Finite Group Databasebeta

← Group #14329539

Character table — Group #14329539

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244444444444444444444444555588888888888888888888881010101010101010161616161616161616161616202020202020202020202030303030303030303030303030303030404040406060606060606060
order122234444666224445101010121212121212151530303030303022226612122020202020206060606060606060606060604444666610102020303030306060606022444121212121212444444444444444466121244444444
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
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1iii−i−i−ii−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−iii−i−i−i−i−i−iiiiiii-1-1-1-1−i−i−iiii−ii
χ5111111111111-1-11-1-11111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111
χ6111111111111-1-11-1-11111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-111-1-1
χ7111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii1111i−i−i−iiii−i
χ8111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i1111−iiii−i−i−ii
χ91111111-1-11111-1-11-1111111-1-1-1-11111111111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-11-111-1-111-1-11-1-11-111-1-1-1-111111111-1-11111-1-11-11-1-11-1-11-1-1-1
χ101111111-1-11111-1-11-1111111-1-1-1-11111111111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-11-111-1-111-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-11-111-1111
χ111111111-1-11111-1-11-1111111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-1-111-11-1-11111ii−i−iiiii−i−i−i−i−i−iii-11-11−ii−ii−ii−ii
χ121111111-1-11111-1-11-1111111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-1-111-11-1-11111−i−iii−i−i−i−iiiiiii−i−i-11-11i−ii−ii−ii−i
χ131111111-1-1111-11-1-11111111-1-1-1-1111111111111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11-11-1-111-1-111-11-1-1111-1-1-1-1111111-1-11111-1-111-11-11-1-11-1-11-1-1
χ141111111-1-1111-11-1-11111111-1-1-1-1111111111111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11-11-1-111-1-111-11-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1111-111-111
χ151111111-1-1111-11-1-11111111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1111-111-1-1-11111ii−i−iii−i−iii−i−iii−i−i1-11-1−i−iiii−i−ii
χ161111111-1-1111-11-1-11111111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1111-111-1-1-11111−i−iii−i−iii−i−iii−i−iii1-11-1ii−i−i−iii−i
χ1711111-1-11111111-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11111
χ1811111-1-11111111-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111111111111-1-11-1-11-1-1-1-1
χ1911111-1-11111111-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111-1-1ii−i−i−i−i−i−i−i−iiiiiii-1-111−iiii−i−ii−i
χ2011111-1-11111111-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111-1-1−i−iiiiiiiii−i−i−i−i−i−i-1-111i−i−i−iii−ii
χ2111111-1-111111-1-1-1111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-111-1-1-1-1111111-1-11111-1-11111-1-111-1-1-1-1-1-111
χ2211111-1-111111-1-1-1111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ2311111-1-111111-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i11-1-1−i−i−iiiii−i
χ2411111-1-111111-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiii11-1-1iii−i−i−i−ii
χ2511111-1-1-1-11111-11-111111-1-111-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-11-11-1-111-1-11111-1-1-1-111-1-1-1-1111-1-1111-111-1-1-1
χ2611111-1-1-1-11111-11-111111-1-111-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-11-11-1-111-1-1-1-1-1-11111-1-11111-1-11-1-11-1-11-1-1111
χ2711111-1-1-1-11111-11-111111-1-111-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-11-11-111-1-111ii−i−i−i−i−i−iiiiiii−i−i-111-1ii−i−i−ii−ii
χ2811111-1-1-1-11111-11-111111-1-111-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-11-11-111-1-111−i−iiiiiii−i−i−i−i−i−iii-111-1−i−iiii−ii−i
χ2911111-1-1-1-1111-1111-11111-1-111-1-1111111111111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1111-1-1-111-1-11111-1-111-1-1-1-111-1-1-111-11-111-11-1-1
χ3011111-1-1-1-1111-1111-11111-1-111-1-1111111111111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1111-1-1-111-1-1-1-1-1-111-1-11111-1-111-111-1-11-1-11-111
χ3111111-1-1-1-1111-1111-11111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11-1-1-1111-1-111ii−i−i−i−iii−i−iii−i−iii1-1-11i−ii−ii−i−ii
