Finite Group Databasebeta

← Group #14313173

Character table — Group #14313173

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222244444444444444448888888888888888888888888888151516161616161616161616162424242430404040404848484848484848606060606080808080120
order122355610102244461010151530303030303046610101010121212202020202020303030306060606060606060441220203030606060606060448844488202020204040404022244121224244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ311111111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111-1-1111111111111-1111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1111-1-11111-1-1-1-11-1-11111-1-1-1
χ611111111111-1-1111111111111-1111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-111111-1-111-1-111-1
χ711111111111-1-1111111111111-1111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1111
χ811111111111-1-1111111111111-1111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-1-1-1-11111-111-1-111-1-11
χ91111111111-111-111111111111-11-111-1-111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1i−ii−i1i−ii−iii−i−iii−i−i-1111-1i−ii−i-1
χ101111111111-111-111111111111-11-111-1-111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−ii1−ii−ii−i−iii−i−iii-1111-1−ii−ii-1
χ111111111111-111-111111111111-11-111-1-111-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i-1−ii−iiii−i−iii−i−i1-1-1-11−ii−ii1
χ121111111111-111-111111111111-11-111-1-111-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii-1i−ii−i−i−iii−i−iii1-1-1-11i−ii−i1
χ131111111111-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1i−i−ii1i−i−iiii−i−i−i−iii-1-1-11-1i−i−ii1
χ141111111111-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1−iii−i1−iii−i−i−iiiii−i−i-1-1-11-1−iii−i1
χ151111111111-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1i−i−ii-1−iii−iii−i−i−i−iii111-11−iii−i-1
χ161111111111-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1−iii−i-1i−i−ii−i−iiiii−i−i111-11i−i−ii-1
χ17222222222-2200-2222222222220-22-2-22200-20000-2-2-2-2-2-20000000022000220000-2-200002000000000000-200-2200000
χ18222222222-2200-2222222222220-22-2-22200-20000-2-2-2-2-2-200000000-2-2000220000-2-20000-20000000000002002-200000
χ19222222222-2-2002222222222220-2-2-2-2-2-2002000022-2-2-2-20000000022000-2-200002200002000000000000200-2-200000
χ20222222222-2-2002222222222220-2-2-2-2-2-2002000022-2-2-2-200000000-2-2000-2-20000220000-2000000000000-2002200000
χ212222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+52002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222200000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ222222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+52002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2000001+521−521+521−521+521−521+521−520000000000
χ232222−1−52−1+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+52-222−1−52−1+52−1−52−1+52-2-221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200-21+521−52−1−52−1+521+521+521−521−52−1−52−1+5222-2-200000−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ242222−1−52−1+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+52-222−1−52−1+52−1−52−1+52-2-221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200-21+521−52−1−52−1+521+521+521−521−52−1−52−1+52-2-222000001+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ252222−1−52−1+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+52-22-2−1−52−1+521+521−5222-2−1−52−1−52−1+52−1+521+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+5200-21+521−521+521−521+521+521−521−521+521−522i−2i2i−2i00000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000000000
χ262222−1−52−1+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+52-22-2−1−52−1+521+521−5222-2−1−52−1−52−1+52−1+521+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+5200-21+521−521+521−521+521+521−521−521+521−52−2i2i−2i2i00000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000000000
χ272222−1−52−1+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+5222-2−1−52−1+521+521−52-2-2-21+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52002−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521−522i−2i−2i2i00000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000000000
χ282222−1−52−1+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+5222-2−1−52−1+521+521−52-2-2-21+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52002−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521−52−2i2i2i−2i00000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000000000
χ292222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222200000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ302222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2000001−521+521−521+521−521+521−521+520000000000
