Finite Group Databasebeta

← Group #14297410

Character table — Group #14297410

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222244444444488888888888810101010101012121212121212121616161616162020202020242424242424404040404040404040404040404060606060120120120120
order122344644561010101212121215202020202020303030224466222420202020606060606060446121210101010101044881212121212122424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1111111i−ii−i-1-1ii−i−iii−i−i-1-1-1-1i−ii−i
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1111111−ii−ii-1-1−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−ii−i-1-1ii−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−ii-1-1−i−iii−i−iii1111i−ii−i
χ91111111-1-11111111-1-1111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-111
χ101111111-1-11111111-1-1111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-111-111-1-1
χ111111111-1-11111111-1-1111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1
χ121111111-1-11111111-1-1111-1-1-1-1111111111-1-111111111-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-111111-1-11-1-111
χ131111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-1i−i−ii11ii−i−i−i−iii1-1-11−iii−i
χ141111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-1−iii−i11−i−iiiii−i−i1-1-11i−i−ii
χ151111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-111i−i−ii11ii−i−i−i−iii-111-1i−i−ii
χ161111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-111−iii−i11−i−iiiii−i−i-111-1−iii−i
χ172222-2-220022222-2-2002-2-2000022222-2-222002-2-2-2-2-2-2-20000002-2-200002200000000000000-20020000
χ182222-2-220022222-2-2002-2-2000022222-2-22200-222222-2-20000002-2-20000-2-200000000000000200-20000
χ192222-2-220022222-2-2002-2-20000222-2-222-2-2002-2-2-2-2-2-2-2000000-22200002200000000000000200-20000
χ202222-2-220022222-2-2002-2-20000222-2-222-2-200-222222-2-2000000-2220000-2-200000000000000-20020000
χ21222-122-1222-1222-1-1-1-1-1222222-1-1-12222-1-100000000-1-1-1-1-1-122-1-1-10000002222-1-1-1-1-1-1-1-1-1-100000000
χ22222-122-1222-1222-1-1-1-1-1222222-1-1-12222-1-100000000-1-1-1-1-1-122-1-1-1000000-2-2-2-2-1-11111111100000000
χ23222-122-1222-1222-1-1-1-1-1222222-1-1-1-2-2-2-21100000000-1-1-1-1-1-1-2-21110000002i−2i2i−2i11−i−iii−i−iii00000000
χ24222-122-1222-1222-1-1-1-1-1222222-1-1-1-2-2-2-21100000000-1-1-1-1-1-1-2-2111000000−2i2i−2i2i11ii−i−iii−i−i00000000
χ25222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-12222-1-100000000-1-11111-2-2-1-1-100000022-2-211-1-1-1-1111100000000
χ26222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-12222-1-100000000-1-11111-2-2-1-1-1000000-2-222111111-1-1-1-100000000
χ27222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-1-2-2-2-21100000000-1-11111221110000002i−2i−2i2i-1-1−i−iiiii−i−i00000000
χ28222-122-1-2-22-1222-1-111-122-2-2-2-2-1-1-1-2-2-2-21100000000-1-1111122111000000−2i2i2i−2i-1-1ii−i−i−i−iii00000000
χ2922-222-22002-2-2-222-20022-20000-2-222-2-22222-20000002-2000000-22-222-2-2000000000000000002-200000
χ3022-222-22002-2-2-222-20022-20000-2-222-2-2222-220000002-2000000-22-2-2-22200000000000000000-2200000
χ3122-222-22002-2-2-222-20022-20000-2-22-222-2-2-22-20000002-20000002-2222-2-200000000000000000-2200000
χ3222-222-22002-2-2-222-20022-20000-2-22-222-2-2-2-220000002-20000002-22-2-222000000000000000002-200000
χ3322-22-2222-22-2-2-22-222-22-2222-2-2-2-222-22-22200000000-2222-2-22-2-2-2200000000002-20000000000000000
χ3422-22-2222-22-2-2-22-222-22-2222-2-2-2-22-22-22-2-200000000-2222-2-2-2222-20000000000-220000000000000000
χ3522-22-222-222-2-2-22-22-222-22-2-222-2-222-22-22200000000-22-2-222-22-2-220000000000-220000000000000000
