Finite Group Databasebeta

← Group #14458998

Character table — Group #14458998

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444668888888888888888888888101010101010121212121212121212161616161616161616161616202020202020202020242424242424242424242430304040484860606060608080120
order122234455666101010101010881212151520202020242424243030303030304424202020204040404060606060120120120120120120120120228888222882020202061010123030303060606060466121224242424410101010101040404040444420204448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-1111
χ511111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-11
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111111-1-11111-1
χ9111111111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111111-11111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1111-111111-1-11-1-1
χ10111111111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-111
χ11111111111111111111-1-111111111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-11-1-1-1-1111111111-1-1-1-1-1111111-1-1-1-111-11-1-11-1-1-1-1-111
χ12111111111111111111-1-111111111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-11-1-1-1-11111-1-1-1-1-11111-1111111-1-1-1-1-1-11-1-1-1-111111-1-1
χ13111111111111111111-1-111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111-11111-1-1-1-111111-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1111-11
χ14111111111111111111-1-111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-11111-1-1-11111111111-11-1-1111-1-1-11-1
χ15111111111111111111-1-111111111-1-1-1-1111111-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1111-11111-11-1
χ16111111111111111111-1-111111111-1-1-1-1111111-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111111-1111-1-1-1-11-11
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+522222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022222−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000002−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+5200000000
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+522222−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002-2-222−1−52−1−52−1+52−1+52-21+521−52-21+521+521−521−521+521+521−521−52000000000-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−5200000000
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+522222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-2-2-2-21+521+521−521−522−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000-21+521−521+521+521−521−521+521+521−521−5200001+521−5200000000
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+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-222-2-21+521+521−521−52-21+521−52-21+521+521−521−521+521+521−521−5200000000021+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+5200000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52222-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000002-2-2-2-2−1−52−1−52−1+52−1+522−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−520000000002−1−52−1+521+521+521−521−521+521+521−521−520000−1−52−1+5200000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000222-2-2−1−52−1−52−1+52−1+52-21+521−5221+521+521−521−52−1−52−1−52−1+52−1+52000000000-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200001+521−5200000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-22-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-222221+521+521−521−522−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−52000000000-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−5200000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2-2-2221+521+521−521−52-21+521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000021+521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+5200000000
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+52−1−522222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022222−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000002−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−5200000000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521−521+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+52−1−52−1−52−1−52−1−520000002-2-222−1+52−1+52−1−52−1−52-21−521+52-21−521−521+521+521−521−521+521+52000000000-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+5200000000
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+52−1−522222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-2-2-2-21−521−521+521+522−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000-21−521+521−521−521+521+521−521−521+521+5200001−521+5200000000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52000000-222-2-21−521−521+521+52-21−521+52-21−521−521+521+521−521−521+521+5200000000021−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−5200000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52222-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000002-2-2-2-2−1+52−1+52−1−52−1−522−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+520000000002−1+52−1−521−521−521+521+521−521−521+521+520000−1+52−1−5200000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000222-2-2−1+52−1+52−1−52−1−52-21−521+5221−521−521+521+52−1+52−1+52−1−52−1−52000000000-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+5200000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-222221−521−521+521+522−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+52000000000-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+5200000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-2-2-2221−521−521+521+52-21−521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000021−521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−5200000000
χ3322222-2-22222222222200-2-222-2-2-2-20000222222220000000000-2-2-2-200000000220000-200002222000000000000-222-2-200000-2-200000000220000-20000000
χ3422222-2-22222222222200-2-222-2-2-2-20000222222220000000000-2-2-2-200000000-2-20000-2000022220000000000002-2-22200000-2-200000000-2-2000020000000
χ3522222-2-22222222222200-2-222-2-2-2-20000222222-2-20000000000-2-2-2-20000000022000020000-2-2-2-2000000000000-222-2-2000002200000000-2-2000020000000
χ3622222-2-22222222222200-2-222-2-2-2-20000222222-2-20000000000-2-2-2-200000000-2-2000020000-2-2-2-20000000000002-2-222000002200000000220000-20000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002222222222-1-1-1-1-1-1-1-1-1-1-1-1222222000000000-122-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-10000000000000220000000-1-10
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1002222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000000-122-1-1-1-1-1-1-1-1-1-2111111110000000000000-2-20000000110
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12222220000000001-2-21111111112-1-1-1-1-1-1-1-10000000000000-2-20000000110
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000000001-2-2111111111-2111111110000000000000220000000-1-10
χ412222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-1002-2-2-2-2-2-2-2-2-2-1-1-1-11111111122-2-2-2-2000000000-1221-1-1-1-111112-1-1-1-1111100000000000002-20000000-110
χ422222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-1002-2-2-2-2-2-2-2-2-2-1-1-1-111111111-2-22222000000000-1221-1-1-1-11111-21111-1-1-1-10000000000000-2200000001-10
χ432222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-100-222222-2-2-2-2-1-1-1-11111111122-2-2-2-20000000001-2-2-11111-1-1-1-12-1-1-1-111110000000000000-2200000001-10
χ442222-12222-1-1-1222222-2-2-1-1-1-122221111-1-1-1-1-1-100-222222-2-2-2-2-1-1-1-111111111-2-222220000000001-2-2-11111-1-1-1-1-21111-1-1-1-100000000000002-20000000-110
χ4522-2-222-2222-2-2-2-22-22-2002-222-2-2220000-2-2-2-22200000000000022-2-200000000002i2i−2i−2i02-2000000000000000000000002i2i−2i−2i0002-22-2000000000002i−2i00000
χ4622-2-222-2222-2-2-2-22-22-2002-222-2-2220000-2-2-2-22200000000000022-2-200000000002i2i−2i−2i0-22000000000000000000000002i2i−2i−2i000-22-2200000000000−2i2i00000
χ4722-2-222-2222-2-2-2-22-22-2002-222-2-2220000-2-2-2-22200000000000022-2-20000000000−2i−2i2i2i02-200000000000000000000000−2i−2i2i2i0002-22-200000000000−2i2i00000
χ4822-2-222-2222-2-2-2-22-22-2002-222-2-2220000-2-2-2-22200000000000022-2-20000000000−2i−2i2i2i0-2200000000000000000000000−2i−2i2i2i000-22-22000000000002i−2i00000
χ492-22-220022-22-222-2-2-2-2−i2i200220000−i2−i2i2i22-22-2-2-22i−2i000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i22-2−i2i2−i2i20002−22i−2i2i−2i00000000000002-200−i2i2−i2i200000002−22−22i−2i00000002−2000
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χ1218-8-88-400−2−25−2+2544-42+252−252+25−2−252−25−2+2500001+51−50000−262626−26−1−51+5−1+51−5−1−5−1+50000000000000000ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ1190000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-400−2+25−2−2544-42−252+252−25−2+252+25−2−2500001−51+5000026−26−2626−1+51−5−1−51+5−1+5−1−50000000000000000ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ1030000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-400−2+25−2−2544-42−252+252−25−2+252+25−2−2500001−51+50000−262626−26−1+51−5−1−51+5−1+5−1−50000000000000000−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ1030000000000000000000000000000000000000000000000000000000000000

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