Finite Group Databasebeta

← Group #14297415

Character table — Group #14297415

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222244444444488888888888810101010101012121212121212121616161616162020202020242424242424404040404040404040404040404060606060120120120120
order12234464456101010121212121520202020202030303022441212244410101010606060606060226612202020202020446688121212122424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1111111i−i-1-1i−iii−i−iii−i−i-1-1-1-1i−ii−i
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1111111−ii-1-1−ii−i−iii−i−iii-1-1-1-1−ii−ii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1i−i-1-1i−iii−i−iii−i−i1111−ii−ii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1−ii-1-1−ii−i−iii−i−iii1111i−ii−i
χ91111111-1-11111111-1-1111-1-1-1-111111111111-1-1111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111-1-11111111-1-1111-1-1-1-111111111111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ111111111-1-11111111-1-1111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111-1-11111111-1-1111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ131111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-111-1-1-1-1i−i11−iiii−i−i−i−iii-1-111i−i−ii
χ141111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-111-1-1-1-1−ii11i−i−i−iiiii−i−i-1-111−iii−i
χ151111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111i−i11−iiii−i−i−i−iii11-1-1−iii−i
χ161111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111−ii11i−i−i−iiiii−i−i11-1-1i−i−ii
χ172222-2-220022222-2-2002-2-2000022222-2-2-2-22-2002222-2-200000022-2-2-2000000000000000000-22000000
χ182222-2-220022222-2-2002-2-2000022222-2-2-2-2-2200-2-2-2-2-2-200000022-2220000000000000000002-2000000
χ192222-2-220022222-2-2002-2-20000222-2-222222-2002222-2-2000000-2-22-2-20000000000000000002-2000000
χ202222-2-220022222-2-2002-2-20000222-2-22222-2200-2-2-2-2-2-2000000-2-2222000000000000000000-22000000
χ21222-122-1222-1222-1-1-1-1-1222222-1-1-12222-1-100000000-1-1-1-1-1-122-1-1-100000022-1-122-1-1-1-1-1-1-1-100000000
χ22222-122-1222-1222-1-1-1-1-1222222-1-1-12222-1-100000000-1-1-1-1-1-122-1-1-1000000-2-2-1-1-2-21111111100000000
χ23222-122-1222-1222-1-1-1-1-1222222-1-1-1-2-2-2-21100000000-1-1-1-1-1-1-2-21110000002i−2i112i−2i−i−iii−i−iii00000000
χ24222-122-1222-1222-1-1-1-1-1222222-1-1-1-2-2-2-21100000000-1-1-1-1-1-1-2-2111000000−2i2i11−2i2iii−i−iii−i−i00000000
χ25222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-12222-1-100000000-1-11111-2-2-1-1-10000002211-2-2-1-1-1-1111100000000
χ26222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-12222-1-100000000-1-11111-2-2-1-1-1000000-2-211221111-1-1-1-100000000
χ27222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-1-2-2-2-21100000000-1-11111221110000002i−2i-1-1−2i2i−i−iiiii−i−i00000000
χ28222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-1-2-2-2-21100000000-1-1111122111000000−2i2i-1-12i−2iii−i−i−i−iii00000000
χ2922-222-22002-2-2-222-20022-20000-2-222-2-22-2-2002-200002-2000000-2220022-2-200000000000000002-20000
χ3022-222-22002-2-2-222-20022-20000-2-222-2-22-2-200-2200002-2000000-22200-2-2220000000000000000-220000
χ3122-222-22002-2-2-222-20022-20000-2-22-222-222002-200002-20000002-2-20022-2-20000000000000000-220000
χ3222-222-22002-2-2-222-20022-20000-2-22-222-22200-2200002-20000002-2-200-2-22200000000000000002-20000
χ3322-22-2222-22-2-2-22-222-22-2222-2-2-2-222-22-22200000000-2222-2-22-2-22-2000000002-2000000000000000000
χ3422-22-2222-22-2-2-22-222-22-2222-2-2-2-22-22-22-2-200000000-2222-2-2-222-2200000000-22000000000000000000
χ3522-22-222-222-2-2-22-22-222-22-2-222-2-222-22-22200000000-22-2-222-22-22-200000000-22000000000000000000
χ3622-22-222-222-2-2-22-22-222-22-2-222-2-22-22-22-2-200000000-22-2-2222-22-22000000002-2000000000000000000
χ3722-2-1-22-12-221-2-221-1-11-1-2222-2-211-12-22-2-1-1000000001-1-1-1112-21-1100000000-1100−i3i3−i3i3−i3i3−i3i300000000
χ3822-2-1-22-12-221-2-221-1-11-1-2222-2-211-12-22-2-1-1000000001-1-1-1112-21-1100000000-1100i3−i3i3−i3i3−i3i3−i300000000
χ3922-2-1-22-12-221-2-221-1-11-1-2222-2-211-1-22-2211000000001-1-1-111-22-11-1000000001-1003−3−333−3−3300000000
χ4022-2-1-22-12-221-2-221-1-11-1-2222-2-211-1-22-2211000000001-1-1-111-22-11-1000000001-100−333−3−333−300000000
χ4122-2-1-22-1-2221-2-221-11-1-1-22-2-22211-12-22-2-1-1000000001-111-1-1-221-11000000001-100−i3i3−i3i3i3−i3i3−i300000000
