Finite Group Databasebeta

← Group #14297263

Character table — Group #14297263

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222244444445588888888888881010101010121212121616161616162020202020242424242424242440404040404040404040404040406060606060606060120120
order122344644561012122210121215202020202020303030244662244606060606060446121210101010202020208888121224242424242424242244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-11111111111111-1-1-1-1-11111111111-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−ii−i
χ611111111111111-1-11111111111111-1-1-1-1-11111111111-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii−ii
χ711111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii−ii
χ811111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−ii−i
χ91111111-1-111111111-1-1111-1-1-1-1111111111-11-111-1-1-1-1-1-111111-1-111-1-11-11-1-1-111-1-111-1-11-11-11111-1-1
χ101111111-1-111111111-1-1111-1-1-1-1111111111-11-111-1-1-1-1-1-111111-1-111-1-1-11-11-1-1-1-111-1-1111-11-1-1-1-1-111
χ111111111-1-111111111-1-1111-1-1-1-111111111-11-1111-1-1-1-1-1-1111-1-111-1-1111-11-1-1-111-1-111-1-1-11-11-1-1-1-111
χ121111111-1-111111111-1-1111-1-1-1-111111111-11-1111-1-1-1-1-1-1111-1-111-1-111-11-11-1-1-1-111-1-111-11-111111-1-1
χ131111111-1-111111-1-11-1-1111-1-1-1-1111-1-1-1-1-11-11-111-1-1-1-111-1-1-111-1-111-1-1i−i−ii11ii−i−i−i−iii-11-11ii−i−i−ii
χ141111111-1-111111-1-11-1-1111-1-1-1-1111-1-1-1-1-11-11-111-1-1-1-111-1-1-111-1-111-1-1−iii−i11−i−iiiii−i−i-11-11−i−iiii−i
χ151111111-1-111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-111-1-111i−i−ii11ii−i−i−i−iii1-11-1−i−iiii−i
χ161111111-1-111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-111-1-111−iii−i11−i−iiiii−i−i1-11-1ii−i−i−ii
χ172222-2-222-2222-2-22222-22-2-222-2-22222-2-2220000-2-222-2-22-22-2-20000000000002-2000000000000000000
χ182222-2-222-2222-2-2-2-222-22-2-222-2-2222-222-2-20000-2-222-2-2-22-222000000000000-22000000000000000000
χ192222-2-22-22222-2-2222-222-2-2-2-2222222-2-2220000-2-2-2-222-222-2-2000000000000-22000000000000000000
χ202222-2-22-22222-2-2-2-22-222-2-2-2-222222-222-2-20000-2-2-2-2222-2-2220000000000002-2000000000000000000
χ21222-122-1222-12-1-1222-1-1-1222222-1-1-1222-1-10000-1-1-1-1-1-122-1-1-1000000002222-1-1-1-1-1-1-1-1-1-10000000000
χ22222-122-1222-12-1-1222-1-1-1222222-1-1-1222-1-10000-1-1-1-1-1-122-1-1-100000000-2-2-2-2-1-1111111110000000000
χ23222-122-1222-12-1-1-2-22-1-1-1222222-1-1-1-2-2-2110000-1-1-1-1-1-1-2-2111000000002i2i−2i−2i11−i−i−i−iiiii0000000000
χ24222-122-1222-12-1-1-2-22-1-1-1222222-1-1-1-2-2-2110000-1-1-1-1-1-1-2-211100000000−2i−2i2i2i11iiii−i−i−i−i0000000000
χ25222-122-1-2-22-12-1-122211-122-2-2-2-2-1-1-1222-1-10000-1-11111-2-2-1-1-1000000002-22-211-1-111-1-1110000000000
χ26222-122-1-2-22-12-1-122211-122-2-2-2-2-1-1-1222-1-10000-1-11111-2-2-1-1-100000000-22-221111-1-111-1-10000000000
