Finite Group Databasebeta

← Group #14435921

Character table — Group #14435921

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222244444444444444448888888888888888888888888888101010101212121212121212121216161616161616161616202020202020242424242424242424242440404040404040404848606060606060120
order12223445566610101010101022121215152020202030303030303026666810101010242440404040606060601201201201201201201201204444444488202020201010303030303030303044121212122202020202020404040404812121212242410102444884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111111111111111111111111111111111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1111111-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1
χ61111111111111111111111111111111111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111
χ71111111111111111111111111111111111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1111
χ81111111111111111111111111111111111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11111111111-1-1-1
χ9111111111111111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11
χ10111111111111111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1111111111-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-11111-1-11111-1
χ12111111111111111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111111111-1111-1-111-1-111-1-1-1-11
χ13111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111-11-1-1-1-111-1-111-1-111-1
χ14111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-11
χ15111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111-11111-1-1-1-1-1-111-1-11
χ16111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-11-11111-1-11111-1-111-1
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+520000222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000002−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+520000000
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+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+520000-2-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-21+521−521+521+521−521−521+521+521−521−52000000001+521−520000000
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+52-222-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200002222-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−520000000
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+52-222-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-2-2-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000021+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+520000000
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+522-2-222-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000022-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000002−1−52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+520000000
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+522-2-222-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-222221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−520000000
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+52-2-2-2-2-221+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+52000022-2-222−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−52000000-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−520000000
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+52-2-2-2-2-221+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+520000-2-222-2-21+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000021+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+520000000
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+52−1−52−1−52−1−52−1−520000222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000002−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−520000000
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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−520000-2-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-21−521+521−521−521+521+521−521−521+521+52000000001−521+520000000
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+52−1−52-222-2-2-2−1+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+5200002222-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+520000000
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+52−1−52-222-2-2-2−1+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+520000-2-2-2-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000021−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−520000000
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+52−1−522-2-222-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000022-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000002−1+52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−520000000
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+52−1−522-2-222-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000-2-222221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+520000000
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+52−1−52-2-2-2-2-221−521−521+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+52−1−52−1−52−1−52−1−52000022-2-222−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+52000000-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+520000000
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+52−1−52-2-2-2-2-221−521−521+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+52−1−52−1−52−1−52−1−520000-2-222-2-21−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000021−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−520000000
χ3322222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000022-2-22-20000-2-2-2-200000000000022-2-2022000000000000000000-2200000
χ3422222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000022-2-2-220000222200000000000022-2-20-2-20000000000000000002-200000
χ3522222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000-2-2222-20000-2-2-2-2000000000000-2-2220220000000000000000002-200000
χ3622222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000-2-222-2200002222000000000000-2-2220-2-2000000000000000000-2200000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12-1-1-1-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000022-1-1-1-1-1-1-1-122-1-1-1-10000000000022-1-1-1-1-1-1000000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12-1-1-1-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000022-1-1-1-1-1-1-1-1-2-2111100000000000-2-2111111000000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-1-111-2222211-2-2-2-2-1-1-1-11111111122220000000000-2-2-1-1-1-1111122-1-1-1-100000000000-2-2-1-11111000000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-1-111-2222211-2-2-2-2-1-1-1-111111111-2-2-2-20000000000-2-2-1-1-1-11111-2-21111000000000002211-1-1-1-1000000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1211-1-1-2-2-2-2-211-2-2-2-2-1-1-1-11111111122220000000000221111-1-1-1-1-2-2-1-1-1-1000000000002-211-1-111000000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1211-1-1-2-2-2-2-211-2-2-2-2-1-1-1-111111111-2-2-2-20000000000221111-1-1-1-122111100000000000-22-1-111-1-1000000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-211112-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000-2-211111111-2-2-1-1-1-100000000000-221111-1-1000000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-211112-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-211111111221111000000000002-2-1-1-1-111000000000
χ452-22-222-2222-2-222-2-2-2-22-22-222-2-222-2-2-2-22202-20002-22-2000000-2-222000000002i−2i2i−2i0000000000002-22-200002i−2i2i−2i2i−2i00000000000002i−2i0000000000000
χ462-22-222-2222-2-222-2-2-2-22-22-222-2-222-2-2-2-22202-20002-22-2000000-2-22200000000−2i2i−2i2i0000000000002-22-20000−2i2i−2i2i−2i2i0000000000000−2i2i0000000000000
χ472-22-222-2222-2-222-2-2-2-2-222-222-2-222-2-2-2-2220-22000-22-22000000-2-222000000002i−2i2i−2i000000000000-22-220000−2i2i2i−2i2i−2i0000000000000−2i2i0000000000000
χ482-22-222-2222-2-222-2-2-2-2-222-222-2-222-2-2-2-2220-22000-22-22000000-2-22200000000−2i2i−2i2i000000000000-22-2200002i−2i−2i2i−2i2i00000000000002i−2i0000000000000
χ492-22-22-22222-2-222-2-2-2-200-222222-2-2-2-2-2-222000000000000000022-2-2000000002i−2i−2i2i002i−2i0000000000000000002i−2i−2i2i0002i−2i2i−2i00000000000000002-2000
χ502-22-22-22222-2-222-2-2-2-200-222222-2-2-2-2-2-222000000000000000022-2-2000000002i−2i−2i2i00−2i2i0000000000000000002i−2i−2i2i000−2i2i−2i2i0000000000000000-22000
χ512-22-22-22222-2-222-2-2-2-200-222222-2-2-2-2-2-222000000000000000022-2-200000000−2i2i2i−2i002i−2i000000000000000000−2i2i2i−2i0002i−2i2i−2i0000000000000000-22000
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χ1148-88-8-4-88−2−25−2+25-444−2−25−2+252+252−252+252−25004-41+51−5−2−25−2+252+252−25−1−5−1−5−1+5−1+51+51−500000000000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000
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χ1208-8-88-400−2+25−2−2544-42−252+252−252+25−2+25−2−2500001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000−2ζ29−2ζ31+2ζ61−2ζ71+2ζ79+2ζ101−2ζ109+2ζ1192ζ29+2ζ31−2ζ61+2ζ71−2ζ79−2ζ101+2ζ109−2ζ119−2ζ7−2ζ13+2ζ23+2ζ37−2ζ47−2ζ53+2ζ77+2ζ1032ζ7+2ζ13−2ζ23−2ζ37+2ζ47+2ζ53−2ζ77−2ζ1030000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−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+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ1030000000000000000000000000000000000000000000000000000000000

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