Finite Group Databasebeta

← Group #14328120

Character table — Group #14328120

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244444444444444444444444555588888888888888888888881010101010101010161616161616161616161616202020202020202020202030303030303030303030303030303030404040406060606060606060
order12222222366622444566666610101015153030303030302222610101010101012121230303030303030303030303022226666102020203030606060606060224446666664444444444444444612121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1−i−iii−i−iii
χ51111111111111-1-1-1-11111111111111111111111-1111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11-11-11-11-1
χ61111111111111-1-1-1-11111111111111111111111-1111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-11-11-11-11
χ71111111111111-1-1-1-1111111111111111111-1-1-1-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii1111i−i−iii−i−ii
χ81111111111111-1-1-1-1111111111111111111-1-1-1-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i1111−iii−i−iii−i
χ9111111-1-11111-111-1-1111-1-1-1-1111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-11-11
χ10111111-1-11111-111-1-1111-1-1-1-1111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111-11-1
χ11111111-1-11111-111-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11111ii−i−i−i−iiiiiii−i−i−i−i-1-111−i−iii−iii−i
χ12111111-1-11111-111-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11111−i−iiiii−i−i−i−i−i−iiiii-1-111ii−i−ii−i−ii
χ13111111-1-11111-1-1-111111-1-1-1-1111111111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111-11-11-1-1-1-1
χ14111111-1-11111-1-1-111111-1-1-1-1111111111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-11111
χ15111111-1-11111-1-1-111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii11-1-1−iii−i−i−iii
χ16111111-1-11111-1-1-111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i11-1-1i−i−iiii−i−i
χ171111-1-1111111-11-11-11-1-111-1-11111111111111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111111-11-111-1-111-1-1-11-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-11-11
χ181111-1-1111111-11-11-11-1-111-1-11111111111111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111111-11-111-1-111-1-1-11-11-1-1-111-1-1-1-111-1-111111111111-11-1-1-1-1-11-11-1
χ191111-1-1111111-11-11-11-1-111-1-111111111111-1-1-1-11-1-111-1-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-11-1111-1-111ii−i−i−i−iii−i−i−i−iiiii-11-11ii−i−i−iii−i
χ201111-1-1111111-11-11-11-1-111-1-111111111111-1-1-1-11-1-111-1-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-11-1111-1-111−i−iiiii−i−iiiii−i−i−i−i-11-11−i−iiii−i−ii
χ211111-1-1111111-1-11-111-1-111-1-1111111111111111-1-1-111-1-11-11-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-111-1-111-1-11-11-1-111-1-111111111-1-111-1-111-11-111-11-1-1-1-1-1
χ221111-1-1111111-1-11-111-1-111-1-1111111111111111-1-1-111-1-11-11-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-111-1-111-1-11-11-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11-11-111111
χ231111-1-1111111-1-11-111-1-111-1-111111111111-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-11111-11-111-1-111iiii−i−i−i−i−i−iiiii−i−i1-11-1i−i−ii−i−iii
χ241111-1-1111111-1-11-111-1-111-1-111111111111-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-11111-11-111-1-111−i−i−i−iiiiiii−i−i−i−iii1-11-1−iii−iii−i−i
χ251111-1-1-1-1111111-1-111-1-1-1-1111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111
χ261111-1-1-1-1111111-1-111-1-1-1-1111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1
χ271111-1-1-1-1111111-1-111-1-1-1-11111111111111-1-1-1-11-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-111-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−i−iiiii−i−i
