Finite Group Databasebeta

← Group #14301745

Character table — Group #14301745

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222444444444444455888888101010101012121616161616161616202020202020202020202020202020202020202020202020202020202020202020242424242448486060120120120120120
order122223624566666101010121244101015303030444121222102030303030606024668888888812121212122424242424242424242424242424242441010101020204448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1111111-1-1-1-1-11111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111-1-1-1ii−i−i
χ611111111111111111111-1-1111111-1-1-1-1-11111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111-1-1-1−i−iii
χ711111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1111−i−iii
χ811111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1111ii−i−i
χ91111111-1-11111-1-1111-1-1111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111-1-11111-1-1-1-11111-1-1-1-1-11111-1-111-11-11-1
χ101111111-1-11111-1-1111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-11111-11111-1-111-1-11-11
χ111111111-1-11111-1-1111-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1-1-111-1-11-11-11
χ121111111-1-11111-1-1111-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-111-11-1
χ131111111-1-11111-1-1111-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-11111ii−i−i−i−iii-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11111-1-1-1-11i−i−ii
χ141111111-1-11111-1-1111-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-11111−i−iiiii−i−i-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11111-1-1-1-11−iii−i
χ151111111-1-11111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-1-1-11111-1−iii−i
χ161111111-1-11111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1-11111-1i−i−ii
χ1722222-1-1222-1-1-1-1-1222-1-12222-1-1-1-1222-1-10022-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222-1-1222-1-1-1-1-1222-1-12222-1-1-1-1222-1-10022-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1111111111111111100000000000000
χ1922222-1-1222-1-1-1-1-1222-1-1-2-222-1-1-1-1-2-2-2110022-1-1-1-1-1-1-2-2112i2i2i2i−2i−2i−2i−2i11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ2022222-1-1222-1-1-1-1-1222-1-1-2-222-1-1-1-1-2-2-2110022-1-1-1-1-1-1-2-211−2i−2i−2i−2i2i2i2i2i11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ2122222-1-1-2-22-1-1-111222112222-1-1-1-1222-1-100-2-2-1-11111-2-21122-2-222-2-2-1-1-111-1-1-1-11111-1-1-1-1111100000000000000
χ2222222-1-1-2-22-1-1-111222112222-1-1-1-1222-1-100-2-2-1-11111-2-211-2-222-2-222-1-1-1111111-1-1-1-11111-1-1-1-100000000000000
χ2322222-1-1-2-22-1-1-11122211-2-222-1-1-1-1-2-2-21100-2-2-1-1111122-1-12i2i−2i−2i−2i−2i2i2i111-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000
χ2422222-1-1-2-22-1-1-11122211-2-222-1-1-1-1-2-2-21100-2-2-1-1111122-1-1−2i−2i2i2i2i2i−2i−2i111-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000
χ25222-2-2220022-2-2002-2-200222-22-2-22-22-22200002-200000000002-2002-22-2-200000022-2-2000022-2-200000000000000
χ26222-2-2220022-2-2002-2-200222-22-2-22-22-22200002-20000000000-2200-222-2-2000000-2-2220000-2-22200000000000000
χ27222-2-2220022-2-2002-2-200-2-22-22-2-222-22-2-200002-200000000002i−2i00−2i2i-2220000002i2i−2i−2i0000−2i−2i2i2i00000000000000
χ28222-2-2220022-2-2002-2-200-2-22-22-2-222-22-2-200002-20000000000−2i2i002i−2i-222000000−2i−2i2i2i00002i2i−2i−2i00000000000000
χ29222-2-2-1-1002-111−i3i32-2-2−i3i3222-2-111-1-22-2-1-10000-11−i3i3−i3i300−i3i3002-2002-2-111−i3i3−i3−i3i3i3-1-111−i3−i3i3i3-1-11100000000000000
χ30222-2-2-1-1002-111−i3i32-2-2−i3i3222-2-111-1-22-2-1-10000-11−i3i3−i3i300−i3i300-2200-22-111−i3i3i3i3−i3−i311-1-1i3i3−i3−i311-1-100000000000000