χ3622-22-222-222-2-2-22-22-222-22-2-222-2-22-22-22-2-200000000-22-2-2222-222-200000000002-20000000000000000
χ3722-2-1-22-12-221-2-221-1-11-1-2222-2-211-12-22-2-1-1000000001-1-1-1112-211-10000000000-11−i3i3−i3i3−i3i3−i3i300000000
χ3822-2-1-22-12-221-2-221-1-11-1-2222-2-211-12-22-2-1-1000000001-1-1-1112-211-10000000000-11i3−i3i3−i3i3−i3i3−i300000000
χ3922-2-1-22-12-221-2-221-1-11-1-2222-2-211-1-22-2211000000001-1-1-111-22-1-1100000000001-13−3−333−3−3300000000
χ4022-2-1-22-12-221-2-221-1-11-1-2222-2-211-1-22-2211000000001-1-1-111-22-1-1100000000001-1−333−3−333−300000000
χ4122-2-1-22-1-2221-2-221-11-1-1-22-2-22211-12-22-2-1-1000000001-111-1-1-2211-100000000001-1−i3i3−i3i3i3−i3i3−i300000000
χ4222-2-1-22-1-2221-2-221-11-1-1-22-2-22211-12-22-2-1-1000000001-111-1-1-2211-100000000001-1i3−i3i3−i3−i3i3−i3i300000000
χ4322-2-1-22-1-2221-2-221-11-1-1-22-2-22211-1-22-2211000000001-111-1-12-2-1-110000000000-113−3−33−333−300000000
χ4422-2-1-22-1-2221-2-221-11-1-1-22-2-22211-1-22-2211000000001-111-1-12-2-1-110000000000-11−333−33−3−3300000000
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
χ474444444-4-4-14-1-1-144-4-4-1-1-11111-1-1-100000044-4-41111-1-1111100000-1-1-1-1110000000000000000000000
χ484444444-4-4-14-1-1-144-4-4-1-1-11111-1-1-1000000-4-444-1-1-1-1-1-11111000001111-1-10000000000000000000000
χ494444-4-4400-14-1-1-1-4-400-111−55−55-1-1-1000000004-4111111−55−5500000−55−55-1-10000000000000000000000
χ504444-4-4400-14-1-1-1-4-400-111−55−55-1-1-100000000-44-1-1-1-111−55−55000005−55−5110000000000000000000000
χ514444-4-4400-14-1-1-1-4-400-1115−55−5-1-1-1000000004-41111115−55−5000005−55−5-1-10000000000000000000000
χ524444-4-4400-14-1-1-1-4-400-1115−55−5-1-1-100000000-44-1-1-1-1115−55−500000−55−55110000000000000000000000
χ53444-2-4-4-2004-24442200-2-4-40000-2-2-244-4-4-2-20000000022000000-2220000000000000000000000000000
χ54444-2-4-4-2004-24442200-2-4-40000-2-2-2-4-4442200000000220000002-2-20000000000000000000000000000
χ5544-444-4400-1-411-14-400-1-11−555−511-10000004-400−5−555-11−555−500000-1-111−550000000000000000000000
χ5644-444-4400-1-411-14-400-1-11−555−511-1000000-440055−5−5-11−555−50000011-1-15−50000000000000000000000
χ5744-444-4400-1-411-14-400-1-115−5−5511-10000004-40055−5−5-115−5−5500000-1-1115−50000000000000000000000
χ5844-444-4400-1-411-14-400-1-115−5−5511-1000000-4400−5−555-115−5−550000011-1-1−550000000000000000000000
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
χ6144-44-444-44-1-411-1-44-44-11-111-1-111-10000000000−5−5551-111-1-100000−555−55−50000000000000000000000
χ6244-44-444-44-1-411-1-44-44-11-111-1-111-1000000000055−5−51-111-1-1000005−5−55−550000000000000000000000
χ6344-4-24-4-20042-4-44-2200-24-4000022-24-4-44-2-200000000-220000002-220000000000000000000000000000
χ6444-4-24-4-20042-4-44-2200-24-4000022-2-444-42200000000-22000000-22-20000000000000000000000000000
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
χ748-80800-800-20−252520000-2000000−2525200000000002ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ59000000000000000000000000000000000000000
χ758-80800-800-20−252520000-2000000−252520000000000−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59000000000000000000000000000000000000000
χ768-80800-800-2025−2520000-200000025−25200000000002ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59000000000000000000000000000000000000000
χ778-80800-800-2025−2520000-200000025−2520000000000−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ59000000000000000000000000000000000000000
χ788-80-4004008000-80000-40000000040000−4i34i300000000000000000000000000000000000000000000000
χ798-80-4004008000-80000-400000000400004i3−4i300000000000000000000000000000000000000000000000
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.