iii−i−iii−i−i11-1-1ii−i−iii−i−i-11
χ101111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1−ii−ii−i−iii−i−iii11-1-1−i−iii−i−iii-11
χ111111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11i−ii−iii−i−iii−i−i-1-111−i−iii−i−iii1-1
χ121111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11−ii−ii−i−iii−i−iii-1-111ii−i−iii−i−i1-1
χ131111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1-1111-1-1-1-11111-1-111-1-1-1-1111-1
χ141111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111-1-1-11111-1-111-1-1-1-11111-1-11-1
χ151111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1111-1-1-1-111-1-111-1-11111-1-1-11
χ161111-1-111111-11-1-111111-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111-1-1-11111-1-1-1-11111-1-1-1-111-11
χ172222222222-2-2222222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ182222222222-2-2222222-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-20000000000000000000000000000
χ19222222-1-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-100000000000000
χ20222222-1-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100-2-2-2-21111111100000000000000
χ21222222-1-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111002i2i−2i−2i−i−i−i−iiiii00000000000000
χ22222222-1-1-1-1222-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111100−2i−2i2i2iiiii−i−i−i−i00000000000000
χ23222222-1-1-1-1-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-111-1-10000003−33−33−33−300000000000000
χ24222222-1-1-1-1-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-111-1-1000000−33−33−33−3300000000000000
χ25222222-1-1-1-1-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-111-1-111000000−i3i3−i3i3i3−i3i3−i300000000000000
χ26222222-1-1-1-1-2-22-1-1222111122-1-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-111-1-111000000i3−i3i3−i3−i3i3−i3i300000000000000
χ272222-2-22222-222-2-2222-2-222-2-22-2-22222-2-2-2-22-2-2-2-2222222-2-222-2-2222222-2-2-2-20000000000000000000000000000
χ282222-2-22222-222-2-2222-2-222-2-22-2-22222-2-2-2-22-2-2-2-22222-2-222-2-222-2-2-2-2-2-222220000000000000000000000000000
χ292222-2-2-1-1-1-12-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-111112222-2-2-2-21111-1-1-1-111002i−2i2i−2i−i−iii−i−iii00000000000000
χ302222-2-2-1-1-1-12-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-111112222-2-2-2-21111-1-1-1-11100−2i2i−2i2iii−i−iii−i−i00000000000000
χ312222-2-2-1-1-1-12-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-22222-1-1-1-11111-1-1002-2-22-1-11111-1-100000000000000
χ322222-2-2-1-1-1-12-2211222-1-111-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2-2-22222-1-1-1-11111-1-100-222-211-1-1-1-11100000000000000
χ332222-2-2-1-1-1-1-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-122-2-222-2-2-1-1-1-1-1-11111000000−i3i3i3−i3−i3i3i3−i300000000000000
χ342222-2-2-1-1-1-1-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-122-2-222-2-2-1-1-1-1-1-11111000000i3−i3−i3i3i3−i3−i3i300000000000000
χ352222-2-2-1-1-1-1-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1-2-222-2-222111111-1-1-1-10000003−3−33−333−300000000000000
χ362222-2-2-1-1-1-1-2221122211-1-1-2-2-1-2-222-1-11111-11111-1-1-1-1-2-222-2-222111111-1-1-1-1000000−333−33−3−3300000000000000
