Finite Group Databasebeta

← Group #13168270

Character table — Group #13168270

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order1222333446666666663336666666661212121212122244366612121212121212121212244466666612121212121212121212444444121212121212121266666121212121212121212121222466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111-1-11111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-111111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-1111111-11-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-1-11-1111-1-11111-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-11-1-1-1-1-1-111-111-1-11111-1-11-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-111-11111-1-1-1-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-11111111111111111-111-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-111-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-1111111111111111-1-111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-11111-1-1-1-1-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1111111-1-1-111-1-11111-1-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1111-1111-1-111111-1
χ17222222-122222-1-122-12-12-1-12-12-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-12222002200002222002200002200000000-100-1-1-1-1-100-1-1-1-1-1-102000-1-100-1-100
χ18222222-122222-1-122-12-12-1-12-12-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-122-2-200220000-2-2-2-200220000-2-200000000-100-1-1-11100-1-111110-200011001100
χ19222222-122222-1-122-12-12-1-12-12-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-1-2-22200-2-20000222200-2-20000-2-200000000100111-1-10011-1-1-1-10-200011001100
χ20222222-122222-1-122-12-12-1-12-12-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-20000-2-2-2-200-2-200002200000000100111110011111102000-1-100-1-100
χ21222222-1-2-2222-1-122-12-12-1-12-12-1-12-1-1-2-2-2-2110000-1-1-1-1-2-2111111112-22-20022000022-2-200-2-200002200000000-100-1-11-110011-1-1110-20001100-1-100
χ22222222-1-2-2222-1-122-12-12-1-12-12-1-12-1-1-2-2-2-2110000-1-1-1-1-2-2111111112-2-2200220000-2-22200-2-20000-2-200000000-100-1-111-1001111-1-102000-1-1001100
χ23222222-1-2-2222-1-122-12-12-1-12-12-1-12-1-1-2-2-2-2110000-1-1-1-1-2-211111111-222-200-2-2000022-2-200220000-2-20000000010011-1-1100-1-1-1-11102000-1-1001100
χ24222222-1-2-2222-1-122-12-12-1-12-12-1-12-1-1-2-2-2-2110000-1-1-1-1-2-211111111-22-2200-2-20000-2-22200220000220000000010011-11-100-1-111-1-10-20001100-1-100
χ2522222-12222-1-1222-122-1-12-1-12-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-100222200-1-1-1-1-1-1-1-12200002200-1-1-1-100000-1-100022-1-100-1-1-1-1200-1-100000000
χ2622222-12222-1-1222-122-1-12-1-12-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-100-2-22200-1-1-1-11111220000-2-200111100000-1-1000-2-2-1-1001111-2001100000000
χ2722222-12222-1-1222-122-1-12-1-12-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-10022-2-2001111-1-1-1-1-2-20000-2-20011110000011000221100-1-1-1-1-2001100000000
χ2822222-12222-1-1222-122-1-12-1-12-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-20011111111-2-200002200-1-1-1-10000011000-2-211001111200-1-100000000
