Finite Group Databasebeta

← Group #13150724

Character table — Group #13150724

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444666666666666666666669999121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order122222344446666612121212336666666666121212121212121244443666666666121212121212121212121212444444121212121212121212121212121212122244444466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-1111-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-1-1-1111
χ51111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-1111-1
χ61111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1111-1-1-11
χ71111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-11
χ81111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-111-1
χ91111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-111111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1111-1-11-1-1
χ101111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-111111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-111-111
χ111111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-11-1-1-111
χ121111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-11-1111-1-1
χ131111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-11-1-11-11-11
χ141111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-11-111-11-11-1
χ151111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1111-11-1-11-1
χ161111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-1-11-111-11
χ17222222222222222222222-122222-1-1-122222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000020200220-1000-1-1-1
χ18222222222222222222222-122222-1-1-122222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000-20-200-2-201000111
χ1922222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ212222222-2-2-2-222222-2-2-2-22-122222-1-1-122-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000020200-2-20-100011-1
χ222222222-2-2-2-222222-2-2-2-22-122222-1-1-122-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000-20-2002201000-1-11
χ232222222-2-2-2-222222-2-2-2-2-12-1-1-1-1-1222-1-1111111112222-122-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ242222222-2-2-2-222222-2-2-2-2-12-1-1-1-1-1222-1-111111111-2-2-2-2-122-1-1-1-1-1-1-1-2-2-2-211111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ252222-2-2222-2-2222-2-222-2-22-1-2-2-2-22-1-1-1222222-2-2-2-20000-111-1-11111-1-1-111-1-1-1-111110000000000000000000000020-2002-20-1000-111
χ262222-2-2222-2-2222-2-222-2-22-1-2-2-2-22-1-1-1222222-2-2-2-20000-111-1-11111-1-1-111-1-1-1-1111100000000000000000000000-20200-22010001-1-1
χ272222-2-2222-2-2222-2-222-2-2-121111-1222-1-1-1-1-1-111112222-1-2-2-1-11111-122-2-2-1-1-1-11111-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ282222-2-2222-2-2222-2-222-2-2-121111-1222-1-1-1-1-1-11111-2-2-2-2-1-2-2-1-11111-122-2-2-1-1-1-1111122-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ292222-2-22-2-222222-2-2-2-2222-1-2-2-2-22-1-1-122-2-2-2-222220000-111-1-11111-111-1-11111-1-1-1-10000000000000000000000020-200-220-10001-11
χ302222-2-22-2-222222-2-2-2-2222-1-2-2-2-22-1-1-122-2-2-2-222220000-111-1-11111-111-1-11111-1-1-1-100000000000000000000000-202002-201000-11-1
