Finite Group Databasebeta

← Group #13169309

Character table — Group #13169309

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order12223334466666666633366666666612121212121244443666121212121212121212122444661212121212121212121212121212224444666612121212666121212121212121212121212122446612121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111111-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-111-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111-1-111-1-111
χ5111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1111-1-111-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-1-111-1-1-1-111
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111-111-1-1-1-1111-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1111111-1-1-1-11-111111-1-1-1-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-111-1-1111111-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-11111-1-1-111-1-11111111-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-111111-111111-1-1-1-1-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-1-1111111-1-111-111-1-1-1-111-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111111111111111-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-111-1-11-1
χ17222222-1222-1-12222-122-1-12-1-1-12-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-12222220000220022002200002200000000-1-1-1-1-1-100-1-1-1-100-1-1200-1-100-1-10000
χ18222222-1222-1-12222-122-1-12-1-1-12-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-12-2-22220000-2-2002200-2-20000-2-200000000-1-1-1-11100-1-1110011-2001100110000
χ19222222-1222-1-12222-122-1-12-1-1-12-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-222-2-2-200002200-2-200220000-2-2000000001111-1-10011-1-100-1-1-2001100110000
χ20222222-1222-1-12222-122-1-12-1-1-12-1-12-122-1-1220000-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-20000-2-200-2-200-2-2000022000000001111110011110011200-1-100-1-10000
χ21222222-1-2-22-1-12222-122-1-12-1-1-12-1-12-1-2-211-2-20000-1-1-1-111-2-211111122-2-22200002200-2-200-2-200002200000000-1-1-11-110011-1-10011-2001100-1-10000
χ22222222-1-2-22-1-12222-122-1-12-1-1-12-1-12-1-2-211-2-20000-1-1-1-111-2-21111112-22-2220000-2-200-2-200220000-2-200000000-1-1-111-100111100-1-1200-1-100110000
χ23222222-1-2-22-1-12222-122-1-12-1-1-12-1-12-1-2-211-2-20000-1-1-1-111-2-2111111-22-22-2-2000022002200-2-20000-2-200000000111-1-1100-1-1-1-10011200-1-100110000
χ24222222-1-2-22-1-12222-122-1-12-1-1-12-1-12-1-2-211-2-20000-1-1-1-111-2-2111111-2-222-2-20000-2-20022002200002200000000111-11-100-1-11100-1-1-2001100-1-10000
χ2522222-1222-1222-1222-1-1-12-1-122-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-102200022-1-1-1-12200-1-1-1-1220000-1-1-1-10000000022-1-100-1-1-1-1-1-1020000000-1-100
χ2622222-1222-1222-1222-1-1-12-1-122-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-10-2-200022-1-1112200-1-111-2-20000111100000000-2-2-1-10011-1-1110-200000001100
χ2722222-1222-1222-1222-1-1-12-1-122-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1022000-2-211-1-1-2-20011-1-1-2-20000111100000000221100-1-111-1-10-200000001100
χ2822222-1222-1222-1222-1-1-12-1-122-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-10-2-2000-2-21111-2-2001111220000-1-1-1-100000000-2-21100111111020000000-1-100
χ2922222-12-2-2-1222-1222-1-1-12-1-122-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-21111111102-2000-2-2-1-1-1-122001111220000-1-1-1-1000000002-2-1-100-1-111110-200000001100
χ3022222-12-2-2-1222-1222-1-1-12-1-122-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-2111111110-22000-2-2-1-111220011-1-1-2-20000111100000000-22-1-1001111-1-1020000000-1-100