χ3211111-1-1-1-1111-1111-11111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11-1-1-1111-1-111−i−iiiii−i−iii−i−iii−i−i1-1-11−ii−ii−iii−i
χ332222-12222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ342222-12222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-21111110000000000000000111100000000
χ352222-12222-1-1-1-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-22-2-2-1-1-1-1-1-10000000000000000111100000000
χ362222-12222-1-1-1-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111122-2221111110000000000000000-1-1-1-100000000
χ372222-122-2-2-1-1-12-2-22-22222-1-11111-1-1-1-1-1-1-1-12222-11-1122-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-12-22-2-1-111-1-1112-2-22-2-1-111110000000000000000-11-1100000000
χ382222-122-2-2-1-1-12-2-22-22222-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-11-1122-2-2-2-2-1-1-1-111111111-2-22211112-22-2-1-111-1-111-222-2211-1-1-1-100000000000000001-11-100000000
χ392222-122-2-2-1-1-1-22-2-222222-1-11111-1-1-1-1-1-1-1-122221-11-122-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1-22-2211-1-111-1-1-22-2-22-1-1111100000000000000001-11-100000000
χ402222-122-2-2-1-1-1-22-2-222222-1-11111-1-1-1-1-1-1-1-1-2-2-2-21-11-122-2-2-2-2-1-1-1-111111111-2-2221111-22-2211-1-111-1-12-222-211-1-1-1-10000000000000000-11-1100000000
χ412222-1-2-222-1-1-122-2-2-222221111-1-1-1-1-1-1-1-1-1-12222-1-111-2-2-2-22211111111-1-1-1-1-2-222-1-1-1-122-2-2-1-1-1-1111122-2-2-21111-1-10000000000000000-1-11100000000
χ422222-1-2-222-1-1-122-2-2-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-2-22211111111-1-1-1-122-2-2111122-2-2-1-1-1-11111-2-2222-1-1-1-111000000000000000011-1-100000000
χ432222-1-2-222-1-1-1-2-2-22222221111-1-1-1-1-1-1-1-1-1-1222211-1-1-2-2-2-22211111111-1-1-1-1-2-222-1-1-1-1-2-2221111-1-1-1-1-2-2-2221111-1-1000000000000000011-1-100000000
χ442222-1-2-222-1-1-1-2-2-22222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-1-2-2-2-22211111111-1-1-1-122-2-21111-2-2221111-1-1-1-1222-2-2-1-1-1-1110000000000000000-1-11100000000
χ452222-1-2-2-2-2-1-1-12-22-22222211-1-111-1-1-1-1-1-1-1-12222-111-1-2-222-2-21111-1-1-1-11111-2-2-2-2-1-1-1-12-2-22-1-11111-1-12-22-2211-1-1110000000000000000-111-100000000
χ462222-1-2-2-2-2-1-1-12-22-22222211-1-111-1-1-1-1-1-1-1-1-2-2-2-2-111-1-2-222-2-21111-1-1-1-11111222211112-2-22-1-11111-1-1-22-22-2-1-111-1-100000000000000001-1-1100000000
χ472222-1-2-2-2-2-1-1-1-2222-2222211-1-111-1-1-1-1-1-1-1-122221-1-11-2-222-2-21111-1-1-1-11111-2-2-2-2-1-1-1-1-222-211-1-1-1-111-2222-211-1-11100000000000000001-1-1100000000
χ482222-1-2-2-2-2-1-1-1-2222-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-21-1-11-2-222-2-21111-1-1-1-1111122221111-222-211-1-1-1-1112-2-2-22-1-111-1-10000000000000000-111-100000000
χ4922-2-222i−2i002-2-20000022-2-22i−2i00002222-2-2-2-22-2-2200002i−2i00002i2i−2i−2i000000002i−2i0022-2-2000000000000000002i−2i00002i−2i2i−2i2-200002-20000000000000000
χ5022-2-222i−2i002-2-20000022-2-22i−2i00002222-2-2-2-22-2-2200002i−2i00002i2i−2i−2i000000002i−2i0022-2-2000000000000000002i−2i0000−2i2i−2i2i-220000-220000000000000000
χ5122-2-222i−2i002-2-20000022-2-22i−2i00002222-2-2-2-2-222-200002i−2i00002i2i−2i−2i00000000−2i2i00-2-22200000000000000000−2i2i00002-2-22−2i2i00002i−2i0000000000000000
χ5222-2-222i−2i002-2-20000022-2-22i−2i00002222-2-2-2-2-222-200002i−2i00002i2i−2i−2i00000000−2i2i00-2-22200000000000000000−2i2i0000-222-22i−2i0000−2i2i0000000000000000
χ5322-2-22−2i2i002-2-20000022-2-2−2i2i00002222-2-2-2-22-2-220000−2i2i0000−2i−2i2i2i00000000−2i2i0022-2-200000000000000000−2i2i00002i−2i2i−2i-220000-220000000000000000
χ5422-2-22−2i2i002-2-20000022-2-2−2i2i00002222-2-2-2-22-2-220000−2i2i0000−2i−2i2i2i00000000−2i2i0022-2-200000000000000000−2i2i0000−2i2i−2i2i2-200002-20000000000000000
χ5522-2-22−2i2i002-2-20000022-2-2−2i2i00002222-2-2-2-2-222-20000−2i2i0000−2i−2i2i2i000000002i−2i00-2-222000000000000000002i−2i00002-2-222i−2i0000−2i2i0000000000000000
χ5622-2-22−2i2i002-2-20000022-2-2−2i2i00002222-2-2-2-2-222-20000−2i2i0000−2i−2i2i2i000000002i−2i00-2-222000000000000000002i−2i0000-222-2−2i2i00002i−2i0000000000000000
