Finite Group Databasebeta

← Group #13149813

Character table — Group #13149813

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order12442346668888121212122424242424242424336612121212224436666612121212121224242424242424242424242424242424246666888812121212242424242424242422224444666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ61111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-111-1-111-1-111-1
χ911-1-1-111-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011-1-1-111-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1111-1-1-111-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1211-1-1-111-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1311-1-1-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-111111-11-1-11-111-11-1-11-11
χ1411-1-1-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-11111-11-111-11-1-11-111-11-1
χ1511-1-1-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1111111-1-1-1-11-1-11-111-11-1-11-111-1
χ1611-1-1-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1111111-1-1-1-1-111-11-1-11-111-11-1-11
χ17222222222222222222222222222-12-122-1-10000-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000000022002200-1-100-1-1
χ18222222222222222222222222222-12-122-1-10000-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000-2-200-2-200110011
χ1922222222222222222222222222-12-12-1-1220000-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000022002200-1-100-1-100
χ2022222222222222222222222222-12-12-1-1220000-1-12-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000-2-200-2-20011001100
χ212222222222-2-2-2-22222-2-2-2-2-2-2-2-22-12-122-1-10000-12-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000000000000000000000002-2002-200-1100-11
χ222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-12-122-1-10000-12-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000000000-2200-22001-1001-1
χ232222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-1-1220000-1-12-1-1-1-1-1-12-1-111-2-2111111-2-2111100000000000000000000002-2002-200-1100-1100
χ242222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-1-1220000-1-12-1-1-1-1-1-12-1-111-2-2111111-2-211110000000000000000000000-2200-22001-1001-100
χ252222-22-2-2-22000022-2-2000000002222222222222-2-2-2-2222-2-2-2-20000000000000000-2-222-2-20000-2-222000000000000000000000000
χ262222-22-2-2-22000022-2-20000000022222222-2-2-2-22-2-2-2-2222-2-2-2-2000000000000000022-2-222000022-2-2000000000000000000000000
χ2722-2-222-22220000-2-2-2-2000000002222-2-2-2-222-2-2222222-2-2-2-2-2-200000000000000002-222220000-2-2-2-2000000000000000000000000
χ2822-2-222-22220000-2-2-2-2000000002222-2-2-2-2-2-222222222-2-2-2-2-2-20000000000000000-22-2-2-2-200002222000000000000000000000000
χ2922-2-2-222-2-2222-2-2-2-2222222-2-2-2-22-12-1-2-2110000-1-2111-1112-1-1-122-1-1-1-1-1-1-2-21111110000000000000000000000002200-2-200-1-10011
χ3022-2-2-222-2-2222-2-2-2-2222222-2-2-2-22-12-1-2-2110000-1-2111-1112-1-1-122-1-1-1-1-1-1-2-2111111000000000000000000000000-2-20022001100-1-1
χ3122-2-2-222-2-2222-2-2-2-2222222-2-2-2-2-12-1211-2-20000-11-211-111-12-1-1-1-122-1-1-1-111-2-2111100000000000000000000002200-2-200-1-1001100
χ3222-2-2-222-2-2222-2-2-2-2222222-2-2-2-2-12-1211-2-20000-11-211-111-12-1-1-1-122-1-1-1-111-2-211110000000000000000000000-2-20022001100-1-100
χ3322-2-2-222-2-22-2-222-2-222-2-2-2-222222-12-1-2-2110000-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-10000000000000000000000002-200-2200-11001-1
χ3422-2-2-222-2-22-2-222-2-222-2-2-2-222222-12-1-2-2110000-1-2111-1112-1-1-1-2-211111122-1-1-1-1-1-1000000000000000000000000-22002-2001-100-11
χ3522-2-2-222-2-22-2-222-2-222-2-2-2-22222-12-1211-2-20000-11-211-111-12-1-111-2-21111-1-122-1-1-1-100000000000000000000002-200-2200-11001-100
χ3622-2-2-222-2-22-2-222-2-222-2-2-2-22222-12-1211-2-20000-11-211-111-12-1-111-2-21111-1-122-1-1-1-10000000000000000000000-22002-2001-100-1100
χ372-22i−2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i222-2-22i−2i2i−2i2-22i−2i20000-22i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i2002-2002−2−i2i2002i−2i22−2−2−i2−i2i2i20000000000000000
