Finite Group Databasebeta

← Group #14454363

Character table — Group #14454363

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444444466888888888888888888881212121212121212121212121212121212121216161616161616161616161620202020202020202020242440404040404040484848486060120120120
order1222344556661010101010108812121515202020203030303030304040404040404040442266662424606060601201201201201201201201202881010101020202020404040404040404010101010303030303030303022244466121244668121224242020202044248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11-1-111-1-1-1-111-1-11
χ5111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-111-1-1111111-1-11
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-11-1-1111111-1-111-1
χ9111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1111111-111-1-1-1-1-111-1-111-11-1
χ10111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-11111111-1-1-1-11-11
χ11111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-111
χ12111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-11-1-1-111-1-1-1-111111-1-1
χ13111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111-1-111111-1111-1-1-1-1-1-1-111-1-11-11
χ14111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111111-1-11111-11-1
χ15111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1111-1-11111-1-1111-1-1
χ16111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111111111-1-1-1-111-1-111-1-1-1-1-111
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+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+520000000000220000000−1−52−1+52−1−52−1+5200000
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+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+521−521−520000000000-2-200000001+521−521+521−5200000
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-200000001+521−521+521−5200000
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521−521+521−521+521+521−521−521+521+521−521−520000000000220000000−1−52−1+52−1−52−1+5200000
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+521+521+521+521+521−521−521−521−52222-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-20000000−1−52−1+521+521−5200000
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+521+521+521+521+521−521−521−521−5222-22-2-222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000-2200000001+521−52−1−52−1+5200000
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+521+521+521+521+521−521−521−521−52-2-22-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-2200000001+521−52−1−52−1+5200000
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+521+521+521+521+521−521−521−521−52-2-2-22-2-222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000002-20000000−1−52−1+521+521−5200000
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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−520000000000220000000−1+52−1−52−1+52−1−5200000
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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+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+520000000000-2-200000001−521+521−521+5200000
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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-200000001−521+521−521+5200000
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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521+521−521+521−521−521+521+521−521−521+521+520000000000220000000−1+52−1−52−1+52−1−5200000
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+52−1−521−521−521−521−521+521+521+521+52222-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000002-20000000−1+52−1−521−521+5200000
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+52−1−521−521−521−521−521+521+521+521+5222-22-2-222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000-2200000001−521+52−1+52−1−5200000
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+52−1−521−521−521−521−521+521+521+521+52-2-22-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000-2200000001−521+52−1+52−1−5200000
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+52−1−521−521−521−521−521+521+521+521+52-2-2-22-2-222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000002-20000000−1+52−1−521−521+5200000
χ3322222-2-22222222222200-2-222-2-2-2-2222222000000002200000000-2-2-2-200000000-200-2-2-2-222220000000000000000000000200-222-2-20000000000000-22000
χ3422222-2-22222222222200-2-222-2-2-2-2222222000000002200000000-2-2-2-200000000-200-2-2-2-222220000000000000000000000-2002-2-22200000000000002-2000
χ3522222-2-22222222222200-2-222-2-2-2-222222200000000-2-200000000-2-2-2-2000000002002222-2-2-2-20000000000000000000000200-222-2-200000000000002-2000
χ3622222-2-22222222222200-2-222-2-2-2-222222200000000-2-200000000-2-2-2-2000000002002222-2-2-2-20000000000000000000000-2002-2-2220000000000000-22000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1222222220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002222-1-1-1-1-1-1-1-1222222-1-1-1-100-1-12-1-1-1-1000000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1222222220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002222-1-1-1-1-1-1-1-1-2-2-2-2-2-211110011-21111000000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222200-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2-2-21111111122-222-2111100-1-1-2-1-111000000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222200-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2-2-211111111-2-22-2-22-1-1-1-10011211-1-1000000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2002-2-1-11111-1-1-1-111111111000000000000000000022-2-2-1-1-1-11111222-2-22-1-1-1-100-1-1-21111000000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2002-2-1-11111-1-1-1-111111111000000000000000000022-2-2-1-1-1-11111-2-2-222-2111100112-1-1-1-1000000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-200-2211-1-111-1-1-1-1111111110000000000000000000-2-2221111-1-1-1-122-2-2-2-2111100-1-1211-1-1000000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-200-2211-1-111-1-1-1-1111111110000000000000000000-2-2221111-1-1-1-1-2-22222-1-1-1-10011-2-1-111000000000
χ452-2-2222-222-2-22-2-222-2-22-2-2222-2-222-2-2-2-22222-2-222-2-2000000002-2-2-22222-2-222-2-200000000000000000000000000000002-202-200000002-202-200000000000
χ462-2-2222-222-2-22-2-222-2-22-2-2222-2-222-2-2-2-22222-2-222-2-2000000002-2-2-22222-2-222-2-20000000000000000000000000000000-220-220000000-220-2200000000000
χ472-2-2222-222-2-22-2-222-2-2-22-2222-2-222-2-2-2-222-2-222-2-22200000000-22-2-222-2-222-2-22200000000000000000000000000000002-20-2200000002-20-2200000000000
χ482-2-2222-222-2-22-2-222-2-2-22-2222-2-222-2-2-2-222-2-222-2-22200000000-22-2-222-2-222-2-2220000000000000000000000000000000-2202-20000000-2202-200000000000
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χ1228-8-88-4-88−2−25−2+2544-42+252−25−2−25−2+252+252−2500-441+51−5−2−25−2+252+252−25−1−5−1−5−1+5−1+51+51−50000000000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-88−2+25−2−2544-42−252+25−2+25−2−252−252+2500-441−51+5−2+25−2−252−252+25−1+5−1+5−1−5−1−51−51+50000000000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000

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