Finite Group Databasebeta

← Group #72226073

Character table — Group #72226073

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222244444444444444444444444444448888888888888888888888888888881212121212121212161616161616161624242424242424242424242432323232323232324848484848484848
order12223444444444466624888888881212121212121212121224242424242424246121616161616161616242424244848484848484848484848484848484888888888222244448888161616161616161666661212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ1011111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ1111111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii
χ1211111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i
χ1311111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-11111-1-1ii−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-11111-1-1−i−iiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ1711111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111-11-11-11-1-1-1-1-111-1-111-1-11-11-11-11-11-11-11-11-1
χ1811111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-11-11-11-11-1-1-1-111-1-111-1-1-11-11-11-11-11-11-11-11
χ1911111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-111-1-1111-11-11-11-1-11-11-11-11
χ2011111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111111-1-111-1-111-11-11-11-111-11-11-11-1
χ2111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111111111111-1-111-1-11-1-1-1-1-1-111-1-1111-1-111-1-111-11-1-11-11
χ2211111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-111-1-111-1-1-1-1-1-1-111-1-111-111-1-111-1-11-111-11-1
χ2311111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-111-1-11-1-111-1-11-11-111-11-1
χ2411111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1111111-1-111-1-1-111-1-111-11-11-1-11-11
χ2511111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1-11-1-11-11−i−iiiii−i−i−i−iii1-11-1-11-11i−i−iii−i−ii
χ2611111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-11-111-11-1−i−iiiii−i−i−i−iii-11-111-11-1−iii−i−iii−i
χ2711111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1-11-1-11-11ii−i−i−i−iiiii−i−i1-11-1-11-11−iii−i−iii−i
χ2811111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-11-111-11-1ii−i−i−i−iiiii−i−i-11-111-11-1i−i−iii−i−ii
χ2911111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i1-1-11-111-1−i−iii−i−iiiii−i−i1-1-11-111-1i−i−ii−iii−i
χ3011111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-111-11-1-11−i−iii−i−iiiii−i−i-111-11-1-11−iii−ii−i−ii
χ3111111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii1-1-11-111-1ii−i−iii−i−i−i−iii1-1-11-111-1−iii−ii−i−ii
χ3211111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-111-11-1-11ii−i−iii−i−i−i−iii-111-11-1-11i−i−ii−iii−i
χ3322222222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22200000000-2-2-2-2000000000000000022-2-222-2-2000000002-22-2000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22200000000-2-2-2-20000000000000000-2-222-2-22200000000-22-22000000000000000000000000
χ3522222222222-2-2-2-2222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2-2-200000000222200000000000000002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i000000000000000000000000
χ3622222222222-2-2-2-2222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2-2-20000000022220000000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i000000000000000000000000
χ3722222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-200000000-2-222000000000000000022-2-222-2-200000000-22-22000000000000000000000000
χ3822222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-200000000-2-2220000000000000000-2-222-2-222000000002-22-2000000000000000000000000
χ3922222-2-2-2-222-2-2-2-22222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2220000000022-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i000000000000000000000000
χ4022222-2-2-2-222-2-2-2-22222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2220000000022-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i000000000000000000000000