χ2922222-12-2-22-1-1222-122-1-12-1-12-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-2111111002-22200-1-111-1-111-2-20000-2-200111100000-1-10002-21100-1-111200-1-100000000
χ3022222-12-2-22-1-1222-122-1-12-1-12-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-211111100-222200-1-11111-1-1-2-200002200-1-1-1-100000-1-1000-22110011-1-1-2001100000000
χ3122222-12-2-22-1-1222-122-1-12-1-12-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-2111111002-2-2-20011-1-1-1-1112200002200-1-1-1-100000110002-2-1-100-1-111-2001100000000
χ3222222-12-2-22-1-1222-122-1-12-1-12-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-211111100-22-2-20011-1-111-1-1220000-2-20011110000011000-22-1-10011-1-1200-1-100000000
χ332222-12222-12222-122-12-1-12-1-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-122220000-1-1-1-12200000000-1-1-1-12-1-1-1-1200-1-1-1-100000020000-1-10000
χ342222-12222-12222-122-12-1-12-1-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-2-200-1-11122220000-1-111-2-2000000001111-2-1-111-200-1-111000000-20000110000
χ352222-12222-12222-122-12-1-12-1-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1220011-1-1-2-2-2-2000011-1-1-2-2000000001111211-1-120011-1-1000000-20000110000
χ362222-12222-12222-122-12-1-12-1-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-2001111-2-2-2-2000011112200000000-1-1-1-1-21111-200111100000020000-1-10000
χ372222-122-2-2-12222-122-12-1-12-1-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-211112-200-1-1-1-122-2-200001111-2-20000000011112-1-1-1-1-200111100000020000-1-10000
χ382222-122-2-2-12222-122-12-1-12-1-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-21111-2200-1-11122-2-2000011-1-12200000000-1-1-1-1-2-1-11120011-1-1000000-20000110000
χ392222-122-2-2-12222-122-12-1-12-1-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-211112-20011-1-1-2-2220000-1-1112200000000-1-1-1-1211-1-1-200-1-111000000-20000110000
χ402222-122-2-2-12222-122-12-1-12-1-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-21111-22001111-2-2220000-1-1-1-1-2-2000000001111-21111200-1-1-1-100000020000-1-10000
χ4122-2-222200-22-22-2-2-2-222222-2-2-2-2-222-2000000000022-2-20000000000000000000000000000002-22i−2i2i−2i2i2i−2i−2i22-2-200000000000000000000000002i−2i00
χ4222-2-222200-22-22-2-2-2-222222-2-2-2-2-222-2000000000022-2-20000000000000000000000000000002-2−2i2i−2i2i−2i−2i2i2i22-2-20000000000000000000000000−2i2i00
χ4322-2-222200-22-22-2-2-2-222222-2-2-2-2-222-2000000000022-2-2000000000000000000000000000000-222i−2i−2i2i2i2i−2i−2i-2-2220000000000000000000000000−2i2i00
χ4422-2-222200-22-22-2-2-2-222222-2-2-2-2-222-2000000000022-2-2000000000000000000000000000000-22−2i2i2i−2i−2i−2i2i2i-2-22200000000000000000000000002i−2i00
χ452-22-22222i−2i-2-22-222-2-2-2222-222-2-22-2-2-22i−2i2i−2i2i−2i2-22i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i00002-2002-22i−2i00002i−2i000000000000000002-2000002i−2i0000000000000000000
χ462-22-22222i−2i-2-22-222-2-2-2222-222-2-22-2-2-22i−2i2i−2i2i−2i-22−2i2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i0000-2200-22−2i2i0000−2i2i00000000000000000-2200000−2i2i0000000000000000000
