Finite Group Databasebeta

← Group #13168654

Character table — Group #13168654

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222222244444444444444444444444466668888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636363636365454545472727272
order1222333446666666661212121233366666666612121212121212121212121244443666121212121212244412121212121212121212121212121212121212121212121212121212121212124466661212121224444661212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111111111111-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111-1-11111111111-1-11-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-11-11
χ51111111111111111111111111111111111111111111111-1-111111111111111-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-11-11-1-1-1-1-1-1-1-1-11-11
χ61111111111111111111111111111111111111111111111-1-1111111111111-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111111-11-1
χ71111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-111
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-1-11111-1-111-1-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1-111-1-1-111-1
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-111-1-1-1-1111-1-11
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-111-111-1-111-1-11-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-111-1-1-1-11111-1-1-1-111
χ17222222-12222-1-122-122-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1002222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000020000-1-1-1-100000000
χ18222222-12222-1-122-122-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-2-1-1-1-122-1-1-1-1002-222-1-1-1-1-2-2111122-2-2-1-1-1-1-1-1-1-111111111-2-200000000-20000111100000000
χ19222222-12222-1-122-122-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-1-1-1-122-1-1-1-100-22-2-2111122-1-1-1-1-2-22211111111-1-1-1-1-1-1-1-1-2-200000000-20000111100000000
χ20222222-12222-1-122-122-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-100-2-2-2-21111-2-21111-2-2-2-21111111111111111220000000020000-1-1-1-100000000
χ21222222-1-2-222-1-122-1221111-1-122-1-12-1-1-1-12-2-2-2-2111111112222-1-1-1-1-2-2111100-2-222-1-11122-1-111-2-2-2-2-1-1-1-11111-1-1-1-111112200000000-2000011-1-100000000
χ22222222-1-2-222-1-122-1221111-1-122-1-12-1-1-1-12-2-2-2-21111111122-2-2-1-1-1-1-2-2111100-2222-1-111-2-211-1-1-2-222-1-1-1-111111111-1-1-1-1-2-20000000020000-1-11100000000
χ23222222-1-2-222-1-122-1221111-1-122-1-12-1-1-1-12-2-2-2-211111111-2-222-1-1-1-1-2-21111002-2-2-211-1-122-1-11122-2-21111-1-1-1-1-1-1-1-11111-2-20000000020000-1-11100000000
χ24222222-1-2-222-1-122-1221111-1-122-1-12-1-1-1-12-2-2-2-211111111-2-2-2-2-1-1-1-1-2-211110022-2-211-1-1-2-211-1-122221111-1-1-1-11111-1-1-1-12200000000-2000011-1-100000000
χ2522222-12222-1222-122-122222-1-1-12-1-122-1-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-12202000000-1-1222200-1-100000000-1-1-1-1-1-1-1-1002-1-1-12-1-1-100202000000000-10-1
χ2622222-12222-1222-122-122222-1-1-12-1-122-1-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-2-202000000-1-1222200-1-100000000-1-1-1-1-1-1-1-100-2111-211100-20-2000000000101
χ2722222-12222-1222-122-122222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-1220-200000011-2-2-2-200110000000011111111002-1-1-12-1-1-100-20-2000000000101
