Finite Group Databasebeta

← Group #91549

Character table — Group #91549

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222222444444444444444444444446610101212121212121212122020202020303060
order122235566610101010101026610101010151530303030303030303030303030304422210101010202020204661212444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-111-1-111-1
χ61111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-11
χ71111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-11
χ81111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-1
χ922222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+5222002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ1022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-200-21+521+521−521−521+521+521−521−5200000000
χ1122222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522200-21+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ1222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2002−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ1322222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−5222002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1422222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52-2-200-21−521−521+521+521−521−521+521+5200000000
χ1522222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522200-21−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ1622222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2002−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ172222-122-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-1000
χ182222-122-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000-21111000
χ192222-122-1-1-1222222-211-2-2-2-2-1-1-1-1-1-1-1-1111111110022000000000-2-1-111000
χ202222-122-1-1-1222222-211-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-2000000000211-1-1000
χ2122-2-22222-2-22-22-2-2-20000000222-2-22-2-2000000000000000000000000002i−2i0
χ2222-2-22222-2-22-22-2-2-20000000222-2-22-2-200000000000000000000000000−2i2i0
χ232-22-2222-22-2-2-2-2-222000000022-22-2-22-2000000002-200000002-22-200000000
χ242-22-2222-22-2-2-2-2-222000000022-22-2-22-200000000-220000000-22-2200000000
χ252-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+521+52−1−521+521−52−1+521−52−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ582-2000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−521+52−1+521−5200000000
χ262-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+521+52−1−521+521−52−1+521−52−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58-22000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+52−1−521−52−1+5200000000
χ272-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1+521+52−1−521+521−52−1+521−52ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ582-2000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−521+52−1+521−5200000000
χ282-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1+521+52−1−521+521−52−1+521−52ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58-22000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+52−1−521−52−1+5200000000
χ292-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1−521−52−1+521−521+52−1−521+52ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ462-2000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+521−52−1−521+5200000000
χ302-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1−521−52−1+521−521+52−1−521+52ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46-22000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−52−1+521+52−1−5200000000
χ312-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1−521−52−1+521−521+52−1−521+52−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ462-2000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+521−52−1−521+5200000000
χ322-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1−521−52−1+521−521+52−1−521+52−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46-22000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−52−1+521+52−1−5200000000
χ332-2-22222-2-22-22-22-2-2000000022-2-22-2-2200000000002-200000000002-200000
χ342-2-22222-2-22-22-22-2-2000000022-2-22-2-220000000000-220000000000-2200000
χ352-2-22-12211-1-22-22-2-20−i3i30000-1-111-111-1−i3i3−i3i3−i3i3−i3i3002-20000000000-11−i3i3000
χ362-2-22-12211-1-22-22-2-20−i3i30000-1-111-111-1−i3i3−i3i3−i3i3−i3i300-2200000000001-1i3−i3000
χ372-2-22-12211-1-22-22-2-20i3−i30000-1-111-111-1i3−i3i3−i3i3−i3i3−i3002-20000000000-11i3−i3000
χ382-2-22-12211-1-22-22-2-20i3−i30000-1-111-111-1i3−i3i3−i3i3−i3i3−i300-2200000000001-1−i3i3000
χ394444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+54-2-2−1−5−1−5−1+5−1+51+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000
χ404444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-4221+51+51−51−51+521−521+521+521+521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000
χ414444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−54-2-2−1+5−1+5−1−5−1−51−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000
χ424444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-4221−51−51+51+51−521+521−521−521−521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000
χ4344-4-44−1−5−1+54-4-4−1−51+5−1+51−51+51−50000000−1−5−1+5−1−51+51+5−1+51−51−500000000000000000000000000000
χ4444-4-44−1+5−1−54-4-4−1+51−5−1−51+51−51+50000000−1+5−1−5−1+51−51−5−1−51+51+500000000000000000000000000000
χ4544-4-4-244-2224-44-4-4-40000000-2-2-222-22200000000000000000000000000000
χ4644-4-4-2−1−5−1+5-222−1−51+5−1+51−51+51−500000001+521−521+52−1−52−1−521−52−1+52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000
χ4744-4-4-2−1−5−1+5-222−1−51+5−1+51−51+51−500000001+521−521+52−1−52−1−521−52−1+52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000
χ4844-4-4-2−1+5−1−5-222−1+51−5−1−51+51−51+500000001−521+521−52−1+52−1+521+52−1−52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000
χ4944-4-4-2−1+5−1−5-222−1+51−5−1−51+51−51+500000001−521+521−52−1+52−1+521+52−1−52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000
χ504-44-4-2442-22-4-4-4-4440000000-2-22-222-2200000000000000000000000000000
χ514-44-4-2−1−5−1+52-221+51+51−51−5−1−5−1+5000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+521−52−1−521+52−1−52−1+521−52−1+52ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58000000000000000000000
χ524-44-4-2−1−5−1+52-221+51+51−51−5−1−5−1+50002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521−52−1−521+52−1−52−1+521−52−1+52−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000000
χ534-44-4-2−1+5−1−52-221−51−51+51+5−1+5−1−50002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521+52−1+521−52−1+52−1−521+52−1−52−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46000000000000000000000
χ544-44-4-2−1+5−1−52-221−51−51+51+5−1+5−1−5000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521+52−1+521−52−1+52−1−521+52−1−52ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46000000000000000000000
χ554-4-444−1−5−1+5-4-441+5−1−51−5−1+51+51−50000000−1−5−1+51+51+5−1−51−51−5−1+500000000000000000000000000000
χ564-4-444−1+5−1−5-4-441−5−1+51+5−1−51−51+50000000−1+5−1−51−51−5−1+51+51+5−1−500000000000000000000000000000
χ574-4-44-2−1−5−1+522-21+5−1−51−5−1+51+51−50−2i32i300001+521−52−1−52−1−521+52−1+52−1+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000
χ584-4-44-2−1−5−1+522-21+5−1−51−5−1+51+51−502i3−2i300001+521−52−1−52−1−521+52−1+52−1+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000
χ594-4-44-2−1+5−1−522-21−5−1+51+5−1−51−51+50−2i32i300001−521+52−1+52−1+521−52−1−52−1−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000
χ604-4-44-2−1+5−1−522-21−5−1+51+5−1−51−51+502i3−2i300001−521+52−1+52−1+521−52−1−52−1−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000

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