χ382-22i−2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i222-2-22i−2i2i−2i-22−2i2i20000-22i−2i00002−22−222−2−2−i2i2−i2i2−i2−i2i2i200-2200−22i2−i200−2i2i−2−222i2i2−i2−i20000000000000000
χ392-22i−2i02000-2−22i2−i22i−2i00−2−222i2i2−i2−i222-2-22i−2i2i−2i2-22i−2i20000-22i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i2002-200−22i2−i2002i−2i−2−222i2i2−i2−i20000000000000000
χ402-22i−2i02000-2−22i2−i22i−2i00−2−222i2i2−i2−i222-2-22i−2i2i−2i-22−2i2i20000-22i−2i0000−22−22−2−222i2−i2i2−i2i2i2−i2−i200-22002−2−i2i200−2i2i22−2−2−i2−i2i2i20000000000000000
χ412-2−2i2i02000-22−2i2−i2−2i2i0022−2−2i2i2−i2−i222-2-2−2i2i−2i2i2-2−2i2i20000-2−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i2002-2002−2i2−i200−2i2i22−2−2i2i2−i2−i20000000000000000
χ422-2−2i2i02000-22−2i2−i2−2i2i0022−2−2i2i2−i2−i222-2-2−2i2i−2i2i-222i−2i20000-2−2i2i00002−22−222−2−2i2−i2i2−i2i2i2−i2−i200-2200−22−i2i2002i−2i−2−222−i2−i2i2i20000000000000000
χ432-2−2i2i02000-2−22−i2i2−2i2i00−2−222−i2−i2i2i222-2-2−2i2i−2i2i2-2−2i2i20000-2−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i2002-200−22−i2i200−2i2i−2−222−i2−i2i2i20000000000000000
χ442-2−2i2i02000-2−22−i2i2−2i2i00−2−222−i2−i2i2i222-2-2−2i2i−2i2i-222i−2i20000-2−2i2i0000−22−22−2−222−i2i2−i2i2−i2−i2i2i200-22002−2i2−i2002i−2i22−2−2i2i2−i2−i20000000000000000
χ4544444444444444444444444444-2-2-2-2-2-2-2-200001-2-211111-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000000000000000
χ464444444444-4-4-4-44444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-200001-2-211111-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000000000000000
χ474444-44-4-4-44000044-4-4000000004-24-244-2-20000-2-4222-2-2-2-4222000000000000000000000000000000000000000000000000000000
χ484444-44-4-4-44000044-4-400000000-24-24-2-2440000-22-422-2-2-22-422000000000000000000000000000000000000000000000000000000
χ494444-44-4-4-44000044-4-400000000-2-2-2-2-2-2-2-20000122-1-111122-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000000000000000
χ504444-44-4-4-44000044-4-400000000-2-2-2-2-2-2-2-20000122-1-111122-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000000000000000
χ5144-4-444-44440000-4-4-4-4000000004-24-2-4-4220000-24-2-2-2-222-4222000000000000000000000000000000000000000000000000000000
χ5244-4-444-44440000-4-4-4-400000000-24-2422-4-40000-2-24-2-2-2222-422000000000000000000000000000000000000000000000000000000
χ5344-4-444-44440000-4-4-4-400000000-2-2-2-2222200001-2-2111-1-122-1-100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000000000000000
χ5444-4-444-44440000-4-4-4-400000000-2-2-2-2222200001-2-2111-1-122-1-10000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000000000000000
χ5544-4-4-444-4-4444-4-4-4-4444444-4-4-4-4-2-2-2-222220000122-1-11-1-1-2-211-2-2-2-211112222-1-1-1-100000000000000000000000000000000000000
χ5644-4-4-444-4-44-4-444-4-444-4-4-4-44444-2-2-2-222220000122-1-11-1-1-2-2112222-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000
χ574-44i−4i04000-422−22−2i22i24i−4i002222−22−22−2i2−2i22i22i24-2-424i−4i−2i2i0000-200002−2i2i000022−22−22−2−222−2i22i2i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ584-44i−4i04000-422−22−2i22i24i−4i002222−22−22−2i2−2i22i22i2-242-4−2i2i4i−4i0000-200002−2i2i0000−2222−22−2−222i2−i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ594-44i−4i04000-422−22−2i22i24i−4i002222−22−22−2i2−2i22i22i2-2-222−2i2i−2i2i00001003-3-1i−i003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000000000
χ604-44i−4i04000-422−22−2i22i24i−4i002222−22−22−2i2−2i22i22i2-2-222−2i2i−2i2i0000100-33-1i−i00−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000000000
χ614-44i−4i04000-4−22222i2−2i24i−4i00−22−2222222i22i2−2i2−2i24-2-424i−4i−2i2i0000-200002−2i2i0000−22222−222−2−22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000000000000000
χ624-44i−4i04000-4−22222i2−2i24i−4i00−22−2222222i22i2−2i2−2i2-242-4−2i2i4i−4i0000-200002−2i2i00002−2−222222−2−2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ634-44i−4i04000-4−22222i2−2i24i−4i00−22−2222222i22i2−2i2−2i2-2-222−2i2i−2i2i00001003-3-1i−i003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000000000
χ644-44i−4i04000-4−22222i2−2i24i−4i00−22−2222222i22i2−2i2−2i2-2-222−2i2i−2i2i0000100-33-1i−i00−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000000000
