Finite Group Databasebeta

← Group #13138872

Character table — Group #13138872

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order1222344666888812121212242424242424242433666666444436661212121212121212242424242424242424242424242424244488881212121212121212242424242424242422224444666612121212
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
χ51111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ61111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ911-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i11-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-11-11-1i−ii−i1-11-1i−ii−i
χ1011-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i11-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11-11−ii−ii-11-11−ii−ii
χ1111-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i11-1-111-1-1−i−iii1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−i−i−iiiii-1-1-1-111111-1-11i−i−ii1-1-11i−i−ii
χ1211-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i11-1-111-1-1−i−iii1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−i−i−iiiii-1-1-1-11111-111-1−iii−i-111-1−iii−i
χ1311-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii11-1-111-1-1ii−i−i1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111iiii−i−i−i−i-1-1-1-111111-1-11−iii−i1-1-11−iii−i
χ1411-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii11-1-111-1-1ii−i−i1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii-111-1i−i−ii
χ1511-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii11-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−i−i−iiiii1111-1-1-1-11-11-1−ii−ii1-11-1−ii−ii
χ1611-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii11-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1-11-11i−ii−i-11-11i−ii−i
χ17222222222222222222222222222-12-12-12-10000-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000000022002200-1-100-1-1
χ18222222222222222222222222222-12-12-12-10000-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000-2-200-2-200110011
χ1922222222222222222222222222-12-12-12-120000-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000022002200-1-100-1-100
χ2022222222222222222222222222-12-12-12-120000-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000-2-200-2-20011001100
χ212222222222-2-2-2-22222-2-2-2-2-2-2-2-22-12-12-12-10000-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000000000000000002200-2-200-1-10011
χ222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-12-12-12-10000-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000000000-2-20022001100-1-1
χ232222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-12-120000-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111100000000000000000000002200-2-200-1-1001100
χ242222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-12-120000-1-1-1-1-12-1-1-12-1-111-2-2111111-2-211110000000000000000000000-2-20022001100-1-100
χ2522222-2-22220000-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2000022-2-222-2-2000000000000000000000000
χ2622222-2-22220000-2-2-2-20000000022222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000220000-2-222-2-222000000000000000000000000
χ2722-2-222-22-2-2000022-2-20000000022-2-222-2-22i2i−2i−2i2-2-22-2-2-2-222220000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ2822-2-222-22-2-2000022-2-20000000022-2-222-2-2−2i−2i2i2i2-2-22-2-2-2-2222200000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ2922-2-22-222-2-22i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i2-1-212-1-210000-111-12-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000000000002-2002i−2i00-1100−ii
χ3022-2-22-222-2-22i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i2-1-212-1-210000-111-12-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000000000-2200−2i2i001-100i−i
χ3122-2-22-222-2-22i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-121-2-121-20000-111-1-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000000000000002-2002i−2i00-1100−ii00
χ3222-2-22-222-2-22i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-121-2-121-20000-111-1-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000000000-2200−2i2i001-100i−i00
χ3322-2-22-222-2-2−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-1-212-1-210000-111-12-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000000000002-200−2i2i00-1100i−i
χ3422-2-22-222-2-2−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-1-212-1-210000-111-12-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000000000-22002i−2i001-100−ii
χ3522-2-22-222-2-2−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-121-2-121-20000-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000000000000000002-200−2i2i00-1100i−i00
χ3622-2-22-222-2-2−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-121-2-121-20000-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000000000-22002i−2i001-100−ii00
χ372-22-2200-22-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i22222-2-2-2-22i−2i2i−2i22-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2002−22−22i−2i002i−2i0022−2−222−2−20000000000000000
χ382-22-2200-22-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i22222-2-2-2-2−2i2i−2i2i22-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i200−22−22−2i2i00−2i2i00−2−222−2−2220000000000000000
χ392-22-2200-22-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i22222-2-2-2-22i−2i2i−2i22-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i200−22−222i−2i002i−2i00−2−222−2−2220000000000000000
