Finite Group Databasebeta

← Group #14300351

Character table — Group #14300351

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222444445588888888881010101010121216161616161616162020202020202024404040404040404040404040404848484860606060606060606060120
order12222365666102241010101212153030302226624202030306060606044446664444121212121212121212121020202024444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111111-1-1111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-111111111-1-1-1-1111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ511111111111111-1111-1-111111111111-1-111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1
χ611111111111111-1111-1-111111111111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1
χ711111111111111-1111-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111
χ811111111111111-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11
χ9111111111111-1-11111111111-1-1-1-1-11111111111i−ii−i-1-1-11-1i−i-1-1ii−i−iii−i−i1111-1-1i−ii−iii−i−i-1
χ10111111111111-1-11111111111-1-1-1-1-11111111111−ii−ii-1-1-11-1−ii-1-1−i−iii−i−iii1111-1-1−ii−ii−i−iii-1
χ11111111111111-1-11111111111-1-1-1-1-1-1-111111111i−ii−i-1-1-1-1-1i−i-1-1ii−i−iii−i−i-1-1-1-111−ii−ii−i−iii1
χ12111111111111-1-11111111111-1-1-1-1-1-1-111111111−ii−ii-1-1-1-1-1−ii-1-1−i−iii−i−iii-1-1-1-111i−ii−iii−i−i1
χ13111111111111-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1-1-1i−ii−i-1-1-1-11−ii11ii−i−i−i−iii11-1-1-1-1i−ii−i−i−iii1
χ14111111111111-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1-1-1−ii−ii-1-1-1-11i−i11−i−iiiii−i−i11-1-1-1-1−ii−iiii−i−i1
χ15111111111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1i−ii−i-1-1-111−ii11ii−i−i−i−iii-1-11111−ii−iiii−i−i-1
χ16111111111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1−ii−ii-1-1-111i−i11−i−iiiii−i−i-1-11111i−ii−i−i−iii-1
χ1722222-1-12-1-1-12222222-1-1-1-1-1-1222-1-10022-1-1-1-1-1-12222-1-1-10222-1-1-1-1-1-1-1-1-1-1000000000000000
χ1822222-1-12-1-1-12222222-1-1-1-1-1-1222-1-10022-1-1-1-1-1-1-2-2-2-2-1-1-102-2-2-1-111111111000000000000000
χ1922222-1-12-1-1-1222-222211-1-1-1-1222-1-100-2-2-1-111112222-1-1-10-2-2-211-1-1-1-11111000000000000000
χ2022222-1-12-1-1-1222-222211-1-1-1-1222-1-100-2-2-1-11111-2-2-2-2-1-1-10-222111111-1-1-1-1000000000000000
χ2122222-1-12-1-1-12-2-22222-1-1-1-1-1-1-2-2-2110022-1-1-1-1-1-12i−2i2i−2i1110-22i−2i11−i−iii−i−iii000000000000000
χ2222222-1-12-1-1-12-2-22222-1-1-1-1-1-1-2-2-2110022-1-1-1-1-1-1−2i2i−2i2i1110-2−2i2i11ii−i−iii−i−i000000000000000
χ2322222-1-12-1-1-12-2-2-222211-1-1-1-1-2-2-21100-2-2-1-111112i−2i2i−2i11102−2i2i-1-1−i−iiiii−i−i000000000000000
χ2422222-1-12-1-1-12-2-2-222211-1-1-1-1-2-2-21100-2-2-1-11111−2i2i−2i2i111022i−2i-1-1ii−i−i−i−iii000000000000000
χ25222-2-22222-2-222202-2-20022-2-2-2-22222-2002-200000000-2-22000000000000002-2002-2000000000
χ26222-2-22222-2-222202-2-20022-2-2-2-2222-22002-200000000-2-2200000000000000-2200-22000000000
χ27222-2-22222-2-22-2-202-2-20022-2-222-2-2-22-2002-20000000022-2000000000000002-200-22000000000
χ28222-2-22222-2-22-2-202-2-20022-2-222-2-2-2-22002-20000000022-200000000000000-22002-2000000000
χ2922-22-2222-2-222220-22-20022222-2-2220000-2-2000000002-2-20000000000000000000022-2-200000
χ3022-22-2222-2-222220-22-20022222-2-2220000-2-2000000002-2-200000000000000000000-2-22200000
χ3122-22-2222-2-222-2-20-22-2002222-222-2-20000-2-200000000-222000000000000000000002i−2i−2i2i00000
χ3222-22-2222-2-222-2-20-22-2002222-222-2-20000-2-200000000-22200000000000000000000−2i2i2i−2i00000
χ3322-2-22222-22-22220-2-220022-2-2-22-2220000-22000022-2-2-22-20000002-22-20000000000000000000
χ3422-2-22222-22-22220-2-220022-2-2-22-2220000-220000-2-222-22-2000000-22-220000000000000000000
χ3522-2-22222-22-22-2-20-2-220022-2-22-22-2-20000-2200002i−2i−2i2i2-220000002i−2i−2i2i0000000000000000000
χ3622-2-22222-22-22-2-20-2-220022-2-22-22-2-20000-220000−2i2i2i−2i2-22000000−2i2i2i−2i0000000000000000000
