Finite Group Databasebeta

← Group #14303071

Character table — Group #14303071

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222244444488888888888888888888888881010101012122020202020202020244040404040404040404040404048484848606060606060120120120
order12222366656610101026610101010101015303030303030303030303030303030444424888812121212426688242424242424242410202020248888488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111-1-111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111111111111111111111111111111111-1-1-1-111ii−i−i-1-1-1-11-1-1-1i−iiiii−i−i−i−i1111-1-1ii−i−i-1i−i
χ61111111111111111111111111111111111111111-1-1-1-111−i−iii-1-1-1-11-1-1-1−ii−i−i−i−iiiii1111-1-1−i−iii-1−ii
χ71111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i-1-1-1-111−i−iii1−ii
χ81111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii-1-1-1-111ii−i−i1i−i
χ9111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1
χ10111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-111
χ11111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111
χ12111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-111-1-111111-1-1
χ13111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1111−iiii−i−i−i−iii11-1-1-1-1ii−i−i1−ii
χ14111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1111i−i−i−iiiii−i−i11-1-1-1-1−i−iii1i−i
χ15111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-11111−iiii−i−i−i−iii-1-11111−i−iii-1i−i
χ16111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-11111i−i−i−iiiii−i−i-1-11111ii−i−i-1−ii
χ1722222-1-1-1-12-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222002222-1-1-1-102-1-122-1-1-1-1-1-1-1-10000000000000
χ1822222-1-1-1-12-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-2-2-2-2-1-1-1-102-1-1-2-2111111110000000000000
χ1922222-1-1-1-12-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2002i2i−2i−2i11110-2112i−2i−i−i−i−iiiii0000000000000
χ2022222-1-1-1-12-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200−2i−2i2i2i11110-211−2i2iiiii−i−i−i−i0000000000000
χ2122222-1-1-1-12-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-1111111112222002222-1-1-1-10-211-2-2-1-111-1-1110000000000000
χ2222222-1-1-1-12-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-111111111222200-2-2-2-2-1-1-1-10-2112211-1-111-1-10000000000000
χ2322222-1-1-1-12-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2002i2i−2i−2i111102-1-1−2i2i−i−iiiii−i−i0000000000000
χ2422222-1-1-1-12-1-1222-21122-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-200−2i−2i2i2i111102-1-12i−2iii−i−i−i−iii0000000000000
χ25222-2-222222-2-22-2-20002-200002222-2-2-2-20000000022-2-20000002-22-2000000000000000000002i−2i2i−2i000
χ26222-2-222222-2-22-2-20002-200002222-2-2-2-20000000022-2-20000002-22-200000000000000000000−2i2i−2i2i000
χ27222-2-222222-2-22-2-20002-200002222-2-2-2-200000000-2-222000000-22-22000000000000000000002-2-22000
χ28222-2-222222-2-22-2-20002-200002222-2-2-2-200000000-2-222000000-22-2200000000000000000000-222-2000
χ2922-22-22-2-2222-22-2-2000-22000022-2-222-2-2000000002-22-2002i−2i2i−2i22-2-20000002i−2i002i−2i000000000000000
χ3022-22-22-2-2222-22-2-2000-22000022-2-222-2-2000000002-22-200−2i2i−2i2i22-2-2000000−2i2i00−2i2i000000000000000
χ3122-22-22-2-2222-22-2-2000-22000022-2-222-2-200000000-22-22002-2-22-2-2220000002-200-22000000000000000
χ3222-22-22-2-2222-22-2-2000-22000022-2-222-2-200000000-22-2200-222-2-2-222000000-22002-2000000000000000
χ3322-22-2-111-12-112-2-20−i3i3-220000-1-111-1-111−i3−i3−i3−i3i3i3i3i32-22-2002i−2i2i−2i-1-11100−i3i300−ii3−3−ii3−30000000000000
χ3422-22-2-111-12-112-2-20−i3i3-220000-1-111-1-111−i3−i3−i3−i3i3i3i3i32-22-200−2i2i−2i2i-1-11100−i3i300i−i−33i−i−330000000000000
χ3522-22-2-111-12-112-2-20−i3i3-220000-1-111-1-111−i3−i3−i3−i3i3i3i3i3-22-22002-2-2211-1-100i3−i300-11−i3i31-1i3−i30000000000000
χ3622-22-2-111-12-112-2-20−i3i3-220000-1-111-1-111−i3−i3−i3−i3i3i3i3i3-22-2200-222-211-1-100i3−i3001-1i3−i3-11−i3i30000000000000
χ3722-22-2-111-12-112-2-20i3−i3-220000-1-111-1-111i3i3i3i3−i3−i3−i3−i32-22-2002i−2i2i−2i-1-11100i3−i300−ii−33−ii−330000000000000
χ3822-22-2-111-12-112-2-20i3−i3-220000-1-111-1-111i3i3i3i3−i3−i3−i3−i32-22-200−2i2i−2i2i-1-11100i3−i300i−i3−3i−i3−30000000000000
χ3922-22-2-111-12-112-2-20i3−i3-220000-1-111-1-111i3i3i3i3−i3−i3−i3−i3-22-22002-2-2211-1-100−i3i300-11i3−i31-1−i3i30000000000000
χ4022-22-2-111-12-112-2-20i3−i3-220000-1-111-1-111i3i3i3i3−i3−i3−i3−i3-22-2200-222-211-1-100−i3i3001-1−i3i3-11i3−i30000000000000
χ4122-2-222-2-222-22222000-2-2000022-2-2-2-222000000002-2-222-200002-2-22000000000000002-200-220000000
χ4222-2-222-2-222-22222000-2-2000022-2-2-2-222000000002-2-22-2200002-2-2200000000000000-22002-20000000
χ4322-2-222-2-222-22222000-2-2000022-2-2-2-22200000000-222-22-20000-222-2000000000000002-2002-20000000
χ4422-2-222-2-222-22222000-2-2000022-2-2-2-22200000000-222-2-220000-222-200000000000000-2200-220000000
χ45444444444-144-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000440000000040000000000000-1-1-1-1000000000
χ46444444444-144-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-400000000-400000000000001111000000000
χ47444444444-144-1-1-1-4-4-4-1-11111-1-1-1-1-1-1-1-11111111100004400000000-40000000000000-1-111000000000
χ48444444444-144-1-1-1-4-4-4-1-11111-1-1-1-1-1-1-1-1111111110000-4-4000000004000000000000011-1-1000000000
χ49444-4-4-2-2-2-24224-4-40004-40000-2-2-2-222220000000044-4-4000000-22-22000000000000000000000000000
