Finite Group Databasebeta

← Group #14316749

Character table — Group #14316749

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222224444444444444444444488888888888888888888888888161616161616161616161624242424242424242424484848484860606060808080808080120120
order122355610102244461010101010101515303030303030466101012121220202020202030303030606060606060606012202030306060606060602410101010202020204202020204444481212242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111-1-11111111111111111-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-111-1-11-111-1-1-11
χ611111111111-1-11111111111111111-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-111-11-1-1111-1
χ711111111111-1-11111111111111111-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-111-11
χ811111111111-1-11111111111111111-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111-111-1-11-1
χ92222222222-222-2222222222222222-22-2-2-222-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000
χ102222222222-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222-2-22222-2-2000000000000000000000000000
χ11222222222-2200-2222-2-2-2-2222222220-222200-2-2-20000-2-2-2-200000000000220000-2-200000000000000022000000000-2
χ12222222222-2200-2222-2-2-2-2222222220-222200-2-2-20000-2-2-2-200000000000220000-2-2000000000000000-2-20000000002
χ13222222222-2-2002222-2-2-2-2222222220-2-2-2-2002220000-2-2-2-200000000000-2-20000220000000000000000022000000-20
χ14222222222-2-2002222-2-2-2-2222222220-2-2-2-2002220000-2-2-2-200000000000-2-200002200000000000000000-2-200000020
χ152222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+522−1−52−1+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+522−1−52−1−52−1+52−1+52000000000000
χ162222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−52-21+521+521−521−52000000000000
χ172222−1−52−1+522−1−52−1+5222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1+52-2-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52000000000000
χ182222−1−52−1+522−1−52−1+5222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1+52-2-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+52-2-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+52000000000000
χ192222−1−52−1+522−1−52−1+522-222-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521−5222-21+521−52−1−52−1−52−1+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+52-21+521−521+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+ζ580−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000
χ202222−1−52−1+522−1−52−1+522-222-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521−5222-21+521−52−1−52−1−52−1+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+52-21+521−521+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−ζ580ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000
χ212222−1−52−1+522−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521−52-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1+521+521−52−1−52−1−52−1+52−1+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+ζ580ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000
χ222222−1−52−1+522−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-21+521−52-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1+521+521−52−1−52−1−52−1+52−1+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−ζ580−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000
χ232222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+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+52−1−52−1−522−1+52−1+52−1−52−1−52000000000000
χ242222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+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+52-21−521−521+521+52000000000000
χ252222−1+52−1−522−1+52−1−5222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1−52-2-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52000000000000
χ262222−1+52−1−522−1+52−1−5222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1−52-2-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−52-2-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−52000000000000
χ272222−1+52−1−522−1+52−1−522-222-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521+5222-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+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+ζ460ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000
χ282222−1+52−1−522−1+52−1−522-222-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521+5222-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+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−ζ460−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000
χ292222−1+52−1−522−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521+52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+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+ζ460−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000
χ302222−1+52−1−522−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-21−521+52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+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−ζ460ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000
χ31222-122-12222222-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000022-1-1-1-100
χ32222-122-12222222-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000000000000-2-2111100
χ33222-122-12222-2-22-1222222-1-1-1-1-1-1-1-1-2-1-12211-122-2-2-2-2-1-1-1-1111111111-2-2-1-11111-1-100000000000000000002-2-1-11100
χ34222-122-12222-2-22-1222222-1-1-1-1-1-1-1-1-2-1-12211-122-2-2-2-2-1-1-1-1111111111-2-2-1-11111-1-10000000000000000000-2211-1-100
χ35222-122-1222-222-2-1222222-1-1-1-1-1-1-1-1-2-11-2-2-1-11-2-22222-1-1-1-1-1-1-1-1-1-1-1-11-2-2111111110000000000000000000003−33−300
χ36222-122-1222-222-2-1222222-1-1-1-1-1-1-1-1-2-11-2-2-1-11-2-22222-1-1-1-1-1-1-1-1-1-1-1-11-2-211111111000000000000000000000−33−3300
χ37222-122-1222-2-2-2-2-1222222-1-1-1-1-1-1-1-12-11-2-2111-2-2-2-2-2-2-1-1-1-111111111-12211-1-1-1-1110000000000000000000003−3−3300
χ38222-122-1222-2-2-2-2-1222222-1-1-1-1-1-1-1-12-11-2-2111-2-2-2-2-2-2-1-1-1-111111111-12211-1-1-1-111000000000000000000000−333−300
χ394444−1−5−1+54−1−5−1+5-4400-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-44−1−5−1+500-41+51−500001+51+51−51−500000000000−1−5−1+500001+51−5000000000000000000000000000
χ404444−1−5−1+54−1−5−1+5-4-40044−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-4-41+51−5004−1−5−1+500001+51+51−51−5000000000001+51−50000−1−5−1+5000000000000000000000000000
χ414444−1+5−1−54−1+5−1−5-4400-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-44−1+5−1−500-41−51+500001−51−51+51+500000000000−1+5−1−500001−51+5000000000000000000000000000
χ424444−1+5−1−54−1+5−1−5-4-40044−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-4-41−51+5004−1+5−1−500001−51−51+51+5000000000001−51+50000−1+5−1−5000000000000000000000000000
χ43444-244-244-4400-4-244-4-4-4-4-2-2-2-2-2-2-2-202-244002-4-40000222200000000000-2-2000022000000000000000000000000000
χ44444-244-244-4-4004-244-4-4-4-4-2-2-2-2-2-2-2-2022-4-400-2440000222200000000000220000-2-2000000000000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+544444-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−524-2-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52-2−1−5−1+51+521−521+521+521−521−521+521−52000000000000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+544-4-44-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−52-4-2-2−1−5−1+522-2−1−5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+51−51+521−52−1−52−1−52−1+52−1+521+521−52000000000000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+54-444-4-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−52-4-221+51−5-2-221+51−5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−5221+51−5−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000000000000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+54-4-4-4-4-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−524-221+51−52221+51−51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−5−1+5−1−52−1+521+521+521−521−52−1−52−1+52000000000000000000000000000
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χ908-80-4−2+25−2−2542−252+25004i−4i000000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−500000−2i2i000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900002ζ43+2ζ47−2ζ43−2ζ472ζ7+2ζ23−2ζ7−2ζ232ζ31+2ζ59−2ζ31−2ζ592ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000
χ918-80-4−2+25−2−2542−252+25004i−4i000000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−500000−2i2i000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900002ζ7+2ζ23−2ζ7−2ζ232ζ43+2ζ47−2ζ43−2ζ472ζ11+2ζ19−2ζ11−2ζ192ζ31+2ζ59−2ζ31−2ζ5900000000000000000000000000000000000000
χ928-80-4−2+25−2−2542−252+2500−4i4i000000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−5000002i−2i0002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−2ζ43−2ζ472ζ43+2ζ47−2ζ7−2ζ232ζ7+2ζ23−2ζ31−2ζ592ζ31+2ζ59−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000
χ938-80-4−2+25−2−2542−252+2500−4i4i000000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5000002i−2i0002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−2ζ7−2ζ232ζ7+2ζ23−2ζ43−2ζ472ζ43+2ζ47−2ζ11−2ζ192ζ11+2ζ19−2ζ31−2ζ592ζ31+2ζ5900000000000000000000000000000000000000

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