χ402-22-2200-22-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i22222-2-2-2-2−2i2i−2i2i22-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2002−22−2−2i2i00−2i2i0022−2−222−2−20000000000000000
χ412-2-22200-2-222−2−22000022−2−2−2−22222-2-2-2-2222-2-222-22-2000000002−22−222−2−2−22−22−2−22200−222−22-200-2200−2−22222−2−20000000000000000
χ422-2-22200-2-222−2−22000022−2−2−2−22222-2-2-2-222-222-22-22-2000000002−22−222−2−2−22−22−2−222002−2−22-22002-20022−2−2−2−2220000000000000000
χ432-2-22200-2-22−222−20000−2−22222−2−222-2-2-2-2222-2-222-22-200000000−22−22−2−2222−22−222−2−2002−2−222-200-220022−2−2−2−2220000000000000000
χ442-2-22200-2-22−222−20000−2−22222−2−222-2-2-2-222-222-22-22-200000000−22−22−2−2222−22−222−2−200−222−2-22002-200−2−22222−2−20000000000000000
χ4544444444444444444444444444-2-2-2-2-2-2-2-200001111-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000000000000000
χ464444444444-4-4-4-44444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-200001111-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000000000000000
χ4744444-4-44440000-4-4-4-4000000004-24-24-24-20000-2-2-2-2-4222-4222000000000000000000000000000000000000000000000000000000
χ4844444-4-44440000-4-4-4-400000000-24-24-24-240000-2-2-2-22-4222-422000000000000000000000000000000000000000000000000000000
χ4944444-4-44440000-4-4-4-400000000-2-2-2-2-2-2-2-20000111122-1-122-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000000000000000
χ5044444-4-44440000-4-4-4-400000000-2-2-2-2-2-2-2-20000111122-1-122-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000000000000000
χ5144-4-444-44-4-4000044-4-4000000004-2-424-2-420000-222-2-42224-2-2-2000000000000000000000000000000000000000000000000000000
χ5244-4-444-44-4-4000044-4-400000000-242-4-242-40000-222-22-422-24-2-2000000000000000000000000000000000000000000000000000000
χ5344-4-444-44-4-4000044-4-400000000-2-222-2-22200001-1-1122-1-1-2-21100003-33-30000-33-3300000000000000000000000000000000000000
χ5444-4-444-44-4-4000044-4-400000000-2-222-2-22200001-1-1122-1-1-2-2110000-33-3300003-33-300000000000000000000000000000000000000
χ5544-4-44-444-4-44i4i−4i−4i-4-4444i4i4i4i−4i−4i−4i−4i-2-222-2-22200001-1-11-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000000000
χ5644-4-44-444-4-4−4i−4i4i4i-4-444−4i−4i−4i−4i4i4i4i4i-2-222-2-22200001-1-11-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000000000
χ574-44-4400-44-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i24-24-2-42-420000-2-22200000000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ584-44-4400-44-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i2-24-242-42-40000-2-22200000000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ594-44-4400-44-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i2-2-2-2-22222000011-1-1003i−3i003i−3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000000000
χ604-44-4400-44-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i2-2-2-2-22222000011-1-100−3i3i00−3i3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000000000
χ614-44-4400-44-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i24-24-2-42-420000-2-222000000002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000000000000000
χ624-44-4400-44-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i2-24-242-42-40000-2-22200000000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ634-44-4400-44-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i2-2-2-2-22222000011-1-1003i−3i003i−3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000000000
χ644-44-4400-44-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i2-2-2-2-22222000011-1-100−3i3i00−3i3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000000000
χ654-4-44400-4-4422−22−222200002222−22−22−22−2222224-2-42-424-20000-22-220000000022−22−22−2−222−22222−222−2−200000000000000000000000000000000000000
χ664-4-44400-4-4422−22−222200002222−22−22−22−222222-242-42-4-240000-22-2200000000−2222−22−2−2222−2−222222−2−200000000000000000000000000000000000000
χ674-4-44400-4-4422−22−222200002222−22−22−22−222222-2-22222-2-200001-11-1003i−3i00−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000000000000000000000000
χ684-4-44400-4-4422−22−222200002222−22−22−22−222222-2-22222-2-200001-11-100−3i3i003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000000000000000000000000
χ694-4-44400-4-44−222222−220000−22−2222222222−22−224-2-42-424-20000-22-2200000000−22222−222−2−222−22−22−2−22200000000000000000000000000000000000000
χ704-4-44400-4-44−222222−220000−22−2222222222−22−22-242-42-4-240000-22-22000000002−2−222222−2−2−2222−22−2−22200000000000000000000000000000000000000
χ714-4-44400-4-44−222222−220000−22−2222222222−22−22-2-22222-2-200001-11-1003i−3i00−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000000000000000000000000
χ724-4-44400-4-44−222222−220000−22−2222222222−22−22-2-22222-2-200001-11-100−3i3i003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000000000000000000000000
χ736666-366-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-30000000022220000000000000000000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ746666-366-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-300000000-2-2-2-20000000000000000000000000000-2-2-2-2-2-211111111111111110000000000000000
χ756666-366-3-3-3-6-6-6-6-3-3-3-333333333000000002222000000000000000000000000000022-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ766666-366-3-3-3-6-6-6-6-3-3-3-33333333300000000-2-2-2-20000000000000000000000000000-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ776666-3-6-6-3-3-30000333333−3333−3333−3333−330000000022220000000000000000000000000000-2-20000-1-111-1-1113−33−33−33−30000000000000000
