Finite Group Databasebeta

← Group #14513495

Character table — Group #14513495

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222224444555566668888888810101212121212121212121212121212121216161616161616161616161616161616242424242424242424242424242424243030303040404040404040406060606060606060
order1222445510101010101020202020444422443666121212124444448888101010102020202015153030303030306060606060606060202020202020202040404040404040404444121212121212121222228888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1
χ911-1-11-111-1-111-1-111-1-1ii−i−i1-1-1111-1-111-1-1i−ii−ii−ii−ii−i11-1-111-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−iii−i−iii−i−i1-11-11-11-1
χ1011-1-11-111-1-111-1-111-1-1ii−i−i1-1-1111-1-111-1-1i−i−ii−ii−ii−ii11-1-111-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii−i−iiii−ii−iii−i−iii−i−i-11-11-11-11
χ1111-1-11-111-1-111-1-111-1-1−i−iii1-1-1111-1-111-1-1−iii−ii−ii−ii−i11-1-111-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−ii−ii−i−iii−i−iii-11-11-11-11
χ1211-1-11-111-1-111-1-111-1-1−i−iii1-1-1111-1-111-1-1−ii−ii−ii−ii−ii11-1-111-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−i−iii−i−iii1-11-11-11-1
χ1311-1-1-1111-1-111-1-1-1-111ii−i−i-11-1111-1-1-1-111−iii−i−iii−i−ii-1-11111-1-111-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiii−i−iiii−i−i−i−iii1-1-111-1-11
χ1411-1-1-1111-1-111-1-1-1-111ii−i−i-11-1111-1-1-1-111−ii−iii−i−iii−i-1-11111-1-111-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−ii−i−iiii−i−i−i−iii-111-1-111-1
χ1511-1-1-1111-1-111-1-1-1-111−i−iii-11-1111-1-1-1-111i−ii−i−iii−i−ii-1-11111-1-111-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−iii−i−i−iiiii−i−i-111-1-111-1
χ1611-1-1-1111-1-111-1-1-1-111−i−iii-11-1111-1-1-1-111i−i−iii−i−iii−i-1-11111-1-111-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−iii−i−i−iiiii−i−i1-1-111-1-11
χ1722222222222222222222222222-1-1-1-1-1-1-1-1220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ18222222222222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-20000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ19222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200002222222222220022222222−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ20222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000022222222222200-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200002222222222220022222222−1+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+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+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000022222222222200-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ232222-2-222222222-2-2-2-22222-2-222-1-1-1-11111-2-200000000-2-2-2-22222-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-1111100000000
χ242222-2-222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-111112200000000-2-2-2-22222-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-100000000
χ252222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000-2-2222222-2-2-2-20022-2-222-2-21+521−521+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+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ262222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000-2-2222222-2-2-2-200-2-222-2-2221+521−521+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+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000-2-2222222-2-2-2-20022-2-222-2-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000-2-2222222-2-2-2-200-2-222-2-2221−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ2922-2-22-222-2-222-2-222-2-22i2i−2i−2i2-2-22-1-111-1-1112i−2i0000000022-2-222-2-2-1-11111-1-1-1-1-1-1111100000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ3022-2-22-222-2-222-2-222-2-2−2i−2i2i2i2-2-22-1-111-1-111−2i2i0000000022-2-222-2-2-1-11111-1-1-1-1-1-111110000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ3122-2-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−5200002-2-2222-2-222-2-2002i−2i2i−2i2i−2i2i−2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−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+ζ47−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+ζ4700000000000000000000
χ3222-2-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−5200002-2-2222-2-222-2-200−2i2i−2i2i−2i2i−2i2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52ζ11+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−ζ47ζ11+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−ζ4700000000000000000000
χ3322-2-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+5200002-2-2222-2-222-2-2002i−2i2i−2i2i−2i2i−2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−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+ζ59−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+ζ5900000000000000000000
χ3422-2-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+5200002-2-2222-2-222-2-200−2i2i−2i2i−2i2i−2i2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ7+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−ζ59ζ7+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−ζ5900000000000000000000
χ3522-2-2-2222-2-222-2-2-2-2222i2i−2i−2i-22-22-1-11111-1-1−2i2i00000000-2-22222-2-2-1-11111-1-11111-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i00000000
χ3622-2-2-2222-2-222-2-2-2-222−2i−2i2i2i-22-22-1-11111-1-12i−2i00000000-2-22222-2-2-1-11111-1-11111-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii00000000
χ3722-2-2-22−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+520000-22-2222-2-2-2-222002i−2i−2i2i2i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−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−ζ47−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−ζ4700000000000000000000
χ3822-2-2-22−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+520000-22-2222-2-2-2-22200−2i2i2i−2i−2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52ζ11+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+ζ47ζ11+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+ζ4700000000000000000000
χ3922-2-2-22−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−520000-22-2222-2-2-2-222002i−2i−2i2i2i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−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−ζ59−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−ζ5900000000000000000000
χ4022-2-2-22−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−520000-22-2222-2-2-2-22200−2i2i2i−2i−2i2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ7+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+ζ59ζ7+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+ζ5900000000000000000000
χ413333333333333333333333-1-1-1-100000000331111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1
χ423333333333333333333333-1-1-1-10000000033-1-1-1-11111-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-100000000-1-1-1-11111
χ43333333333333333333-3-3-3-3-1-1-1-100000000-3-31111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1111100000000-1-1-1-11111
χ44333333333333333333-3-3-3-3-1-1-1-100000000-3-3-1-1-1-11111-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1111111111111000000001111-1-1-1-1
χ453333-3-333333333-3-3-3-3333311-1-100000000-3-311-1-1-1-1111111-1-1-1-100000000000000001111-1-1-1-1-1-1-1-11111-1-1110000000011-1-1-1-111
χ463333-3-333333333-3-3-3-3333311-1-100000000-3-3-1-11111-1-11111-1-1-1-10000000000000000-1-1-1-111111111-1-1-1-1-1-11100000000-1-11111-1-1
χ473333-3-333333333-3-3-3-3-3-3-3-311-1-1000000003311-1-1-1-1111111-1-1-1-100000000000000001111-1-1-1-1-1-1-1-1111111-1-100000000-1-11111-1-1
χ483333-3-333333333-3-3-3-3-3-3-3-311-1-10000000033-1-11111-1-11111-1-1-1-10000000000000000-1-1-1-111111111-1-1-1-111-1-10000000011-1-1-1-111
χ4933-3-33-333-3-333-3-333-3-33i3i−3i−3i-111-1000000003i−3ii−ii−i−ii−ii-1-111-1-1110000000000000000ii−i−iii−i−i−i−iii−i−iii−ii−ii000000001-11-1-11-11
χ5033-3-33-333-3-333-3-333-3-33i3i−3i−3i-111-1000000003i−3i−ii−iii−ii−i-1-111-1-1110000000000000000−i−iii−i−iiiii−i−iii−i−i−ii−ii00000000-11-111-11-1
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.