Finite Group Databasebeta

← Group #14313166

Character table — Group #14313166

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222222244444444444455888888888888888888881010101212161616161616161616161616161616162020202020202424242424242440404040404040404848484848486060120120120
order122355610102246101012121515303044668810101010202024242424303060606060412122230303030404040401201201201201201201201202446612444101010108812122424242420202020202044444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-111-1-1-1-1111-1-1
χ41111111111111111111111111-1-1111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111
χ5111111111111111111111-1-111111111111111111111-1-1-1111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ7111111111111111111111-1-111-1-1111111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1111111-1-1-1-1-1-1-111
χ8111111111111111111111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111111-1-1
χ91111111111-1-1111-1-11111111-1i−i11-1-1-1-1ii−i−i11-1-1-1-11111111-1-1ii−i−iiiii−i−i−i−i-11-1-1-11-1i−i1111i−i1-1ii−i−i-1-1ii−i−i11-1i−i
χ101111111111-1-1111-1-11111111-1i−i11-1-1-1-1ii−i−i11-1-1-1-1111-1-111-1-1ii−i−iiiii−i−i−i−i-11-1-1-111−ii-1-1-1-1i−i1-1ii−i−i11−i−iii-1-11−ii
χ111111111111-1-1111-1-11111111-1−ii11-1-1-1-1−i−iii11-1-1-1-11111111-1-1−i−iii−i−i−i−iiiii-11-1-1-11-1−ii1111−ii1-1−i−iii-1-1−i−iii11-1−ii
χ121111111111-1-1111-1-11111111-1−ii11-1-1-1-1−i−iii11-1-1-1-1111-1-111-1-1−i−iii−i−i−i−iiiii-11-1-1-111i−i-1-1-1-1−ii1-1−i−iii11ii−i−i-1-11i−i
χ131111111111-1-1111-1-11111-1-11-1i−i11-1-1-1-1ii−i−i11-1-1-1-1-1-1-11111-1-1ii−i−iiiii−i−i−i−i1-1111-1-1i−i1111−ii-11−i−iii-1-1ii−i−i-1-11−ii
χ141111111111-1-1111-1-11111-1-11-1i−i11-1-1-1-1ii−i−i11-1-1-1-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-1111-11−ii-1-1-1-1−ii-11−i−iii11−i−iii11-1i−i
χ151111111111-1-1111-1-11111-1-11-1−ii11-1-1-1-1−i−iii11-1-1-1-1-1-1-11111-1-1−i−iii−i−i−i−iiiii1-1111-1-1−ii1111i−i-11ii−i−i-1-1−i−iii-1-11i−i
χ161111111111-1-1111-1-11111-1-11-1−ii11-1-1-1-1−i−iii11-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-1111-11i−i-1-1-1-1i−i-11ii−i−i11ii−i−i11-1−ii
χ17222222222-22-2222-2-2222222-2200-2-222-2-2000022-2-2-2-222200-2-222000000000000-2-22-2-22000000000-22000000000000000
χ18222222222-22-2222-2-22222-2-2-2200-2-222-2-2000022-2-2-2-2-2-2-200-2-22200000000000022-222-20000000002-2000000000000000
χ19222222222-2-2222222222222-2-200-2-2-2-222000022222222200-2-2-2-20000000000002-2-2222000000000-2-2000000000000000
χ20222222222-2-22222222222-2-2-2-200-2-2-2-2220000222222-2-2-200-2-2-2-2000000000000-222-2-2-200000000022000000000000000
χ212222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52002222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5200022−1−52−1+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+52000000222−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+5200000
χ222222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52002222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2-21+521+521−521−52000000001+521−521+521−521+521−5200000
χ232222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+520022-2-2−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+5200022−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000002-2-2−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−521+521−5200000
χ242222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+520022-2-2−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52000-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52000000-2221+521+521−521−52000000001+521−52−1−52−1+52−1−52−1+5200000