χ281111-1-1-1-1111111-1-111-1-1-1-11111111111111-1-1-1-11-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-111-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1ii−i−i−i−iii
χ291111-1-1-1-111111-111-11-1-1-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-111-1-1-1-1-11111-1-111-1-1-1-111-1-111-111-1-11-111-11-1
χ301111-1-1-1-111111-111-11-1-1-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-111-1-1-1-1-111-1-111-1-11111-1-111-1-1-111-11-11-1-11-11
χ311111-1-1-1-111111-111-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11-1-111111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−ii−i−ii
χ321111-1-1-1-111111-111-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11-1-111111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii−iii−i
χ3322222222-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ3422222222-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-21111110000000000000000111100000000
χ3522222222-1-1-1-12-2-2-2-22-1-1-1-1-1-1222-1-1-1-1-1-1-1-122221222222111-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111112-2-2-2-2-1-1-1-1-1-10000000000000000111100000000
χ3622222222-1-1-1-12-2-2-2-22-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-21222222111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111-222221111110000000000000000-1-1-1-100000000
χ37222222-2-2-1-1-1-1-222-2-22-1-11111222-1-1-1-1-1-1-1-12222-122-2-2-2-2-111-1-1-1-11111111122-2-2-1-1-1-122-2-2-1-1-1-11111-222-2-2-1-111110000000000000000-1-11100000000
χ38222222-2-2-1-1-1-1-222-2-22-1-11111222-1-1-1-1-1-1-1-1-2-2-2-2-122-2-2-2-2-111-1-1-1-111111111-2-222111122-2-2-1-1-1-111112-2-22211-1-1-1-1000000000000000011-1-100000000
χ39222222-2-2-1-1-1-1-2-2-2222-1-11111222-1-1-1-1-1-1-1-12222122-2-2-2-21-1-1-1-1-1-11111111122-2-2-1-1-1-1-2-2221111-1-1-1-1-2-2-222-1-11111000000000000000011-1-100000000
χ40222222-2-2-1-1-1-1-2-2-2222-1-11111222-1-1-1-1-1-1-1-1-2-2-2-2122-2-2-2-21-1-1-1-1-1-111111111-2-2221111-2-2221111-1-1-1-1222-2-211-1-1-1-10000000000000000-1-11100000000
χ412222-2-222-1-1-1-1-22-22-2211-1-111222-1-1-1-1-1-1-1-12222-1-2-222-2-21-111111-1-1-1-11111-2-222-1-1-1-12-22-2-1-111-1-111-22-22-211-1-1110000000000000000-11-1100000000
χ422222-2-222-1-1-1-1-22-22-2211-1-111222-1-1-1-1-1-1-1-1-2-2-2-2-1-2-222-2-21-111111-1-1-1-1111122-2-211112-22-2-1-111-1-1112-22-22-1-111-1-100000000000000001-11-100000000
χ432222-2-222-1-1-1-1-2-22-22211-1-111222-1-1-1-1-1-1-1-122221-2-222-2-2-11-11111-1-1-1-11111-2-222-1-1-1-1-22-2211-1-111-1-1-2-22-2211-1-11100000000000000001-11-100000000
χ442222-2-222-1-1-1-1-2-22-22211-1-111222-1-1-1-1-1-1-1-1-2-2-2-21-2-222-2-2-11-11111-1-1-1-1111122-2-21111-22-2211-1-111-1-122-22-2-1-111-1-10000000000000000-11-1100000000
χ452222-2-2-2-2-1-1-1-122-2-2221111-1-1222-1-1-1-1-1-1-1-12222-1-2-2-2-22211-111111111-1-1-1-1-2-2-2-2-1-1-1-12-2-22-1-11111-1-122-2-221111-1-10000000000000000-111-100000000
χ462222-2-2-2-2-1-1-1-122-2-2221111-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-2-22211-111111111-1-1-1-1222211112-2-22-1-11111-1-1-2-222-2-1-1-1-11100000000000000001-1-1100000000
χ472222-2-2-2-2-1-1-1-12-222-221111-1-1222-1-1-1-1-1-1-1-122221-2-2-2-222-1-1111111111-1-1-1-1-2-2-2-2-1-1-1-1-222-211-1-1-1-1112-222-21111-1-100000000000000001-1-1100000000
χ482222-2-2-2-2-1-1-1-12-222-221111-1-1222-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-222-1-1111111111-1-1-1-122221111-222-211-1-1-1-111-22-2-22-1-1-1-1110000000000000000-111-100000000
χ4922-2-2002-222-2-2000002002-2002-2-22222-2-2-2-222-2-20002-200000000022-2-20000002-222-2-200000000000000000002-200002i−2i002i−2i002i−2i002i−2i000000000000
χ5022-2-2002-222-2-2000002002-2002-2-22222-2-2-2-222-2-20002-200000000022-2-20000002-222-2-200000000000000000002-20000−2i2i00−2i2i00−2i2i00−2i2i000000000000