χ4222-2-1-22-1-2221-2-221-11-1-1-22-2-22211-12-22-2-1-1000000001-111-1-1-221-11000000001-100i3−i3i3−i3−i3i3−i3i300000000
χ4322-2-1-22-1-2221-2-221-11-1-1-22-2-22211-1-22-2211000000001-111-1-12-2-11-100000000-11003−3−33−333−300000000
χ4422-2-1-22-1-2221-2-221-11-1-1-22-2-22211-1-22-2211000000001-111-1-12-2-11-100000000-1100−333−33−3−3300000000
χ45444444444-14-1-1-14444-1-1-1-1-1-1-1-1-1-10000004444-1-1-1-1-1-1-1-1-1-100000-1-1-1-1-1-10000000000000000000000
χ46444444444-14-1-1-14444-1-1-1-1-1-1-1-1-1-1000000-4-4-4-41111-1-1-1-1-1-1000001111110000000000000000000000
χ474444444-4-4-14-1-1-144-4-4-1-1-11111-1-1-100000044-4-4-1-1-1-1-1-1111100000-1-111110000000000000000000000
χ484444444-4-4-14-1-1-144-4-4-1-1-11111-1-1-1000000-4-4441111-1-111110000011-1-1-1-10000000000000000000000
χ494444-4-4400-14-1-1-1-4-400-111−55−55-1-1-10000004-400-1-1-1-111−55−550000011−55−550000000000000000000000
χ504444-4-4400-14-1-1-1-4-400-111−55−55-1-1-1000000-4400111111−55−5500000-1-15−55−50000000000000000000000
χ514444-4-4400-14-1-1-1-4-400-1115−55−5-1-1-10000004-400-1-1-1-1115−55−500000115−55−50000000000000000000000
χ524444-4-4400-14-1-1-1-4-400-1115−55−5-1-1-1000000-44001111115−55−500000-1-1−55−550000000000000000000000
χ53444-2-4-4-2004-24442200-2-4-40000-2-2-244-4-4220000000022000000-2-220000000000000000000000000000
χ54444-2-4-4-2004-24442200-2-4-40000-2-2-2-4-444-2-2000000002200000022-20000000000000000000000000000
χ5544-444-4400-1-411-14-400-1-11−555−511-1000000004-4−5−555-11−555−500000−55-1-1110000000000000000000000
χ5644-444-4400-1-411-14-400-1-11−555−511-100000000-4455−5−5-11−555−5000005−511-1-10000000000000000000000
χ5744-444-4400-1-411-14-400-1-115−5−5511-1000000004-455−5−5-115−5−55000005−5-1-1110000000000000000000000
χ5844-444-4400-1-411-14-400-1-115−5−5511-100000000-44−5−555-115−5−5500000−5511-1-10000000000000000000000
χ5944-44-4444-4-1-411-1-444-4-11-1-1-11111-10000000000−5−5551-1-1-111000005−5−555−50000000000000000000000
χ6044-44-4444-4-1-411-1-444-4-11-1-1-11111-1000000000055−5−51-1-1-11100000−555−5−550000000000000000000000
χ6144-44-444-44-1-411-1-44-44-11-111-1-111-10000000000−5−5551-111-1-1000005−55−5−550000000000000000000000
χ6244-44-444-44-1-411-1-44-44-11-111-1-111-1000000000055−5−51-111-1-100000−55−555−50000000000000000000000
χ6344-4-24-4-20042-4-44-2200-24-4000022-24-4-442200000000-220000002-2-20000000000000000000000000000
χ6444-4-24-4-20042-4-44-2200-24-4000022-2-444-4-2-200000000-22000000-2220000000000000000000000000000
χ65888-488-488-2-4-2-2-2-4-4-4-41-2-2-2-2-2-211100000000000000111111000000000000000000000000000000000
χ66888-488-4-8-8-2-4-2-2-2-4-4441-2-222221110000000000000011-1-1-1-1000000000000000000000000000000000
χ67888-4-8-8-400-2-4-2-2-24400122−2525−252511100000000000000-1-15−55−5000000000000000000000000000000000
χ68888-4-8-8-400-2-4-2-2-2440012225−2525−2511100000000000000-1-1−55−55000000000000000000000000000000000
χ6988-8-48-8-400-2422-2-44001-22−252525−25-1-11000000000000001-15−5−55000000000000000000000000000000000
χ7088-8-48-8-400-2422-2-44001-2225−25−2525-1-11000000000000001-1−555−5000000000000000000000000000000000
χ7188-8-4-88-48-8-2422-24-4-4412-2-2-222-1-1100000000000000-1111-1-1000000000000000000000000000000000
χ7288-8-4-88-4-88-2422-24-44-412-222-2-2-1-1100000000000000-11-1-111000000000000000000000000000000000
χ738-80800-8008000-80000800000000-800000000000000000000000000000000000000000000000000000
χ748-80800-800-20−252520000-2000000−2525200000000002ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58000000000000000000000000000000000000000
χ758-80800-800-20−252520000-2000000−252520000000000−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58000000000000000000000000000000000000000
χ768-80800-800-2025−2520000-200000025−25200000000002ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58000000000000000000000000000000000000000
χ778-80800-800-2025−2520000-200000025−2520000000000−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ58000000000000000000000000000000000000000
χ788-80-4004008000-80000-4000000004000043−4300000000000000000000000000000000000000000000000
χ798-80-4004008000-80000-40000000040000−434300000000000000000000000000000000000000000000000
χ8016-160-800800-40−454540000200000025−25-200000000000000000000000000000000000000000000000000000
χ8116-160-800800-4045−45400002000000−2525-200000000000000000000000000000000000000000000000000000

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