χ312222-2-22-2-222222-2-2-2-222-121111-1222-1-11111-1-1-1-12222-1-2-2-1-11111-1-2-2221111-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ322222-2-22-2-222222-2-2-2-222-121111-1222-1-11111-1-1-1-1-2-2-2-2-1-2-2-1-11111-1-2-2221111-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3322-2-22-220000-2-222-200002222-2-22-2-22-2-2000000002i2i−2i−2i22-2-2-222-2-220000000000002i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-2-22-220000-2-222-200002222-2-22-2-22-2-200000000−2i−2i2i2i22-2-2-222-2-22000000000000−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-2-22-220000-2-222-20000-12-1-111-1-2-2211−i3−i3i3i3−i3−i3i3i32i2i−2i−2i-12-211-1-111-10000−i3−i3i3i3−i3−i3i3i32i−2i0000−i−iii−i−iii33−3−333−3−30000000000000000
χ3622-2-22-220000-2-222-20000-12-1-111-1-2-2211−i3−i3i3i3−i3−i3i3i3−2i−2i2i2i-12-211-1-111-10000−i3−i3i3i3−i3−i3i3i3−2i2i0000ii−i−iii−i−i−3−333−3−3330000000000000000
χ3722-2-22-220000-2-222-20000-12-1-111-1-2-2211i3i3−i3−i3i3i3−i3−i32i2i−2i−2i-12-211-1-111-10000i3i3−i3−i3i3i3−i3−i32i−2i0000−i−iii−i−iii−3−333−3−3330000000000000000
χ3822-2-22-220000-2-222-20000-12-1-111-1-2-2211i3i3−i3−i3i3i3−i3−i3−2i−2i2i2i-12-211-1-111-10000i3i3−i3−i3i3i3−i3−i3−2i2i0000ii−i−iii−i−i33−3−333−3−30000000000000000
χ3922-2-2-2220000-2-22-22000022-2-2222-2-22-2-2000000002i2i−2i−2i2-22-2-2-2-2222000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-2-2-2220000-2-22-22000022-2-2222-2-22-2-200000000−2i−2i2i2i2-22-2-2-2-22220000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-2-2-2220000-2-22-220000-1211-1-1-1-2-2211−i3−i3i3i3i3i3−i3−i32i2i−2i−2i-1-221111-1-1-10000−i3−i3i3i3i3i3−i3−i3−2i2i0000−i−iiiii−i−i33−3−3−3−3330000000000000000
χ4222-2-2-2220000-2-22-220000-1211-1-1-1-2-2211−i3−i3i3i3i3i3−i3−i3−2i−2i2i2i-1-221111-1-1-10000−i3−i3i3i3i3i3−i3−i32i−2i0000ii−i−i−i−iii−3−33333−3−30000000000000000
χ4322-2-2-2220000-2-22-220000-1211-1-1-1-2-2211i3i3−i3−i3−i3−i3i3i32i2i−2i−2i-1-221111-1-1-10000i3i3−i3−i3−i3−i3i3i3−2i2i0000−i−iiiii−i−i−3−33333−3−30000000000000000
χ4422-2-2-2220000-2-22-220000-1211-1-1-1-2-2211i3i3−i3−i3−i3−i3i3i3−2i−2i2i2i-1-221111-1-1-10000i3i3−i3−i3−i3−i3i3i32i−2i0000ii−i−i−i−iii33−3−3−3−3330000000000000000
χ452-22-2002002i−2i2-2-200002i−2i220000-22-2-22-200002i−2i2i−2i2-22-22002-20000-2002i−2i00002i−2i2i−2i00002i−2i2-22-2000000002i−2i2i−2i0000000000000000
χ462-22-2002002i−2i2-2-200002i−2i220000-22-2-22-200002i−2i2i−2i-22-222002-20000-2002i−2i00002i−2i2i−2i0000−2i2i-22-2200000000−2i2i−2i2i0000000000000000
χ472-22-2002002i−2i2-2-200002i−2i-12−i3i3−i3i312-2-2-113−33−3−ii−ii2-22-2-100-11−i3i3−i3i31002i−2i3−33−3−ii−ii00002i−2i-11-11−i3i3−i3i33−33−3−ii−ii0000000000000000
χ482-22-2002002i−2i2-2-200002i−2i-12−i3i3−i3i312-2-2-113−33−3−ii−ii-22-22-100-11−i3i3−i3i31002i−2i3−33−3−ii−ii0000−2i2i1-11-1i3−i3i3−i3−33−33i−ii−i0000000000000000
χ492-22-2002002i−2i2-2-200002i−2i-12i3−i3i3−i312-2-2-11−33−33−ii−ii2-22-2-100-11i3−i3i3−i31002i−2i−33−33−ii−ii00002i−2i-11-11i3−i3i3−i3−33−33−ii−ii0000000000000000
χ502-22-2002002i−2i2-2-200002i−2i-12i3−i3i3−i312-2-2-11−33−33−ii−ii-22-22-100-11i3−i3i3−i31002i−2i−33−33−ii−ii0000−2i2i1-11-1−i3i3−i3i33−33−3i−ii−i0000000000000000
χ512-22-200200−2i2i2-2-20000−2i2i220000-22-2-22-20000−2i2i−2i2i2-22-22002-20000-200−2i2i0000−2i2i−2i2i0000−2i2i2-22-200000000−2i2i−2i2i0000000000000000
χ522-22-200200−2i2i2-2-20000−2i2i220000-22-2-22-20000−2i2i−2i2i-22-222002-20000-200−2i2i0000−2i2i−2i2i00002i−2i-22-22000000002i−2i2i−2i0000000000000000
χ532-22-200200−2i2i2-2-20000−2i2i-12−i3i3−i3i312-2-2-11−33−33i−ii−i2-22-2-100-11−i3i3−i3i3100−2i2i−33−33i−ii−i0000−2i2i-11-11−i3i3−i3i3−33−33i−ii−i0000000000000000