χ472-22-2222−2i2i-2-22-222-2-2-2222-222-2-22-2-2-2−2i2i−2i2i−2i2i2-2−2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-2002-2−2i2i0000−2i2i000000000000000002-200000−2i2i0000000000000000000
χ482-22-2222−2i2i-2-22-222-2-2-2222-222-2-22-2-2-2−2i2i−2i2i−2i2i-222i−2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i0000-2200-222i−2i00002i−2i00000000000000000-22000002i−2i0000000000000000000
χ492-22-22-122i−2i-21-1-2221-2-2-1-121-121-2-11-212i−2i−ii2i−2i2-22i−2i-11-11−ii2i−2i−ii−i−iii00002-200-11−ii−i3i33−32i−2i000000003−33−300000-1100000−ii00−i3i33−3000−i3i300000000
χ502-22-22-122i−2i-21-1-2221-2-2-1-121-121-2-11-212i−2i−ii2i−2i2-22i−2i-11-11−ii2i−2i−ii−i−iii00002-200-11−iii3−i3−332i−2i00000000−33−3300000-1100000−ii00i3−i3−33000i3−i300000000
χ512-22-22-122i−2i-21-1-2221-2-2-1-121-121-2-11-212i−2i−ii2i−2i-22−2i2i-11-11−ii2i−2i−ii−i−iii0000-22001-1i−i−i3i33−3−2i2i00000000−33−33000001-100000i−i00−i3i33−3000i3−i300000000
χ522-22-22-122i−2i-21-1-2221-2-2-1-121-121-2-11-212i−2i−ii2i−2i-22−2i2i-11-11−ii2i−2i−ii−i−iii0000-22001-1i−ii3−i3−33−2i2i000000003−33−3000001-100000i−i00i3−i3−33000−i3i300000000
χ532-22-22-12−2i2i-21-1-2221-2-2-1-121-121-2-11-21−2i2ii−i−2i2i2-2−2i2i-11-11i−i−2i2ii−iii−i−i00002-200-11i−i−i3i3−33−2i2i00000000−33−3300000-1100000i−i00−i3i3−33000−i3i300000000
χ542-22-22-12−2i2i-21-1-2221-2-2-1-121-121-2-11-21−2i2ii−i−2i2i2-2−2i2i-11-11i−i−2i2ii−iii−i−i00002-200-11i−ii3−i33−3−2i2i000000003−33−300000-1100000i−i00i3−i33−3000i3−i300000000
χ552-22-22-12−2i2i-21-1-2221-2-2-1-121-121-2-11-21−2i2ii−i−2i2i-222i−2i-11-11i−i−2i2ii−iii−i−i0000-22001-1−ii−i3i3−332i−2i000000003−33−3000001-100000−ii00−i3i3−33000i3−i300000000
χ562-22-22-12−2i2i-21-1-2221-2-2-1-121-121-2-11-21−2i2ii−i−2i2i-222i−2i-11-11i−i−2i2ii−iii−i−i0000-22001-1−iii3−i33−32i−2i00000000−33−33000001-100000−ii00i3−i33−3000−i3i300000000
χ572-22-2-1222i−2i1-22-22-1-2-212-1-1-2-1-111211-2−ii2i−2i2i−2i2-22i−2i-11-11−ii−ii2i−2i−i−iii0000-11−i3i32-22i−2i0000−ii3−300000000003−33−30-11−i3i3000−ii3−300000000000−i3i30000
χ582-22-2-1222i−2i1-22-22-1-2-212-1-1-2-1-111211-2−ii2i−2i2i−2i2-22i−2i-11-11−ii−ii2i−2i−i−iii0000-11i3−i32-22i−2i0000−ii−330000000000−33−330-11i3−i3000−ii−3300000000000i3−i30000
χ592-22-2-1222i−2i1-22-22-1-2-212-1-1-2-1-111211-2−ii2i−2i2i−2i-22−2i2i-11-11−ii−ii2i−2i−i−iii00001-1−i3i3-22−2i2i0000i−i3−30000000000−33−3301-1−i3i3000i−i3−300000000000i3−i30000
χ602-22-2-1222i−2i1-22-22-1-2-212-1-1-2-1-111211-2−ii2i−2i2i−2i-22−2i2i-11-11−ii−ii2i−2i−i−iii00001-1i3−i3-22−2i2i0000i−i−3300000000003−33−301-1i3−i3000i−i−3300000000000−i3i30000
χ612-22-2-122−2i2i1-22-22-1-2-212-1-1-2-1-111211-2i−i−2i2i−2i2i2-2−2i2i-11-11i−ii−i−2i2iii−i−i0000-11−i3i32-2−2i2i0000i−i−330000000000−33−330-11−i3i3000i−i−3300000000000−i3i30000
χ622-22-2-122−2i2i1-22-22-1-2-212-1-1-2-1-111211-2i−i−2i2i−2i2i2-2−2i2i-11-11i−ii−i−2i2iii−i−i0000-11i3−i32-2−2i2i0000i−i3−300000000003−33−30-11i3−i3000i−i3−300000000000i3−i30000
χ632-22-2-122−2i2i1-22-22-1-2-212-1-1-2-1-111211-2i−i−2i2i−2i2i-222i−2i-11-11i−ii−i−2i2iii−i−i00001-1−i3i3-222i−2i0000−ii−3300000000003−33−301-1−i3i3000−ii−3300000000000i3−i30000
χ642-22-2-122−2i2i1-22-22-1-2-212-1-1-2-1-111211-2i−i−2i2i−2i2i-222i−2i-11-11i−ii−i−2i2iii−i−i00001-1i3−i3-222i−2i0000−ii3−30000000000−33−3301-1i3−i3000−ii3−300000000000−i3i30000
