Finite Group Databasebeta

← Group #13168460

Character table — Group #13168460

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order12223336666666663334666666666121212121212121244444444121212121212121236661212121212121212122466121212121212121212121212121212121212121212122244666121212121212122244666666121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1111111111111111111111-11-1-11111111111-1-1-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111111111-1111111-1-1-1-1-1-1111111111111-1-111111-111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-111-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-11-1-111-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-11-1-1-1-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-1-111-1-11111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-111111-1-1-1-1-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1111-1-111-1-1-11-1-1-1-111-1-1111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-111-1-11111-1-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-111-1-11111-1-1-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-11-1-1-1-111-1-11111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-111111-1-1-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111-11-1-1-111-1-11111-1-11
χ17222222-12-12-12-1222-1-122-12-1-12-1-12-122-1-1-1-1-1-122222200-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1020022-1-122-1-1-1-10000-1-1-1-1-1-1-1-12200000200-1-1-1-1200000-1-1-1-10000000
χ18222222-12-12-12-1222-1-122-12-1-12-1-12-122-1-1-1-1-1-122-2-22200-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-20022-1-1-2-211110000-1-1-1-1-1-1-1-1-2-200000-2001111-20000011110000000
χ19222222-12-12-12-1222-1-122-12-1-12-1-12-122-1-1-1-1-1-1-2-222-2-2001111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10200-2-21122-1-1-1-1000011111111-2-200000200-1-1-1-1-20000011110000000
χ20222222-12-12-12-1222-1-122-12-1-12-1-12-122-1-1-1-1-1-1-2-2-2-2-2-2001111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-200-2-211-2-211110000111111112200000-2001111200000-1-1-1-10000000
χ21222222-12-12-12-1222-1-12-2-12-1-12-1-12-1-2-21111112222-2-200-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-200221122-1-1110000-1-1-1-11111-2-200000-200-1-111200000-1-1110000000
χ22222222-12-12-12-1222-1-12-2-12-1-12-1-12-1-2-211111122-2-2-2-200-1-1-1-1-2-2-2-2-1-1-1-1-2-2-211111102002211-2-211-1-10000-1-1-1-11111220000020011-1-1-20000011-1-10000000
χ23222222-12-12-12-1222-1-12-2-12-1-12-1-12-1-2-2111111-2-222220011112222-1-1-1-1-2-2-21111110-200-2-2-1-122-1-11100001111-1-1-1-12200000-200-1-111-20000011-1-10000000
χ24222222-12-12-12-1222-1-12-2-12-1-12-1-12-1-2-2111111-2-2-2-2220011112222-1-1-1-1-2-2-21111110200-2-2-1-1-2-211-1-100001111-1-1-1-1-2-20000020011-1-1200000-1-1110000000
χ2522222-12-12-122222-12-1-122-12-1-1-1-1-12-1-122-1-1-1-1220022222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-1-1-12200000022-1-1-1-1-1-1-1-1-1-100222-1-10-1-100000200-1-1000000-1-1000
χ2622222-12-12-122222-12-1-122-12-1-1-1-1-12-1-122-1-1-1-1220022-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2011-1-122000000-2-211-1-1-1-1-1-1-1-100-2-2-21101100000-2001100000011000
χ2722222-12-12-122222-12-1-122-12-1-1-1-1-12-1-122-1-1-1-1-2-200-2-222-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-1-111-2-200000022-1-11111111100-2-22-1-10-1-100000-2001100000011000
χ2822222-12-12-122222-12-1-122-12-1-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-201111-2-2000000-2-211111111110022-21101100000200-1-1000000-1-1000