χ3722-2-22-22-22-20022-2-2-2200002-2200002-222-2-2-200000000002i−2i2i−2i002i2i−2i−2i002i−2i000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00
χ3822-2-22-22-22-20022-2-2-2200002-2200002-222-2-2-200000000002i−2i2i−2i002i2i−2i−2i002i−2i00000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00
χ3922-2-22-22-22-20022-2-2-2200002-2200002-222-2-2-20000000000−2i2i−2i2i00−2i−2i2i2i00−2i2i000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00
χ4022-2-22-22-22-20022-2-2-2200002-2200002-222-2-2-20000000000−2i2i−2i2i00−2i−2i2i2i00−2i2i00000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00
χ4122-2-2-222-22-2002-22-2-220000-22200002-2-2-222-200000000002i−2i−2i2i00−2i−2i2i2i002i−2i000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00
χ4222-2-2-222-22-2002-22-2-220000-22200002-2-2-222-200000000002i−2i−2i2i00−2i−2i2i2i002i−2i00000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00
χ4322-2-2-222-22-2002-22-2-220000-22200002-2-2-222-20000000000−2i2i2i−2i002i2i−2i−2i00−2i2i000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00
χ4422-2-2-222-22-2002-22-2-220000-22200002-2-2-222-20000000000−2i2i2i−2i002i2i−2i−2i00−2i2i00000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00
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
χ474444444444-4-4-144-1-1-1-4-4-4-4-1-1-11111-1-1-1-1-1-1-11111111100000000000000000000000000000000−55−550000000000
χ484444444444-4-4-144-1-1-1-4-4-4-4-1-1-11111-1-1-1-1-1-1-111111111000000000000000000000000000000005−55−50000000000
χ494444-4-444444-4-1-4-4-1-1-144-4-411-1-1-111-1-11111-1-1-1-1-111110000000000000000004-4000000000000-1-1110000000000
χ504444-4-444444-4-1-4-4-1-1-144-4-411-1-1-111-1-11111-1-1-1-1-11111000000000000000000-4400000000000011-1-10000000000
χ514444-4-44444-44-1-4-4-1-1-1-4-44411-111-1-1-1-11111-11111-1-1-1-100000000000000000000000000000000−555−50000000000
χ524444-4-44444-44-1-4-4-1-1-1-4-44411-111-1-1-1-11111-11111-1-1-1-1000000000000000000000000000000005−5−550000000000
χ5344-4-44-4-22-22004-22-4-4400004-4-20000-22-2-222200000000004i−4i4i−4i00−2i−2i2i2i00−2i2i000000000000000000000000000000
χ5444-4-44-4-22-22004-22-4-4400004-4-20000-22-2-22220000000000−4i4i−4i4i002i2i−2i−2i002i−2i000000000000000000000000000000
χ5544-4-4-44-22-220042-2-4-440000-44-20000-2222-2-2200000000004i−4i−4i4i002i2i−2i−2i00−2i2i000000000000000000000000000000
χ5644-4-4-44-22-220042-2-4-440000-44-20000-2222-2-220000000000−4i4i4i−4i00−2i−2i2i2i002i−2i000000000000000000000000000000
χ574-44-40044-4-400400-44-400000040000-4-400004000000004i−4i00000000004i−4i00000000000000000000000000000000
χ584-44-40044-4-400400-44-400000040000-4-40000400000000−4i4i0000000000−4i4i00000000000000000000000000000000
χ594-44-400-2-22200400-44-400−2i32i300-20000220000-20000−2i3−2i32i32i34i−4i00000023−2323−23−2i2i00000000000000000000000000000000
χ604-44-400-2-22200400-44-400−2i32i300-20000220000-20000−2i3−2i32i32i3−4i4i000000−2323−23232i−2i00000000000000000000000000000000
χ614-44-400-2-22200400-44-4002i3−2i300-20000220000-200002i32i3−2i3−2i34i−4i000000−2323−2323−2i2i00000000000000000000000000000000
χ624-44-400-2-22200400-44-4002i3−2i300-20000220000-200002i32i3−2i3−2i3−4i4i00000023−2323−232i−2i00000000000000000000000000000000
χ634-4-44004-4-44004004-4-400000040000-440000-4000000000000004i−4i000000004i−4i0000000000000000000000000000