χ252222−1−52−1+522−1−52−1+522-2-22−1−52−1+52-2-2−1−52−1+52−1−52−1+52002-22i−2i−1−52−1+521+521−521+521−522i2i−2i−2i−1−52−1+521+521+521−521−5200022−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000-22i−2i−1−52−1−52−1+52−1+52000000001+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000
χ262222−1−52−1+522−1−52−1+522-2-22−1−52−1+52-2-2−1−52−1+52−1−52−1+52002-22i−2i−1−52−1+521+521−521+521−522i2i−2i−2i−1−52−1+521+521+521−521−52000-2-2−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000002−2i2i1+521+521−521−5200000000−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000
χ272222−1−52−1+522−1−52−1+522-2-22−1−52−1+52-2-2−1−52−1+52−1−52−1+52002-2−2i2i−1−52−1+521+521−521+521−52−2i−2i2i2i−1−52−1+521+521+521−521−5200022−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000-2−2i2i−1−52−1−52−1+52−1+52000000001+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000
χ282222−1−52−1+522−1−52−1+522-2-22−1−52−1+52-2-2−1−52−1+52−1−52−1+52002-2−2i2i−1−52−1+521+521−521+521−52−2i−2i2i2i−1−52−1+521+521+521−521−52000-2-2−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000022i−2i1+521+521−521−5200000000−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000
χ292222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52002222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5200022−1+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+52−1−52−1−52000000222−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−5200000
χ302222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52002222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-21−521−521+521+52000000001−521+521−521+521−521+5200000
χ312222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−520022-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−5200022−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+520000002-2-2−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+521−521+5200000
χ322222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−520022-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52000-2-2−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52000000-2221−521−521+521+52000000001−521+52−1+52−1−52−1+52−1−5200000
χ332222−1+52−1−522−1+52−1−522-2-22−1+52−1−52-2-2−1+52−1−52−1+52−1−52002-22i−2i−1+52−1−521−521+521−521+522i2i−2i−2i−1+52−1−521−521−521+521+5200022−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000-22i−2i−1+52−1+52−1−52−1−52000000001−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000
χ342222−1+52−1−522−1+52−1−522-2-22−1+52−1−52-2-2−1+52−1−52−1+52−1−52002-22i−2i−1+52−1−521−521+521−521+522i2i−2i−2i−1+52−1−521−521−521+521+52000-2-2−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000002−2i2i1−521−521+521+5200000000−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000
χ352222−1+52−1−522−1+52−1−522-2-22−1+52−1−52-2-2−1+52−1−52−1+52−1−52002-2−2i2i−1+52−1−521−521+521−521+52−2i−2i2i2i−1+52−1−521−521−521+521+5200022−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000-2−2i2i−1+52−1+52−1−52−1−52000000001−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000
χ362222−1+52−1−522−1+52−1−522-2-22−1+52−1−52-2-2−1+52−1−52−1+52−1−52002-2−2i2i−1+52−1−521−521+521−521+52−2i−2i2i2i−1+52−1−521−521−521+521+52000-2-2−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000022i−2i1−521−521+521+5200000000−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000