χ312222−1+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+52−1−52-222−1+52−1−52−1+52−1−52-2-221−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-21−521+52−1+52−1−521−521−521+521+52−1+52−1−5222-2-200000−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ322222−1+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+52−1−52-222−1+52−1−52−1+52−1−52-2-221−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-21−521+52−1+52−1−521−521−521+521+52−1+52−1−52-2-222000001−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ332222−1+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+52−1−52-22-2−1+52−1−521−521+5222-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-21−521+521−521+521−521−521+521+521−521+522i−2i2i−2i00000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000000000
χ342222−1+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+52−1−52-22-2−1+52−1−521−521+5222-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-21−521+521−521+521−521−521+521+521−521+52−2i2i−2i2i00000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000000000
χ352222−1+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+52−1−5222-2−1+52−1−521−521+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+52002−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+522i−2i−2i2i00000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000000000
χ362222−1+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+52−1−5222-2−1+52−1−521−521+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+52002−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+52−2i2i2i−2i00000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000000000
χ37222-122-12222222-122-1-1-1-1-1-1-1-12-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-122-1-1-1-1-1-1-1-10000022220000000000000-1-1-1-10
χ38222-122-12222222-122-1-1-1-1-1-1-1-12-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-122-1-1-1-1-1-1-1-100000-2-2-2-2000000000000011110
χ39222-122-12222-2-22-122-1-1-1-1-1-1-1-1-2-1-1222211-1-2-2-2-222-1-1-1-111111111001-2-2-1-11111-1-10000022-2-20000000000000-1-1110
χ40222-122-12222-2-22-122-1-1-1-1-1-1-1-1-2-1-1222211-1-2-2-2-222-1-1-1-111111111001-2-2-1-11111-1-100000-2-222000000000000011-1-10
χ41222-122-1222-222-2-122-1-1-1-1-1-1-1-1-2-1122-2-2-1-112222-2-2-1-1-1-1-1-1-1-1-1-1-1-1001-2-211111111000002i−2i2i−2i0000000000000−ii−ii0
χ42222-122-1222-222-2-122-1-1-1-1-1-1-1-1-2-1122-2-2-1-112222-2-2-1-1-1-1-1-1-1-1-1-1-1-1001-2-21111111100000−2i2i−2i2i0000000000000i−ii−i0
χ43222-122-1222-2-2-2-2-122-1-1-1-1-1-1-1-12-1122-2-2111-2-2-2-2-2-2-1-1-1-11111111100-12211-1-1-1-111000002i−2i−2i2i0000000000000−iii−i0
χ44222-122-1222-2-2-2-2-122-1-1-1-1-1-1-1-12-1122-2-2111-2-2-2-2-2-2-1-1-1-11111111100-12211-1-1-1-11100000−2i2i2i−2i0000000000000i−i−ii0
χ454444−1−5−1+54−1−5−1+5-4400-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-441+51−5−1−5−1+500-400001+51−51+51+51−51−50000000000000−1−5−1+500001+51−5000000000000000000000000000
χ464444−1−5−1+54−1−5−1+5-4-40044−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-4-41+51−51+51−50040000−1−5−1+51+51+51−51−500000000000001+51−50000−1−5−1+5000000000000000000000000000
χ474444−1+5−1−54−1+5−1−5-4400-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-441−51+5−1+5−1−500-400001−51+51−51−51+51+50000000000000−1+5−1−500001−51+5000000000000000000000000000
χ484444−1+5−1−54−1+5−1−5-4-40044−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-4-41−51+51−51+50040000−1+5−1−51−51−51+51+500000000000001−51+50000−1+5−1−5000000000000000000000000000
χ49444-244-244-4400-4-244-2-2-2-2-2-2-2-202-2-4-4440020000-4-422220000000000000-2-2000022000000000000000000000000000
χ50444-244-244-4-4004-244-2-2-2-2-2-2-2-2022-4-4-4-400-200004422220000000000000220000-2-2000000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+544444-2−1−5−1+51+521−521+521+521−521−521+521−524-2-2−1−5−1+5−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+51+521+521−521−521+521+521+521+521−521−521−521−5200-2−1−5−1+51+521−521+521+521−521−521+521−52000000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+544-4-44-2−1−5−1+51+521−521+521+521−521−521+521−52-4-2-2−1−5−1+5−1−5−1+522-21+51+51−51−5−1−5−1+51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520021+51−51+521−52−1−52−1−52−1+52−1+521+521−52000000000000000000000000000
χ53444-2−1−5−1+5-2−1−5−1+54-444-4-2−1−5−1+51+521−521+521+521−521−521+521−52-4-22−1−5−1+51+51−5-2-22−1−5−1−5−1+5−1+51+51−51+521+521−521−521+521+521+521+521−521−521−521−520021+51−5−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000000000000000000000000000
χ54444-2−1−5−1+5-2−1−5−1+54-4-4-4-4-2−1−5−1+51+521−521+521+521−521−521+521−524-22−1−5−1+51+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+5200-2−1−5−1+5−1−52−1+521+521+521−521−52−1−52−1+52000000000000000000000000000
χ55444-2−1−5−1+5-2−1−5−1+5-4400-4-2−1−5−1+51+521−521+521+521−521−521+521−5202-21+51−5−1−5−1+500200001+51−5−1−52−1−52−1+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+ζ58000001+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−1−52−1+52000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.