Finite Group Databasebeta

← Group #14302791

Character table — Group #14302791

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222224444444444444444888888888888888888888888881010101016161616161616161616161620202020202040404040404040406060606060606060120120120120
order1223446664451010101212151530303030303044121212121212202020202020606060606060606060606060224420202020606060606060606022661212446612121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111iiii−i−i−i−i−i−iii
χ81111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−iiiiiii−i−i
χ9111111111-1-1111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111111-1-1-1-1-11111-1-111-1-11-11-1
χ10111111111-1-1111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111111-1-1-1-1-111-1-111-1-111-11-11
χ11111111111-1-1111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111111-1-1ii−i−i−i−iiii−i−ii
χ12111111111-1-1111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111111-1-1−i−iiiii−i−i−iii−i
χ13111111111-1-111111111111111-1111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-11-11
χ14111111111-1-111111111111111-1111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-111-1-1111-11-1
χ15111111111-1-111111111111111-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111ii−i−i−i−iii−iii−i
χ16111111111-1-111111111111111-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111−i−iiiii−i−ii−i−ii
χ172222-2-22222-22222-2-22222222200002-2000000-2-200000000-2-2-2-222-2-22-20022-2-200002-222-2-2002-20000000000000000
χ182222-2-22222-22222-2-22222222200002-2000000-2-200000000-2-2-2-2-2-2222-20022-2-20000-22-2-22200-220000000000000000
χ192222-2-2222-222222-2-2222222220000-22000000-2-200000000-2-2-2-222-2-2-2200-2-2220000-2222-2-200-220000000000000000
χ202222-2-2222-222222-2-2222222220000-22000000-2-200000000-2-2-2-2-2-222-2200-2-22200002-2-2-222002-20000000000000000
χ21222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000
χ22222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2111111000000000000
χ23222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-211-1-111-2-2-2-22211111111-1-1-1-1222222-2-2-1-1-1-1111122-1-1-1-1-2-2-1-11111000000000000
χ24222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-211-1-111-2-2-2-22211111111-1-1-1-1-2-2-2-222-2-2-1-1-1-11111-2-211112211-1-1-1-1000000000000
χ25222-122-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-12-21111-1-1-2-2-2-22211111111-1-1-1-12222-2-2221111-1-1-1-1-2-2-1-1-1-12-21111-1-1000000000000
χ26222-122-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-12-21111-1-1-2-2-2-22211111111-1-1-1-1-2-2-2-2-2-2221111-1-1-1-1221111-22-1-1-1-111000000000000
χ27222-122-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-22-1-11111222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-2-2-1-1-1-1-2211-1-111000000000000
χ28222-122-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-22-1-11111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112211112-2-1-111-1-1000000000000
χ29222-1-2-2-1-1-12-2222211-1-1-1-1-1-1-1-100−i3i3-11−i3i30000-2-2−i3−i3−i3−i3i3i3i3i3111122-2-22-200-1-111−i3−i3i3i32-2-1-11100-11−i3i3−i3i3000000000000
χ30222-1-2-2-1-1-12-2222211-1-1-1-1-1-1-1-100−i3i3-11−i3i30000-2-2−i3−i3−i3−i3i3i3i3i31111-2-2222-200-1-111−i3−i3i3i3-2211-1-1001-1i3−i3i3−i3000000000000
χ31222-1-2-2-1-1-12-2222211-1-1-1-1-1-1-1-100i3−i3-11i3−i30000-2-2i3i3i3i3−i3−i3−i3−i3111122-2-22-200-1-111i3i3−i3−i32-2-1-11100-11i3−i3i3−i3000000000000
χ32222-1-2-2-1-1-12-2222211-1-1-1-1-1-1-1-100i3−i3-11i3−i30000-2-2i3i3i3i3−i3−i3−i3−i31111-2-2222-200-1-111i3i3−i3−i3-2211-1-1001-1−i3i3−i3i3000000000000
χ33222-1-2-2-1-1-1-22222211-1-1-1-1-1-1-1-100−i3i31-1i3−i30000-2-2−i3−i3−i3−i3i3i3i3i3111122-2-2-220011-1-1i3i3−i3−i3-22-1-111001-1−i3i3i3−i3000000000000
χ34222-1-2-2-1-1-1-22222211-1-1-1-1-1-1-1-100−i3i31-1i3−i30000-2-2−i3−i3−i3−i3i3i3i3i31111-2-222-220011-1-1i3i3−i3−i32-211-1-100-11i3−i3−i3i3000000000000
χ35222-1-2-2-1-1-1-22222211-1-1-1-1-1-1-1-100i3−i31-1−i3i30000-2-2i3i3i3i3−i3−i3−i3−i3111122-2-2-220011-1-1−i3−i3i3i3-22-1-111001-1i3−i3−i3i3000000000000
χ36222-1-2-2-1-1-1-22222211-1-1-1-1-1-1-1-100i3−i31-1−i3i30000-2-2i3i3i3i3−i3−i3−i3−i31111-2-222-220011-1-1−i3−i3i3i32-211-1-100-11−i3i3i3−i3000000000000
χ3722-222-2-2-22002-2-222-222-2-2-2-2220000000000002-20000000022-2-22-22-2000000000000002-22-200000000002i−2i002i−2i0000
χ3822-222-2-2-22002-2-222-222-2-2-2-2220000000000002-20000000022-2-22-22-2000000000000002-22-20000000000−2i2i00−2i2i0000
χ3922-222-2-2-22002-2-222-222-2-2-2-2220000000000002-20000000022-2-2-22-2200000000000000-22-2200000000002-200-220000
χ4022-222-2-2-22002-2-222-222-2-2-2-2220000000000002-20000000022-2-2-22-2200000000000000-22-220000000000-22002-20000
χ4122-22-22-2-22002-2-22-2222-2-2-2-222000000000000-2200000000-2-2222-2-22000000000000002-2-22000000002-2002-2000000
χ4222-22-22-2-22002-2-22-2222-2-2-2-222000000000000-2200000000-2-2222-2-22000000000000002-2-2200000000-2200-22000000
χ4322-22-22-2-22002-2-22-2222-2-2-2-222000000000000-2200000000-2-222-222-200000000000000-222-2000000002i−2i00−2i2i000000
χ4422-22-22-2-22002-2-22-2222-2-2-2-222000000000000-2200000000-2-222-222-200000000000000-222-200000000−2i2i002i−2i000000
χ4544444444444-1-1-1-144-1-1-1-1-1-1-1-144444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ4644444444444-1-1-1-144-1-1-1-1-1-1-1-1-4-4-4-444-4-41111-1-111111111-1-1-1-10000-1-111-1-1-1-1111100000000000000000000000000
