Finite Group Databasebeta

← Group #14303116

Character table — Group #14303116

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222244444488888888888888888888888881010101012122020202020202020244040404040404040404040404048484848606060606060120120120
order122223666566101010410101212152020202030303030303030606060606060606044442488881212121244881212242424242424242410202020248888488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111-1-111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111111111111111111111111111111111-1-1-1-111ii−i−i-1-1-1-11-1i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i-1i−i
χ61111111111111111111111111111111111111111-1-1-1-111−i−iii-1-1-1-11-1−ii-1-1−i−i−i−iiiii1111-1-1−i−iii-1−ii
χ71111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1i−i-1-1iiii−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−ii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i1i−i
χ9111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-11-1-11111111-1-1-1
χ10111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1111-1-1111-1-1-1-1-111
χ11111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1111
χ12111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-111-1-111-111-1-1-111111-1-1
χ13111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-11−ii11ii−i−i−i−iii1-1-11-1-1ii−i−i1−ii
χ14111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-11i−i11−i−iiiii−i−i1-1-11-1-1−i−iii1i−i
χ15111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111−ii11ii−i−i−i−iii-111-111−i−iii-1i−i
χ16111111111111111-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-111i−i11−i−iiiii−i−i-111-111ii−i−i-1−ii
χ1722222-1-1-1-12-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222002222-1-1-1-10222-1-1-1-1-1-1-1-1-1-10000000000000
χ1822222-1-1-1-12-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-2-2-2-2-1-1-1-102-2-2-1-1111111110000000000000
χ1922222-1-1-1-12-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2002i2i−2i−2i11110-22i−2i11−i−i−i−iiiii0000000000000
χ2022222-1-1-1-12-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200−2i−2i2i2i11110-2−2i2i11iiii−i−i−i−i0000000000000
χ2122222-1-1-1-12-1-1222-22211-1-2-2-2-2-1-1-1-1-1-1-1111111112222002222-1-1-1-10-2-2-211-1-111-1-1110000000000000
χ2222222-1-1-1-12-1-1222-22211-1-2-2-2-2-1-1-1-1-1-1-111111111222200-2-2-2-2-1-1-1-10-2221111-1-111-1-10000000000000
χ2322222-1-1-1-12-1-1222-22211-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2002i2i−2i−2i111102−2i2i-1-1−i−iiiii−i−i0000000000000
χ2422222-1-1-1-12-1-1222-22211-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-200−2i−2i2i2i1111022i−2i-1-1ii−i−i−i−iii0000000000000
χ25222-2-222222-2-2-2-2202-2002000022-2-2-2-220000000022-2-20000002-22-2000000000000000000002i−2i2i−2i000
χ26222-2-222222-2-2-2-2202-2002000022-2-2-2-220000000022-2-20000002-22-200000000000000000000−2i2i−2i2i000
χ27222-2-222222-2-2-2-2202-2002000022-2-2-2-2200000000-2-222000000-22-22000000000000000000002-2-22000
χ28222-2-222222-2-2-2-2202-2002000022-2-2-2-2200000000-2-222000000-22-2200000000000000000000-222-2000
χ2922-22-22-2-2222-2-2-220-220020000-2-222-2-22000000002-22-2002i−2i2i−2i22-2-20000002i−2i002i−2i000000000000000
χ3022-22-22-2-2222-2-2-220-220020000-2-222-2-22000000002-22-200−2i2i−2i2i22-2-2000000−2i2i00−2i2i000000000000000
χ3122-22-22-2-2222-2-2-220-220020000-2-222-2-2200000000-22-22002-2-22-2-2220000002-200-22000000000000000
χ3222-22-22-2-2222-2-2-220-220020000-2-222-2-2200000000-22-2200-222-2-2-222000000-22002-2000000000000000
χ3322-22-2-111-12-11-2-220-22−i3i3-1000011-1-111-1−i3−i3−i3−i3i3i3i3i32-22-2002i−2i2i−2i-1-1110000−i3i3−ii3−3−ii3−30000000000000
χ3422-22-2-111-12-11-2-220-22−i3i3-1000011-1-111-1−i3−i3−i3−i3i3i3i3i32-22-200−2i2i−2i2i-1-1110000−i3i3i−i−33i−i−330000000000000
χ3522-22-2-111-12-11-2-220-22−i3i3-1000011-1-111-1−i3−i3−i3−i3i3i3i3i3-22-22002-2-2211-1-10000i3−i3-11−i3i31-1i3−i30000000000000
χ3622-22-2-111-12-11-2-220-22−i3i3-1000011-1-111-1−i3−i3−i3−i3i3i3i3i3-22-2200-222-211-1-10000i3−i31-1i3−i3-11−i3i30000000000000
χ3722-22-2-111-12-11-2-220-22i3−i3-1000011-1-111-1i3i3i3i3−i3−i3−i3−i32-22-2002i−2i2i−2i-1-1110000i3−i3−ii−33−ii−330000000000000
χ3822-22-2-111-12-11-2-220-22i3−i3-1000011-1-111-1i3i3i3i3−i3−i3−i3−i32-22-200−2i2i−2i2i-1-1110000i3−i3i−i3−3i−i3−30000000000000
χ3922-22-2-111-12-11-2-220-22i3−i3-1000011-1-111-1i3i3i3i3−i3−i3−i3−i3-22-22002-2-2211-1-10000−i3i3-11i3−i31-1−i3i30000000000000
χ4022-22-2-111-12-11-2-220-22i3−i3-1000011-1-111-1i3i3i3i3−i3−i3−i3−i3-22-2200-222-211-1-10000−i3i31-1−i3i3-11i3−i30000000000000
χ4122-2-222-2-222-222220-2-20020000-2-2-2-2222000000002-2-222-200002-2-2200000000000000200-2-220000000
χ4222-2-222-2-222-222220-2-20020000-2-2-2-2222000000002-2-22-2200002-2-2200000000000000-20022-20000000
χ4322-2-222-2-222-222220-2-20020000-2-2-2-222200000000-222-22-20000-222-200000000000000200-22-20000000
χ4422-2-222-2-222-222220-2-20020000-2-2-2-222200000000-222-2-220000-222-200000000000000-2002-220000000
χ45444444444-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000440000000040000000000000-1-1-1-1000000000
χ46444444444-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-400000000-400000000000001111000000000
