Finite Group Databasebeta

← Group #92011

Character table — Group #92011

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222662244444121222444441212551010101010303011222226622444441212224444412125510101010103030
order123461212225101520306060101051015203060601010226461212222264612122210103020306060101010103020306060101022646121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ3111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1
χ4111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11
χ522-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100
χ622-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100
χ72-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-20000
χ82-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300
χ92-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−3300
χ10111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111
χ12111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11
χ13111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1
χ1422-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-21110022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100
χ1522-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-10022-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100
χ162-220-200002-220-200002-220-20000-22-20200002-220-200002-220-200002-220-20000-22-2020000
χ172-2-1013−3002-2-1013−3002-2-1013−300-2210-1−33002-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300
χ182-2-101−33002-2-101−33002-2-101−3300-2210-13−3002-2-101−33002-2-101−33002-2-101−3300-2210-13−300
χ19222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000
χ202222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+520000000002222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52000000000
χ21222-22-2-22-2−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52000000000222-22-2-22-2−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52000000000
χ22222-22-2-2-22−1+52−1+52−1+521−52−1+521−521−521−52−1+52−1−52−1−52−1−521+52−1−521+521+521+52−1−52000000000222-22-2-2-22−1+52−1+52−1+521−52−1+521−521−521−52−1+52−1−52−1−52−1−521+52−1−521+521+521+52−1−52000000000
χ2344-24-2-2-200−1+5−1+51−52−1+51−521−521−5200−1−5−1−51+52−1−51+521+521+520000000000044-24-2-2-200−1+5−1+51−52−1+51−521−521−5200−1−5−1−51+52−1−51+521+521+5200000000000
χ2444-2-4-22200−1+5−1+51−521−51−52−1+52−1+5200−1−5−1−51+521+51+52−1−52−1−520000000000044-2-4-22200−1+5−1+51−521−51−52−1+52−1+5200−1−5−1−51+521+51+52−1−52−1−5200000000000
χ254-440-40000−1+51−5−1+501−50000−1−51+5−1−501+500000000000004-440-40000−1+51−5−1+501−50000−1−51+5−1−501+50000000000000
χ264-4-20223−2300−1+51−51−520−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700−1−51+51+520−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000004-4-20223−2300−1+51−51−520−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700−1−51+51+520−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000
χ274-4-202−232300−1+51−51−520−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−1−51+51+520−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000004-4-202−232300−1+51−51−520−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−1−51+51+520−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000
χ28222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000
χ292222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−520000000002222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52000000000
χ30222-22-2-22-2−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52000000000222-22-2-22-2−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52000000000
χ31222-22-2-2-22−1−52−1−52−1−521+52−1−521+521+521+52−1−52−1+52−1+52−1+521−52−1+521−521−521−52−1+52000000000222-22-2-2-22−1−52−1−52−1−521+52−1−521+521+521+52−1−52−1+52−1+52−1+521−52−1+521−521−521−52−1+52000000000
χ3244-24-2-2-200−1−5−1−51+52−1−51+521+521+5200−1+5−1+51−52−1+51−521−521−520000000000044-24-2-2-200−1−5−1−51+52−1−51+521+521+5200−1+5−1+51−52−1+51−521−521−5200000000000
χ3344-2-4-22200−1−5−1−51+521+51+52−1−52−1−5200−1+5−1+51−521−51−52−1+52−1+520000000000044-2-4-22200−1−5−1−51+521+51+52−1−52−1−5200−1+5−1+51−521−51−52−1+52−1+5200000000000
χ344-440-40000−1−51+5−1−501+50000−1+51−5−1+501−500000000000004-440-40000−1−51+5−1−501+50000−1+51−5−1+501−50000000000000
χ354-4-20223−2300−1−51+51+520−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−1+51−51−520−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000004-4-20223−2300−1−51+51+520−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−1+51−51−520−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000
χ364-4-202−232300−1−51+51+520−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−1+51−51−520−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000004-4-202−232300−1−51+51+520−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−1+51−51−520−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ39111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11