χ2822222-12222-1222-122-122222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-1-2-20-200000011-2-2-2-20011000000001111111100-2111-211100202000000000-10-1
χ2922222-12-2-22-1222-122-1-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211110022-1-1-1-11111112-20-2000000-1-122-2-2001100000000-1-1-1-11111002-1-1-1-21110020-200000000010-1
χ3022222-12-2-22-1222-122-1-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211110022-1-1-1-1111111-220-2000000-1-122-2-2001100000000-1-1-1-1111100-21112-1-1-100-202000000000-101
χ3122222-12-2-22-1222-122-1-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2-1-1-1-11111112-20200000011-2-22200-1-1000000001111-1-1-1-1002-1-1-1-211100-202000000000-101
χ3222222-12-2-22-1222-122-1-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-2-1-1-1-1111111-220200000011-2-22200-1-1000000001111-1-1-1-100-21112-1-1-10020-200000000010-1
χ332222-12222-1222-122-122222-12-1-1-12-1-1-122-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-12220-1-12222000000-1-100-1-1-1-1-1-1-1-10000000000-12-1-1-12-1-10202000000000-10-10
χ342222-12222-1222-122-122222-12-1-1-12-1-1-122-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1-2-220-1-12222000000-1-100-1-1-1-1-1-1-1-100000000001-2111-2110-20-20000000001010
χ352222-12222-1222-122-122222-12-1-1-12-1-1-122-1-1-122-1-1-1-12222-2-200-1-1-1-1-1-1-1-1-1-122-2011-2-2-2-20000001100111111110000000000-12-1-1-12-1-10-20-20000000001010
χ362222-12222-1222-122-122222-12-1-1-12-1-1-122-1-1-122-1-1-1-12222-2-200-1-1-1-1-1-1-1-1-1-1-2-2-2011-2-2-2-200000011001111111100000000001-2111-2110202000000000-10-10
χ372222-122-2-2-1222-122-12-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-22200-1-1-1-11111112-2-20-1-122-2-20000001100-1-1-1-111110000000000-12-1-11-211020-200000000010-10
χ382222-122-2-2-1222-122-12-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-22200-1-1-1-1111111-22-20-1-122-2-20000001100-1-1-1-1111100000000001-211-12-1-10-202000000000-1010
χ392222-122-2-2-1222-122-12-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-2-2-200-1-1-1-11111112-22011-2-222000000-1-1001111-1-1-1-10000000000-12-1-11-2110-202000000000-1010
χ402222-122-2-2-1222-122-12-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-2-2-200-1-1-1-1111111-222011-2-222000000-1-1001111-1-1-1-100000000001-211-12-1-1020-200000000010-10
χ412-22-22222i−2i-2-22-2-2-2-2222i2i−2i−2i2222-2-2-22-22-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000022-2-22i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000002-22i−2i0000
χ422-22-22222i−2i-2-22-2-2-2-2222i2i−2i−2i2222-2-2-22-22-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000022-2-22i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000-22−2i2i0000
χ432-22-2222−2i2i-2-22-2-2-2-222−2i−2i2i2i2222-2-2-22-22-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000022-2-2−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000002-2−2i2i0000
χ442-22-2222−2i2i-2-22-2-2-2-222−2i−2i2i2i2222-2-2-22-22-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000022-2-2−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000-222i−2i0000
χ452-2-2222200-2-2-2-2222-2-20000222-2222-2-2-2-2-20000000000002i−2i2i−2i2-2-2200000000002i−2i2i−2i002i−2i2i−2i0000002i2i−2i−2i00002i2i−2i−2i00002-20000000000000002-200000000