χ27222-122-1-2-22-12-1-1-2-2211-122-2-2-2-2-1-1-1-2-2-2110000-1-1111122111000000002i−2i−2i2i-1-1−i−iiiii−i−i0000000000
χ28222-122-1-2-22-12-1-1-2-2211-122-2-2-2-2-1-1-1-2-2-2110000-1-111112211100000000−2i2i2i−2i-1-1ii−i−i−i−iii0000000000
χ29222-1-2-2-12-22-1211222-11-1-2-222-2-2-1-1-12-2-2-1-1000011-1-1112-2-111000000000000-113−33−33−33−30000000000
χ30222-1-2-2-12-22-1211222-11-1-2-222-2-2-1-1-12-2-2-1-1000011-1-1112-2-111000000000000-11−33−33−33−330000000000
χ31222-1-2-2-12-22-1211-2-22-11-1-2-222-2-2-1-1-1-22211000011-1-111-221-1-10000000000001-1−i3i3−i3i3i3−i3i3−i30000000000
χ32222-1-2-2-12-22-1211-2-22-11-1-2-222-2-2-1-1-1-22211000011-1-111-221-1-10000000000001-1i3−i3i3−i3−i3i3−i3i30000000000
χ33222-1-2-2-1-222-12112221-1-1-2-2-2-222-1-1-12-2-2-1-100001111-1-1-22-1110000000000001-13−3−333−3−330000000000
χ34222-1-2-2-1-222-12112221-1-1-2-2-2-222-1-1-12-2-2-1-100001111-1-1-22-1110000000000001-1−333−3−333−30000000000
χ35222-1-2-2-1-222-1211-2-221-1-1-2-2-2-222-1-1-1-2221100001111-1-12-21-1-1000000000000-11−i3i3i3−i3i3−i3−i3i30000000000
χ36222-1-2-2-1-222-1211-2-221-1-1-2-2-2-222-1-1-1-2221100001111-1-12-21-1-1000000000000-11i3−i3−i3i3−i3i3i3−i30000000000
χ3722-222-22002-222-222-20022-20000-2-22-22-222020-22-2000000-22-2002200-2-200000000000000020-2000000
χ3822-222-22002-222-222-20022-20000-2-22-22-2220-2022-2000000-22-200-2-20022000000000000000-202000000
χ3922-222-22002-222-2-2-2-20022-20000-2-222-22-2-2020-22-20000002-22002200-2-2000000000000000-202000000
χ4022-222-22002-222-2-2-2-20022-20000-2-222-22-2-20-2022-20000002-2200-2-2002200000000000000020-2000000
χ4122-22-222002-22-2222-2002-220000-2-22-2-222220-20-22000000-2-222200-2-2000000000000000020-20000000
χ4222-22-222002-22-2222-2002-220000-2-22-2-2222-2020-22000000-2-22-2-200220000000000000000-2020000000
χ4322-22-222002-22-22-2-2-2002-220000-2-2222-2-2-220-20-2200000022-22200-2-20000000000000000-2020000000
χ4422-22-222002-22-22-2-2-2002-220000-2-2222-2-2-2-2020-2200000022-2-2-20022000000000000000020-20000000
χ45444444444-14-14400-144-1-1-1-1-1-1-1-1-1-1000004444-1-1-1-1-1-100000-1-1-1-1-1-1-1-1000000000000000000000000
χ46444444444-14-14400-144-1-1-1-1-1-1-1-1-1-100000-4-4-4-4-1-1-1-1-1-10000011111111000000000000000000000000
χ474444444-4-4-14-14400-1-4-4-1-1-11111-1-1-1000004-44-4-1-1111100000-1-111-1-111000000000000000000000000
χ484444444-4-4-14-14400-1-4-4-1-1-11111-1-1-100000-44-44-1-111110000011-1-111-1-1000000000000000000000000
χ494444-4-444-4-14-1-4-400-14-4-111-1-111-1-1-100000000011-1-11100000−55−55−55−55000000000000000000000000
χ504444-4-444-4-14-1-4-400-14-4-111-1-111-1-1-100000000011-1-111000005−55−55−55−5000000000000000000000000
χ514444-4-44-44-14-1-4-400-1-44-11111-1-1-1-1-10000000001111-1-100000−555−5−555−5000000000000000000000000
χ524444-4-44-44-14-1-4-400-1-44-11111-1-1-1-1-10000000001111-1-1000005−5−555−5−55000000000000000000000000
χ5344-444-4400-1-4-14-400100-1-11−55−5511-100000040-4-11−55−5500000−55-1-15−511000000000000000000000000