χ572-2-222002-2-2-22000002-2-2200002-222-2-2-2-22222-2-2000000002-20000000022-2-2002-22-22-20000000000000000000002-20000002i−2i2i−2i002i−2i2i−2i000000000000
χ582-2-222002-2-2-22000002-2-2200002-222-2-2-2-22222-2-2000000002-20000000022-2-2002-22-22-20000000000000000000002-2000000−2i2i−2i2i00−2i2i−2i2i000000000000
χ592-2-222002-2-2-22000002-2-2200002-222-2-2-2-222-2-222000000002-20000000022-2-200-22-22-22000000000000000000000-220000002-22-200-22-22000000000000
χ602-2-222002-2-2-22000002-2-2200002-222-2-2-2-222-2-222000000002-20000000022-2-200-22-22-22000000000000000000000-22000000-22-22002-22-2000000000000
χ612-2-22200-22-2-22000002-2-220000-2222-2-2-2-22222-2-200000000-2200000000-2-22200-222-22-2000000000000000000000-220000002i−2i−2i2i002i−2i−2i2i000000000000
χ622-2-22200-22-2-22000002-2-220000-2222-2-2-2-22222-2-200000000-2200000000-2-22200-222-22-2000000000000000000000-22000000−2i2i2i−2i00−2i2i2i−2i000000000000
χ632-2-22200-22-2-22000002-2-220000-2222-2-2-2-222-2-22200000000-2200000000-2-222002-2-22-220000000000000000000002-20000002-2-2200-222-2000000000000
χ642-2-22200-22-2-22000002-2-220000-2222-2-2-2-222-2-22200000000-2200000000-2-222002-2-22-220000000000000000000002-2000000-222-2002-2-22000000000000
χ6544444444444444444-1-1-1-1444444-1-1-1-1-1-1-1-100004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ66444444444444-4-44-4-4-1-1-1-1444444-1-1-1-1-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111111111111000000000000000000000000000000000000000
χ674444444-4-44444-4-44-4-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-100004-44-4-1-11111-1-1-1-11111111100000000-11-11-1-111-1-111000000000000000000000000000000000000000
χ684444444-4-4444-44-4-44-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-10000-44-44-1-11111-1-1-1-111111111000000001-11-111-1-111-1-1000000000000000000000000000000000000000
χ6944444-4-44444444-4-4-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1000044-4-41111-1-111111111-1-1-1-100000000-1-111-1-1-1-11111000000000000000000000000000000000000000
χ7044444-4-444444-4-4-444-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-10000-4-4441111-1-111111111-1-1-1-10000000011-1-11111-1-1-1-1000000000000000000000000000000000000000
χ7144444-4-4-4-44444-44-44-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-100004-4-4411-1-1111111-1-1-1-1111100000000-111-1-1-11111-1-1000000000000000000000000000000000000000
χ7244444-4-4-4-4444-4444-4-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-10000-444-411-1-1111111-1-1-1-11111000000001-1-1111-1-1-1-111000000000000000000000000000000000000000
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χ10588-8-8-48i−8i00-44400000-2-222−4i4i00001−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i1500000000−2i2i00002ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ470000000000000000000000000000000000000000000000000000000000000000000
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χ1138-88-8-400004-4400000-22-2200−4343001−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i150000000000−2i52i5000000−2ζ7+2ζ11−2ζ43+2ζ592ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ19−2ζ23+2ζ31−2ζ47000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-400004-4400000-22-2200−4343001+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i1500000000002i5−2i5000000−2ζ19+2ζ23−2ζ31+2ζ472ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ7−2ζ11+2ζ43−2ζ59000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888008-8-8-8800000-222-200008-8-2-22222-2-2000000000000-2200000000-2-22200000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4008-844-400000-222-20000-441−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i15000000000000-22000000001−i151+i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000
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χ1198-8-88-400-8844-400000-222-200004-41−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i150000000000002-200000000−1+i15−1−i151−i151+i1500000000000000000000000000000000000000000000000000000000000
χ1208-8-88-400-8844-400000-222-200004-41+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i150000000000002-200000000−1−i15−1+i151+i151−i1500000000000000000000000000000000000000000000000000000000000

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