Finite Group Databasebeta

← Group #91304

Character table — Group #91304

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size112222222222222224444444444444444444444121212121212121212122020202020206060
order12234455610101010101012126121515202020203030303030306060606060606060221010101010101010882424242424
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-11-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-11-111-1-11-1
χ611-11-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-11-1-111-11
χ711-11-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-111111-111-1-1-11
χ811-11-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-11-1-1111-1
χ9222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ10222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000
χ11222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ12222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000
χ132222-2-2222222222-2-22-222-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000000000
χ142222-2-2−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000
χ152222-2-2−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000
χ162222-2-2−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600000000
χ172222-2-2−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600000000
χ18222-12222-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-100
χ19222-12222-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2111100
χ20222-1-2-222-122222211-11-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000003−33−300
χ21222-1-2-222-122222211-11-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000−33−3300
χ2222-222-2222-2-2-2-222-2-2-2222-2-222-2-2-2-222-2-2-2-22222000000000000000000
χ2322-222-2−1−52−1+5221+521+521−521−52−1−52−1+52-2-2-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000
χ2422-222-2−1−52−1+5221+521+521−521−52−1−52−1+52-2-2-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000
χ2522-222-2−1+52−1−5221−521−521+521+52−1+52−1−52-2-2-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600000000
χ2622-222-2−1+52−1−5221−521−521+521+52−1+52−1−52-2-2-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600000000
χ2722-22-22−1−52−1+5221+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ2822-22-22−1−52−1+5221+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ2922-22-22−1+52−1−5221−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ3022-22-22−1+52−1−5221−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ3122-2-12-222-1-2-2-2-222111-1-1-1-2-2221111-1-11111-1-1-1-10000000000003−3−3300
χ3222-2-12-222-1-2-2-2-222111-1-1-1-2-2221111-1-11111-1-1-1-1000000000000−333−300
χ3322-2-1-2222-1-2-2-2-222-1-111-1-122-2-21111-1-1-1-1-1-1111100000000002-2-1-11100
χ3422-2-1-2222-1-2-2-2-222-1-111-1-122-2-21111-1-1-1-1-1-111110000000000-2211-1-100
χ35444-244−1−5−1+5-2−1−5−1−5−1+5−1+5−1−5−1+5-2-2-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−521+521+521−521−521+521+521−521−52000000000000000000
χ36444-244−1+5−1−5-2−1+5−1+5−1−5−1−5−1+5−1−5-2-2-2-21−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521+521−521−521+521+521−521−521+521+52000000000000000000
χ37444-2-4-4−1−5−1+5-2−1−5−1−5−1+5−1+5−1−5−1+522-221+521−521+51−51+51−51+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ38444-2-4-4−1+5−1−5-2−1+5−1+5−1−5−1−5−1+5−1−522-221−521+521−51+51−51+51−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ3944-4-24-4−1−5−1+5-21+51+51−51−5−1−5−1+5222-21+521−521+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ4044-4-24-4−1+5−1−5-21−51−51+51+5−1+5−1−5222-21−521+521−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ4144-4-2-44−1−5−1+5-21+51+51−51−5−1−5−1+5-2-2221+521−52−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ4244-4-2-44−1+5−1−5-21−51−51+51+5−1+5−1−5-2-2221−521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ434-4040044-40000-4-400004400000000-4-400000000000000000000000000
χ444-40400−1−5−1+5-4−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51−50000−1−5−1+50000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51−500000000000000000000000000
χ454-40400−1−5−1+5-42ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+51−50000−1−5−1+500002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+51−500000000000000000000000000
χ464-40400−1+5−1−5-42ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+50000−1+5−1−500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+500000000000000000000000000
χ474-40400−1+5−1−5-4−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+50000−1+5−1−50000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+500000000000000000000000000
χ484-40-2004420000-4-423−2300-2-2000000002223−2323−230000000000000000000000
χ494-40-2004420000-4-4−232300-2-20000000022−2323−23230000000000000000000000
χ504-40-200−1−5−1+52−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51−523−23001+521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000
χ514-40-200−1−5−1+52−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51−5−2323001+521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000
χ524-40-200−1−5−1+522ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+51−523−23001+521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000
χ534-40-200−1−5−1+522ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+51−5−2323001+521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000
χ544-40-200−1+5−1−522ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+523−23001−521+520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000
χ554-40-200−1+5−1−522ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+5−2323001−521+520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000
χ564-40-200−1+5−1−52−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+523−23001−521+520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000
χ574-40-200−1+5−1−52−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+5−2323001−521+520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000

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