χ412222-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222000000000000-1-1-1-1-1-1-1-100000000
χ422222-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-20000000000001111111100000000
χ432222-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000022-2-222-2-2000000000000-1-111-1-11100000000
χ442222-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000-2-222-2-22200000000000011-1-111-1-100000000
χ452222-1222222-2-2-2-2-1-1-1-2-222-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1112222-2-2-2-21111-1-1-1-1-1-1-1-111111111000000002222-2-2-2-2000000000000-1-1-1-1111100000000
χ462222-1222222-2-2-2-2-1-1-1-2-222-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1112222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000-2-2-2-222220000000000001111-1-1-1-100000000
χ472222-1222222-2-2-2-2-1-1-1-2-222-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-2-2-2-22222111111111111-1-1-1-1-1-1-1-10000000022-2-2-2-222000000000000-1-11111-1-100000000
χ482222-1222222-2-2-2-2-1-1-1-2-222-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000-2-22222-2-200000000000011-1-1-1-11100000000
χ492222-1-2-2-2-2222222-1-1-1-2-2-2-2-2-222221111-1-1-1-1-1-11111-1-1-1-11122-2-222-2-2-1-111-1-1-1-11111-1-1-1-11111000000002-22-22-22-2000000000000-11-11-11-1100000000
χ502222-1-2-2-2-2222222-1-1-1-2-2-2-2-2-222221111-1-1-1-1-1-11111-1-1-1-11122-2-222-2-2-1-111-1-1-1-11111-1-1-1-1111100000000-22-22-22-220000000000001-11-11-11-100000000
χ512222-1-2-2-2-2222222-1-1-1-2-2-2-2-2-222221111-1-1-1-1-1-11111-1-1-1-111-2-222-2-222-1-1111111-1-1-1-11111-1-1-1-1000000002-2-222-2-22000000000000-111-1-111-100000000
χ522222-1-2-2-2-2222222-1-1-1-2-2-2-2-2-222221111-1-1-1-1-1-11111-1-1-1-111-2-222-2-222-1-1111111-1-1-1-11111-1-1-1-100000000-222-2-222-20000000000001-1-111-1-1100000000
χ532222-1-2-2-2-222-2-2-2-2-1-1-122-2-22222-2-211111111-1-11111-1-1-1-1-1-122-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-1000000002-22-2-22-22000000000000-11-111-11-100000000
χ542222-1-2-2-2-222-2-2-2-2-1-1-122-2-22222-2-211111111-1-11111-1-1-1-1-1-122-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100000000-22-222-22-20000000000001-11-1-11-1100000000
χ552222-1-2-2-2-222-2-2-2-2-1-1-122-2-22222-2-211111111-1-11111-1-1-1-1-1-1-2-22222-2-211-1-11111-1-1-1-1-1-1-1-11111000000002-2-22-222-2000000000000-111-11-1-1100000000
χ562222-1-2-2-2-222-2-2-2-2-1-1-122-2-22222-2-211111111-1-11111-1-1-1-1-1-1-2-22222-2-211-1-11111-1-1-1-1-1-1-1-1111100000000-222-22-2-220000000000001-1-11-111-100000000
χ5722-2-2200002-22i2i−2i−2i2-2-20000002-22i−2i00002i2i−2i−2i2-2000022-2-200002-2002i−2i2i−2i00000022-2-200002i2i−2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ5822-2-2200002-22i2i−2i−2i2-2-20000002-22i−2i00002i2i−2i−2i2-2000022-2-200002-2002i−2i2i−2i00000022-2-200002i2i−2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ5922-2-2200002-22i2i−2i−2i2-2-20000002-22i−2i00002i2i−2i−2i2-2000022-2-20000-2200−2i2i2i−2i000000-2-2220000−2i−2i2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ6022-2-2200002-22i2i−2i−2i2-2-20000002-22i−2i00002i2i−2i−2i2-2000022-2-20000-2200−2i2i2i−2i000000-2-2220000−2i−2i2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ6122-2-2200002-22i2i−2i−2i2-2-2000000-22−2i2i00002i2i−2i−2i2-20000-2-222002-2002i−2i00−2i2i0022-2-200002i2i−2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ6222-2-2200002-22i2i−2i−2i2-2-2000000-22−2i2i00002i2i−2i−2i2-20000-2-222002-2002i−2i00−2i2i0022-2-200002i2i−2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ6322-2-2200002-22i2i−2i−2i2-2-2000000-22−2i2i00002i2i−2i−2i2-20000-2-22200-2200−2i2i00−2i2i00-2-2220000−2i−2i2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ6422-2-2200002-22i2i−2i−2i2-2-2000000-22−2i2i00002i2i−2i−2i2-20000-2-22200-2200−2i2i00−2i2i00-2-2220000−2i−2i2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ6522-2-2200002-2−2i−2i2i2i2-2-20000002-2−2i2i0000−2i−2i2i2i2-2000022-2-200002-200−2i2i−2i2i00000022-2-20000−2i−2i2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ6622-2-2200002-2−