χ5122-2-2002-222-2-2000002002-2002-2-22222-2-2-2-2-2-2220002-200000000022-2-2000000-22-2-2220000000000000000000-2200002-200-22002-200-22000000000000
χ5222-2-2002-222-2-2000002002-2002-2-22222-2-2-2-2-2-2220002-200000000022-2-2000000-22-2-2220000000000000000000-220000-22002-200-22002-2000000000000
χ5322-2-200-2222-2-200000200-22002-2-22222-2-2-2-222-2-2000-22000000000-2-222000000-2222-2-20000000000000000000-2200002i−2i002i−2i00−2i2i00−2i2i000000000000
χ5422-2-200-2222-2-200000200-22002-2-22222-2-2-2-222-2-2000-22000000000-2-222000000-2222-2-20000000000000000000-220000−2i2i00−2i2i002i−2i002i−2i000000000000
χ5522-2-200-2222-2-200000200-22002-2-22222-2-2-2-2-2-222000-22000000000-2-2220000002-2-2-22200000000000000000002-200002-200-2200-22002-2000000000000
χ5622-2-200-2222-2-200000200-22002-2-22222-2-2-2-2-2-222000-22000000000-2-2220000002-2-2-22200000000000000000002-20000-22002-2002-200-22000000000000
χ572-22-22-2002-22-20000022-20000-22-222-2-222-2-22-22-202-2000000022-2-2000000002-2002-22-2000000000000000002-200002i−2i002i−2i002i−2i002i−2i00000000000000
χ582-22-22-2002-22-20000022-20000-22-222-2-222-2-22-22-202-2000000022-2-2000000002-2002-22-2000000000000000002-20000−2i2i00−2i2i00−2i2i00−2i2i00000000000000
χ592-22-22-2002-22-20000022-20000-22-222-2-222-2-2-22-2202-2000000022-2-200000000-2200-22-2200000000000000000-2200002-200-22002-200-2200000000000000
χ602-22-22-2002-22-20000022-20000-22-222-2-222-2-2-22-2202-2000000022-2-200000000-2200-22-2200000000000000000-220000-22002-200-22002-200000000000000
χ612-22-2-22002-22-2000002-220000-22-222-2-222-2-22-22-20-220000000-2-22200000000-22002-22-200000000000000000-2200002i−2i002i−2i00−2i2i00−2i2i00000000000000
χ622-22-2-22002-22-2000002-220000-22-222-2-222-2-22-22-20-220000000-2-22200000000-22002-22-200000000000000000-220000−2i2i00−2i2i002i−2i002i−2i00000000000000
χ632-22-2-22002-22-2000002-220000-22-222-2-222-2-2-22-220-220000000-2-222000000002-200-22-22000000000000000002-200002-200-2200-22002-200000000000000
χ642-22-2-22002-22-2000002-220000-22-222-2-222-2-2-22-220-220000000-2-222000000002-200-22-22000000000000000002-20000-22002-2002-200-2200000000000000
χ6544444444444444444-1444444-1-1-1-1-1-1-1-1-1-1-100004-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ664444444444444-4-4-4-4-1444444-1-1-1-1-1-1-1-1-1-1-10000-4-1-1-1-1-1-1-4-4-4-1-1-1-1-1-1-1-1-1-1-1-100000000111111111111000000000000000000000000000000000000000
χ6744444444-2-2-2-244444-1-2-2-2-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-2-1-1-1-1-1-1-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15200000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000000000
χ6844444444-2-2-2-244444-1-2-2-2-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-2-1-1-1-1-1-1-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15200000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000000000
χ6944444444-2-2-2-24-4-4-4-4-1-2-2-2-2-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200002-1-1-1-1-1-12221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152000000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000000000
χ7044444444-2-2-2-24-4-4-4-4-1-2-2-2-2-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200002-1-1-1-1-1-12221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152000000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000000000
χ71444444-4-44444-444-4-4-144-4-4-4-4-1-1-1-1-1-1-1-1-1-1-100004-1-111114-4-4-1-1-1-11111111100000000-1-111-1-1-1-11111000000000000000000000000000000000000000
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χ1208-8-880000-444-400000-200004i3−4i322-21+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i1500000000025−2500000000000−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ5800000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.