χ3722-2-22-1-121-112220-2-223−3-1-111-22-2-1-100001-133−3−322-2-21-1100003−3-11-113−33−3000000000000000
χ3822-2-22-1-121-112220-2-223−3-1-111-22-2-1-100001-133−3−3-2-2221-1100003−31-11-1−33−33000000000000000
χ3922-2-22-1-121-112220-2-22−33-1-111-22-2-1-100001-1−3−33322-2-21-110000−33-11-11−33−33000000000000000
χ4022-2-22-1-121-112220-2-22−33-1-111-22-2-1-100001-1−3−333-2-2221-110000−331-11-13−33−3000000000000000
χ4122-2-22-1-121-112-2-20-2-223−3-1-1112-221100001-133−3−32i−2i−2i2i-11-10000−33−iii−ii3−i3−i3i3000000000000000
χ4222-2-22-1-121-112-2-20-2-223−3-1-1112-221100001-133−3−3−2i2i2i−2i-11-10000−33i−i−ii−i3i3i3−i3000000000000000
χ4322-2-22-1-121-112-2-20-2-22−33-1-1112-221100001-1−3−3332i−2i−2i2i-11-100003−3−iii−i−i3i3i3−i3000000000000000
χ4422-2-22-1-121-112-2-20-2-22−33-1-1112-221100001-1−3−333−2i2i2i−2i-11-100003−3i−i−iii3−i3−i3i3000000000000000
χ454444444-1444-1004-1-1-144-1-1-1-10000044-1-1-1-1-1-1-1-1000000040000000000000-1-1-1-100000000000
χ464444444-1444-1004-1-1-144-1-1-1-100000-4-4-1-1-1-1-1-1-1-10000000-40000000000000111100000000000
χ474444444-1444-100-4-1-1-1-4-4-1-1-1-1000004411-1-111110000000-40000000000000-1-11100000000000
χ484444444-1444-100-4-1-1-1-4-4-1-1-1-100000-4-411-1-1111100000004000000000000011-1-100000000000
χ49444-4-444-14-4-4-1000-11100-1-111000004-4−i5i5-11−i5i5−i5i5000000000000000000000-11−i5i500000000000
χ50444-4-444-14-4-4-1000-11100-1-111000004-4i5−i5-11i5−i5i5−i5000000000000000000000-11i5−i500000000000
χ51444-4-444-14-4-4-1000-11100-1-11100000-44−i5i5-11−i5i5−i5i50000000000000000000001-1i5−i500000000000
χ52444-4-444-14-4-4-1000-11100-1-11100000-44i5−i5-11i5−i5i5−i50000000000000000000001-1−i5i500000000000
χ53444-4-4-2-24-22244404-4-400-2-222-4-44-2-20000-220000000022-200000000000000000000000000000
χ54444-4-4-2-24-2224-4-404-4-400-2-22244-4220000-2200000000-2-2200000000000000000000000000000
χ5544-44-4-2-2422-24440-44-400-2-2-2-24-4-4-2-200002200000000-22200000000000000000000000000000
χ5644-44-4-2-2422-24-4-40-44-400-2-2-2-2-44422000022000000002-2-200000000000000000000000000000
χ574-40004-44000-44-40000004-4000004-4000000000000000000000000000000000000000002i−2i2i−2i0
χ584-40004-44000-44-40000004-4000004-400000000000000000000000000000000000000000−2i2i−2i2i0
χ594-40004-44000-4-440000004-400000-44000000000000000000000000000000000000000002-2-220
χ604-40004-44000-4-440000004-400000-4400000000000000000000000000000000000000000-222-20
χ6188888-4-4-2-4-4-4-2008-2-2-2-4-411110000000-2-2111111000000000000000000000000000000000000
χ6288888-4-4-2-4-4-4-200-8-2-2-244111100000002211-1-1-1-1000000000000000000000000000000000000
χ63888-8-8-4-4-2-444-2000-2220011-1-10000000−2i52i51-1i5−i5i5−i5000000000000000000000000000000000000
χ64888-8-8-4-4-2-444-2000-2220011-1-100000002i5−2i51-1−i5i5−i5i5000000000000000000000000000000000000
χ6588-88-888-2-8-88-20002-2200-2-2-2-2000000000220000000000000000000000000000000000000000
χ6688-88-8-4-4-244-4-20002-22001111000000000-1-1−i15i15i15−i15000000000000000000000000000000000000
χ6788-88-8-4-4-244-4-20002-22001111000000000-1-1i15−i15−i15i15000000000000000000000000000000000000
χ6888-8-8888-2-88-8-200022-200-2-2220000000002-20000000000000000000000000000000000000000
χ6988-8-88-4-4-24-44-200022-243−4311-1-1000000000-11−3−333000000000000000000000000000000000000
χ7088-8-88-4-4-24-44-200022-2−434311-1-1000000000-1133−3−3000000000000000000000000000000000000
χ718-8000-448000-88-8000000-4400000-440000000000000000000000000000000000000000000000
χ728-8000-448000-8-88000000-44000004-40000000000000000000000000000000000000000000000
χ7316-1600016-16-4000400000000-4400000000000000000000000000000000000000000000000000000
χ7416-16000-88-40004000000002-2−2i152i15000000000000000000000000000000000000000000000000000
χ7516-16000-88-40004000000002-22i15−2i15000000000000000000000000000000000000000000000000000

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