Finite Group Databasebeta

← Group #14313295

Character table — Group #14313295

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122244444444448888888810101010161616161616161620202020202024242424242440404040404040404040404040404848120120120120120120
order12236224561010101212661010153030304412121020303030306060244661224101010104444121212121212121212122020248888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111ii−i−i-1-1iiii−i−i−i−i11-1-1ii−i−i
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111−i−iii-1-1−i−i−i−iiiii11-1-1−i−iii
χ711111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-111−i−iii
χ811111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-111ii−i−i
χ9111111-1-111111-1-11-11111111111-1-111-1-1-1-1-11-1-1-111-11111i−ii−i1-1ii−i−iii−i−i-1-11-1i−ii−i
χ10111111-1-111111-1-11-11111111111-1-111-1-1-1-1-11-1-1-111-11111−ii−ii1-1−i−iii−i−iii-1-11-1−ii−ii
χ11111111-1-111111-1-11-11111111111-1-111-1-1-1-1-11-1-1-11-11-1-1-1-1i−ii−i1-1ii−i−iii−i−i11-11−ii−ii
χ12111111-1-111111-1-11-11111111111-1-111-1-1-1-1-11-1-1-11-11-1-1-1-1−ii−ii1-1−i−iii−i−iii11-11i−ii−i
χ13111111-1-111111-1-11-1111111-1-1-1-1-1-111-1-1-1-11-1111-11-111111-1-11-1111-1-1-1-111-1-1-111-1-11
χ14111111-1-111111-1-11-1111111-1-1-1-1-1-111-1-1-1-11-1111-11-11111-111-1-11-1-11111-1-1-1-1-11-111-1
χ15111111-1-111111-1-11-1111111-1-1-1-1-1-111-1-1-1-11-1111-1-11-1-1-1-11-1-11-1111-1-1-1-111111-1-111-1
χ16111111-1-111111-1-11-1111111-1-1-1-1-1-111-1-1-1-11-1111-1-11-1-1-1-1-111-1-11-1-11111-1-1111-11-1-11
χ1722222-22-222222-2-2-22-2-2222222222-2-2-222-2-2-2-22-2-220000000000-220000000000000000
χ1822222-22-222222-2-2-22-2-22222-2-2-2-22-2-2-222-2-222-222-200000000002-20000000000000000
χ1922222-2-222222222-2-2-2-222222222-22-2-2-2-2222-2-22220000000000-2-20000000000000000
χ2022222-2-222222222-2-2-2-22222-2-2-2-2-22-2-2-2-222-222-2-2-20000000000220000000000000000
χ21222-1-12222-1222-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-10000002222-1-1-1-1-1-1-1-1-1-100000000
χ22222-1-12222-1222-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-1000000-2-2-2-2-1-11111111100000000
χ23222-1-12222-1222-1-1-1-122-1-1-1-1-2-21122-1-1-1-1-1-1-2-2-21110000002i2i−2i−2i11−i−i−i−iiiii00000000
χ24222-1-12222-1222-1-1-1-122-1-1-1-1-2-21122-1-1-1-1-1-1-2-2-2111000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ25222-1-12-2-22-122211-1122-1-1-1-122-1-1-2-2-1-11111-22-211-10000002i−2i2i−2i-11−i−iii−i−iii00000000
χ26222-1-12-2-22-122211-1122-1-1-1-122-1-1-2-2-1-11111-22-211-1000000−2i2i−2i2i-11ii−i−iii−i−i00000000
χ27222-1-12-2-22-122211-1122-1-1-1-1-2-211-2-2-1-111112-22-1-110000002-2-221-1-1-11111-1-100000000
χ28222-1-12-2-22-122211-1122-1-1-1-1-2-211-2-2-1-111112-22-1-11000000-222-21-111-1-1-1-11100000000
χ29222-1-1-22-22-1222111-1-2-2-1-1-1-122-1-12-211-1-111-2-2211-100000000001-13−33−33−33−300000000
χ30222-1-1-22-22-1222111-1-2-2-1-1-1-122-1-12-211-1-111-2-2211-100000000001-1−33−33−33−3300000000
χ31222-1-1-22-22-1222111-1-2-2-1-1-1-1-2-2112-211-1-11122-2-1-110000000000-11−i3i3−i3i3i3−i3i3−i300000000
χ32222-1-1-22-22-1222111-1-2-2-1-1-1-1-2-2112-211-1-11122-2-1-110000000000-11i3−i3i3−i3−i3i3−i3i300000000
χ33222-1-1-2-222-1222-1-111-2-2-1-1-1-122-1-1-221111-1-12-2-2-1-1-1000000000011−i3i3i3−i3−i3i3i3−i300000000