χ2922222-12-12-122222-12-1-1-22-12-1-1-1-1-1211-2-211112200-2-22222221111-1-1-1-1-211-2-21111-2011-1-1-2-200000022-1-1-1-1-1-111110022-2110-1-100000-20011000000-1-1000
χ3022222-12-12-122222-12-1-1-22-12-1-1-1-1-1211-2-211112200-2-2-2-222221111-1-1-1-1-211-2-2111120-1-1-1-1-2-2000000-2-211-1-1-1-1111100-2-22-1-101100000200-1-100000011000
χ3122222-12-12-122222-12-1-1-22-12-1-1-1-1-1211-2-21111-2-2002222-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-2011112200000022-1-11111-1-1-1-100-2-2-2110-1-100000200-1-100000011000
χ3222222-12-12-122222-12-1-1-22-12-1-1-1-1-1211-2-21111-2-20022-2-2-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120-1-11122000000-2-2111111-1-1-1-100222-1-101100000-20011000000-1-1000
χ332222-1222222-12-1-12-12-12-1-1-12-122-1-1222222220022002200000000-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-12222-1-122000000000000-1-1-1-1-1-1-1-1-1-10022000000-1-100-100
χ342222-1222222-12-1-12-12-12-1-1-12-122-1-122222222002200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-20000-1-1222211-2-2000000000000111-111-1-1-1-100-2-20000001100100
χ352222-1222222-12-1-12-12-12-1-1-12-122-1-12222222200-2-2002200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222000011-2-2-2-2-1-122000000000000-1-1-11-1-1111100-2-20000001100100
χ362222-1222222-12-1-12-12-12-1-1-12-122-1-12222222200-2-200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011-2-2-2-211-2-200000000000011111111110022000000-1-100-100
χ372222-1222222-12-1-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20022002200000000-1-1-1-1111111111-2-2-2-20000-1-122-2-2-1-1220000000000001111-1-1-1-111002-2000000-1-100100
χ382222-1222222-12-1-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2002200-2-200000000-1-1-1-11111111112-2220000-1-122-2-211-2-2000000000000-1-1-1111-1-11100-220000001100-100
χ392222-1222222-12-1-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-2002200000000-1-1-1-1111111111-22-2-2000011-2-222-1-122000000000000111-1-1-111-1-100-220000001100-100
χ402222-1222222-12-1-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-200-2-200000000-1-1-1-11111111112222000011-2-22211-2-2000000000000-1-1-1-11111-1-1002-2000000-1-100100
χ4122-2-2222-2-22-222-2-2-22220-22-2-2-22-2-22000000002-200002i−2i22-2-2000022-2-200000000000002-2000000002i−2i2i−2i22-2-20000002i−2i00002i−2i00000000000000002i−2i000
χ4222-2-2222-2-22-222-2-2-22220-22-2-2-22-2-22000000002-20000−2i2i22-2-2000022-2-200000000000002-200000000−2i2i−2i2i22-2-2000000−2i2i0000−2i2i0000000000000000−2i2i000
χ4322-2-2222-2-22-222-2-2-22220-22-2-2-22-2-2200000000-2200002i−2i-2-222000022-2-20000000000000-22000000002i−2i2i−2i-2-222000000−2i2i00002i−2i0000000000000000−2i2i000
χ4422-2-2222-2-22-222-2-2-22220-22-2-2-22-2-2200000000-220000−2i2i-2-222000022-2-20000000000000-2200000000−2i2i−2i2i-2-2220000002i−2i0000−2i2i00000000000000002i−2i000
χ4522-2-22-121-2-1-222-2-212-1-10-2-1-211-11123−30033−3−32-200002i−2i22-2-233−3−3-1-11103−30033−3−300−i3i3-11000000002i−2i−ii-1-11133−3−3002i−2i0−i3i30−ii00000000−i3i3000000−ii000
χ4622-2-22-121-2-1-222-2-212-1-10-2-1-211-11123−30033−3−32-20000−2i2i22-2-233−3−3-1-11103−30033−3−300i3−i3-1100000000−2i2ii−i-1-11133−3−300−2i2i0i3−i30i−i00000000i3−i3000000i−i000
χ4722-2-22-121-2-1-222-2-212-1-10-2-1-211-11123−30033−3−3-2200002i−2i-2-222−3−333-1-11103−30033−3−300−i3i31-1000000002i−2i−ii11-1-1−3−33300−2i2i0−i3i30−ii00000000i3−i3000000i−i000