χ6544444-2-2444-2-2-2-24-2-241-2-21-2-2-2-21-2-2144-2-2-2-200001111-2-2-2-2111111004400000000-2-2-2-2000000000000000000000000-2-2000011110000000000000
χ6644444-2-2444-2-2-2-24-2-241-2-21-2-2-2-21-2-2144-2-2-2-200001111-2-2-2-211111100-4-4000000002222000000000000000000000000220000-1-1-1-10000000000000
χ6744444-2-2-4-44-2-2-2-24-2-241-2-21-2-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-1004-400000000-2-222000000000000000000000000-22000011-1-10000000000000
χ6844444-2-2-4-44-2-2-2-24-2-241-2-21-2-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-100-440000000022-2-20000000000000000000000002-20000-1-1110000000000000
χ694444-24-244-244-2-2-24-2-2-2-21-2-21-21-2-21-2-2-244-2-200001111-2-211-2-21111440000-2-20000000000-2-200000000000000-20011-200001100000000000000000
χ704444-24-244-244-2-2-24-2-2-2-21-2-21-21-2-21-2-2-244-2-200001111-2-211-2-21111-4-400002200000000002200000000000000200-1-120000-1-100000000000000000
χ714444-24-2-4-4-244-2-2-24-2-2-2-21-2-21-21-2-21-222-4-4220000111122-1-122-1-1-1-14-40000-2-200000000002200000000000000-2001120000-1-100000000000000000
χ724444-24-2-4-4-244-2-2-24-2-2-2-21-2-21-21-2-21-222-4-4220000111122-1-122-1-1-1-1-440000220000000000-2-200000000000000200-1-1-200001100000000000000000
χ734444-2-2444-2-2-244-2-24-2-21-2-21-21-2-21-2-2-2-2-2-2444444111111-2-2-2-211110000-2-200-2-2-2-20000-2-2000000000000000001100000110000000000000000000
χ744444-2-2444-2-2-244-2-24-2-21-2-21-21-2-21-2-2-2-2-2-244-4-4-4-4111111-2-2-2-2111100002200222200002200000000000000000-1-100000-1-10000000000000000000
χ754444-2-24-4-4-2-2-244-2-24-2-21-2-21-21-2-21-2-22222-4-444-4-41111-1-12222-1-1-1-10000-2-200-2-222000022000000000000000001100000-1-10000000000000000000
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χ8144-4-4-2440024-44-42-4-4-24-2-242222-4-2-2-40000000000-2-2220000000000000000000000000000004-400000000-2-22200000000000000000000000000000
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χ844-44-444-2−4i4i-4-442-24-42-4-24-224-2-42-2-422−4i4i−4i4i2i−2i0000-22-22−4i4i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
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χ874-44-44-2-2−4i4i-42-22-2422-41-2-2-1-2-222122-1−4i4i2i−2i2i−2i00001-11-12i−2i2i−2i−ii−i−iii000000000000−2i32i3−2323000000000000000000000000000000i3−i33−30000000000000
χ884-44-44-2-2−4i4i-42-22-2422-41-2-2-1-2-222122-1−4i4i2i−2i2i−2i00001-11-12i−2i2i−2i−ii−i−iii0000000000002i3−2i323−23000000000000000000000000000000−i3i3−330000000000000
χ894-44-4-24-24i−4i2-442-2-2-422-2-212-212-1-22-12−2i2i4i−4i−2i2i00001-11-1−2i2ii−i−2i2iii−i−i000000−2i32i3000000000023−2300000000000000000i3−i300000−3300000000000000000
χ904-44-4-24-24i−4i2-442-2-2-422-2-212-212-1-22-12−2i2i4i−4i−2i2i00001-11-1−2i2ii−i−2i2iii−i−i0000002i3−2i30000000000−232300000000000000000−i3i3000003−300000000000000000
χ914-44-4-24-2−4i4i2-442-2-2-422-2-212-212-1-22-122i−2i−4i4i2i−2i00001-11-12i−2i−ii2i−2i−i−iii000000−2i32i30000000000−232300000000000000000i3−i3000003−300000000000000000
χ924-44-4-24-2−4i4i2-442-2-2-422-2-212-212-1-22-122i−2i−4i4i2i−2i00001-11-12i−2i−ii2i−2i−i−iii0000002i3−2i3000000000023−2300000000000000000−i3i300000−3300000000000000000
