Finite Group Databasebeta

← Group #14513442

Character table — Group #14513442

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222222244446666888812121212121212121616161616161616161616161616161616162020242424242424242424242424242424242424242460606060606080808080120120
order124424551010202020201010202022443612121010101020202020612151530303030303060606060606060602424881010101020202020404040404040404024444466121288
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ31111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511-1-1-111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-1-1111-1-111-1-11-1
χ611-1-1-111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-1-11-11-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-11
χ711-1-1-111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-111-11-11111-1-1-1-11111-1-1-1-11-1-1-111-1-111-11
χ811-1-1-111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-111111-111-1-1-1-1111-1
χ92222222222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000000000000000220000-1-1-1-100
χ102222222222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000000000000-2-20000111100
χ11222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002222−1−52−1−52−1+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+52000000000000
χ12222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ13222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002222−1+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+52−1−52−1−52000000000000
χ14222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ152222-2-222222222-2-2-2-22-2-222222-2-222-2-222-2-222-2-2-2-222-2-2-2-222220000000000000000000000000000000000
χ162222-2-222222222-2-2-2-22-2-22-1-1-1-1-2-222-2-22211-1-11111-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i300
χ172222-2-222222222-2-2-2-22-2-22-1-1-1-1-2-222-2-22211-1-11111-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i300
χ182222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−522-2-2222221+521−52−1−52−1+521+521−52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000−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+ζ58−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+ζ58000000000000
χ192222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−522-2-2222221+521−52−1−52−1+521+521−52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000ζ14−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−ζ58ζ14−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−ζ58000000000000
χ202222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+522-2-2222221−521+52−1+52−1−521−521+52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000ζ2+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+ζ46ζ2+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+ζ46000000000000
χ212222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+522-2-2222221−521+52−1+52−1−521−521+52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000−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−ζ46−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−ζ46000000000000
χ2222-2-22-22222-2-2-2-222-2-2-2-22222-2-2-2-2-2-222222-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ2322-2-22-22222-2-2-2-222-2-2-2-222-1-111-2-2-2-22222-11-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3i3i3−i300
χ2422-2-22-22222-2-2-2-222-2-2-2-222-1-111-2-2-2-22222-11-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3−i3−i3i300
χ2522-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−52-2-22222-2-21+521−521+521−52−1−52−1+52−1−52−1+522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000−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−ζ58−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−ζ58000000000000
χ2622-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−52-2-22222-2-21+521−521+521−52−1−52−1+52−1−52−1+522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000ζ14−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+ζ58ζ14−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+ζ58000000000000
χ2722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+52-2-22222-2-21−521+521−521+52−1+52−1−52−1+52−1−522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000ζ2+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−ζ46ζ2+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−ζ46000000000000
χ2822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+52-2-22222-2-21−521+521−521+52−1+52−1−52−1+52−1−522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000−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+ζ46−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+ζ46000000000000
χ2922-2-2-222222-2-2-2-2-2-222-22-22-1-11122-2-2-2-2221-1-1-11111-1-1-1-1-1-111112-200000000000000000000-220000-1-11100
χ3022-2-2-222222-2-2-2-2-2-222-22-22-1-11122-2-2-2-2221-1-1-11111-1-1-1-1-1-11111-22000000000000000000002-2000011-1-100
χ3122-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+52-22-2222-2-2−1−52−1+521+521−521+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ3222-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+52-22-2222-2-2−1−52−1+521+521−521+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ3322-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−52-22-2222-2-2−1+52−1−521−521+521−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ3422-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−52-22-2222-2-2−1+52−1−521−521+521−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ35333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000003311-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011
χ36333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000033-1-111-1-1-1-1-1-1-1-111111111-1-111110000-1-1
χ37333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000-3-311-1-111111111-1-1-1-1-1-1-1-11111110000-1-1
χ38333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000-3-3-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1000011
χ3933-3-3-333333-3-3-3-3-3-3331-11-10000-1-11111-1-10000000000000000003-31-1-111111-1-1-1-1-1-1-1-111111-1-1-11100001-1
χ4033-3-3-333333-3-3-3-3-3-3331-11-10000-1-11111-1-10000000000000000003-3-111-1-1-1-1-111111111-1-1-1-11-111-1-10000-11
χ4133-3-3-333333-3-3-3-3-3-3331-11-10000-1-11111-1-1000000000000000000-331-1-111111-1-1-1-1-1-1-1-11111-1111-1-10000-11
χ4233-3-3-333333-3-3-3-3-3-3331-11-10000-1-11111-1-1000000000000000000-33-111-1-1-1-1-111111111-1-1-1-1-11-1-11100001-1
χ43444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+54444-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−520000000000000000000000000000000000
χ44444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−54444-2-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+520000000000000000000000000000000000
χ454444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−54-4-44-2-2-2-21+51−5−1−5−1+51+51−5−1−5−1+5221+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
χ464444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51+54-4-44-2-2-2-21−51+5−1+5−1−51−51+5−1+5−1−5221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000
χ4744-4-44-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5-4-444-2-2221+51−51+51−5−1−5−1+5−1−5−1+5-221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ4844-4-44-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5-4-444-2-2221−51+51−51+5−1+5−1−5−1+5−1−5-221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ4944-4-4-44−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+5-44-44-2-222−1−5−1+51+51−51+51−5−1−5−1+52-21+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ5044-4-4-44−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−5-44-44-2-222−1+5−1−51−51+51−51+5−1+5−1−52-21−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ514-44i−4i0044-4-44i−4i4i−4i00000000-222i−2i0000000000-2-200002200002i−2i2i−2i0000000000000000000000002i−2i2-2000000
χ524-44i−4i0044-4-44i−4i4i−4i00000000-222i−2i0000000000-2-200002200002i−2i2i−2i000000000000000000000000−2i2i-22000000
χ534-4−4i4i0044-4-4−4i4i−4i4i00000000-22−2i2i0000000000-2-20000220000−2i2i−2i2i0000000000000000000000002i−2i-22000000
χ544-4−4i4i0044-4-4−4i4i−4i4i00000000-22−2i2i0000000000-2-20000220000−2i2i−2i2i000000000000000000000000−2i2i2-2000000
χ55666666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352−3−352−3+352-2-2-2-200001+521−521+521−521+521−521+521−520000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ56666666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352−3−352−3+352-2-2-2-200001+521−521+521−521+521−521+521−5200000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ57666666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352−3+352−3−352-2-2-2-200001−521+521−521+521−521+521−521+520000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.