χ3122222-12-2-2-1222-1222-1-1-12-1-122-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-21111111102-20002211-1-1-2-200-1-111-2-200001111000000002-21100-1-1-1-111020000000-1-100
χ3222222-12-2-2-1222-1222-1-1-12-1-122-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-2111111110-22000221111-2-200-1-1-1-1220000-1-1-1-100000000-22110011-1-1-1-10-200000001100
χ332222-12222222-12-1-122-12-1-12-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12002-1-1-1-12200-1-1-1-122000022000000-1-1-1-12-1-1200-1-1-1-100-1-10000200-1-1000000
χ342222-12222222-12-1-122-12-1-12-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-200-211-1-12200-1-111220000-2-20000001111-211-200-1-11100-1-10000-20011000000
χ352222-12222222-12-1-122-12-1-12-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-12002-1-111-2-20011-1-1-2-20000-2-200000011112-1-120011-1-100110000-20011000000
χ362222-12222222-12-1-122-12-1-12-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-200-21111-2-2001111-2-2000022000000-1-1-1-1-211-200111100110000200-1-1000000
χ372222-122-2-2222-12-1-122-12-1-12-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-21111200-2-1-1112200-1-111-2-2000022000000-1-1-1-12-1-1-200-1-11100110000-20011000000
χ382222-122-2-2222-12-1-122-12-1-12-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-21111-200211112200-1-1-1-1-2-20000-2-20000001111-211200-1-1-1-100110000200-1-1000000
χ392222-122-2-2222-12-1-122-12-1-12-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-21111200-2-1-1-1-1-2-2001111220000-2-200000011112-1-1-200111100-1-10000200-1-1000000
χ402222-122-2-2222-12-1-122-12-1-12-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-21111-200211-1-1-2-20011-1-122000022000000-1-1-1-1-21120011-1-100-1-10000-20011000000
χ4122-2-22222i−2i-22-2-222-2-2-2222-2-22-222-2-2-22i−2i2i−2i2i−2i2-22i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000002i−2i2-2002-2002i−2i00000000000000000000002-200002i−2i000000000000000
χ4222-2-22222i−2i-22-2-222-2-2-2222-2-22-222-2-2-22i−2i2i−2i2i−2i-22−2i2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i000000−2i2i-2200-2200−2i2i0000000000000000000000-220000−2i2i000000000000000
χ4322-2-2222−2i2i-22-2-222-2-2-2222-2-22-222-2-2-2−2i2i−2i2i−2i2i2-2−2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i000000−2i2i2-2002-200−2i2i00000000000000000000002-20000−2i2i000000000000000
χ4422-2-2222−2i2i-22-2-222-2-2-2222-2-22-222-2-2-2−2i2i−2i2i−2i2i-222i−2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000002i−2i-2200-22002i−2i0000000000000000000000-2200002i−2i000000000000000
χ4522-2-22-122i−2i12-2-2-12-2-21-1-12112-2-1-1-2112i−2i2i−2i−ii2-22i−2i-1-1112i−2i−ii−ii−i−iii0000002i−2i-11−i3i32-200−ii3−3000000−i3−i3i3i30000000000-1100−i3i3−ii3−30000000003−300
χ4622-2-22-122i−2i12-2-2-12-2-21-1-12112-2-1-1-2112i−2i2i−2i−ii2-22i−2i-1-1112i−2i−ii−ii−i−iii0000002i−2i-11i3−i32-200−ii−33000000i3i3−i3−i30000000000-1100i3−i3−ii−33000000000−3300
χ4722-2-22-122i−2i12-2-2-12-2-21-1-12112-2-1-1-2112i−2i2i−2i−ii-22−2i2i-1-1112i−2i−ii−ii−i−iii000000−2i2i1-1−i3i3-2200i−i3−3000000i3i3−i3−i300000000001-100−i3i3i−i3−3000000000−3300
χ4822-2-22-122i−2i12-2-2-12-2-21-1-12112-2-1-1-2112i−2i2i−2i−ii-22−2i2i-1-1112i−2i−ii−ii−i−iii000000−2i2i1-1i3−i3-2200i−i−33000000−i3−i3i3i300000000001-100i3−i3i−i−330000000003−300
χ4922-2-22-12−2i2i12-2-2-12-2-21-1-12112-2-1-1-211−2i2i−2i2ii−i2-2−2i2i-1-111−2i2ii−ii−iii−i−i000000−2i2i-11−i3i32-200i−i−33000000−i3−i3i3i30000000000-1100−i3i3i−i−33000000000−3300
χ5022-2-22-12−2i2i12-2-2-12-2-21-1-12112-2-1-1-211−2i2i−2i2ii−i2-2−2i2i-1-111−2i2ii−ii−iii−i−i000000−2i2i-11i3−i32-200i−i3−3000000i3i3−i3−i30000000000-1100i3−i3i−i3−30000000003−300
χ5122-2-22-12−2i2i12-2-2-12-2-21-1-12112-2-1-1-211−2i2i−2i2ii−i-222i−2i-1-111−2i2ii−ii−iii−i−i0000002i−2i1-1−i3i3-2200−ii−33000000i3i3−i3−i300000000001-100−i3i3−ii−330000000003−300