χ654-4−4i4i04000-422−222i2−2i2−4i4i002222−22−222i22i2−2i2−2i24-2-42−4i4i2i−2i0000-2000022i−2i000022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i200000000000000000000000000000000000000
χ664-4−4i4i04000-422−222i2−2i2−4i4i002222−22−222i22i2−2i2−2i2-242-42i−2i−4i4i0000-2000022i−2i0000−2222−22−2−222−i2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ674-4−4i4i04000-422−222i2−2i2−4i4i002222−22−222i22i2−2i2−2i2-2-2222i−2i2i−2i00001003-3-1−ii00−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000000000
χ684-4−4i4i04000-422−222i2−2i2−4i4i002222−22−222i22i2−2i2−2i2-2-2222i−2i2i−2i0000100-33-1−ii003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000000000
χ694-4−4i4i04000-4−2222−2i22i2−4i4i00−22−222222−2i2−2i22i22i24-2-42−4i4i2i−2i0000-2000022i−2i0000−22222−222−2−2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ704-4−4i4i04000-4−2222−2i22i2−4i4i00−22−222222−2i2−2i22i22i2-242-42i−2i−4i4i0000-2000022i−2i00002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ714-4−4i4i04000-4−2222−2i22i2−4i4i00−22−222222−2i2−2i22i22i2-2-2222i−2i2i−2i00001003-3-1−ii00−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000000000
χ724-4−4i4i04000-4−2222−2i22i2−4i4i00−22−222222−2i2−2i22i22i2-2-2222i−2i2i−2i0000100-33-1−ii003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000000000
χ7366666-36-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-3000000002222000000000000000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ7466666-36-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-300000000-2-2-2-20000000000000000000000000000-2-21111-2-2-2-21111111111110000000000000000
χ7566666-36-3-3-3-6-6-6-6-3-3-3-333333333000000002222000000000000000000000000000022-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ7666666-36-3-3-3-6-6-6-6-3-3-3-33333333300000000-2-2-2-20000000000000000000000000000-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ776666-6-3-633-30000-3-33333−3333−3333−3333−330000000022220000000000000000000000000000-2-2-1-111000011-1-13−33−33−33−30000000000000000
χ786666-6-3-633-30000-3-33333−3333−3333−3333−3300000000-2-2-2-200000000000000000000000000002211-1-10000-1-111−33−33−33−330000000000000000
χ796666-6-3-633-30000-3-333−3333−3333−3333−33330000000022220000000000000000000000000000-2-2-1-111000011-1-1−33−33−33−330000000000000000
χ806666-6-3-633-30000-3-333−3333−3333−3333−333300000000-2-2-2-200000000000000000000000000002211-1-10000-1-1113−33−33−33−30000000000000000
χ8166-6-66-3-6-3-3-30000333333−3333−33−3333−33330000000022-2-200000000000000000000000000002-2-1-1-1-1000011113−33−3−33−330000000000000000
χ8266-6-66-3-6-3-3-30000333333−3333−33−3333−333300000000-2-2220000000000000000000000000000-2211110000-1-1-1-1−33−333−33−30000000000000000
χ8366-6-66-3-6-3-3-300003333−3333−333333−3333−330000000022-2-200000000000000000000000000002-2-1-1-1-100001111−33−333−33−30000000000000000
χ8466-6-66-3-6-3-3-300003333−3333−333333−3333−3300000000-2-2220000000000000000000000000000-2211110000-1-1-1-13−33−3−33−330000000000000000
χ8566-6-6-6-3633-366-6-633-3-3-3-3-3-333330000000022-2-20000000000000000000000000000-22-1-11122-2-2-1-111-1-1-1-111110000000000000000
χ8666-6-6-6-3633-366-6-633-3-3-3-3-3-3333300000000-2-22200000000000000000000000000002-211-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ8766-6-6-6-3633-3-6-66633-3-33333-3-3-3-30000000022-2-20000000000000000000000000000-22-1-111-2-222-1-1111111-1-1-1-10000000000000000
χ8866-6-6-6-3633-3-6-66633-3-33333-3-3-3-300000000-2-22200000000000000000000000000002-211-1-122-2-211-1-1-1-1-1-111110000000000000000
χ896-66i−6i0-30−3i33i3332−32−3i23i2−3i3i33−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ233ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000002-22i−2i000000000000000000000000000000-11−i3i32−2−i2i23−3−iiζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ70000000000000000
χ906-66i−6i0-30−3i33i3332−32−3i23i2−3i3i33−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ233ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ700000000-22−2i2i0000000000000000000000000000001-1i3−i3−22i2−i2−33i−i−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ70000000000000000