χ542-22-200200−2i2i2-2-20000−2i2i-12−i3i3−i3i312-2-2-11−33−33i−ii−i-22-22-100-11−i3i3−i3i3100−2i2i−33−33i−ii−i00002i−2i1-11-1i3−i3i3−i33−33−3−ii−ii0000000000000000
χ552-22-200200−2i2i2-2-20000−2i2i-12i3−i3i3−i312-2-2-113−33−3i−ii−i2-22-2-100-11i3−i3i3−i3100−2i2i3−33−3i−ii−i0000−2i2i-11-11i3−i3i3−i33−33−3i−ii−i0000000000000000
χ562-22-200200−2i2i2-2-20000−2i2i-12i3−i3i3−i312-2-2-113−33−3i−ii−i-22-22-100-11i3−i3i3−i3100−2i2i3−33−3i−ii−i00002i−2i1-11-1−i3i3−i3i3−33−33−ii−ii0000000000000000
χ572-2-220022i−2i00-22-2002i−2i00220000-2-22-2-222i−2i−2i2i00002i−2i−2i2i200-220000-22i−2i002i−2i−2i2i0000002-2002i−2i−2i2i0000-222-200000000000000000000
χ582-2-220022i−2i00-22-2002i−2i00220000-2-22-2-222i−2i−2i2i0000−2i2i2i−2i200-220000-22i−2i002i−2i−2i2i000000-2200−2i2i2i−2i00002-2-2200000000000000000000
χ592-2-220022i−2i00-22-2002i−2i00-12−i3i3i3−i31-22-21-1−iii−i3−3−332i−2i−2i2i-1001-1−i3i3i3−i312i−2i00−iii−i3−3−33002-200−iii−i3−3−331-1-11i3−i3−i3i30000000000000000
χ602-2-220022i−2i00-22-2002i−2i00-12−i3i3i3−i31-22-21-1−iii−i3−3−33−2i2i2i−2i-1001-1−i3i3i3−i312i−2i00−iii−i3−3−3300-2200i−i−ii−333−3-111-1−i3i3i3−i30000000000000000
χ612-2-220022i−2i00-22-2002i−2i00-12i3−i3−i3i31-22-21-1−iii−i−333−32i−2i−2i2i-1001-1i3−i3−i3i312i−2i00−iii−i−333−3002-200−iii−i−333−31-1-11−i3i3i3−i30000000000000000
χ622-2-220022i−2i00-22-2002i−2i00-12i3−i3−i3i31-22-21-1−iii−i−333−3−2i2i2i−2i-1001-1i3−i3−i3i312i−2i00−iii−i−333−300-2200i−i−ii3−3−33-111-1i3−i3−i3i30000000000000000
χ632-2-22002−2i2i00-22-200−2i2i00220000-2-22-2-22−2i2i2i−2i00002i−2i−2i2i200-220000-2−2i2i00−2i2i2i−2i000000-22002i−2i−2i2i00002-2-2200000000000000000000
χ642-2-22002−2i2i00-22-200−2i2i00220000-2-22-2-22−2i2i2i−2i0000−2i2i2i−2i200-220000-2−2i2i00−2i2i2i−2i0000002-200−2i2i2i−2i0000-222-200000000000000000000
χ652-2-22002−2i2i00-22-200−2i2i00-12−i3i3i3−i31-22-21-1i−i−ii−333−32i−2i−2i2i-1001-1−i3i3i3−i31−2i2i00i−i−ii−333−300-2200−iii−i3−3−33-111-1−i3i3i3−i30000000000000000
χ662-2-22002−2i2i00-22-200−2i2i00-12−i3i3i3−i31-22-21-1i−i−ii−333−3−2i2i2i−2i-1001-1−i3i3i3−i31−2i2i00i−i−ii−333−3002-200i−i−ii−333−31-1-11i3−i3−i3i30000000000000000
χ672-2-22002−2i2i00-22-200−2i2i00-12i3−i3−i3i31-22-21-1i−i−ii3−3−332i−2i−2i2i-1001-1i3−i3−i3i31−2i2i00i−i−ii3−3−3300-2200−iii−i−333−3-111-1i3−i3−i3i30000000000000000
χ682-2-22002−2i2i00-22-200−2i2i00-12i3−i3−i3i31-22-21-1i−i−ii3−3−33−2i2i2i−2i-1001-1i3−i3−i3i31−2i2i00i−i−ii3−3−33002-200i−i−ii3−3−331-1-11−i3i3i3−i30000000000000000
χ6944444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001-2-21111111-2-2-2-21111111100000000000000000000000000000000000000
χ704444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-22222222200001-2-211111112222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ714444-4-4444-4-4444-4-444-4-4-2-22222-2-2-2-2-2-2-2-2-2-22222000012211-1-1-1-11-2-2221111-1-1-1-100000000000000000000000000000000000000
χ724444-4-44-4-444444-4-4-4-444-2-22222-2-2-2-2-2-22222-2-2-2-2000012211-1-1-1-1122-2-2-1-1-1-1111100000000000000000000000000000000000000
χ7344-4-44-440000-4-444-400004-244-4-4422-2-4-4000000000000-2-2222-2-222-200000000000000000000000000000000000000000000000000
χ7444-4-44-440000-4-444-40000-2-2-2-222-222-222−2i3−2i32i32i3−2i3−2i32i32i300001-22-1-111-1-110000i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000
χ7544-4-44-440000-4-444-40000-2-2-2-222-222-2222i32i3−2i3−2i32i32i3−2i3−2i300001-22-1-111-1-110000−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