2i−2i2i2i2-2-20000002-2−2i2i0000−2i−2i2i2i2-2000022-2-200002-200−2i2i−2i2i00000022-2-20000−2i−2i2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ6722-2-2200002-2−2i−2i2i2i2-2-20000002-2−2i2i0000−2i−2i2i2i2-2000022-2-20000-22002i−2i−2i2i000000-2-22200002i2i−2i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ6822-2-2200002-2−2i−2i2i2i2-2-20000002-2−2i2i0000−2i−2i2i2i2-2000022-2-20000-22002i−2i−2i2i000000-2-22200002i2i−2i−2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ6922-2-2200002-2−2i−2i2i2i2-2-2000000-222i−2i0000−2i−2i2i2i2-20000-2-222002-200−2i2i002i−2i0022-2-20000−2i−2i2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ7022-2-2200002-2−2i−2i2i2i2-2-2000000-222i−2i0000−2i−2i2i2i2-20000-2-222002-200−2i2i002i−2i0022-2-20000−2i−2i2i2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ7122-2-2200002-2−2i−2i2i2i2-2-2000000-222i−2i0000−2i−2i2i2i2-20000-2-22200-22002i−2i002i−2i00-2-22200002i2i−2i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ7222-2-2200002-2−2i−2i2i2i2-2-2000000-222i−2i0000−2i−2i2i2i2-20000-2-22200-22002i−2i002i−2i00-2-22200002i2i−2i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ734444444-4-4-4-44-44-44444-40000000044-4-44-44-4-4-4000000004-4000000000000000000000000000000000000000000000000000000000000000000000000
χ744444444-4-4-4-4-44-44444-440000000044-4-4-44-44-4-400000000-44000000000000000000000000000000000000000000000000000000000000000000000000
χ7544444-4-444-4-44-44-4444-4400000000-4-4444-44-4-4-400000000-44000000000000000000000000000000000000000000000000000000000000000000000000
χ7644444-4-444-4-4-44-444444-400000000-4-444-44-44-4-4000000004-4000000000000000000000000000000000000000000000000000000000000000000000000
χ774444-24444444444-2-2-244-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-222222222-2-2000000002222000000000000000000000000000000000000000000000000000000000000
χ784444-2444444-4-4-4-4-2-2-2-4-4-4-444-4-444-2-2-2-22222-2-2222222222200000000-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ794444-244-4-4-4-44-44-4-2-2-24-400000000-2-222-22-222200000000-22000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i600000000000000000000000000000000000000000000
χ804444-244-4-4-4-44-44-4-2-2-24-400000000-2-222-22-222200000000-22000000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i600000000000000000000000000000000000000000000
χ814444-244-4-4-4-4-44-44-2-2-2-4400000000-2-2222-22-222000000002-2000000000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i600000000000000000000000000000000000000000000
χ824444-244-4-4-4-4-44-44-2-2-2-4400000000-2-2222-22-222000000002-2000000000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i600000000000000000000000000000000000000000000
χ834444-2-4-444-4-44-44-4-2-2-2-440000000022-2-2-22-2222000000002-2000000000000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000000000
χ844444-2-4-444-4-44-44-4-2-2-2-440000000022-2-2-22-2222000000002-2000000000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000000000
χ854444-2-4-444-4-4-44-44-2-2-24-40000000022-2-22-22-22200000000-22000000000000i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000000000
χ864444-2-4-444-4-4-44-44-2-2-24-40000000022-2-22-22-22200000000-22000000000000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000000000
χ874444-2-4-4-4-4444444-2-2-2-4-44444-4-4-4-42222-2-2-2-2-2-2-2-2-2-22222220000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ884444-2-4-4-4-444-4-4-4-4-2-2-24444-4-4-4-44422222222-2-2-2-2-2-22222-2-200000000-2-222000000000000000000000000000000000000000000000000000000000000
χ8944-4-440000-444i−4i−4i4i4-4-4004-44i−4i000000004i−4i−4i4i-4444-4-400000000000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ9044-4-440000-444i−4i−4i4i4-4-400-44−4i4i000000004i−4i−4i4i-44-4-4440000000000000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ9144-4-440000-44−4i4i4i−4i4-4-4004-4−4i4i00000000−4i4i4i−4i-4444-4-40000000000000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ9244-4-440000-44−4i4i4i−4i4-4-400-444i−4i00000000−4i4i4i−4i-44-4-44400000000000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-200004-44i4i−4i−4i-2220000004-44i−4i0000−2i−2i2i2i-220000-2-22200004-4004i−4i−2i2i000000-2-2220000−2i−2i2i2i00000000000000000000000000000000000000000000