χ47444444444-144-1-1-1-4-1-1-4-4-11111-1-1-1-1-1-1-11111111100004400000000-40000000000000-111-1000000000
χ48444444444-144-1-1-1-4-1-1-4-4-11111-1-1-1-1-1-1-1111111110000-4-400000000400000000000001-1-11000000000
χ49444-4-4-2-2-2-2422-4-4404-400-20000-2-22222-20000000044-4-4000000-22-22000000000000000000000000000
χ50444-4-4-2-2-2-2422-4-4404-400-20000-2-22222-200000000-4-4440000002-22-2000000000000000000000000000
χ5144-4-444-4-44-1-44-1-1-101100-1−5−5551111-1-1-1−5−555−5−55500004-40000000000000000000000-1−551000000000
χ5244-4-444-4-44-1-44-1-1-101100-1−5−5551111-1-1-1−5−555−5−5550000-44000000000000000000000015−5-1000000000
χ5344-4-444-4-44-1-44-1-1-101100-155−5−51111-1-1-155−5−555−5−500004-40000000000000000000000-15−51000000000
χ5444-4-444-4-44-1-44-1-1-101100-155−5−51111-1-1-155−5−555−5−50000-4400000000000000000000001−55-1000000000
χ5544-4-44-222-242-24440-4-400-200002222-2-2-2000000004-4-44000000-222-2000000000000000000000000000
χ5644-4-44-222-242-24440-4-400-200002222-2-2-200000000-444-40000002-2-22000000000000000000000000000
χ5788888-4-4-4-4-2-4-4-2-2-28-2-2-4-41-2-2-2-211111111111111100000000000000000000000000000000000000000
χ5888888-4-4-4-4-2-4-4-2-2-2-8-2-244122221111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ59888-8-88888-2-8-822-20-2200-20000-2-22222-20000000000000000000000000000000000000000000000000
χ60888-8-8-4-4-4-4-24422-20-22001000011-1-1-1-11−i15−i15i15i15i15i15−i15−i1500000000000000000000000000000000000000000
χ61888-8-8-4-4-4-4-24422-20-22001000011-1-1-1-11i15i15−i15−i15−i15−i15i15i1500000000000000000000000000000000000000000
χ6288-88-88-8-88-28-822-202-200-2000022-2-222-20000000000000000000000000000000000000000000000000
χ6388-88-8-444-4-2-4422-202-2−4i34i310000-1-111-1-11i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000000000000
χ6488-88-8-444-4-2-4422-202-24i3−4i310000-1-111-1-11−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000000000000
χ6588-8-88-444-4-24-4-2-2-2022001−25−252525-1-1-1-111155−5−555−5−500000000000000000000000000000000000000000
χ6688-8-88-444-4-24-4-2-2-20220012525−25−25-1-1-1-1111−5−555−5−55500000000000000000000000000000000000000000
χ678-8000800-880000-80000080000000000-80000000000000000000000000000000000000000000000000
χ688-8000800-8-200−2525200000-2−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000−25252−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000
χ698-8000800-8-200−2525200000-22ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000−252522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000
χ708-8000800-8-20025−25200000-22ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000025−2522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000
χ718-8000800-8-20025−25200000-2−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000025−252−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000
χ728-8000-4−4i34i3480000-800000-40000−4i34i3000040000000000000000000000000000000000000000000000000
χ738-8000-4−4i34i34-200−25252000001−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47i3−i3−i15i155−5-1−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ5900000000000000000000000000000000000000000
χ748-8000-4−4i34i34-200−252520000012ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47i3−i3−i15i155−5-1ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ5900000000000000000000000000000000000000000
χ758-8000-4−4i34i34-20025−2520000012ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59i3−i3i15−i15−55-1−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ5900000000000000000000000000000000000000000
χ768-8000-4−4i34i34-20025−252000001−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59i3−i3i15−i15−55-1ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ5900000000000000000000000000000000000000000
χ778-8000-44i3−4i3480000-800000-400004i3−4i3000040000000000000000000000000000000000000000000000000
χ788-8000-44i3−4i34-200−25252000001−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−i3i3i15−i155−5-1ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ5900000000000000000000000000000000000000000
χ798-8000-44i3−4i34-200−252520000012ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−i3i3i15−i155−5-1−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ5900000000000000000000000000000000000000000
χ808-8000-44i3−4i34-20025−2520000012ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−i3i3−i15i15−55-1−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ59ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ59−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ5900000000000000000000000000000000000000000
χ818-8000-44i3−4i34-20025−252000001−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−i3i3−i15i15−55-1ζ7+ζ11+ζ19−ζ23−ζ31−ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23+ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19+ζ23+ζ31−ζ43−ζ47−ζ59−ζ7−ζ11+ζ19−ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23+ζ31−ζ43+ζ47+ζ59−ζ7+ζ11+ζ19+ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11−ζ19−ζ23+ζ31+ζ43+ζ47−ζ59ζ7−ζ11+ζ19+ζ23−ζ31−ζ43−ζ47+ζ5900000000000000000000000000000000000000000

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