Finite Group Databasebeta

← Group #13138916

Character table — Group #13138916

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order1222344666888812121212242424242424242433666666444436661212121212121212242424242424242424242424242424242266668888121212122424242424242424444444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ911-1-11-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ1011-1-11-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ1111-1-11-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
χ1211-1-11-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-11111−ii−iii−ii−i−ii−iii−ii−i
χ1311-1-11-11-1-11-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-11111i−i−iii−i−iii−i−iii−i−ii
χ1411-1-11-11-1-11-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-11111−iii−i−iii−i−iii−i−iii−i
χ1511-1-11-11-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i
χ1611-1-11-11-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii
χ17222222222222222222222222222-12-122-1-10000-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000000022220000-1-1-1-1
χ18222222222222222222222222222-12-122-1-10000-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000000000-2-2-2-200001111
χ1922222222222222222222222222-12-12-1-1220000-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000022220000-1-1-1-10000
χ2022222222222222222222222222-12-12-1-1220000-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000-2-2-2-2000011110000
χ212222222222-2-2-2-22222-2-2-2-2-2-2-2-22-12-122-1-10000-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000000000000000000022-2-20000-1-111
χ222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-12-122-1-10000-1-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000000000000000000-2-222000011-1-1
χ232222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-1-1220000-1-1-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000000000000022-2-20000-1-1110000
χ242222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-1-1220000-1-1-1-1-12-1-1-12-1-111-2-2111111-2-211110000000000000000000000-2-222000011-1-10000
χ2522222-2-22220000-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-200002222000000000000000000000000
χ2622222-2-22220000-2-2-2-20000000022222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222220000-2-2-2-2000000000000000000000000
χ2722-2-222-2-2-22000022-2-2000000002222-2-2-2-222-2-22-2-222222-2-2-2-20000000000000000-22-2-222000022-2-2000000000000000000000000
χ2822-2-222-2-2-22000022-2-2000000002222-2-2-2-2-2-2222-2-222222-2-2-2-200000000000000002-222-2-20000-2-222000000000000000000000000
χ2922-2-22-22-2-2222-2-2-2-2222222-2-2-2-22-12-1-2-2110000-111-1-21112-1-1-122-1-1-1-1-1-1-2-2111111000000000000000000000000002i−2i2i−2i0000−ii−ii
χ3022-2-22-22-2-2222-2-2-2-2222222-2-2-2-22-12-1-2-2110000-111-1-21112-1-1-122-1-1-1-1-1-1-2-211111100000000000000000000000000−2i2i−2i2i0000i−ii−i
χ3122-2-22-22-2-2222-2-2-2-2222222-2-2-2-2-12-1211-2-20000-111-11-211-12-1-1-1-122-1-1-1-111-2-2111100000000000000000000002i−2i2i−2i0000−ii−ii0000
χ3222-2-22-22-2-2222-2-2-2-2222222-2-2-2-2-12-1211-2-20000-111-11-211-12-1-1-1-122-1-1-1-111-2-211110000000000000000000000−2i2i−2i2i0000i−ii−i0000
χ3322-2-22-22-2-22-2-222-2-222-2-2-2-222222-12-1-2-2110000-111-1-21112-1-1-1-2-211111122-1-1-1-1-1-1000000000000000000000000002i−2i−2i2i0000−iii−i
χ3422-2-22-22-2-22-2-222-2-222-2-2-2-222222-12-1-2-2110000-111-1-21112-1-1-1-2-211111122-1-1-1-1-1-100000000000000000000000000−2i2i2i−2i0000i−i−ii
χ3522-2-22-22-2-22-2-222-2-222-2-2-2-22222-12-1211-2-20000-111-11-211-12-1-111-2-21111-1-122-1-1-1-100000000000000000000002i−2i−2i2i0000−iii−i0000
χ3622-2-22-22-2-22-2-222-2-222-2-2-2-22222-12-1211-2-20000-111-11-211-12-1-111-2-21111-1-122-1-1-1-10000000000000000000000−2i2i2i−2i0000i−i−ii0000
χ372-22-22002-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i222-2-22-22-22i−2i2i−2i22-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i20000002−22−22i−2i2i−2i22−2−222−2−20000000000000000
χ382-22-22002-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i222-2-22-22-2−2i2i−2i2i22-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2000000−22−22−2i2i−2i2i−2−222−2−2220000000000000000
χ392-22-22002-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i222-2-22-22-22i−2i2i−2i22-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2000000−22−222i−2i2i−2i−2−222−2−2220000000000000000
χ402-22-22002-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i222-2-22-22-2−2i2i−2i2i22-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i20000002−22−2−2i2i−2i2i22−2−222−2−20000000000000000
χ412-2-22200-22-2−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i222-2-2-22-222i−2i−2i2i2-22-200000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i20000002−2−222i−2i−2i2i22−2−2−2−2220000000000000000
χ422-2-22200-22-2−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i222-2-2-22-22−2i2i2i−2i2-22-200000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2000000−222−2−2i2i2i−2i−2−22222−2−20000000000000000