χ5444-444-4400-1-4-14-400100-1-11−55−5511-1000000-404-11−55−55000005−511−55-1-1000000000000000000000000
χ5544-444-4400-1-4-14-400100-1-115−55−511-100000040-4-115−55−5000005−5-1-1−5511000000000000000000000000
χ5644-444-4400-1-4-14-400100-1-115−55−511-1000000-404-115−55−500000−55115−5-1-1000000000000000000000000
χ5744-44-44400-1-4-1-4400100-11-1−555−511-10000040-401-1−555−500000-1-1−55115−5000000000000000000000000
χ5844-44-44400-1-4-1-4400100-11-1−555−511-100000-40401-1−555−500000115−5-1-1−55000000000000000000000000
χ5944-44-44400-1-4-1-4400100-11-15−5−5511-10000040-401-15−5−5500000-1-15−511−55000000000000000000000000
χ6044-44-44400-1-4-1-4400100-11-15−5−5511-100000-40401-15−5−550000011−55-1-15−5000000000000000000000000
χ6144-4-24-4-200424-2244-400-24-4000022-2-44-4-2-20000-220000002-2200000000000000000000000000000000
χ6244-4-24-4-200424-22-4-4-400-24-4000022-24-44220000-22000000-22-200000000000000000000000000000000
χ6344-4-2-44-2004242-244-400-2-44000022-2-4-44-2-200002-200000022-200000000000000000000000000000000
χ6444-4-2-44-2004242-2-4-4-400-2-44000022-244-42200002-2000000-2-2200000000000000000000000000000000
χ654-40400-40040-4004-4000400000000-40004-4000000000000000000000000000000000000000002-22-200
χ664-40400-40040-4004-4000400000000-40004-400000000000000000000000000000000000000000-22-2200
χ674-40400-40040-400-44000400000000-4000-44000000000000000000000000000000000000000002i−2i−2i2i00
χ684-40400-40040-400-44000400000000-4000-4400000000000000000000000000000000000000000−2i2i2i−2i00
χ69888-488-488-2-4-2-4-400-2-4-41-2-2-2-2-2-21110000000001111110000000000000000000000000000000000000
χ70888-488-4-8-8-2-4-2-4-400-2441-2-2222211100000000011-1-1-1-10000000000000000000000000000000000000
χ71888-4-8-8-48-8-2-4-24400-2-44122-2-222111000000000-1-111-1-10000000000000000000000000000000000000
χ72888-4-8-8-4-88-2-4-24400-24-412222-2-2111000000000-1-1-1-1110000000000000000000000000000000000000
χ7388-8-48-8-400-24-2-44002001-22−2525−2525-1-110000000001-15−55−50000000000000000000000000000000000000
χ7488-8-48-8-400-24-2-44002001-2225−2525−25-1-110000000001-1−55−550000000000000000000000000000000000000
χ7588-8-4-88-400-24-24-40020012-2−252525−25-1-11000000000-115−5−550000000000000000000000000000000000000
χ7688-8-4-88-400-24-24-40020012-225−25−2525-1-11000000000-11−555−50000000000000000000000000000000000000
χ778-80-40040080-8008-8000-4000000004000-4400000000000000000000000000000000000000000000000
χ788-80-40040080-800-88000-40000000040004-400000000000000000000000000000000000000000000000
χ7916-1601600-1600-4040000000-40000000040000000000000000000000000000000000000000000000000000
χ8016-160-800800-40400000002000000−2i152i15-20000000000000000000000000000000000000000000000000000
χ8116-160-800800-404000000020000002i15−2i15-20000000000000000000000000000000000000000000000000000

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