χ4822-2-22-121-2-1-222-2-212-1-10-2-1-211-11123−30033−3−3-220000−2i2i-2-222−3−333-1-11103−30033−3−300i3−i31-100000000−2i2ii−i11-1-1−3−333002i−2i0i3−i30i−i00000000−i3i3000000−ii000
χ4922-2-22-121-2-1-222-2-212-1-10-2-1-211-1112−3300−3−3332-200002i−2i22-2-2−3−333-1-1110−3300−3−33300i3−i3-11000000002i−2i−ii-1-111−3−333002i−2i0i3−i30−ii00000000i3−i3000000−ii000
χ5022-2-22-121-2-1-222-2-212-1-10-2-1-211-1112−3300−3−3332-20000−2i2i22-2-2−3−333-1-1110−3300−3−33300−i3i3-1100000000−2i2ii−i-1-111−3−33300−2i2i0−i3i30i−i00000000−i3i3000000i−i000
χ5122-2-22-121-2-1-222-2-212-1-10-2-1-211-1112−3300−3−333-2200002i−2i-2-22233−3−3-1-1110−3300−3−33300i3−i31-1000000002i−2i−ii11-1-133−3−300−2i2i0i3−i30−ii00000000−i3i3000000i−i000
χ5222-2-22-121-2-1-222-2-212-1-10-2-1-211-1112−3300−3−333-220000−2i2i-2-22233−3−3-1-1110−3300−3−33300−i3i31-100000000−2i2ii−i11-1-133−3−3002i−2i0−i3i30i−i00000000i3−i3000000−ii000
χ532-22-222222-2-2-2-22-2-22220-2-2222-2-2-2-200000000002i−2i2i−2i0000002i−2i2i−2i2-2-220000000000000002i−2i2i−2i2i−2i00000000002i−2i2i−2i2-2000000002i−2i00000000002-20000000
χ542-22-222222-2-2-2-22-2-22220-2-2222-2-2-2-200000000002i−2i−2i2i000000−2i2i−2i2i2-2-22000000000000000−2i2i2i−2i2i−2i0000000000−2i2i−2i2i-22000000002i−2i0000000000-220000000
χ552-22-222222-2-2-2-22-2-22220-2-2222-2-2-2-20000000000−2i2i2i−2i0000002i−2i2i−2i2-2-220000000000000002i−2i−2i2i−2i2i00000000002i−2i2i−2i-2200000000−2i2i0000000000-220000000
χ562-22-222222-2-2-2-22-2-22220-2-2222-2-2-2-20000000000−2i2i−2i2i000000−2i2i−2i2i2-2-22000000000000000−2i2i−2i2i−2i2i0000000000−2i2i−2i2i2-200000000−2i2i00000000002-20000000
χ572-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100−i3i3−i3i3−i3i3002i−2i2i−2i003−33−32i−2i2i−2i-111-1000−i3i3−i3i3−i3i3000000−ii2i−2i−ii3−300003−33−3−ii−ii2-200000000−ii3−3000000−i3i3-110000000
χ582-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100−i3i3−i3i3−i3i3002i−2i−2i2i00−33−33−2i2i−2i2i-111-1000−i3i3−i3i3−i3i3000000i−i2i−2i−ii3−30000−33−33i−ii−i-2200000000−ii3−3000000i3−i31-10000000
χ592-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100−i3i3−i3i3−i3i300−2i2i2i−2i003−33−32i−2i2i−2i-111-1000−i3i3−i3i3−i3i3000000−ii−2i2ii−i−3300003−33−3−ii−ii-2200000000i−i−33000000i3−i31-10000000
χ602-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100−i3i3−i3i3−i3i300−2i2i−2i2i00−33−33−2i2i−2i2i-111-1000−i3i3−i3i3−i3i3000000i−i−2i2ii−i−330000−33−33i−ii−i2-200000000i−i−33000000−i3i3-110000000
χ612-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100i3−i3i3−i3i3−i3002i−2i2i−2i00−33−332i−2i2i−2i-111-1000i3−i3i3−i3i3−i3000000−ii2i−2i−ii−330000−33−33−ii−ii2-200000000−ii−33000000i3−i3-110000000
χ622-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100i3−i3i3−i3i3−i3002i−2i−2i2i003−33−3−2i2i−2i2i-111-1000i3−i3i3−i3i3−i3000000i−i2i−2i−ii−3300003−33−3i−ii−i-2200000000−ii−33000000−i3i31-10000000
χ632-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100i3−i3i3−i3i3−i300−2i2i2i−2i00−33−332i−2i2i−2i-111-1000i3−i3i3−i3i3−i3000000−ii−2i2ii−i3−30000−33−33−ii−ii-2200000000i−i3−3000000−i3i31-10000000
χ642-22-222-12-1-21-212-2-2-1-1201-2-1-1211-2100i3−i3i3−i3i3−i300−2i2i−2i2i003−33−3−2i2i−2i2i-111-1000i3−i3i3−i3i3−i3000000i−i−2i2ii−i3−300003−33−3i−ii−i2-200000000i−i3−3000000i3−i3-110000000
χ6544444-2-2-2-2-2-24-244-2-21-24-2-2-21-211-2-2-2-2-2-2111144004400-2-2-2-2-2-2-2-211114-2-2-2-211110000-2-2-2-20000000000111111110000000000000000000000000000000
χ6644444-2-2-2-2-2-24-244-2-21-24-2-2-21-211-2-2-2-2-2-21111-4-400-4-4002222222211114-2-2-2-21111000022220000000000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ6744444-2-2-2-2-2-24-244-2-21-2-4-2-2-21-211-2-22222-1-1-1-14400-4-400-2-2-2-222221111-42222-1-1-1-10000-2-22200000000001111-1-1-1-10000000000000000000000000000000