χ31222-2-2-1-1002-111−i3i32-2-2−i3i3-2-22-2-111-12-22110000-11−i3i3−i3i300i3−i3002i−2i00−2i2i1-1-1i3−i333−3−3−i−iii−3−333ii−i−i00000000000000
χ32222-2-2-1-1002-111−i3i32-2-2−i3i3-2-22-2-111-12-22110000-11−i3i3−i3i300i3−i300−2i2i002i−2i1-1-1i3−i3−3−333ii−i−i33−3−3−i−iii00000000000000
χ33222-2-2-1-1002-111i3−i32-2-2i3−i3222-2-111-1-22-2-1-10000-11i3−i3i3−i300i3−i3002-2002-2-111i3−i3i3i3−i3−i3-1-111i3i3−i3−i3-1-11100000000000000
χ34222-2-2-1-1002-111i3−i32-2-2i3−i3222-2-111-1-22-2-1-10000-11i3−i3i3−i300i3−i300-2200-22-111i3−i3−i3−i3i3i311-1-1−i3−i3i3i311-1-100000000000000
χ35222-2-2-1-1002-111i3−i32-2-2i3−i3-2-22-2-111-12-22110000-11i3−i3i3−i300−i3i3002i−2i00−2i2i1-1-1−i3i3−3−333−i−iii33−3−3ii−i−i00000000000000
χ36222-2-2-1-1002-111i3−i32-2-2i3−i3-2-22-2-111-12-22110000-11i3−i3i3−i300−i3i300−2i2i002i−2i1-1-1−i3i333−3−3ii−i−i−3−333−i−iii00000000000000
χ3722-22-222002-22-2002-2-20022-222-2-22-2-22220000-22000000002-2002-200-22-2002-22-200002-22-2000000000000000000
χ3822-22-222002-22-2002-2-20022-222-2-22-2-22220000-2200000000-2200-2200-22-200-22-220000-22-22000000000000000000
χ3922-22-222002-22-2002-2-200-2-2-222-2-2222-2-2-20000-22000000002i−2i00−2i2i002-22002i−2i2i−2i0000−2i2i−2i2i000000000000000000
χ4022-22-222002-22-2002-2-200-2-2-222-2-2222-2-2-20000-2200000000−2i2i002i−2i002-2200−2i2i−2i2i00002i−2i2i−2i000000000000000000
χ4122-22-2-1-10021-11−i3i32-2-2i3−i322-22-111-1-2-22-1-100001-1−i3i3i3−i300i3−i32-2002-2001-11−i3i3-11-11−i3i3−i3i3-11-11−i3i3−i3i300000000000000
χ4222-22-2-1-10021-11−i3i32-2-2i3−i322-22-111-1-2-22-1-100001-1−i3i3i3−i300i3−i3-2200-22001-11−i3i31-11-1i3−i3i3−i31-11-1i3−i3i3−i300000000000000
χ4322-22-2-1-10021-11−i3i32-2-2i3−i3-2-2-22-111-122-21100001-1−i3i3i3−i300−i3i32i−2i00−2i2i00-11-1i3−i3−ii−ii3−33−3i−ii−i−33−3300000000000000
χ4422-22-2-1-10021-11−i3i32-2-2i3−i3-2-2-22-111-122-21100001-1−i3i3i3−i300−i3i3−2i2i002i−2i00-11-1i3−i3i−ii−i−33−33−ii−ii3−33−300000000000000
χ4522-22-2-1-10021-11i3−i32-2-2−i3i322-22-111-1-2-22-1-100001-1i3−i3−i3i300−i3i32-2002-2001-11i3−i3-11-11i3−i3i3−i3-11-11i3−i3i3−i300000000000000
χ4622-22-2-1-10021-11i3−i32-2-2−i3i322-22-111-1-2-22-1-100001-1i3−i3−i3i300−i3i3-2200-22001-11i3−i31-11-1−i3i3−i3i31-11-1−i3i3−i3i300000000000000
χ4722-22-2-1-10021-11i3−i32-2-2−i3i3-2-2-22-111-122-21100001-1i3−i3−i3i300i3−i32i−2i00−2i2i00-11-1−i3i3−ii−ii−33−33i−ii−i3−33−300000000000000
χ4822-22-2-1-10021-11i3−i32-2-2−i3i3-2-2-22-111-122-21100001-1i3−i3−i3i300i3−i3−2i2i002i−2i00-11-1−i3i3i−ii−i3−33−3−ii−ii−33−3300000000000000
χ4922-2-22222-22-2-2222222-2-222-2-222222-2-222002-2-2-222-2-2-22-2-200000000-2-2222000000000000000000000000000000
χ5022-2-22222-22-2-2222222-2-2-2-2-2-22222-222-2-2002-2-2-222-2-22-2220000000022-2-2-2000000000000000000000000000000
χ5122-2-2222-222-2-22-2-22222222-2-222222-2-22200-22-2-2-2-2222-22200000000-2-22-2-2000000000000000000000000000000
χ5222-2-2222-222-2-22-2-222222-2-2-2-22222-222-2-200-22-2-2-2-222-22-2-20000000022-222000000000000000000000000000000
χ5322-2-22-1-12-2211-1-1-12221122-2-2-1-1-1-12-2-2-1-1002-211-1-111-22110000000011-1-1-1−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000
χ5422-2-22-1-12-2211-1-1-12221122-2-2-1-1-1-12-2-2-1-1002-211-1-111-22110000000011-1-1-1i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000
χ5522-2-22-1-12-2211-1-1-122211-2-2-2-2-1-1-1-1-22211002-211-1-1112-2-1-100000000-1-11113−3−333−3−33−333−3−333−300000000000000
χ5622-2-22-1-12-2211-1-1-122211-2-2-2-2-1-1-1-1-22211002-211-1-1112-2-1-100000000-1-1111−333−3−333−33−3−333−3−3300000000000000
χ5722-2-22-1-1-22211-111222-1-122-2-2-1-1-1-12-2-2-1-100-221111-1-12-2-1-10000000011-111−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000000000
χ5822-2-22-1-1-22211-111222-1-122-2-2-1-1-1-12-2-2-1-100-221111-1-12-2-1-10000000011-111i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000000000