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χ7844-4-4-4440000-4-44-440000-2-222-2-2-222-2222i32i3−2i3−2i3−2i3−2i32i32i3000012-2-1-1-1-11110000−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ794-44-4004004i−4i4-4-400004i−4i4-20000-4-2224-400004i−4i4i−4i0000-200-220000200−2i2i0000−2i2i−2i2i00000000000000000000000000000000000000
χ804-44-4004004i−4i4-4-400004i−4i-2-2−2i32i3−2i32i32-222-2223−2323−23−2i2i−2i2i00001001-1i3−i3i3−i3-100−2i2i−33−33i−ii−i00000000000000000000000000000000000000
χ814-44-4004004i−4i4-4-400004i−4i-2-22i3−2i32i3−2i32-222-22−2323−2323−2i2i−2i2i00001001-1−i3i3−i3i3-100−2i2i3−33−3i−ii−i00000000000000000000000000000000000000
χ824-44-400400−4i4i4-4-40000−4i4i4-20000-4-2224-40000−4i4i−4i4i0000-200-2200002002i−2i00002i−2i2i−2i00000000000000000000000000000000000000
χ834-44-400400−4i4i4-4-40000−4i4i-2-2−2i32i3−2i32i32-222-22−2323−23232i−2i2i−2i00001001-1i3−i3i3−i3-1002i−2i3−33−3−ii−ii00000000000000000000000000000000000000
χ844-44-400400−4i4i4-4-40000−4i4i-2-22i3−2i32i3−2i32-222-2223−2323−232i−2i2i−2i00001001-1−i3i3−i3i3-1002i−2i−33−33−ii−ii00000000000000000000000000000000000000
χ854-4-440044i−4i00-44-4004i−4i004-20000-42-22-444i−4i−4i4i00000000-2002-200002−2i2i00−2i2i2i−2i000000000000000000000000000000000000000000
χ864-4-440044i−4i00-44-4004i−4i00-2-2−2i32i32i3−2i322-222-2−2i2i2i−2i23−23−23230000100-11i3−i3−i3i3-1−2i2i00i−i−ii−333−300000000000000000000000000000000000000
χ874-4-440044i−4i00-44-4004i−4i00-2-22i3−2i3−2i32i322-222-2−2i2i2i−2i−232323−230000100-11−i3i3i3−i3-1−2i2i00i−i−ii3−3−3300000000000000000000000000000000000000
χ884-4-44004−4i4i00-44-400−4i4i004-20000-42-22-44−4i4i4i−4i00000000-2002-2000022i−2i002i−2i−2i2i000000000000000000000000000000000000000000
χ894-4-44004−4i4i00-44-400−4i4i00-2-2−2i32i32i3−2i322-222-22i−2i−2i2i−232323−230000100-11i3−i3−i3i3-12i−2i00−iii−i3−3−3300000000000000000000000000000000000000
χ904-4-44004−4i4i00-44-400−4i4i00-2-22i3−2i3−2i32i322-222-22i−2i−2i2i23−23−23230000100-11−i3i3i3−i3-12i−2i00−iii−i−333−300000000000000000000000000000000000000
χ91666666-36666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000020202200-10-1-1-1000
χ92666666-36666-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-20-20-2-20010111000
χ93666666-3-6-6-6-6-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002020-2-200-1011-1000
χ94666666-3-6-6-6-6-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-20-20220010-1-11000
χ956666-6-6-366-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000020-202-200-10-111000
χ966666-6-6-366-6-6-3-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000000-2020-2200101-1-1000
χ976666-6-6-3-6-666-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000020-20-2200-101-11000
χ986666-6-6-3-6-666-3-3-33333-3-300000000000000000000000000000000000000000000000000000000000000000000-20202-20010-11-1000
χ991212-12-1212-12-6000066-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212-12-12-1212-6000066-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-1212-1200-60012i−12i-6660000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-1200-600−12i12i-66600006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-121200-612i−12i006-6600−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-121200-6−12i12i006-66006i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).