χ6844444-2-2-2-2-2-24-244-2-21-2-4-2-2-21-211-2-22222-1-1-1-1-4-40044002222-2-2-2-21111-42222-1-1-1-1000022-2-20000000000-1-1-1-111110000000000000000000000000000000
χ694444-24-24-24-2-2-2-2-241-2-241-21-2-2-2-2-2144-2-2-2-2-2-200440000000000001111-2-2-211111104000000-2-2-2-2-2-20000000000000000000-200111100000000000000000
χ704444-24-24-24-2-2-2-2-241-2-241-21-2-2-2-2-2144-2-2-2-2-2-200-4-40000000000001111-2-2-21111110-40000002222220000000000000000000200-1-1-1-100000000000000000
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χ764444-2-24-24-24-24-2-2-2-2-21-4-21-2-21-2-21-222-4-42222000000-4-40000000011112-1-122-1-1-1-140-2-200000000002222000000000000-2110-1-1000000000000000000000
χ7744-4-444-2-42424-2-4-4-4-2-2402422-4-22-4-2000000004-4000000-2-2220000-2-22200000000000004-4000000000000-2-22200000000000000000000000000000000000
χ7844-4-444-2-42424-2-4-4-4-2-2402422-4-22-4-200000000-4400000022-2-20000-2-2220000000000000-4400000000000022-2-200000000000000000000000000000000000
χ7944-4-44-2-222-224-2-4-42-21-202-22-121-12-223−2300−3−3334-4000000-2-2222323−23−2311-1-1023−2300−3−3330000-2200000000000011-1-1−3−3330000000000000000000000000000000
χ8044-4-44-2-222-224-2-4-42-21-202-22-121-12-223−2300−3−333-4400000022-2-2−23−23232311-1-1023−2300−3−33300002-2000000000000-1-11133−3−30000000000000000000000000000000
χ8144-4-44-2-222-224-2-4-42-21-202-22-121-12-2−23230033−3−34-4000000-2-222−23−23232311-1-10−23230033−3−30000-2200000000000011-1-133−3−30000000000000000000000000000000
χ8244-4-44-2-222-224-2-4-42-21-202-22-121-12-2−23230033−3−3-4400000022-2-22323−23−2311-1-10−23230033−3−300002-2000000000000-1-111−3−3330000000000000000000000000000000
χ8344-4-4-244-4-44-4-2422-4-24-202-22-424-42-2000000000000004i−4i00000000-2-22200000000000000000000000−2i2i4i−4i0000000000000000−2i2i000000000000000000000
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χ8544-4-4-2-242-4-2-4-24222-2-2102122-1-22-1-223−23002323−23−230000004i−4i0000000011-1-10−3300−3−33300−2i32i30000000000−2i2i−2i2i0000000000000i3−i30i−i000000000000000000000
χ8644-4-4-2-242-4-2-4-24222-2-2102122-1-22-1-223−23002323−23−23000000−4i4i0000000011-1-10−3300−3−333002i3−2i300000000002i−2i2i−2i0000000000000−i3i30−ii000000000000000000000
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χ894-44-44-24-242-4-4-44-424-2-20-424-2-2222-40000000000004i−4i000000−2i2i−2i2i-222-20000000000000004i−4i00000000000000−2i2i−2i2i0000000000000000000000000000000
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χ934-44-44-2-2-2-222-424-42-21-2022-21-2-1-122002i3−2i3−i3i3−i3i300004i−4i00−2323−2323−2i2i−2i2i1-1-110002i3−2i3−i3i3−i3i3000000−2i2i00000000003−33−3i−ii−i0000000000000000000000000000000
χ944-44-44-2-2-2-222-424-42-21-2022-21-2-1-122002i3−2i3−i3i3−i3i30000−4i4i0023−2323−232i−2i2i−2i1-1-110002i3−2i3−i3i3−i3i30000002i−2i0000000000−33−33−ii−ii0000000000000000000000000000000
χ954-44-4-24444-4-42-4-22-4-24-2022-24-2-4-42200000000004i−4i000000000000-222-200000000000000000−2i2i4i−4i000000000000000000000000−2i2i0000000000000000000
χ964-44-4-24444-4-42-4-22-4-24-2022-24-2-4-4220000000000−4i4i000000000000-222-2000000000000000002i−2i−4i4i0000000000000000000000002i−2i0000000000000000000
χ974-44-4-24-24-2-4222-22-41-2-20-121-2-2222-100−2i32i3−2i32i3−2i32i3004i−4i0000000000001-1-11000i3−i3i3−i3i3−i300000000−2i2i−2i2i23−230000000000000000000000i−i−3300000000000000000