χ9444-4-4-200004-44i4i−4i−4i-2220000004-44i−4i0000−2i−2i2i2i-220000-2-2220000-4400−4i4i−2i2i00000022-2-200002i2i−2i−2i00000000000000000000000000000000000000000000
χ9544-4-4-200004-44i4i−4i−4i-222000000-44−4i4i0000−2i−2i2i2i-22000022-2-2004-4004i−4i002i−2i00-2-2220000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ9644-4-4-200004-44i4i−4i−4i-222000000-44−4i4i0000−2i−2i2i2i-22000022-2-200-4400−4i4i002i−2i0022-2-200002i2i−2i−2i000000000000000000000000000000000000000000000000
χ9744-4-4-200004-4−4i−4i4i4i-2220000004-4−4i4i00002i2i−2i−2i-220000-2-22200004-400−4i4i2i−2i000000-2-22200002i2i−2i−2i00000000000000000000000000000000000000000000
χ9844-4-4-200004-4−4i−4i4i4i-2220000004-4−4i4i00002i2i−2i−2i-220000-2-2220000-44004i−4i2i−2i00000022-2-20000−2i−2i2i2i00000000000000000000000000000000000000000000
χ9944-4-4-200004-4−4i−4i4i4i-222000000-444i−4i00002i2i−2i−2i-22000022-2-2004-400−4i4i00−2i2i00-2-22200002i2i−2i−2i000000000000000000000000000000000000000000000000
χ10044-4-4-200004-4−4i−4i4i4i-222000000-444i−4i00002i2i−2i−2i-22000022-2-200-44004i−4i00−2i2i0022-2-20000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ10144-4-4-20000-444i−4i−4i4i-222004-44i−4i00000000−2i2i2i−2i2-2-2-2220000000000000000−2i2ii6−i6−i6i6i6−i6−i6i6−666−6−666−600000000000000000000000000000000000000000000
χ10244-4-4-20000-444i−4i−4i4i-222004-44i−4i00000000−2i2i2i−2i2-2-2-2220000000000000000−2i2i−i6i6i6−i6−i6i6i6−i66−6−666−6−6600000000000000000000000000000000000000000000
χ10344-4-4-20000-444i−4i−4i4i-22200-44−4i4i00000000−2i2i2i−2i2-222-2-200000000000000002i−2ii6−i6−i6i6−i6i6i6−i6−666−66−6−6600000000000000000000000000000000000000000000
χ10444-4-4-20000-444i−4i−4i4i-22200-44−4i4i00000000−2i2i2i−2i2-222-2-200000000000000002i−2i−i6i6i6−i6i6−i6−i6i66−6−66−666−600000000000000000000000000000000000000000000
χ10544-4-4-20000-44−4i4i4i−4i-222004-4−4i4i000000002i−2i−2i2i2-2-2-22200000000000000002i−2ii6−i6−i6i6i6−i6−i6i66−6−666−6−6600000000000000000000000000000000000000000000
χ10644-4-4-20000-44−4i4i4i−4i-222004-4−4i4i000000002i−2i−2i2i2-2-2-22200000000000000002i−2i−i6i6i6−i6−i6i6i6−i6−666−6−666−600000000000000000000000000000000000000000000
χ10744-4-4-20000-44−4i4i4i−4i-22200-444i−4i000000002i−2i−2i2i2-222-2-20000000000000000−2i2ii6−i6−i6i6−i6i6i6−i66−6−66−666−600000000000000000000000000000000000000000000
χ10844-4-4-20000-44−4i4i4i−4i-22200-444i−4i000000002i−2i−2i2i2-222-2-20000000000000000−2i2i−i6i6i6−i6i6−i6−i6i6−666−66−6−6600000000000000000000000000000000000000000000
χ1098-88-88008-8000000-88-80000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8800-88000000-88-8000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4008-80000004-44000000000000-440000002i6−2i62i6−2i62i6−2i62i6−2i600000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4008-80000004-44000000000000-44000000−2i62i6−2i62i6−2i62i6−2i62i600000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-400-880000004-440000000000004-40000002i6−2i62i6−2i6−2i62i6−2i62i600000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-400-880000004-440000000000004-4000000−2i62i6−2i62i62i6−2i62i6−2i600000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8888-800000000-8-8800000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-8800000000-8-880000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-80000000044-40000000000-44000000002i6−2i6−2i62i62i6−2i6−2i62i600000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-48-80000000044-40000000000-4400000000−2i62i62i6−2i6−2i62i62i6−2i600000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-880000000044-400000000004-4000000002i6−2i6−2i62i6−2i62i62i6−2i600000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-880000000044-400000000004-400000000−2i62i62i6−2i62i6−2i6−2i62i600000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.