Finite Group Databasebeta

← Group #14439716

Character table — Group #14439716

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444888888888888888888888888101010101212121216161616161616161616161620202020202024242424242424242424303030304040404040404040484848486060120120
order12223445566610101010101088121215152020202030303030303044121212122424404040406060606012012012012012012012012022444488202020206060606060606060668812122420202020404040408888246612122424101020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1
χ9111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1111-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-1
χ10111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-111-11-1-1-1-111111111-11-1-111-1-1-1-111-1-1-11
χ11111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11-11111-1-1-1-111111-111-1-11111-1-1-1-1-11
χ12111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-11-111-1-111-1-111111-1
χ13111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111-111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-11
χ14111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1111-1-1-1-1-1111111111-111-1-1-1-111-1-1-1-11-1
χ15111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-111111-1-1-1-11111-11-1-11111-1-111-1-11-1
χ16111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11-1-1-1-1-11111-1-1-1-1-11-1-1111111-1-111-11
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+5222222222−1−52−1−52−1+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+5200002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+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+5222222222−1−52−1−52−1+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+520000-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-21+521+521−521−521+521+521−521−520000000000001+521−521+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+52-2-2-2-2-2-222−1−52−1−52−1+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+52000022221+521−521+521−521+521+521−521−521+521+521−521−52000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+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+52-2-2-2-2-2-222−1−52−1−52−1+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+520000-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000221+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+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+522-222-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000022-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−52−1+521+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+522-222-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+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+52-22-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000022-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000-22−1−52−1−52−1+52−1+521+521+521−521−520000000000001+521−52−1−52−1+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+52-22-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000002-21+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+521+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+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+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+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-21−521−521+521+521−521−521+521+520000000000001−521+521−521+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+52−1−52-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022221−521+521−521+521−521−521+521+521−521−521+521+52000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+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+52−1−52-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000221−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+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+52−1−522-222-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000022-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+52−1−521−521+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+52−1−522-222-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000-2-222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-221−521−521+521+52−1+52−1+52−1−52−1−520000000000001−521+52−1+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+52−1−52-22-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000022-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000-22−1+52−1+52−1−52−1−521−521−521+521+520000000000001−521+52−1+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+52−1−52-22-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000002-21−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+520000
χ3322222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-20000000022-2-22-2000000000000002200-2-2002-22-2000000000000000000002-200
χ3422222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-20000000022-2-2-22000000000000002200-2-200-22-2200000000000000000000-2200
χ3522222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-200000000-2-2222-200000000000000-2-20022002-22-200000000000000000000-2200
χ3622222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-200000000-2-222-2200000000000000-2-2002200-22-22000000000000000000002-200
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002222-1-1-1-1-1-1-1-1-1-122-1-10000000000000022-1-1-1-1-1-100000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-1-1-1-1-1-1-1-111-2-21100000000000000-2-211111100000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-21111-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-211111111-1-122-1-100000000000000-2-21111-1-100000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-21111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-21111111111-2-2110000000000000022-1-1-1-11100000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-2-1-11111-2-2-2-2-1-1-1-1111111112222000022-2-2-1-1-1-11111-1-1-2-2-1-100000000000000-2211-1-11100000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-2-1-11111-2-2-2-2-1-1-1-111111111-2-2-2-2000022-2-2-1-1-1-11111112211000000000000002-2-1-111-1-100000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-1-111-2-2-2-2-1-1-1-11111111122220000-2-2221111-1-1-1-1-1-1-2-2-1-1000000000000002-2-1-1111100000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-1-111-2-2-2-2-1-1-1-111111111-2-2-2-20000-2-2221111-1-1-1-111221100000000000000-2211-1-1-1-100000000
χ452-2-2222-222-2-22-2-2-2-2222-2-222222-2-2-2-2-2-2220000002-22-22-2-2-22222-2-222-2-22-22-200000000000000002-22-22-2000000000000000000002-200000000
χ462-2-2222-222-2-22-2-2-2-2222-2-222222-2-2-2-2-2-2220000002-22-22-2-2-22222-2-222-2-2-22-220000000000000000-22-22-2200000000000000000000-2200000000
χ472-2-2222-222-2-22-2-2-2-222-22-222222-2-2-2-2-2-222000000-22-22-22-2-222-2-222-2-2222-22-200000000000000002-2-222-200000000000000000000-2200000000
χ482-2-2222-222-2-22-2-2-2-222-22-222222-2-2-2-2-2-222000000-22-22-22-2-222-2-222-2-222-22-220000000000000000-222-2-22000000000000000000002-200000000
χ492-2-222-2222-2-22-2-2-2-222002-222-2-222-2-2-2-22200000000000022-2-2000000002-2-22002-20000000000002-200-220000002-22-222-2-20000000000000000
χ502-2-222-2222-2-22-2-2-2-222002-222-2-222-2-2-2-22200000000000022-2-2000000002-2-2200-220000000000002-200-22000000-22-22-2-2220000000000000000
χ512-2-222-2222-2-22-2-2-2-222002-222-2-222-2-2-2-22200000000000022-2-200000000-222-2002-2000000000000-22002-20000002-22-2-2-2220000000000000000
χ522-2-222-2222-2-22-2-2-2-222002-222-2-222-2-2-2-22200000000000022-2-200000000-222-200-22000000000000-22002-2000000-22-2222-2-20000000000000000
χ532-2-22-12-22211-1-2-2-2-2222-21-1-1-122-2-21111-1-100−i3i3−i3i3-112-22-211-1-1-1-111-1-1112-22-200000000−i3i3−i3i3−i3i3−i3i3-112-2-110000000000000000−i3i3−i3i3-1100000000
χ542-2-22-12-22211-1-2-2-2-2222-21-1-1-122-2-21111-1-100−i3i3−i3i3-112-22-211-1-1-1-111-1-111-22-2200000000−i3i3−i3i3−i3i3−i3i31-1-221-10000000000000000i3−i3i3−i31-100000000
χ552-2-22-12-22211-1-2-2-2-2222-21-1-1-122-2-21111-1-100i3−i3i3−i3-112-22-211-1-1-1-111-1-1112-22-200000000i3−i3i3−i3i3−i3i3−i3-112-2-110000000000000000i3−i3i3−i3-1100000000
χ562-2-22-12-22211-1-2-2-2-2222-21-1-1-122-2-21111-1-100i3−i3i3−i3-112-22-211-1-1-1-111-1-111-22-2200000000i3−i3i3−i3i3−i3i3−i31-1-221-10000000000000000−i3i3−i3i31-100000000
χ572-2-22-12-22211-1-2-2-2-222-221-1-1-122-2-21111-1-100−i3i3i3−i31-1-22-2211-1-111-1-111-1-12-22-200000000−i3i3−i3i3i3−i3i3−i3-11-22-110000000000000000i3−i3−i3i31-100000000
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χ1118-88-8-400−2+25−2−254-442−25−2+252+25−2−252−252+2500001−51+50000−1+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−ζ10300000000000000000000000000000000000000000000000000000000
χ1128-88-8-400−2+25−2−254-442−25−2+252+25−2−252−252+2500001−51+50000−1+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+ζ10300000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-88−2−25−2+2544-42+252+252−252−25−2−25−2+2500-441+51−52+252−25−2−25−2+25−1−5−1−5−1+5−1+51+51−50000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-88−2+25−2−2544-42−252−252+252+25−2+25−2−2500-441−51+52−252+25−2+25−2−25−1+5−1+5−1−5−1−51−51+50000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000

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