χ934-44-4-2-244i−4i22-2-44-22-42-21-221-2-12-2-122−2i2i−2i2i4i−4i4-44i−4i1-11-1i−i−2i2i−2i2iii−i−i0000-2200-22−2i2i0000−2i2i000000000000000001-100000i−i0000000000000000000
χ944-44-4-2-244i−4i22-2-44-22-42-21-221-2-12-2-122−2i2i−2i2i4i−4i-44−4i4i1-11-1i−i−2i2i−2i2iii−i−i00002-2002-22i−2i00002i−2i00000000000000000-1100000−ii0000000000000000000
χ954-44-4-2-24−4i4i22-2-44-22-42-21-221-2-12-2-1222i−2i2i−2i−4i4i4-4−4i4i1-11-1−ii2i−2i2i−2i−i−iii0000-2200-222i−2i00002i−2i000000000000000001-100000−ii0000000000000000000
χ964-44-4-2-24−4i4i22-2-44-22-42-21-221-2-12-2-1222i−2i2i−2i−4i4i-444i−4i1-11-1−ii2i−2i2i−2i−i−iii00002-2002-2−2i2i0000−2i2i00000000000000000-1100000i−i0000000000000000000
χ974-4-44444004-4-4-4-4-444-4444-4-4-444-4-4-4400000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4444-2004-4-422-44-2-4-24-22-424-22-42-20000000000-222-200000000000000000000000000000000000000000000000000000000000000000−2i32i3000000
χ994-4-4444-2004-4-422-44-2-4-24-22-424-22-42-20000000000-222-2000000000000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ1004-4-444-2400422-4-4-4-24-4-2-2422-4-2422-4-20000000000-222-2000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ1014-4-444-2400422-4-4-4-24-4-2-2422-4-2422-4-20000000000-222-20000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ1024-4-44-24400-2-4-4-4-424424-2-2-422-2-2-42240000000000-222-2000000000000000000000000000000000000000023−23−232300000000000000000000000000000
χ1034-4-44-24400-2-4-4-4-424424-2-2-422-2-2-42240000000000-222-20000000000000000000000000000000000000000−232323−2300000000000000000000000000000
χ1048888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-40000-1-1-1-1222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444440000-1-1-1-1-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-4-400-8-44-44-84482-4-424444-2-4-4-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-48-40048-8-444-84-4-4-42-44-24-24-424000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-48004-448-844-8-4-42-4-4-24-2442-44000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4004-44-44444-42222-2-2-2-2-222-20000000000-1-11100000033−3333−33000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4004-44-44444-42222-2-2-2-2-222-20000000000-1-111000000−3333−3333000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-48i−8i44-44-4-4444222-222-2-22-2-2-2−4i4i−4i4i−4i4i0000-11-112i−2i2i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4−8i8i44-44-4-4444222-222-2-22-2-2-24i−4i4i−4i4i−4i0000-11-11−2i2i−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-40084444-8-4-4-82-4-4-244-4-4-244200000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-400-4-8-84448-44-4-4244-2-4244-2-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-444-8-84-484-42-44-242-44-24-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-444444-4-44222-2-2-222-2-2-220000000000-111-1000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-444444-4-44222-2-2-222-2-2-220000000000-111-10000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000000

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