χ916-66i−6i0-30−3i33i33−32323i2−3i2−3i3i33−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ23−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000002-22i−2i000000000000000000000000000000-11−i3i3−22i2−i23−3−ii−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ70000000000000000
χ926-66i−6i0-30−3i33i33−32323i2−3i2−3i3i33−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ23−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ700000000-22−2i2i0000000000000000000000000000001-1i3−i32−2−i2i2−33i−iζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ70000000000000000
χ936-66i−6i0-303i3−3i3332−32−3i23i2−3i3i−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ73ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000002-22i−2i000000000000000000000000000000-11i3−i32−2−i2i2−33−iiζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ230000000000000000
χ946-66i−6i0-303i3−3i3332−32−3i23i2−3i3i−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ73ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ2300000000-22−2i2i0000000000000000000000000000001-1−i3i3−22i2−i23−3i−i−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ230000000000000000
χ956-66i−6i0-303i3−3i33−32323i2−3i2−3i3i−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ7−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000002-22i−2i000000000000000000000000000000-11i3−i3−22i2−i2−33−ii−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ230000000000000000
χ966-66i−6i0-303i3−3i33−32323i2−3i2−3i3i−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ7−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ2300000000-22−2i2i0000000000000000000000000000001-1−i3i32−2−i2i23−3i−iζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ230000000000000000
χ976-6−6i6i0-30−3i33i3332−323i2−3i23i−3i−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ7−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000002-2−2i2i000000000000000000000000000000-11−i3i32−2i2−i2−33i−iζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ230000000000000000
χ986-6−6i6i0-30−3i33i3332−323i2−3i23i−3i−33333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ7−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ2300000000-222i−2i0000000000000000000000000000001-1i3−i3−22−i2i23−3−ii−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ230000000000000000
χ996-6−6i6i0-30−3i33i33−3232−3i23i23i−3i−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ73ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000002-2−2i2i000000000000000000000000000000-11−i3i3−22−i2i2−33i−i−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ230000000000000000
χ1006-6−6i6i0-30−3i33i33−3232−3i23i23i−3i−3333−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ73ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ2300000000-222i−2i0000000000000000000000000000001-1i3−i32−2i2−i23−3−iiζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ230000000000000000
χ1016-6−6i6i0-303i3−3i3332−323i2−3i23i−3i33−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ23−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000002-2−2i2i000000000000000000000000000000-11i3−i32−2i2−i23−3i−iζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ70000000000000000
χ1026-6−6i6i0-303i3−3i3332−323i2−3i23i−3i33−333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ23−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ700000000-222i−2i0000000000000000000000000000001-1−i3i3−22−i2i2−33−ii−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ70000000000000000
χ1036-6−6i6i0-303i3−3i33−3232−3i23i23i−3i33−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ233ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000002-2−2i2i000000000000000000000000000000-11i3−i3−22−i2i23−3i−i−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ70000000000000000
χ1046-6−6i6i0-303i3−3i33−3232−3i23i23i−3i33−33−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ233ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ700000000-222i−2i0000000000000000000000000000001-1−i3i32−2i2−i2−33−iiζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ70000000000000000

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