χ37222-122-122222-122-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-12-1-100-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1000000022-1-1-1-1-1-100000000000
χ38222-122-122222-122-1-1-1-1-1-122-1-1-2-22222221111-1-1-1-1-1-12-1-100-1-1-1-1-2-2-2-211111111222-1-1-10000000-2-2-1-1111100000000000
χ39222-122-122222-122-1-1-1-1-1-1-2-2-1-122222222-1-1-1-1-1-1-1-1-1-1-21100-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-21110000000-2-211111100000000000
χ40222-122-122222-122-1-1-1-1-1-1-2-2-1-1-2-22222221111-1-1-1-1-1-1-21100-1-1-1-1-2-2-2-211111111-2-2-211100000002211-1-1-1-100000000000
χ41222-122-1222-2-2-12211-1-1-1-122-112i−2i22-2-2-2-2−i−iii-1-111112-1-100-1-1112i2i−2i−2i−i−i−i−iiiii-22-211-100000002i−2i-11−i−iii00000000000
χ42222-122-1222-2-2-12211-1-1-1-122-11−2i2i22-2-2-2-2ii−i−i-1-111112-1-100-1-111−2i−2i2i2iiiii−i−i−i−i-22-211-10000000−2i2i-11ii−i−i00000000000
χ43222-122-1222-2-2-12211-1-1-1-1-2-2-112i−2i22-2-2-2-2−i−iii-1-11111-21100-1-1112i2i−2i−2i−i−i−i−iiiii2-22-1-110000000−2i2i1-1ii−i−i00000000000
χ44222-122-1222-2-2-12211-1-1-1-1-2-2-11−2i2i22-2-2-2-2ii−i−i-1-11111-21100-1-111−2i−2i2i2iiiii−i−i−i−i2-22-1-1100000002i−2i1-1−i−iii00000000000
χ45222-122-122-22-2-12211-1-1-1-1221-100-2-222-2-23−33−3-1-111112-1-10011-1-100003−33−33−33−3-2-2211-10000000001-13−33−300000000000
χ46222-122-122-22-2-12211-1-1-1-1221-100-2-222-2-2−33−33-1-111112-1-10011-1-10000−33−33−33−33-2-2211-10000000001-1−33−3300000000000
χ47222-122-122-22-2-12211-1-1-1-1-2-21-100-2-222-2-23−33−3-1-11111-2110011-1-100003−33−33−33−322-2-1-11000000000-11−33−3300000000000
χ48222-122-122-22-2-12211-1-1-1-1-2-21-100-2-222-2-2−33−33-1-11111-2110011-1-10000−33−33−33−3322-2-1-11000000000-113−33−300000000000
χ49222-122-122-2-22-122-1-1-1-1-1-1221100-2-2-2-222−i3i3i3−i3-1-1-1-1-1-12-1-10011110000−i3i3−i3i3i3−i3i3−i32-2-2-1-1-100000000011−i3i3i3−i300000000000
χ50222-122-122-2-22-122-1-1-1-1-1-1221100-2-2-2-222i3−i3−i3i3-1-1-1-1-1-12-1-10011110000i3−i3i3−i3−i3i3−i3i32-2-2-1-1-100000000011i3−i3−i3i300000000000
χ51222-122-122-2-22-122-1-1-1-1-1-1-2-21100-2-2-2-222−i3i3i3−i3-1-1-1-1-1-1-2110011110000−i3i3−i3i3i3−i3i3−i3-222111000000000-1-1i3−i3−i3i300000000000
χ52222-122-122-2-22-122-1-1-1-1-1-1-2-21100-2-2-2-222i3−i3−i3i3-1-1-1-1-1-1-2110011110000i3−i3i3−i3−i3i3−i3i3-222111000000000-1-1−i3i3i3−i300000000000
χ534444−1−5−1+54−1−5−1+5-44-44−1−5−1+5-4-4−1−5−1+5−1−5−1+500-44001+51−5−1−5−1+51+51−50000−1−5−1+51+51+51−51−5000001+51−5−1−5−1+500000000000000000000000000000000000000000000
χ544444−1−5−1+54−1−5−1+5-4-444−1−5−1+544−1−5−1+5−1−5−1+500-4-4001+51−51+51−5−1−5−1+50000−1−5−1+5−1−5−1−5−1+5−1+5000001+51−51+51−500000000000000000000000000000000000000000000
χ554444−1+5−1−54−1+5−1−5-44-44−1+5−1−5-4-4−1+5−1−5−1+5−1−500-44001−51+5−1+5−1−51−51+50000−1+5−1−51−51−51+51+5000001−51+5−1+5−1−500000000000000000000000000000000000000000000
χ564444−1+5−1−54−1+5−1−5-4-444−1+5−1−544−1+5−1−5−1+5−1−500-4-4001−51+51−51+5−1+5−1−50000−1+5−1−5−1+5−1+5−1−5−1−5000001−51+51−51+500000000000000000000000000000000000000000000
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χ938-80-4884-8-800000000-4-4448i−8i000000000000000000000−4i4i00000000000000000000000000000000000000000000000000
χ948-80-4884-8-800000000-4-444−8i8i0000000000000000000004i−4i00000000000000000000000000000000000000000000000000
χ9516-160-8−4−45−4+4584+454−45000000002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000
χ9616-160-8−4+45−4−4584−454+45000000002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000

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