χ34222-1-1-2-222-1222-1-111-2-2-1-1-1-122-1-1-221111-1-12-2-2-1-1-1000000000011i3−i3−i3i3i3−i3−i3i300000000
χ35222-1-1-2-222-1222-1-111-2-2-1-1-1-1-2-211-221111-1-1-2221110000000000-1-13−3−33−333−300000000
χ36222-1-1-2-222-1222-1-111-2-2-1-1-1-1-2-211-221111-1-1-2221110000000000-1-1−333−33−3−3300000000
χ3744444444-14-1-1-14444-1-1-1-1-1-10000-1-1-1-1-1-1-1-100000044-1-1-1-100000000000000-1-1000000
χ3844444444-14-1-1-14444-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000-4-411110000000000000011000000
χ39444444-4-4-14-1-1-1-4-44-4-1-1-1-1-1-1000011-1-111110000004-4-1-1-1-10000000000000011000000
χ40444444-4-4-14-1-1-1-4-44-4-1-1-1-1-1-1000011-1-11111000000-44111100000000000000-1-1000000
χ4144444-44-4-14-1-1-1-4-4-4411-1-1-1-10000-1111-1-11100000000−5−55500000000000000−55000000
χ4244444-44-4-14-1-1-1-4-4-4411-1-1-1-10000-1111-1-1110000000055−5−5000000000000005−5000000
χ4344444-4-44-14-1-1-144-4-411-1-1-1-100001-11111-1-100000000−5−555000000000000005−5000000
χ4444444-4-44-14-1-1-144-4-411-1-1-1-100001-11111-1-10000000055−5−500000000000000−55000000
χ4544-4440004-44-4-40000004-4-444-4440000000000000-40000000000000000000000000000
χ4644-4440004-44-4-40000004-4-44-44-4-4000000000000040000000000000000000000000000
χ4744-4-2-2000424-4-4−2i32i30000-222-24-4-2-2000000−2i32i3000−2i32i320000000000000000000000000000
χ4844-4-2-2000424-4-4−2i32i30000-222-2-4422000000−2i32i30002i3−2i3-20000000000000000000000000000
χ4944-4-2-2000424-4-42i3−2i30000-222-24-4-2-20000002i3−2i30002i3−2i320000000000000000000000000000
χ5044-4-2-2000424-4-42i3−2i30000-222-2-44220000002i3−2i3000−2i32i3-20000000000000000000000000000
χ51888-4-4888-2-4-2-2-2-4-4-4-4-2-211110000-2-21111110000000000000000000000000000000000
χ52888-4-48-8-8-2-4-2-2-244-44-2-2111100002211-1-1-1-10000000000000000000000000000000000
χ53888-4-4-88-8-2-4-2-2-2444-42211110000-22-1-111-1-10000000000000000000000000000000000
χ54888-4-4-8-88-2-4-2-2-2-4-44422111100002-2-1-1-1-1110000000000000000000000000000000000
χ5588-888000-2-8-2220000−2525-222-2000000−252500000000000000000000000000000000000000
χ5688-888000-2-8-222000025−25-222-200000025−2500000000000000000000000000000000000000
χ5788-8-4-4000-24-222−4i34i300−25251-1-110000005−5−i15i15i3−i30000000000000000000000000000000000
χ5888-8-4-4000-24-222−4i34i30025−251-1-11000000−55i15−i15i3−i30000000000000000000000000000000000
χ5988-8-4-4000-24-2224i3−4i300−25251-1-110000005−5i15−i15−i3i30000000000000000000000000000000000
χ6088-8-4-4000-24-2224i3−4i30025−251-1-11000000−55−i15i15−i3i30000000000000000000000000000000000
χ618-808-800080-800000000800-80000000000000000000000000000000000000000000000
χ628-808-8000-202−2525000000-2−2525200000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000
χ638-808-8000-202−2525000000-2−25252000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000
χ648-808-8000-20225−25000000-225−252000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000
χ658-808-8000-20225−25000000-225−25200000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000
χ668-80-4400080-800000000-40040043−43000000000000000000000000000000000000000000
χ678-80-4400080-800000000-400400−4343000000000000000000000000000000000000000000
χ6816-160-88000-404−4545000000225−25-20000000000000000000000000000000000000000000000
χ6916-160-88000-40445−450000002−2525-20000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.