χ462-2-2222200-2-2-2-2222-2-20000222-2222-2-2-2-2-20000000000002i−2i−2i2i2-2-2200000000002i−2i2i−2i00−2i2i−2i2i0000002i2i−2i−2i0000−2i−2i2i2i0000-22000000000000000-2200000000
χ472-2-2222200-2-2-2-2222-2-20000222-2222-2-2-2-2-2000000000000−2i2i2i−2i2-2-220000000000−2i2i−2i2i002i−2i2i−2i000000−2i−2i2i2i00002i2i−2i−2i0000-22000000000000000-2200000000
χ482-2-2222200-2-2-2-2222-2-20000222-2222-2-2-2-2-2000000000000−2i2i−2i2i2-2-220000000000−2i2i−2i2i00−2i2i−2i2i000000−2i−2i2i2i0000−2i−2i2i2i00002-20000000000000002-200000000
χ492-2-2222-100-2-21122-1-2-2−i3i3−i3i3-1-12-2-1-121111-20000−i3i3−i3i3−i3i3−i3i32i−2i2i−2i-111-100−i3i3−i3i300002i−2i−ii3−32i−2i−ii3−30000−i−iii33−3−3−i−iii33−3−32-20000000000000−i3i3-1100000000
χ502-2-2222-100-2-21122-1-2-2−i3i3−i3i3-1-12-2-1-121111-20000−i3i3−i3i3−i3i3−i3i32i−2i−2i2i-111-100−i3i3−i3i300002i−2i−ii3−3−2i2ii−i−330000−i−iii33−3−3ii−i−i−3−333-220000000000000i3−i31-100000000
χ512-2-2222-100-2-21122-1-2-2−i3i3−i3i3-1-12-2-1-121111-20000−i3i3−i3i3−i3i3−i3i3−2i2i2i−2i-111-100−i3i3−i3i30000−2i2ii−i−332i−2i−ii3−30000ii−i−i−3−333−i−iii33−3−3-220000000000000i3−i31-100000000
χ522-2-2222-100-2-21122-1-2-2−i3i3−i3i3-1-12-2-1-121111-20000−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i-111-100−i3i3−i3i30000−2i2ii−i−33−2i2ii−i−330000ii−i−i−3−333ii−i−i−3−3332-20000000000000−i3i3-1100000000
χ532-2-2222-100-2-21122-1-2-2i3−i3i3−i3-1-12-2-1-121111-20000i3−i3i3−i3i3−i3i3−i32i−2i2i−2i-111-100i3−i3i3−i300002i−2i−ii−332i−2i−ii−330000−i−iii−3−333−i−iii−3−3332-20000000000000i3−i3-1100000000
χ542-2-2222-100-2-21122-1-2-2i3−i3i3−i3-1-12-2-1-121111-20000i3−i3i3−i3i3−i3i3−i32i−2i−2i2i-111-100i3−i3i3−i300002i−2i−ii−33−2i2ii−i3−30000−i−iii−3−333ii−i−i33−3−3-220000000000000−i3i31-100000000
χ552-2-2222-100-2-21122-1-2-2i3−i3i3−i3-1-12-2-1-121111-20000i3−i3i3−i3i3−i3i3−i3−2i2i2i−2i-111-100i3−i3i3−i30000−2i2ii−i3−32i−2i−ii−330000ii−i−i33−3−3−i−iii−3−333-220000000000000−i3i31-100000000
χ562-2-2222-100-2-21122-1-2-2i3−i3i3−i3-1-12-2-1-121111-20000i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i-111-100i3−i3i3−i30000−2i2ii−i3−3−2i2ii−i3−30000ii−i−i33−3−3ii−i−i33−3−32-20000000000000i3−i3-1100000000
χ5744444-2-2444-2-2-24-2-24-2-2-2-2-2-21-2-2-21-2-2-211-244-2-2-2-2-2-2111100441111-2-211110004000000-2-2-2-2-2-200-2-20000000011111111000000000000000000000000000
χ5844444-2-2444-2-2-24-2-24-2-2-2-2-2-21-2-2-21-2-2-211-244-2-2-2-2-2-2111100-4-41111-2-21111000-4000000222222002200000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ5944444-2-2-4-44-2-2-24-2-24-22222-21-2-2-21-2-2-211-2-4-4222222-1-1-1-10044111122-1-1-1-1000-4000000-2-2-2-2220022000000001111-1-1-1-1000000000000000000000000000
χ6044444-2-2-4-44-2-2-24-2-24-22222-21-2-2-21-2-2-211-2-4-4222222-1-1-1-100-4-4111122-1-1-1-100040000002222-2-200-2-200000000-1-1-1-11111000000000000000000000000000
χ614444-24-244-24-2-2-24-2-24-2-2-2-21-2-2-21-2-211-2-2-2-2-2441111-2-2-2-244001111-2-211110040-2-2-2-2-2-2000000-2-2001111111100000000000000000000000000000000000
χ624444-24-244-24-2-2-24-2-24-2-2-2-21-2-2-21-2-211-2-2-2-2-2441111-2-2-2-2-4-4001111-2-2111100-402222220000002200-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ634444-24-2-4-4-24-2-2-24-2-2422221-2-2-21-2-211-2-2-222-4-4-1-1-1-122224400111122-1-1-1-100-40-2-2-2-22200000022001111-1-1-1-100000000000000000000000000000000000