χ40111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1
χ4122-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-211100-2-21-211100-2-21-211100
χ4222-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-100
χ432-220-200002-220-200002-220-200002-220-20000-22-2020000-22-2020000-22-2020000-22-2020000
χ442-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−3300-2210-1−3300-2210-1−3300
χ452-2-101−33002-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−300-2210-13−300-2210-13−300
χ46111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ471111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ48111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11111-11-1-11-1
χ49111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1111-11-1-1-11
χ5022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-211100-2-21-211100-2-21-21110022-12-1-1-100
χ5122-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-10022-1-2-11100
χ522-220-200002-220-200002-220-20000-22-2020000-22-2020000-22-2020000-22-20200002-220-20000
χ532-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−3300-2210-1−3300-2210-1−33002-2-1013−300
χ542-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−300-2210-13−300-2210-13−3002-2-101−3300
χ55222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000-2-2-2-2-2-2-2-2-21−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+52000000000
χ562222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52000000000-2-2-2-2-2-2-2221−521−521−521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+52−1−52−1−52000000000
χ57222-22-2-22-2−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52000000000-2-2-22-222-221−521−521−52−1+521−52−1+52−1+521−52−1+521+521+521+52−1−521+52−1−52−1−521+52−1−52000000000
χ58222-22-2-2-22−1+52−1+52−1+521−52−1+521−521−521−52−1+52−1−52−1−52−1−521+52−1−521+521+521+52−1−52000000000-2-2-22-2222-21−521−521−52−1+521−52−1+52−1+52−1+521−521+521+521+52−1−521+52−1−52−1−52−1−521+52000000000
χ5944-24-2-2-200−1+5−1+51−52−1+51−521−521−5200−1−5−1−51+52−1−51+521+521+5200000000000-4-42-4222001−51−5−1+521−5−1+52−1+52−1+52001+51+5−1−521+5−1−52−1−52−1−5200000000000
χ6044-2-4-22200−1+5−1+51−521−51−52−1+52−1+5200−1−5−1−51+521+51+52−1−52−1−5200000000000-4-4242-2-2001−51−5−1+52−1+5−1+521−521−52001+51+5−1−52−1−5−1−521+521+5200000000000
χ614-440-40000−1+51−5−1+501−50000−1−51+5−1−501+50000000000000-44-40400001−5−1+51−50−1+500001+5−1−51+50−1−50000000000000
χ624-4-20223−2300−1+51−51−520−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700−1−51+51+520−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000-4420-2−2323001−5−1+5−1+5201−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47001+5−1−5−1−5201+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000
χ634-4-202−232300−1+51−51−520−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700−1−51+51+520−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000-4420-223−23001−5−1+5−1+5201−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47001+5−1−5−1−5201+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000
χ64222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000-2-2-2-2-2-2-2-2-21+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−52000000000
χ652222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52000000000-2-2-2-2-2-2-2221+521+521+521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−52−1+52−1+52000000000
χ66222-22-2-22-2−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52000000000-2-2-22-222-221+521+521+52−1−521+52−1−52−1−521+52−1−521−521−521−52−1+521−52−1+52−1+521−52−1+52000000000
χ67222-22-2-2-22−1−52−1−52−1−521+52−1−521+521+521+52−1−52−1+52−1+52−1+521−52−1+521−521−521−52−1+52000000000-2-2-22-2222-21+521+521+52−1−521+52−1−52−1−52−1−521+521−521−521−52−1+521−52−1+52−1+52−1+521−52000000000
χ6844-24-2-2-200−1−5−1−51+52−1−51+521+521+5200−1+5−1+51−52−1+51−521−521−5200000000000-4-42-4222001+51+5−1−521+5−1−52−1−52−1−52001−51−5−1+521−5−1+52−1+52−1+5200000000000
χ6944-2-4-22200−1−5−1−51+521+51+52−1−52−1−5200−1+5−1+51−521−51−52−1+52−1+5200000000000-4-4242-2-2001+51+5−1−52−1−5−1−521+521+52001−51−5−1+52−1+5−1+521−521−5200000000000
χ704-440-40000−1−51+5−1−501+50000−1+51−5−1+501−50000000000000-44-40400001+5−1−51+50−1−500001−5−1+51−50−1+50000000000000
χ714-4-20223−2300−1−51+51+520−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900−1+51−51−520−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000-4420-2−2323001+5−1−5−1−5201+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59001−5−1+5−1+5201−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000
χ724-4-202−232300−1−51+51+520−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900−1+51−51−520−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000-4420-223−23001+5−1−5−1−5201+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59001−5−1+5−1+5201−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000

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