χ47444444444-4-4-1-1-1-144-1-1-1-1-1-1-1-14-4-4-4-4-4441111-1-111111111-1-1-1-1000011-1-11111-1-1-1-100000000000000000000000000
χ48444444444-4-4-1-1-1-144-1-1-1-1-1-1-1-1-4444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111111100000000000000000000000000
χ494444-4-44444-4-1-1-1-1-4-4-1-1-1-1-1-1-1-100004-400−5−55511−5−555−5−55511110000-11−55-1-111−55−5500000000000000000000000000
χ504444-4-44444-4-1-1-1-1-4-4-1-1-1-1-1-1-1-100004-40055−5−51155−5−555−5−511110000-115−5-1-1115−55−500000000000000000000000000
χ514444-4-4444-44-1-1-1-1-4-4-1-1-1-1-1-1-1-10000-4400−5−55511−5−555−5−555111100001-15−511-1-15−55−500000000000000000000000000
χ524444-4-4444-44-1-1-1-1-4-4-1-1-1-1-1-1-1-10000-440055−5−51155−5−555−5−5111100001-1−5511-1-1−55−5500000000000000000000000000
χ53444-244-2-2-244-1-1-1-1-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15244-2-2-2-2-2-2-1-1-1-1-1-11−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521−i1521+i1520000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i15200000000000000000000000000
χ54444-244-2-2-244-1-1-1-1-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152-4-422-2-2221111-1-1−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1521−i1521+i1521−i1521+i1520000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1−i152−1+i15200000000000000000000000000
χ55444-244-2-2-244-1-1-1-1-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15244-2-2-2-2-2-2-1-1-1-1-1-11+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521+i1521−i1520000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i15200000000000000000000000000
χ56444-244-2-2-244-1-1-1-1-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152-4-422-2-2221111-1-1−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i1521+i1521−i1521+i1521−i1520000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1+i152−1−i15200000000000000000000000000
χ57444-244-2-2-2-4-4-1-1-1-1-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1524-42222-2-21111-1-1−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1521−i1521+i1521−i1521+i152000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521+i1521−i15200000000000000000000000000
χ58444-244-2-2-2-4-4-1-1-1-1-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152-44-2-22222-1-1-1-1-1-11−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521−i1521+i15200001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1−i152−1+i15200000000000000000000000000
χ59444-244-2-2-2-4-4-1-1-1-1-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1524-42222-2-21111-1-1−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i1521+i1521−i1521+i1521−i152000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521−i1521+i15200000000000000000000000000
χ60444-244-2-2-2-4-4-1-1-1-1-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152-44-2-22222-1-1-1-1-1-11+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521+i1521−i15200001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1+i152−1−i15200000000000000000000000000
χ61444-2-4-4-2-2-24-4-1-1-1-1221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200−2i32i3-22−2i32i355−5−511ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−1+i152−1−i152−1+i152−1−i1520000-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000000000000000000
χ62444-2-4-4-2-2-24-4-1-1-1-1221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152002i3−2i3-222i3−2i3−5−55511−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−1+i152−1−i152−1+i152−1−i1520000-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000000000000000000
χ63444-2-4-4-2-2-24-4-1-1-1-1221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200−2i32i3-22−2i32i3−5−55511ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−1−i152−1+i152−1−i152−1+i1520000-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000000000000000000
χ64444-2-4-4-2-2-24-4-1-1-1-1221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152002i3−2i3-222i3−2i355−5−511−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−1−i152−1+i152−1−i152−1+i1520000-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000000000000000000
χ65444-2-4-4-2-2-2-44-1-1-1-1221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200−2i32i32-22i3−2i355−5−511ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−1+i152−1−i152−1+i152−1−i15200001-1−55−1+i152−1−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000000000000000000
χ66444-2-4-4-2-2-2-44-1-1-1-1221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152002i3−2i32-2−2i32i3−5−55511−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−1+i152−1−i152−1+i152−1−i15200001-15−5−1+i152−1−i1521−i1521+i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000000000000000000
χ67444-2-4-4-2-2-2-44-1-1-1-1221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200−2i32i32-22i3−2i3−5−55511ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−1−i152−1+i152−1−i152−1+i15200001-15−5−1−i152−1+i1521+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000000000000000000
χ68444-2-4-4-2-2-2-44-1-1-1-1221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152002i3−2i32-2−2i32i355−5−511−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−1−i152−1+i152−1−i152−1+i15200001-1−55−1−i152−1+i1521+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000000000000000000
χ6944-4-24-422-2004-4-44-22-2-22222-2-20000000000004-400000000-2-2224-44-400000000000000-22-2200000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.