χ644444-24-2-4-4-24-2-2-24-2-2422221-2-2-21-2-211-2-2-222-4-4-1-1-1-12222-4-400111122-1-1-1-100402222-2-2000000-2-200-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2444-2-244-2-24-2-24444-2-211-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000111111111144000000000000000000000000000000000000-2-211-2-21100000000000000000
χ664444-2-2444-2-244-2-24-2-24444-2-211-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200001111111111-4-400000000000000000000000000000000000022-1-122-1-100000000000000000
χ674444-2-24-4-4-2-244-2-24-2-2-4-4-4-4-2-211-2-21-2-2-2-2122222222222200001111-1-1-1-1-1-14-4000000000000000000000000000000000000-2-21122-1-100000000000000000
χ684444-2-24-4-4-2-244-2-24-2-2-4-4-4-4-2-211-2-21-2-2-2-2122222222222200001111-1-1-1-1-1-1-4400000000000000000000000000000000000022-1-1-2-21100000000000000000
χ6944-4-44440044-44-4-4-4-4-40000444-4-4-4-4-44-44400000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ7044-4-444-200442-2-4-42-4-423−23−2323-2-24-422-42-22-24000023−23−232323−23−23230000-22-220023−23−2323000000000000000000000000000000000000000000000000000000000000000
χ7144-4-444-200442-2-4-42-4-4−232323−23-2-24-422-42-22-240000−232323−23−232323−230000-22-2200−232323−23000000000000000000000000000000000000000000000000000000000000000
χ7244-4-44-24004-2-44-42-4-4200004-2-22-422-442-2-20000000000000000-22-2200000000000000000000000023−2300000000000023−2323−23000000000000000000000000000
χ7344-4-44-24004-2-44-42-4-4200004-2-22-422-442-2-20000000000000000-22-22000000000000000000000000−2323000000000000−2323−2323000000000000000000000000000
χ7444-4-44-2-2004-22-2-422-4223−23−2323-21-222-122-2-11-2000023−23−2323−333−300001-11-100−333−300000000000000000023−23000000003-33-3−33−33000000000000000000000000000
χ7544-4-44-2-2004-22-2-422-4223−23−2323-21-222-122-2-11-2000023−23−2323−333−300001-11-100−333−3000000000000000000−232300000000-33-333−33−3000000000000000000000000000
χ7644-4-44-2-2004-22-2-422-42−232323−23-21-222-122-2-11-20000−232323−233−3−3300001-11-1003−3−3300000000000000000023−2300000000-33-33−33−33000000000000000000000000000
χ7744-4-44-2-2004-22-2-422-42−232323−23-21-222-122-2-11-20000−232323−233−3−3300001-11-1003−3−33000000000000000000−2323000000003-33-33−33−3000000000000000000000000000
χ7844-4-4-24400-24-442-4-42-40000-24-222-422-2-44-20000000000000000-22-22000000000000000000000023−2300000023−2323−2300000000000000000000000000000000000
χ7944-4-4-24400-24-442-4-42-40000-24-222-422-2-44-20000000000000000-22-220000000000000000000000−2323000000−2323−232300000000000000000000000000000000000
χ8044-4-4-24-200-242-22-422-423−23−23231-2-22-122-112-2-20000−333−323−23−232300001-11-100−333−3000000000000000023−23003-33-3−33−3300000000000000000000000000000000000
χ8144-4-4-24-200-242-22-422-423−23−23231-2-22-122-112-2-20000−333−323−23−232300001-11-100−333−30000000000000000−232300-33-333−33−300000000000000000000000000000000000
χ8244-4-4-24-200-242-22-422-4−232323−231-2-22-122-112-2-200003−3−33−232323−2300001-11-1003−3−33000000000000000023−2300-33-33−33−3300000000000000000000000000000000000
χ8344-4-4-24-200-242-22-422-4−232323−231-2-22-122-112-2-200003−3−33−232323−2300001-11-1003−3−330000000000000000−2323003-33-33−33−300000000000000000000000000000000000