χ786666-3-6-6-3-3-30000333333−3333−3333−3333−3300000000-2-2-2-2000000000000000000000000000022000011-1-111-1-1−33−33−33−330000000000000000
χ796666-3-6-6-3-3-300003333−3333−3333−3333−33330000000022220000000000000000000000000000-2-20000-1-111-1-111−33−33−33−330000000000000000
χ806666-3-6-6-3-3-300003333−3333−3333−3333−333300000000-2-2-2-2000000000000000000000000000022000011-1-111-1-13−33−33−33−30000000000000000
χ8166-6-6-36-6-3330000-3-333−3i33i3−3i33i33i3−3i33i3−3i3000000002i2i−2i−2i0000000000000000000000000000−2i2i0000−i−iiiii−i−i−33−333−33−30000000000000000
χ8266-6-6-36-6-3330000-3-333−3i33i3−3i33i33i3−3i33i3−3i300000000−2i−2i2i2i00000000000000000000000000002i−2i0000ii−i−i−i−iii3−33−3−33−330000000000000000
χ8366-6-6-36-6-3330000-3-3333i3−3i33i3−3i3−3i33i3−3i33i3000000002i2i−2i−2i0000000000000000000000000000−2i2i0000−i−iiiii−i−i3−33−3−33−330000000000000000
χ8466-6-6-36-6-3330000-3-3333i3−3i33i3−3i3−3i33i3−3i33i300000000−2i−2i2i2i00000000000000000000000000002i−2i0000ii−i−i−i−iii−33−333−33−30000000000000000
χ8566-6-6-3-66-3336i6i−6i−6i33-3-3−3i−3i−3i−3i3i3i3i3i000000002i2i−2i−2i00000000000000000000000000002i−2i22-2-2−i−i−i−iiiii-1-1-1-111110000000000000000
χ8666-6-6-3-66-3336i6i−6i−6i33-3-3−3i−3i−3i−3i3i3i3i3i00000000−2i−2i2i2i0000000000000000000000000000−2i2i-2-222iiii−i−i−i−i1111-1-1-1-10000000000000000
χ8766-6-6-3-66-333−6i−6i6i6i33-3-33i3i3i3i−3i−3i−3i−3i000000002i2i−2i−2i00000000000000000000000000002i−2i-2-222−i−i−i−iiiii1111-1-1-1-10000000000000000
χ8866-6-6-3-66-333−6i−6i6i6i33-3-33i3i3i3i−3i−3i−3i−3i00000000−2i−2i2i2i0000000000000000000000000000−2i2i22-2-2iiii−i−i−i−i-1-1-1-111110000000000000000
χ896-66-6-3003-33−3i23i2−3i23i233−3333−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000002i−2i2i−2i0000000000000000000000000000002−22−2−ii−i3i3−ii−i3i3ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000
χ906-66-6-3003-33−3i23i2−3i23i233−3333−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ2300000000−2i2i−2i2i000000000000000000000000000000−22−22i−ii3−i3i−ii3−i3−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000
χ916-66-6-3003-33−3i23i2−3i23i2−3333−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000002i−2i2i−2i0000000000000000000000000000002−22−2−iii3−i3−iii3−i3ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ926-66-6-3003-33−3i23i2−3i23i2−3333−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ700000000−2i2i−2i2i000000000000000000000000000000−22−22i−i−i3i3i−i−i3i3−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ936-66-6-3003-333i2−3i23i2−3i233−3333−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000002i−2i2i−2i000000000000000000000000000000−22−22−ii−i3i3−ii−i3i3−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000
χ946-66-6-3003-333i2−3i23i2−3i233−3333−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ2300000000−2i2i−2i2i0000000000000000000000000000002−22−2i−ii3−i3i−ii3−i3ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000
χ956-66-6-3003-333i2−3i23i2−3i2−3333−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000002i−2i2i−2i000000000000000000000000000000−22−22−iii3−i3−iii3−i3−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ966-66-6-3003-333i2−3i23i2−3i2−3333−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ700000000−2i2i−2i2i0000000000000000000000000000002−22−2i−i−i3i3i−i−i3i3ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ976-6-66-30033-332−32−323233−33−33333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ23−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ23000000002-2-22000000000000000000000000000000−222−2-113−31-1−33−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ986-6-66-30033-332−32−323233−33−33333ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ23−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ2300000000-222-20000000000000000000000000000002−2−221-1−33-113−3ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ996-6-66-30033-332−32−3232−333333−333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ7−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ7000000002-2-22000000000000000000000000000000−222−2-11−331-13−3−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000
χ1006-6-66-30033-332−32−3232−333333−333ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ7−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ700000000-222-20000000000000000000000000000002−2−221-13−3-11−33ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000
χ1016-6-66-30033-3−323232−3233−33−3333−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ233ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ23000000002-2-220000000000000000000000000000002−2−22-113−31-1−33ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ1026-6-66-30033-3−323232−3233−33−3333−3ζ5+3ζ7−3ζ13+3ζ233ζ5−3ζ73ζ13−3ζ233ζ5−3ζ73ζ13−3ζ23−3ζ5+3ζ7−3ζ13+3ζ2300000000-222-2000000000000000000000000000000−222−21-1−33-113−3−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ1036-6-66-30033-3−323232−32−333333−33−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ73ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ7000000002-2-220000000000000000000000000000002−2−22-11−331-13−3ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000
χ1046-6-66-30033-3−323232−32−333333−33−3ζ13+3ζ23−3ζ5+3ζ73ζ13−3ζ233ζ5−3ζ73ζ13−3ζ233ζ5−3ζ7−3ζ13+3ζ23−3ζ5+3ζ700000000-222-2000000000000000000000000000000−222−21-13−3-11−33−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000

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