Finite Group Databasebeta

← Group #14291155

Character table — Group #14291155

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222444444444444444444488888888888888888881616161616161616161616161616242424242424242424244040404040404040404040404848484848120120120120
order1222355666101010101010444121212121515202020203030303030304412202020206060606060606060606060601212202020206060606060606060884040404040404040888824242424242424244202020202244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ611111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-11-11
χ711111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-11-11
χ811111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-1
χ922222222222222222-2-2-2-2-2-22222222222222-22-2-2-2-22222-2-2-2-2-2-2-2-22-222-2-22222-2-2-2-20000000000000000000000000000000
χ1022222222222222222-2-2-2-2-2-2222222222222-222-2-2-2-22222-2-2-2-2-2-2-2-2-22-2-222-2-2-2-222220000000000000000000000000000000
χ112222222222222222-22-222-2-222-2-2-2-222222200-222-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000020-2
χ122222222222222222-22-222-2-222-2-2-2-222222200-222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000-202
χ132222222222222222-2-22-2-22222-2-2-2-222222200-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000020-20
χ142222222222222222-2-22-2-22222-2-2-2-222222200-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000-2020
χ1522222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+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+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000002−1−52−1−52−1+52−1+520000
χ1622222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52000000000000-21+521+521−521−520000
χ1722222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-21+521+521−521−520000
χ1822222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52-2-21+521+521+521+521−521−521−521−520000000000002−1−52−1−52−1+52−1+520000
χ1922222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−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+ζ580000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ2022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ14−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−ζ580000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ2122222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−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+ζ580000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ2222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ14−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−ζ580000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ2322222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000002−1+52−1+52−1−52−1−520000
χ2422222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000000000-21−521−521+521+520000
χ2522222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+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+52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-21−521−521+521+520000
χ2622222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+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+52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52-2-21−521−521−521−521+521+521+521+520000000000002−1+52−1+52−1−52−1−520000
χ2722222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ2+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+ζ460000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ2822222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−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−ζ460000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ2922222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ2+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+ζ460000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ3022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−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−ζ460000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ312222-122-1-1-1222222222-1-1-1-1-1-12222-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222-1-1-1-1-1-1-1-1000000000
χ322222-122-1-1-1222222222-1-1-1-1-1-12222-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2-2-211111111000000000
χ332222-122-1-1-1222222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-211111111000000000022-2-2-1-1-1-11111000000000
χ342222-122-1-1-1222222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2111111110000000000-2-2221111-1-1-1-1000000000
χ352222-122-1-1-12222222-2-21111-1-12222-1-1-1-1-1-12-2-1-2-2-2-2-1-1-1-111111111-1122-2-2-1-1-1-111110000000000000033−3−333−3−3000000000
χ362222-122-1-1-12222222-2-21111-1-12222-1-1-1-1-1-12-2-1-2-2-2-2-1-1-1-111111111-1122-2-2-1-1-1-1111100000000000000−3−333−3−333000000000
χ372222-122-1-1-12222222-2-21111-1-12222-1-1-1-1-1-1-22-1-2-2-2-2-1-1-1-1111111111-1-2-2221111-1-1-1-10000000000000033−3−3−3−333000000000
χ382222-122-1-1-12222222-2-21111-1-12222-1-1-1-1-1-1-22-1-2-2-2-2-1-1-1-1111111111-1-2-2221111-1-1-1-100000000000000−3−33333−3−3000000000
χ3944444−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-44-444-4-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+500-4−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000000
χ4044444−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-4-44-4-444−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+500-41+51−5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000
χ4144444−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-44-444-4-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−500-4−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000000
χ4244444−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-4-44-4-444−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−500-41−51+5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000
χ434444-244-2-2-2444444-44-4-2-222-2-2-4-4-4-4-2-2-2-2-2-200244-4-42222-2-2-2-22222000000000000000000000000000000000000000000000
χ444444-244-2-2-2444444-4-4422-2-2-2-2-4-4-4-4-2-2-2-2-2-2002-4-44422222222-2-2-2-2000000000000000000000000000000000000000000000
χ454444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5444-2-2-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−5244-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−52-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−520000000000000000000000000000000
χ464444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5444-2-2-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−52-4-4-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−52221+51−51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000
χ474444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+54-4-422221+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−524-4-21+51−51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000
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χ918-88-8-4−2−25−2+254-44−2−252+25−2+252−252+252−2500000−43431+51−50000−1−5−1+51+5−1−51−5−1+50000000000000002ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47000000000000000000000000000000000000000000000
χ928-88-8-4−2+25−2−254-44−2+252−25−2−252+252−252+250000043−431−51+50000−1+5−1−51−5−1+51+5−1−50000000000000002ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59000000000000000000000000000000000000000000000
χ938-88-8-4−2+25−2−254-44−2+252−25−2−252+252−252+2500000−43431−51+50000−1+5−1−51−5−1+51+5−1−5000000000000000−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59000000000000000000000000000000000000000000000
χ948-8-888−2−25−2+25-8-882+25−2−252−25−2+252+252−250000000−2−25−2+2500002+252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000
χ958-8-888−2+25−2−25-8-882−25−2+252+25−2−252−252+250000000−2+25−2−2500002−252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4−2−25−2+2544-42+25−2−252−25−2+252+252−2500043−43001+51−50000−1−5−1+5−1−51+5−1+51−500000000000−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000000
χ978-8-88-4−2−25−2+2544-42+25−2−252−25−2+252+252−25000−4343001+51−50000−1−5−1+5−1−51+5−1+51−5000000000002ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000000000
χ988-8-88-4−2+25−2−2544-42−25−2+252+25−2−252−252+2500043−43001−51+50000−1+5−1−5−1+51−5−1−51+5000000000002ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000000000000
χ998-8-88-4−2+25−2−2544-42−25−2+252+25−2−252−252+25000−4343001−51+50000−1+5−1−5−1+51−5−1−51+500000000000−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000000000

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