χ432-2-22200-22-2i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i222-2-2-22-222i−2i−2i2i2-22-200000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2000000−222−22i−2i−2i2i−2−22222−2−20000000000000000
χ442-2-22200-22-2i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i222-2-2-22-22−2i2i2i−2i2-22-200000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i20000002−2−22−2i2i2i−2i22−2−2−2−2220000000000000000
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
χ4744444-4-44440000-4-4-4-4000000004-24-244-2-20000-2-2-2-2-4222-4222000000000000000000000000000000000000000000000000000000
χ4844444-4-44440000-4-4-4-400000000-24-24-2-2440000-2-2-2-22-4222-422000000000000000000000000000000000000000000000000000000
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
χ5144-4-444-4-4-44000044-4-4000000004-24-2-4-4220000-222-24-2-2-2-4222000000000000000000000000000000000000000000000000000000
χ5244-4-444-4-4-44000044-4-400000000-24-2422-4-40000-222-2-24-2-22-422000000000000000000000000000000000000000000000000000000
χ5344-4-444-4-4-44000044-4-400000000-2-2-2-2222200001-1-11-2-21122-1-100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000000000000000
χ5444-4-444-4-4-44000044-4-400000000-2-2-2-2222200001-1-11-2-21122-1-10000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000000000000000
χ5544-4-44-44-4-4444-4-4-4-4444444-4-4-4-4-2-2-2-2222200001-1-1122-1-1-2-211-2-2-2-211112222-1-1-1-100000000000000000000000000000000000000
χ5644-4-44-44-4-44-4-444-4-444-4-4-4-44444-2-2-2-2222200001-1-1122-1-1-2-2112222-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000
χ574-44-44004-4-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i24-2-424-4-220000-2-22200000000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ584-44-44004-4-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i2-242-4-224-40000-2-22200000000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ594-44-44004-4-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i2-2-222-22-22000011-1-1003i−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
χ604-44-44004-4-4−2i22i2−2i22i20000−2i2−2i22i22i2−2i2−2i22i22i2-2-222-22-22000011-1-100−3i3i00−3i3ii2−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
χ614-44-44004-4-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i24-2-424-4-220000-2-222000000002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000000000000000
χ624-44-44004-4-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i2-242-4-224-40000-2-22200000000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ634-44-44004-4-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i2-2-222-22-22000011-1-1003i−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
χ644-44-44004-4-42i2−2i22i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i2-2-222-22-22000011-1-100−3i3i00−3i3i−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
χ654-4-44400-44-4−2i22i22i2−2i20000−2i2−2i22i22i22i22i2−2i2−2i24-2-42-442-20000-22-2200000000−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000000000000000
χ664-4-44400-44-4−2i22i22i2−2i20000−2i2−2i22i22i22i22i2−2i2−2i2-242-42-2-440000-22-2200000000i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ674-4-44400-44-4−2i22i22i2−2i20000−2i2−2i22i22i22i22i2−2i2−2i2-2-2222-22-200001-11-1003i−3i00−3i3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000000000
χ684-4-44400-44-4−2i22i22i2−2i20000−2i2−2i22i22i22i22i2−2i2−2i2-2-2222-22-200001-11-100−3i3i003i−3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000000000
χ694-4-44400-44-42i2−2i2−2i22i200002i22i2−2i2−2i2−2i2−2i22i22i24-2-42-442-20000-22-22000000002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ704-4-44400-44-42i2−2i2−2i22i200002i22i2−2i2−2i2−2i2−2i22i22i2-242-42-2-440000-22-2200000000−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ714-4-44400-44-42i2−2i2−2i22i200002i22i2−2i2−2i2−2i2−2i22i22i2-2-2222-22-200001-11-1003i−3i00−3i3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000000000
χ724-4-44400-44-42i2−2i2−2i22i200002i22i2−2i2−2i2−2i2−2i22i22i2-2-2222-22-200001-11-100−3i3i003i−3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000000000
χ736666-366-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-3000000002222000000000000000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ746666-366-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-300000000-2-2-2-20000000000000000000000000000-2-21111-2-2-2-21111111111110000000000000000
χ756666-366-3-3-3-6-6-6-6-3-3-3-333333333000000002222000000000000000000000000000022-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ766666-366-3-3-3-6-6-6-6-3-3-3-33333333300000000-2-2-2-20000000000000000000000000000-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ776666-3-6-6-3-3-30000333333−3333−3333−3333−330000000022220000000000000000000000000000-2-211110000-1-1-1-13−33−33−33−30000000000000000
χ786666-3-6-6-3-3-30000333333−3333−3333−3333−3300000000-2-2-2-2000000000000000000000000000022-1-1-1-100001111−33−33−33−330000000000000000