χ844-44-444-24i−4i-4-4-22-4-4244−2i−2i2i2i-2-24422-4-22-22-44i−4i4i−4i−2i−2i2i2i−2i−2i2i2i0000-2-2224i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ854-44-444-2−4i4i-4-4-22-4-42442i2i−2i−2i-2-24422-4-22-22-4−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i0000-2-222−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ864-44-44-244i−4i-424-4-42-44-24i4i−4i−4i4-2-2-2-4224-4-2224i−4i−2i2i4i4i−4i−4i−2i−2i2i2i0000-2-222−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ874-44-44-24−4i4i-424-4-42-44-2−4i−4i4i4i4-2-2-2-4224-4-222−4i4i2i−2i−4i−4i4i4i2i2i−2i−2i0000-2-2222i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ884-44-44-2-24i−4i-42-22-4224-2−2i−2i2i2i-21-2-22-12-221-124i−4i−2i2i−2i−2i2i2iii−i−i000011-1-1−2i2iii−i−i00000000000000000000000000003i−3i−3i3i3-3-33000000000000000000000000000
χ894-44-44-2-24i−4i-42-22-4224-2−2i−2i2i2i-21-2-22-12-221-124i−4i−2i2i−2i−2i2i2iii−i−i000011-1-1−2i2iii−i−i0000000000000000000000000000−3i3i3i−3i-333-3000000000000000000000000000
χ904-44-44-2-2−4i4i-42-22-4224-22i2i−2i−2i-21-2-22-12-221-12−4i4i2i−2i2i2i−2i−2i−i−iii000011-1-12i−2i−i−iii00000000000000000000000000003i−3i−3i3i-333-3000000000000000000000000000
χ914-44-44-2-2−4i4i-42-22-4224-22i2i−2i−2i-21-2-22-12-221-12−4i4i2i−2i2i2i−2i−2i−i−iii000011-1-12i−2i−i−iii0000000000000000000000000000−3i3i3i−3i3-3-33000000000000000000000000000
χ924-44-4-2444i−4i2-44-42-4-4-244i4i−4i−4i-24-2-22-42-224-42−2i2i4i−4i−2i−2i2i2i4i4i−4i−4i0000-2-222−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-244−4i4i2-44-42-4-4-24−4i−4i4i4i-24-2-22-42-224-422i−2i−4i4i2i2i−2i−2i−4i−4i4i4i0000-2-2222i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-24-24i−4i2-4-222-42-24−2i−2i2i2i1-2-2-2-1221-1-222−2i2i4i−4iii−i−i−2i−2i2i2i000011-1-1−2i2iii−i−i000000000000000000003i−3i−3i3i3-3-3300000000000000000000000000000000000
χ954-44-4-24-24i−4i2-4-222-42-24−2i−2i2i2i1-2-2-2-1221-1-222−2i2i4i−4iii−i−i−2i−2i2i2i000011-1-1−2i2iii−i−i00000000000000000000−3i3i3i−3i-333-300000000000000000000000000000000000
χ964-44-4-24-2−4i4i2-4-222-42-242i2i−2i−2i1-2-2-2-1221-1-2222i−2i−4i4i−i−iii2i2i−2i−2i000011-1-12i−2i−i−iii000000000000000000003i−3i−3i3i-333-300000000000000000000000000000000000
χ974-44-4-24-2−4i4i2-4-222-42-242i2i−2i−2i1-2-2-2-1221-1-2222i−2i−4i4i−i−iii2i2i−2i−2i000011-1-12i−2i−i−iii00000000000000000000−3i3i3i−3i3-3-3300000000000000000000000000000000000
χ984-44-4-2-244i−4i224-422-4-2-24i4i−4i−4i-2-21122-1-22-22-1−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000011-1-1i−iii−i−i00000000000000000000000000000000000000003-3003i−3i00000000000000000
χ994-44-4-2-244i−4i224-422-4-2-24i4i−4i−4i-2-21122-1-22-22-1−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000011-1-1i−iii−i−i0000000000000000000000000000000000000000-3300−3i3i00000000000000000
χ1004-44-4-2-24−4i4i224-422-4-2-2−4i−4i4i4i-2-21122-1-22-22-12i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000011-1-1−ii−i−iii00000000000000000000000000000000000000003-300−3i3i00000000000000000
χ1014-44-4-2-24−4i4i224-422-4-2-2−4i−4i4i4i-2-21122-1-22-22-12i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000011-1-1−ii−i−iii0000000000000000000000000000000000000000-33003i−3i00000000000000000
χ1024-4-444-2400-42-4-44-24-4200004-2-224-2-2-4-4222000000000000004i−4i-222-20000000000000000−2i2i4i−4i00000000000000−2i−2i2i2i0000000000000000000000000000000