χ5922-2-22-1-1-22211-111222-1-1-2-2-2-2-1-1-1-1-2221100-221111-1-1-221100000000-1-11-1-13−3−33−333−3−333−33−3−3300000000000000
χ6022-2-22-1-1-22211-111222-1-1-2-2-2-2-1-1-1-1-2221100-221111-1-1-221100000000-1-11-1-1−333−33−3−333−3−33−333−300000000000000
χ61444444444-144444-1-1-14400-1-1-1-1-1-10000044-1-1-1-1-1-1-1-10000000000000000000000000000000004-1-1-1-1-1-10000000
χ62444444444-144444-1-1-14400-1-1-1-1-1-100000-4-4-1-1-1-1-1-1-1-1000000000000000000000000000000000-41111110000000
χ634444444-4-4-1444-4-4-1-1-1-4-400-1-1-1-1-1-1000004411-1-11111000000000000000000000000000000000-4-1-1-1-1110000000
χ644444444-4-4-1444-4-4-1-1-1-4-400-1-1-1-1-1-100000-4-411-1-1111100000000000000000000000000000000041111-1-10000000
χ6544-4-44444-4-1-4-4444-1-1-1-4-40011-1-1-1-10000000-1111-1-1110000000000000000000000000000000000−5−555−550000000
χ6644-4-44444-4-1-4-4444-1-1-1-4-40011-1-1-1-10000000-1111-1-111000000000000000000000000000000000055−5−55−50000000
χ6744-4-4444-44-1-4-44-4-4-1-1-1440011-1-1-1-100000001-11111-1-10000000000000000000000000000000000−5−5555−50000000
χ6844-4-4444-44-1-4-44-4-4-1-1-1440011-1-1-1-100000001-11111-1-1000000000000000000000000000000000055−5−5−550000000
χ694-40004-400400000-400004i−4i00400-40004i−4i2-20000000000000000000000000000000000000000002-22-2002i−2i00000
χ704-40004-400400000-400004i−4i00400-40004i−4i-22000000000000000000000000000000000000000000-22-2200−2i2i00000
χ714-40004-400400000-40000−4i4i00400-4000−4i4i2-20000000000000000000000000000000000000000002-22-200−2i2i00000
χ724-40004-400400000-40000−4i4i00400-4000−4i4i-22000000000000000000000000000000000000000000-22-22002i−2i00000
χ7388888-4-488-2-4-4-4-4-4-2-2-2-4-400-2-211110000000-2-211111100000000000000000000000000000000000000000000000
χ7488888-4-4-8-8-2-4-4-444-2-2-24400-2-2111100000002211-1-1-1-100000000000000000000000000000000000000000000000
χ75888-8-88800-28-8-800-2220000-22-222-2000000000-22000000000000000000000000000000000000000000000000000
χ76888-8-8-4-400-2-444−4i34i3-222−4i34i300-221-1-110000000001-1i3−i3i3−i300000000000000000000000000000000000000000000000
χ77888-8-8-4-400-2-4444i3−4i3-2224i3−4i300-221-1-110000000001-1−i3i3−i3i300000000000000000000000000000000000000000000000
χ7888-88-88800-2-88-800-22200002-2-222-20000000002-2000000000000000000000000000000000000000000000000000
χ7988-88-8-4-400-24-44−4i34i3-2224i3−4i3002-21-1-11000000000-11i3−i3−i3i300000000000000000000000000000000000000000000000
χ8088-88-8-4-400-24-444i3−4i3-222−4i34i3002-21-1-11000000000-11−i3i3i3−i300000000000000000000000000000000000000000000000
χ8188-8-88-4-48-8-244-4-4-4-2-2-244002211110000000-22-1-111-1-100000000000000000000000000000000000000000000000
χ8288-8-88-4-4-88-244-444-2-2-2-4-40022111100000002-2-1-1-1-11100000000000000000000000000000000000000000000000
χ838-80008-800-2000002−2525000000-2−25252000004-4000000000000000000000000000000000000000000−1−51+5−1+51−5000000000
χ848-80008-800-2000002−2525000000-2−2525200000-440000000000000000000000000000000000000000001+5−1−51−5−1+5000000000
χ858-80008-800-200000225−25000000-225−252000004-4000000000000000000000000000000000000000000−1+51−5−1−51+5000000000
χ868-80008-800-200000225−25000000-225−25200000-440000000000000000000000000000000000000000001−5−1+51+5−1−5000000000
χ878-8000-4400800000-800008i−8i00-4004000−4i4i000000000000000000000000000000000000000000000000000000000
χ888-8000-4400800000-80000−8i8i00-40040004i−4i000000000000000000000000000000000000000000000000000000000
χ8916-16000-8800-4000004−4545000000225−25-200000000000000000000000000000000000000000000000000000000000000
χ9016-16000-8800-400000445−450000002−2525-200000000000000000000000000000000000000000000000000000000000000

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