χ796666-3-6-6-3-3-300003333−3333−3333−3333−33330000000022220000000000000000000000000000-2-211110000-1-1-1-1−33−33−33−330000000000000000
χ806666-3-6-6-3-3-300003333−3333−3333−3333−333300000000-2-2-2-2000000000000000000000000000022-1-1-1-1000011113−33−33−33−30000000000000000
χ8166-6-6-36-633-30000-3-33333−3333−33−3333−33330000000022-2-20000000000000000000000000000-2211-1-10000-1-1113−33−3−33−330000000000000000
χ8266-6-6-36-633-30000-3-33333−3333−33−3333−333300000000-2-22200000000000000000000000000002-2-1-111000011-1-1−33−333−33−30000000000000000
χ8366-6-6-36-633-30000-3-333−3333−333333−3333−330000000022-2-20000000000000000000000000000-2211-1-10000-1-111−33−333−33−30000000000000000
χ8466-6-6-36-633-30000-3-333−3333−333333−3333−3300000000-2-22200000000000000000000000000002-2-1-111000011-1-13−33−3−33−330000000000000000
χ8566-6-6-3-6633-366-6-633-3-3-3-3-3-333330000000022-2-200000000000000000000000000002-2-1-11122-2-2-1-111-1-1-1-111110000000000000000
χ8666-6-6-3-6633-366-6-633-3-3-3-3-3-3333300000000-2-2220000000000000000000000000000-2211-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ8766-6-6-3-6633-3-6-66633-3-33333-3-3-3-30000000022-2-200000000000000000000000000002-2-1-111-2-222-1-1111111-1-1-1-10000000000000000
χ8866-6-6-3-6633-3-6-66633-3-33333-3-3-3-300000000-2-2220000000000000000000000000000-2211-1-122-2-211-1-1-1-1-1-111110000000000000000
χ896-66-6-300-333−3i23i2−3i23i233−3333−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000002i−2i2i−2i000000000000000000000000000000−i3i3−i3i32−22−2−ii−iiζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000
χ906-66-6-300-333−3i23i2−3i23i233−3333−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ2300000000−2i2i−2i2i000000000000000000000000000000i3−i3i3−i3−22−22i−ii−i−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000
χ916-66-6-300-333−3i23i2−3i23i2−3333−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000002i−2i2i−2i000000000000000000000000000000i3−i3i3−i32−22−2−ii−iiζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ926-66-6-300-333−3i23i2−3i23i2−3333−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ700000000−2i2i−2i2i000000000000000000000000000000−i3i3−i3i3−22−22i−ii−i−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ936-66-6-300-3333i2−3i23i2−3i233−3333−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000002i−2i2i−2i000000000000000000000000000000−i3i3−i3i3−22−22−ii−ii−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000
χ946-66-6-300-3333i2−3i23i2−3i233−3333−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ2300000000−2i2i−2i2i000000000000000000000000000000i3−i3i3−i32−22−2i−ii−iζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000
χ956-66-6-300-3333i2−3i23i2−3i2−3333−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000002i−2i2i−2i000000000000000000000000000000i3−i3i3−i3−22−22−ii−ii−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ966-66-6-300-3333i2−3i23i2−3i2−3333−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ700000000−2i2i−2i2i000000000000000000000000000000−i3i3−i3i32−22−2i−ii−iζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ976-6-66-3003-33−3i23i23i2−3i233−33−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000002i−2i−2i2i000000000000000000000000000000i3−i3−i3i32−2−22−iii−iζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ986-6-66-3003-33−3i23i23i2−3i233−33−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ700000000−2i2i2i−2i000000000000000000000000000000−i3i3i3−i3−222−2i−i−ii−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ996-6-66-3003-33−3i23i23i2−3i2−333333−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000002i−2i−2i2i000000000000000000000000000000−i3i3i3−i32−2−22−iii−iζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000
χ1006-6-66-3003-33−3i23i23i2−3i2−333333−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ2300000000−2i2i2i−2i000000000000000000000000000000i3−i3−i3i3−222−2i−i−ii−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000
χ1016-6-66-3003-333i2−3i2−3i23i233−33−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000002i−2i−2i2i000000000000000000000000000000i3−i3−i3i3−222−2−iii−i−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ230000000000000000
χ1026-6-66-3003-333i2−3i2−3i23i233−33−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ700000000−2i2i2i−2i000000000000000000000000000000−i3i3i3−i32−2−22i−i−iiζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ230000000000000000
χ1036-6-66-3003-333i2−3i2−3i23i2−333333−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000002i−2i−2i2i000000000000000000000000000000−i3i3i3−i3−222−2−iii−i−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ70000000000000000
χ1046-6-66-3003-333i2−3i2−3i23i2−333333−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ2300000000−2i2i2i−2i000000000000000000000000000000i3−i3−i3i32−2−22i−i−iiζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ70000000000000000

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