χ5222-2-22-12−2i2i12-2-2-12-2-21-1-12112-2-1-1-211−2i2i−2i2ii−i-222i−2i-1-111−2i2ii−ii−iii−i−i0000002i−2i1-1i3−i3-2200−ii3−3000000−i3−i3i3i300000000001-100i3−i3−ii3−3000000000−3300
χ5322-2-2-1222i−2i-22-212-11-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i2-22i−2i-1-111−ii−ii2i−2i−i−iii0000−i3i3−ii2-200-113−32i−2i000000000000−i3−i3i3i30−i3i3000-113−300−ii00000003−3000000
χ5422-2-2-1222i−2i-22-212-11-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i2-22i−2i-1-111−ii−ii2i−2i−i−iii0000i3−i3−ii2-200-11−332i−2i000000000000i3i3−i3−i30i3−i3000-11−3300−ii0000000−33000000
χ5522-2-2-1222i−2i-22-212-11-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i-22−2i2i-1-111−ii−ii2i−2i−i−iii0000−i3i3i−i-22001-13−3−2i2i000000000000i3i3−i3−i30−i3i30001-13−300i−i0000000−33000000
χ5622-2-2-1222i−2i-22-212-11-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i-22−2i2i-1-111−ii−ii2i−2i−i−iii0000i3−i3i−i-22001-1−33−2i2i000000000000−i3−i3i3i30i3−i30001-1−3300i−i00000003−3000000
χ5722-2-2-122−2i2i-22-212-11-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i2-2−2i2i-1-111i−ii−i−2i2iii−i−i0000−i3i3i−i2-200-11−33−2i2i000000000000−i3−i3i3i30−i3i3000-11−3300i−i0000000−33000000
χ5822-2-2-122−2i2i-22-212-11-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i2-2−2i2i-1-111i−ii−i−2i2iii−i−i0000i3−i3i−i2-200-113−3−2i2i000000000000i3i3−i3−i30i3−i3000-113−300i−i00000003−3000000
χ5922-2-2-122−2i2i-22-212-11-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i-222i−2i-1-111i−ii−i−2i2iii−i−i0000−i3i3−ii-22001-1−332i−2i000000000000i3i3−i3−i30−i3i30001-1−3300−ii00000003−3000000
χ6022-2-2-122−2i2i-22-212-11-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i-222i−2i-1-111i−ii−i−2i2iii−i−i0000i3−i3−ii-22001-13−32i−2i000000000000−i3−i3i3i30i3−i30001-13−300−ii0000000−33000000
χ612-2-22222002-22-2-2-22-2-222222-2-2-2-22-2-200000000002-22-20000000000000000000000000000002-22i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000002i−2i0000
χ622-2-22222002-22-2-2-22-2-222222-2-2-2-22-2-200000000002-22-20000000000000000000000000000002-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000000000000000000−2i2i0000
χ632-2-22222002-22-2-2-22-2-222222-2-2-2-22-2-200000000002-22-2000000000000000000000000000000-222i−2i−2i2i-22-222i−2i2i−2i00000000000000000000000−2i2i0000
χ642-2-22222002-22-2-2-22-2-222222-2-2-2-22-2-200000000002-22-2000000000000000000000000000000-22−2i2i2i−2i-22-22−2i2i−2i2i000000000000000000000002i−2i0000
χ6544444-2-244-2-2-24-244-2-2-21-2-21-2-2-21-2-2144-2-2-2-200001111-2-2-2-21111110440000000-2-2000000-2-2000000000000000000-2-200001100110000000000000
χ6644444-2-244-2-2-24-244-2-2-21-2-21-2-2-21-2-2144-2-2-2-200001111-2-2-2-21111110-4-400000002200000022000000000000000000220000-1-100-1-10000000000000
χ6744444-2-2-4-4-2-2-24-244-2-2-21-2-21-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-104-40000000-2-200000022000000000000000000-2200001100-1-10000000000000
χ6844444-2-2-4-4-2-2-24-244-2-2-21-2-21-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-10-44000000022000000-2-20000000000000000002-20000-1-100110000000000000
χ694444-24-2444-2-2-24-2-2-24-2-21-2-211-2-21-2-2-2-2-2-2440000111111-2-2-2-211114004-2-200000000-2-2000000000000000000-211-20000110000000000000000000
χ704444-24-2444-2-2-24-2-2-24-2-21-2-211-2-21-2-2-2-2-2-2440000111111-2-2-2-21111-400-42200000000220000000000000000002-1-120000-1-10000000000000000000
χ714444-24-2-4-44-2-2-24-2-2-24-2-21-2-211-2-21-2-22222-4-400001111-1-12222-1-1-1-1400-4-2-20000000022000000000000000000-21120000-1-10000000000000000000
χ724444-24-2-4-44-2-2-24-2-2-24-2-21-2-211-2-21-2-22222-4-400001111-1-12222-1-1-1-1-40042200000000-2-20000000000000000002-1-1-20000110000000000000000000