χ984-44-4-24-24-2-4222-22-41-2-20-121-2-2222-100−2i32i3−2i32i3−2i32i300−4i4i0000000000001-1-11000i3−i3i3−i3i3−i3000000002i−2i2i−2i−23230000000000000000000000−ii3−300000000000000000
χ994-44-4-24-24-2-4222-22-41-2-20-121-2-2222-1002i3−2i32i3−2i32i3−2i3004i−4i0000000000001-1-11000−i3i3−i3i3−i3i300000000−2i2i−2i2i−23230000000000000000000000i−i3−300000000000000000
χ1004-44-4-24-24-2-4222-22-41-2-20-121-2-2222-1002i3−2i32i3−2i32i3−2i300−4i4i0000000000001-1-11000−i3i3−i3i3−i3i3000000002i−2i2i−2i23−230000000000000000000000−ii−3300000000000000000
χ1014-4-44444-4-4-44-4-4-44444404-4-4-4-4-444-40000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-2-42-4-2-42-444-2-240-2-422-42-242000000000000000023−23−23230000-22-2200000000000000000000000000023−23−232300000000000000000000000000000000000
χ1034-4-4444-2-42-4-2-42-444-2-240-2-422-42-2420000000000000000−232323−230000-22-22000000000000000000000000000−232323−2300000000000000000000000000000000000
χ1044-4-444-242-424-4-4-44-24-2-2042-4222-2-2-400000000000000000000−2i32i32i3−2i3-22-220000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ1054-4-444-242-424-4-4-44-24-2-2042-4222-2-2-4000000000000000000002i3−2i3−2i32i3-22-2200000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ1064-4-444-2-2222-2-42-44-2-21-20-222-12-11-2200003i−3i−3i3i0000000023−23−2323−2i32i32i3−2i31-11-1000003i−3i−3i3i000000000000000000−333−3i3−i3−i3i30000000000000000000000000000000
χ1074-4-444-2-2222-2-42-44-2-21-20-222-12-11-2200003i−3i−3i3i00000000−232323−232i3−2i3−2i32i31-11-1000003i−3i−3i3i0000000000000000003−3−33−i3i3i3−i30000000000000000000000000000000
χ1084-4-444-2-2222-2-42-44-2-21-20-222-12-11-220000−3i3i3i−3i0000000023−23−23232i3−2i3−2i32i31-11-100000−3i3i3i−3i000000000000000000−333−3−i3i3i3−i30000000000000000000000000000000
χ1094-4-444-2-2222-2-42-44-2-21-20-222-12-11-220000−3i3i3i−3i00000000−232323−23−2i32i32i3−2i31-11-100000−3i3i3i−3i0000000000000000003−3−33i3−i3−i3i30000000000000000000000000000000
χ1104-4-44-244-4-4-442-42-24-24-20-222-42-44-22000000000000000000000000-22-220000000000000000000000000000000000000000000000000000000000023−2300000
χ1114-4-44-244-4-4-442-42-24-24-20-222-42-44-22000000000000000000000000-22-2200000000000000000000000000000000000000000000000000000000000−232300000
χ1128888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ11488-8-8-48-4-8484-4-444-82-4-40-2-4-244-444200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-444-44-4-44442220-22-2-2-22-2-2243−4300−23−2323230000000000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-444-44-4-44442220-22-2-2-22-2-22−4343002323−23−230000000000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-48-484-84-8-444-4-4204-2-4-4244-240000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-4-4-44444-4442220-2-2222-2-2-2-200−4i34i32i3−2i32i3−2i30000000000000000-111-10002i3−2i3−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4-4-44444-4442220-2-2222-2-2-2-2004i3−4i3−2i32i3−2i32i30000000000000000-111-1000−2i32i3i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1208-8-88-48-4-84-8-4444-482-4-4024-2444-4-4-20000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-484-8484-84-4-4-4-420-4-244-24-4240000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4444-4444-4-422202-2-2-2-2-222-200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4444-4444-4-422202-2-2-2-2-222-20000−6i6i6i−6i0000000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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