Finite Group Databasebeta

← Group #14458367

Character table — Group #14458367

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444466888888888888888888888888881010121212121212121212161616161616161616161620202020202020242424242424242424242430303030303040404040404048486080120120
order12223445566610101010101088121215152020202030303030303022246620202020242440404040606060601201201201201201201201202244488101010101010123030303060606060224668842020202020204040404044888826612242420204624
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
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11111111111-1-1-1111-1-11-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1111
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
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1111111111-1-1-11111-1-1
χ9111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111-11111-1-1-1-111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1111-11-1
χ10111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-11-11
χ11111111111111111111-1-11111111111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11-1-1-1-11111-1-1111-1-1-1111111-1-1-1-111-1-1-1-11-1-11-1-1-1-111-11
χ12111111111111111111-1-11111111111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-11-1-1-1-1111111-1-1-111-1111111-1-1-1-1-1-11111-111-111-1-1-1-11-1
χ13111111111111111111-1-111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1-1-111-11111-1-1-1-111111-1-1-1-1-111111111-1-11111-1111-1-1-1-1-1-1-11
χ14111111111111111111-1-111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-11-1-1-111-1-1111-1
χ15111111111111111111-1-111111111111111-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1111-1-11-1-1-1-1-1-11111-1-111111-1-11-1-111-111-1
χ16111111111111111111-1-111111111111111-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-111-111111-1-11
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+52−1−52−1+522−1−52−1−52−1+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+521+521−52-21+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+521−521−52−1−52−1+522−1−52−1−52−1+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+521−521−521+521−52-21+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+52222-2221+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+52−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200000002−1−52−1+521+521+521−521−521+521+521−521−52000000000000−1−52−1+520000
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+5222-22-2-2−1−52−1−52−1+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+521+521−5221+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
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+52-2-22-2221+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+521−521−52−1−52−1+52-2−1−52−1−52−1+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
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+52-2-2-22-2-2−1−52−1−52−1+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+521−521−521+521−5221+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
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+52−1−52−1−52−1+52−1−522−1+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+52−1−52−1−521−521+52-21−521−521+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+52−1+52−1−522−1+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+521−521+52-21−521−521+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+52−1−52222-2221−521−521+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+52−1−52−1−52−1+52−1−52-2−1+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
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+52−1−5222-22-2-2−1+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+52−1−52−1−521−521+5221−521−521+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
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+52−1−52-2-22-2221−521−521+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+52−1+52−1−52-2−1+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
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+52−1−52-2-2-22-2-2−1+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+521−521+5221−521−521+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
χ3322222-2-22222222222200-2-222-2-2-2-22222222200000000000000-2-2-2-20000000022-2000022220000000000000-222000-2-200000000220000000-20000-2000
χ3422222-2-22222222222200-2-222-2-2-2-22222222200000000000000-2-2-2-200000000-2-2-20000222200000000000002-2-2000-2-200000000-2-20000000200002000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-200000000000000-2-2-2-2000000002220000-2-2-2-20000000000000-2220002200000000-2-20000000-200002000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-200000000000000-2-2-2-200000000-2-220000-2-2-2-200000000000002-2-2000220000000022000000020000-2000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200000000022-1-1-1-1-1-1-1-1-1222-1-122000000000000000002-1-1-1-1-1000-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000022-1-1-1-1-1-1-1-1-1-2-2-211-2-200000000000000000-211111000100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000000000-2-2111111111-2-22-1-12200000000000000000-211-1-1-1000100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000-2-211111111122-211-2-2000000000000000002-1-1111000-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-2-1-1-2-2-2-211-2-2-2-2-1-1-1-11111111122000000000221-1-1-1-11111222-1-1-2-200000000000000000-2-1-1-111000100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-2-1-1-2-2-2-211-2-2-2-2-1-1-1-111111111-2-2000000000221-1-1-1-11111-2-2-21122000000000000000002111-1-1000-100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-2211222211-2-2-2-2-1-1-1-11111111122000000000-2-2-11111-1-1-1-1-2-22-1-1-2-200000000000000000211-111000-100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-2211222211-2-2-2-2-1-1-1-111111111-2-2000000000-2-2-11111-1-1-1-122-2112200000000000000000-2-1-11-1-1000100
χ4522-2-222-222-2-22-2-222-2-2002-22222-2-2-2-222-2-20000000000000000-2-222000000000002i−2i000000000000000002-2000000002i−2i2i−2i0000002i2i−2i−2i02-2000000000
χ4622-2-222-222-2-22-2-222-2-2002-22222-2-2-2-222-2-20000000000000000-2-222000000000002i−2i00000000000000000-22000000002i−2i2i−2i000000−2i−2i2i2i0-22000000000
χ4722-2-222-222-2-22-2-222-2-2002-22222-2-2-2-222-2-20000000000000000-2-22200000000000−2i2i000000000000000002-200000000−2i2i−2i2i000000−2i−2i2i2i02-2000000000
χ4822-2-222-222-2-22-2-222-2-2002-22222-2-2-2-222-2-20000000000000000-2-22200000000000−2i2i00000000000000000-2200000000−2i2i−2i2i0000002i2i−2i−2i0-22000000000
χ492-2-2220022-22-2-2-2-2-2222−200220000-2-2-2-2222-2000000002−22−22−2000022−2−222−2−22-20002−22-22-2000000000000002-22−200000002−22−22-22−22−200002−2000000
χ502-2-2220022-22-2-2-2-2-2222−200220000-2-2-2-2222-2000000002−22−22−2000022−2−222−2−2-220002−22-22-200000000000000-22−2200000002−22−2-22−22−220000−22000000
χ512-2-2220022-22-2-2-2-2-2222−200220000-2-2-2-222-22000000002−22−22−2000022−2−222−2−22-2000−22-22-22000000000000002-22−20000000−22−22-22−22−2200002−2000000
χ522-2-2220022-22-2-2-2-2-2222−200220000-2-2-2-222-22000000002−22−22−2000022−2−222−2−2-22000−22-22-2200000000000000-22−220000000−22−222-22−22−20000−22000000
χ532-2-2220022-22-2-2-2-2-222−2200220000-2-2-2-2222-200000000−22−22−220000−2−222−2−2222-2000−222-22-2000000000000002-2−220000000−22−222-2−22−220000−22000000
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χ1208-8-88-400−2+25−2−254-442−252+252−252+25−2+25−2−25−4242001−51+50000−1+5−1−5−1+5−1−51−51+5000000000022−22−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ1192ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1030000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.