χ644-4-44004-4-44004004-4-400000040000-440000-400000000000000−4i4i00000000−4i4i0000000000000000000000000000
χ654-4-4400-222-2004004-4-423−230000-200002-2000022323−23−2300000000004i−4i−2i32i32i3−2i30000−2i2i0000000000000000000000000000
χ664-4-4400-222-2004004-4-423−230000-200002-2000022323−23−230000000000−4i4i2i3−2i3−2i32i300002i−2i0000000000000000000000000000
χ674-4-4400-222-2004004-4-4−23230000-200002-200002−23−23232300000000004i−4i2i3−2i3−2i32i30000−2i2i0000000000000000000000000000
χ684-4-4400-222-2004004-4-4−23230000-200002-200002−23−2323230000000000−4i4i−2i32i32i3−2i300002i−2i0000000000000000000000000000
χ69888888-4-4-4-488-2-4-4-2-2-2-4-4-4-4-2-21-2-2-2-21111111111111110000000000000000000000000000000000000000000000
χ70888888-4-4-4-4-8-8-2-4-4-2-2-24444-2-2122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ718888-8-8-4-4-4-48-8-244-2-2-2-4-444221-2-22211-1-1-1-111111-1-1-1-10000000000000000000000000000000000000000000000
χ728888-8-8-4-4-4-4-88-244-2-2-244-4-422122-2-211-1-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000
χ7388-8-88-88-88-800-28-822-20000-22-20000-22-2-2222000000000000000000000000000000000000000000000000000000
χ7488-8-88-8-44-4400-2-4422-20000-22100001-111-1-1-1−1515−1515−1515−15150000000000000000000000000000000000000000000000
χ7588-8-88-8-44-4400-2-4422-20000-22100001-111-1-1-115−1515−1515−1515−150000000000000000000000000000000000000000000000
χ7688-8-8-888-88-800-2-8822-200002-2-20000-2222-2-22000000000000000000000000000000000000000000000000000000
χ7788-8-8-88-44-4400-24-422-200002-2100001-1-1-111-1−1515−151515−1515−150000000000000000000000000000000000000000000000
χ7888-8-8-88-44-4400-24-422-200002-2100001-1-1-111-115−1515−15−1515−15150000000000000000000000000000000000000000000000
χ798-88-80088-8-800-2002-22000000-2−252500220000-2−252525−2500000000000000000000000000000000000000000000000000
χ808-88-80088-8-800-2002-22000000-225−2500220000-225−25−252500000000000000000000000000000000000000000000000000
χ818-88-800-4-44400-2002-2200−4i34i3001−252500-1-1−i15i15−i15i1515−5−55i3i3−i3−i30000000000000000000000000000000000000000000000
χ828-88-800-4-44400-2002-2200−4i34i300125−2500-1-1i15−i15i15−i151−555−5i3i3−i3−i30000000000000000000000000000000000000000000000
χ838-88-800-4-44400-2002-22004i3−4i3001−252500-1-1i15−i15i15−i1515−5−55−i3−i3i3i30000000000000000000000000000000000000000000000
χ848-88-800-4-44400-2002-22004i3−4i300125−2500-1-1−i15i15−i15i151−555−5−i3−i3i3i30000000000000000000000000000000000000000000000
χ858-8-88008-8-8800-200-222000000-200−2i52i52-2000020000−2i52i52i5−2i50000000000000000000000000000000000000000000000
χ868-8-88008-8-8800-200-222000000-2002i5−2i52-20000200002i5−2i5−2i52i50000000000000000000000000000000000000000000000
χ878-8-8800-444-400-200-22243−430000100−2i52i5-11−i15i15i15−i15-1−3−333i5−i5−i5i50000000000000000000000000000000000000000000000
χ888-8-8800-444-400-200-22243−4300001002i5−2i5-11i15−i15−i15i15-1−3−333−i5i5i5−i50000000000000000000000000000000000000000000000
χ898-8-8800-444-400-200-222−43430000100−2i52i5-11i15−i15−i15i15-133−3−3i5−i5−i5i50000000000000000000000000000000000000000000000
χ908-8-8800-444-400-200-222−434300001002i5−2i5-11−i15i15i15−i15-133−3−3−i5i5i5−i50000000000000000000000000000000000000000000000

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