χ1034-4-444-2400-42-4-44-24-4200004-2-224-2-2-4-422200000000000000−4i4i-222-200000000000000002i−2i−4i4i000000000000002i2i−2i−2i0000000000000000000000000000000
χ1044-4-444-2-200-42224-2-2-42−2i32i3−2i32i3-21-22-21-222-1-120000−2i32i3−2i32i3i3−i3i3−i3004i−4i1-1-1100i3−i3i3−i30000000000−2i2i−2i2i23−23000000000000ii−i−i−3−333000000000000000000000000000
χ1054-4-444-2-200-42224-2-2-42−2i32i3−2i32i3-21-22-21-222-1-120000−2i32i3−2i32i3i3−i3i3−i300−4i4i1-1-1100i3−i3i3−i300000000002i−2i2i−2i−2323000000000000−i−iii33−3−3000000000000000000000000000
χ1064-4-444-2-200-42224-2-2-422i3−2i32i3−2i3-21-22-21-222-1-1200002i3−2i32i3−2i3−i3i3−i3i3004i−4i1-1-1100−i3i3−i3i30000000000−2i2i−2i2i−2323000000000000ii−i−i33−3−3000000000000000000000000000
χ1074-4-444-2-200-42224-2-2-422i3−2i32i3−2i3-21-22-21-222-1-1200002i3−2i32i3−2i3−i3i3−i3i300−4i4i1-1-1100−i3i3−i3i300000000002i−2i2i−2i23−23000000000000−i−iii−3−333000000000000000000000000000
χ1084-4-44-244002-4-4-4-2442-40000-24-22-24-222-4-420000000000004i−4i00-222-20000000000−2i2i4i−4i000000000000−2i−2i2i2i000000000000000000000000000000000000000
χ1094-4-44-244002-4-4-4-2442-40000-24-22-24-222-4-42000000000000−4i4i00-222-200000000002i−2i−4i4i0000000000002i2i−2i−2i000000000000000000000000000000000000000
χ1104-4-44-24-2002-422-24-22-4−2i32i3−2i32i31-2-221-2-2-1-12220000i3−i3i3−i3−2i32i3−2i32i34i−4i001-1-1100i3−i3i3−i30000−2i2i−2i2i23−230000000000ii−i−i−3−33300000000000000000000000000000000000
χ1114-4-44-24-2002-422-24-22-4−2i32i3−2i32i31-2-221-2-2-1-12220000i3−i3i3−i3−2i32i3−2i32i3−4i4i001-1-1100i3−i3i3−i300002i−2i2i−2i−23230000000000−i−iii33−3−300000000000000000000000000000000000
χ1124-4-44-24-2002-422-24-22-42i3−2i32i3−2i31-2-221-2-2-1-12220000−i3i3−i3i32i3−2i32i3−2i34i−4i001-1-1100−i3i3−i3i30000−2i2i−2i2i−23230000000000ii−i−i33−3−300000000000000000000000000000000000
χ1134-4-44-24-2002-422-24-22-42i3−2i32i3−2i31-2-221-2-2-1-12220000−i3i3−i3i32i3−2i32i3−2i3−4i4i001-1-1100−i3i3−i3i300002i−2i2i−2i23−230000000000−i−iii−3−33300000000000000000000000000000000000
χ1148888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1158888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4800-4-4-8844-8440000-4-42-244-24-44-4200000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-4-44-44444443−43−4343222-2-2-2-2-22-2220000−232323−23−232323−230000-11-11003−3−33000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-4-44-444444−434343−43222-2-2-2-2-22-222000023−23−232323−23−23230000-11-1100−333−3000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-48i−8i44-44444-4-4−4i−4i4i4i2222-2-2-22-22-2-2−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i0000-1-1112i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4−8i8i44-44444-4-44i4i−4i−4i2222-2-2-22-22-2-24i−4i4i−4i−2i−2i2i2i−2i−2i2i2i0000-1-111−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-480044-8-8-4-48440000-4-42-2-4-424444-200000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4004444-4-4-444−4i34i3−4i34i3222-2222-2-2-2-2-200002i3−2i32i3−2i32i3−2i32i3−2i30000-111-100−i3i3−i3i3000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4004444-4-4-4444i3−4i34i3−4i3222-2222-2-2-2-2-20000−2i32i3−2i32i3−2i32i3−2i32i30000-111-100i3−i3i3−i3000000000000000000000000000000000000000000000000000000000000000

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