χ50444-4-4-2-2-2-24224-4-40004-40000-2-2-2-2222200000000-4-4440000002-22-2000000000000000000000000000
χ5144-4-444-4-44-1-44-1-1-100011−5−555-1-11111-1-1−5−555−5−55500004-40000000000000000000000-11−55000000000
χ5244-4-444-4-44-1-44-1-1-100011−5−555-1-11111-1-1−5−555−5−5550000-4400000000000000000000001-15−5000000000
χ5344-4-444-4-44-1-44-1-1-10001155−5−5-1-11111-1-155−5−555−5−500004-40000000000000000000000-115−5000000000
χ5444-4-444-4-44-1-44-1-1-10001155−5−5-1-11111-1-155−5−555−5−50000-4400000000000000000000001-1−55000000000
χ5544-4-44-222-242-2444000-4-40000-2-22222-2-2000000004-4-44000000-222-2000000000000000000000000000
χ5644-4-44-222-242-2444000-4-40000-2-22222-2-200000000-444-40000002-2-22000000000000000000000000000
χ5788888-4-4-4-4-2-4-4-2-2-28-4-4-2-2-2-2-2-2111111111111111100000000000000000000000000000000000000000
χ5888888-4-4-4-4-2-4-4-2-2-2-844-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ59888-8-88888-2-8-8-222000-220000-2-2-2-222220000000000000000000000000000000000000000000000000
χ60888-8-8-4-4-4-4-244-222000-2200001111-1-1-1-1−i15−i15i15i15i15i15−i15−i1500000000000000000000000000000000000000000
χ61888-8-8-4-4-4-4-244-222000-2200001111-1-1-1-1i15i15−i15−i15−i15−i15i15i1500000000000000000000000000000000000000000
χ6288-88-88-8-88-28-8-2220002-20000-2-222-2-2220000000000000000000000000000000000000000000000000
χ6388-88-8-444-4-2-44-2220−4i34i32-2000011-1-111-1-1i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000000000000
χ6488-88-8-444-4-2-44-22204i3−4i32-2000011-1-111-1-1−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000000000000
χ6588-8-88-444-4-24-4-2-2-200022−25−25252511-1-1-1-11155−5−555−5−500000000000000000000000000000000000000000
χ6688-8-88-444-4-24-4-2-2-2000222525−25−2511-1-1-1-111−5−555−5−55500000000000000000000000000000000000000000
χ678-8000800-8800-8000000000008-80000000000000000000000000000000000000000000000000000000
χ688-8000800-8-2002−252500000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58-220000−2525−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000000000000000000000
χ698-8000800-8-2002−2525000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58-220000−25252ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000000000000000000000
χ708-8000800-8-200225−25000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46-22000025−252ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000000000000000000000
χ718-8000800-8-200225−2500000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46-22000025−25−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000000000000000000000
χ728-8000-4−4i34i34800-800000000000-44−4i34i300000000000000000000000000000000000000000000000000000
χ738-8000-4−4i34i34-2002−252500000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581-1i3−i3−i15i155−5ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ58−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ58ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ5800000000000000000000000000000000000000000
χ748-8000-4−4i34i34-2002−2525000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581-1i3−i3−i15i155−5−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ58ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ58−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ5800000000000000000000000000000000000000000
χ758-8000-4−4i34i34-200225−25000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461-1i3−i3i15−i15−55−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ58ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ58−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ5800000000000000000000000000000000000000000
χ768-8000-4−4i34i34-200225−2500000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461-1i3−i3i15−i15−55ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ58−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ58ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ5800000000000000000000000000000000000000000
χ778-8000-44i3−4i34800-800000000000-444i3−4i300000000000000000000000000000000000000000000000000000
χ788-8000-44i3−4i34-2002−252500000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581-1−i3i3i15−i155−5−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ58ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ58−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ5800000000000000000000000000000000000000000
χ798-8000-44i3−4i34-2002−2525000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581-1−i3i3i15−i155−5ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ58−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ58ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ5800000000000000000000000000000000000000000
χ808-8000-44i3−4i34-200225−25000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461-1−i3i3−i15i15−55−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ58−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ58ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ5800000000000000000000000000000000000000000
χ818-8000-44i3−4i34-200225−2500000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461-1−i3i3−i15i15−55ζ2+ζ14+ζ22−ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26+ζ34+ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26+ζ34+ζ38−ζ46−ζ58ζ2−ζ14−ζ22+ζ26−ζ34−ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14−ζ22−ζ26+ζ34−ζ38−ζ46+ζ58−ζ2−ζ14+ζ22+ζ26−ζ34+ζ38+ζ46−ζ5800000000000000000000000000000000000000000

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