Finite Group Databasebeta

← Group #14458992

Character table — Group #14458992

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444466888888888888888888888888881010121212121212121212161616161616161616161620202020202020242424242424242424242430303030303040404040404048486080120120
order1222344556661010101010108812121515202020203030303030304444121220202020242440404040606060601201201201201201201201202222288202020201220206060606060606060444668821010101010104040404044888841212122424101041224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-111-1-1-1-11111111111-11-1-111-1-11-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1111
χ51111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1
χ61111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111111-111-1-11111-1-1
χ9111111111111111111-1-111111111111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-111111-1-111-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1
χ10111111111111111111-1-111111111111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-11111-111-1-111-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-11
χ11111111111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1111111-1-1-1-111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1-11
χ12111111111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-111-1
χ13111111111111111111-1-111111111111111-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-11111-1-1111111-1-1-1-111-11-11
χ14111111111111111111-1-111111111111111-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-11-1
χ15111111111111111111-1-111111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-111111111-1-11111-1111-1-1-1-1-1-11-1
χ16111111111111111111-1-111111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-11-1-1-111-1-111-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000002−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002-2-222−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−520000000-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000001+521−520000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000-21+521−521+521+521−521−521+521+521−521−520000000000001+521−520000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-222-2-21+521+521−521−52-21+521−521+521+521−521−521+521+521−521−52000000021+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−52−1+520000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200222-2-2−1−52−1−52−1+52−1+5221+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000001+521−520000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-22221+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52002-2-2-2-2−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000002−1−52−1+521+521+521−521−521+521+521−521−52000000000000−1−52−1+520000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2-2221+521+521−521−5221+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000021+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+520000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22221+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-222221+521+521−521−52-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−520000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−520022222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000002−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−520000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002-2-222−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+520000000-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000001−521+520000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+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+52−1−52−1−52−1−52−1−5200-2-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000-21−521+521−521−521+521+521−521−521+521+520000000000001−521+520000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-222-2-21−521−521+521+52-21−521+521−521−521+521+521−521−521+521+52000000021−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+52−1−520000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200222-2-2−1+52−1+52−1−52−1−5221−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000001−521+520000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-22221−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52002-2-2-2-2−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000002−1+52−1−521−521−521+521+521−521−521+521+52000000000000−1+52−1−520000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-2-2221−521−521+521+5221−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000021−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+52−1−520000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22221−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-222221−521−521+521+52-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+520000
χ3322222-2-22222222222200-2-222-2-2-2-22222222200000000000000-2-2-2-20000000022-20000222200000000000-20022000-2-2000000002200000-2000000-2000
χ3422222-2-22222222222200-2-222-2-2-2-22222222200000000000000-2-2-2-200000000-2-2-20000222200000000000200-2-2000-2-200000000-2-20000020000002000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-200000000000000-2-2-2-2000000002220000-2-2-2-200000000000-200220002200000000-2-200000-20000002000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-200000000000000-2-2-2-200000000-2-220000-2-2-2-200000000000200-2-2000220000000022000002000000-2000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000000000-122-1-1-1-1-1-1-1-1222-1-122000000000000000002-1-1-1-1-1000-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000-122-1-1-1-1-1-1-1-1-2-2-211-2-200000000000000000-211111000100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000001-2-2111111112-2-2-1-12200000000000000000-2-111-1-1000100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000001-2-211111111-22211-2-20000000000000000021-1-111000-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-211222211-2-2-2-2-1-1-1-11111111122000000000-1-2-21111-1-1-1-12-2-2-1-1-2-2000000000000000002-11111000-100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-211222211-2-2-2-2-1-1-1-111111111-2-2000000000-1-2-21111-1-1-1-1-222112200000000000000000-21-1-1-1-1000100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-22-1-1-2-2-2-211-2-2-2-2-1-1-1-11111111122000000000122-1-1-1-11111222-1-1-2-200000000000000000-2-1-1-111000100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-22-1-1-2-2-2-211-2-2-2-2-1-1-1-111111111-2-2000000000122-1-1-1-11111-2-2-21122000000000000000002111-1-1000-100
χ4522-2-222-222-22-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-222000000000002-20000000000000000002i−2i00000002-22-20000002i2i−2i−2i002i−2i00000000
χ4622-2-222-222-22-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-222000000000002-2000000000000000000−2i2i00000002-22-2000000−2i−2i2i2i00−2i2i00000000
χ4722-2-222-222-22-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-22200000000000-220000000000000000002i−2i0000000-22-22000000−2i−2i2i2i002i−2i00000000
χ4822-2-222-222-22-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-22200000000000-22000000000000000000−2i2i0000000-22-220000002i2i−2i−2i00−2i2i00000000
χ492-2-22200222-2-222-2-2-2-22−20022000022-2-2-2-22i−2i000000002−22−22−2000022−2−222−2−22-2000−i2i22i−2i2i−2i000000000000002-22−20000000−i2i2−i2i22i−2i−i2i2−i2i200002−2000000
χ502-2-22200222-2-222-2-2-2-22−20022000022-2-2-2-22i−2i000000002−22−22−2000022−2−222−2−2-22000−i2i22i−2i2i−2i00000000000000-22−220000000−i2i2−i2i2−2i2ii2−i2i2−i20000−22000000
χ512-2-22200222-2-222-2-2-2-22−20022000022-2-2-2-2−2i2i000000002−22−22−2000022−2−222−2−22-2000i2−i2−2i2i−2i2i000000000000002-22−20000000i2−i2i2−i2−2i2ii2−i2i2−i200002−2000000
χ522-2-22200222-2-222-2-2-2-22−20022000022-2-2-2-2−2i2i000000002−22−22−2000022−2−222−2−2-22000i2−i2−2i2i−2i2i00000000000000-22−220000000i2−i2i2−i22i−2i−i2i2−i2i20000−22000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.