χ734444-2-2444-244-2-2-2-24-21-2-21-2-2-21-2-21-2-2-244-2-244441111-2-211-2-21111000000-2-2-2-200-2-200-2-2000000000000000000000011000011000000000000000
χ744444-2-2444-244-2-2-2-24-21-2-21-2-2-21-2-21-2-2-244-2-2-4-4-4-41111-2-211-2-211110000002222002200220000000000000000000000-1-10000-1-1000000000000000
χ754444-2-24-4-4-244-2-2-2-24-21-2-21-2-2-21-2-21-222-4-42244-4-4111122-1-122-1-1-1-100000022-2-200-2-200220000000000000000000000110000-1-1000000000000000
χ764444-2-24-4-4-244-2-2-2-24-21-2-21-2-2-21-2-21-222-4-422-4-444111122-1-122-1-1-1-1000000-2-222002200-2-20000000000000000000000-1-1000011000000000000000
χ7744-4-444-24i−4i-4-22-444-42-44-2-2-42-224-22-424i−4i−2i2i4i−4i0000-2-222−2i2i4i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ7844-4-444-2−4i4i-4-22-444-42-44-2-2-42-224-22-42−4i4i2i−2i−4i4i0000-2-2222i−2i−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ7944-4-44-2-24i−4i2-22-4-24-422-21-22-1-22-2122-14i−4i−2i2i−2i2i000011-1-1−2i2i−2i2ii−iii−i−i0000000000−2i32i300000023−23000000000000000000000000i3−i300−330000000000000
χ8044-4-44-2-24i−4i2-22-4-24-422-21-22-1-22-2122-14i−4i−2i2i−2i2i000011-1-1−2i2i−2i2ii−iii−i−i00000000002i3−2i3000000−2323000000000000000000000000−i3i3003−30000000000000
χ8144-4-44-2-2−4i4i2-22-4-24-422-21-22-1-22-2122-1−4i4i2i−2i2i−2i000011-1-12i−2i2i−2i−ii−i−iii0000000000−2i32i3000000−2323000000000000000000000000i3−i3003−30000000000000
χ8244-4-44-2-2−4i4i2-22-4-24-422-21-22-1-22-2122-1−4i4i2i−2i2i−2i000011-1-12i−2i2i−2i−ii−i−iii00000000002i3−2i300000023−23000000000000000000000000−i3i300−330000000000000
χ8344-4-4-24-24i−4i-4-2224-222-4-2-21221-1-2-2-122−2i2i−2i2i4i−4i000011-1-1i−i−2i2i−2i2iii−i−i0000−2i32i30000000023−230000000000000000000i3−i300000−330000000000000000000
χ8444-4-4-24-24i−4i-4-2224-222-4-2-21221-1-2-2-122−2i2i−2i2i4i−4i000011-1-1i−i−2i2i−2i2iii−i−i00002i3−2i300000000−23230000000000000000000−i3i3000003−30000000000000000000
χ8544-4-4-24-2−4i4i-4-2224-222-4-2-21221-1-2-2-1222i−2i2i−2i−4i4i000011-1-1−ii2i−2i2i−2i−i−iii0000−2i32i300000000−23230000000000000000000i3−i3000003−30000000000000000000
χ8644-4-4-24-2−4i4i-4-2224-222-4-2-21221-1-2-2-1222i−2i2i−2i−4i4i000011-1-1−ii2i−2i2i−2i−i−iii00002i3−2i30000000023−230000000000000000000−i3i300000−330000000000000000000
χ8744-4-4-2-244i−4i24-42-2-22-421-2-2-12-221-22-12−2i2i4i−4i−2i2i4-44i−4i11-1-1−2i2ii−i−2i2iii−i−i000000−2i2i-2200-2200−2i2i00000000000000000000001-10000i−i000000000000000
χ8844-4-4-2-244i−4i24-42-2-22-421-2-2-12-221-22-12−2i2i4i−4i−2i2i-44−4i4i11-1-1−2i2ii−i−2i2iii−i−i0000002i−2i2-2002-2002i−2i0000000000000000000000-110000−ii000000000000000
χ8944-4-4-2-24−4i4i24-42-2-22-421-2-2-12-221-22-122i−2i−4i4i2i−2i4-4−4i4i11-1-12i−2i−ii2i−2i−i−iii0000002i−2i-2200-22002i−2i00000000000000000000001-10000−ii000000000000000
χ9044-4-4-2-24−4i4i24-42-2-22-421-2-2-12-221-22-122i−2i−4i4i2i−2i-444i−4i11-1-12i−2i−ii2i−2i−i−iii000000−2i2i2-2002-200−2i2i0000000000000000000000-110000i−i000000000000000
χ914-44-444400-4-4-44-4-4-444444-4-4-44-4-4-44400000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-444-200-4224-4-4-4-244-2-2-422-2-4224-20000000000-222-2000000000000000000000000000000000000000000000000000000000000000−2i32i300000000
χ934-44-444-200-4224-4-4-4-244-2-2-422-2-4224-20000000000-222-20000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
χ944-44-44-24002-4-442-4-44-2-2-2422-4422-4-2-20000000000-222-2000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ954-44-44-24002-4-442-4-44-2-2-2422-4422-4-2-20000000000-222-20000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ964-44-4-24400-4-4-4-2-42244-24-22-42-22-42-240000000000-222-2000000000000000000000000000000000000000023−23−232300000000000000000000000000000
χ974-44-4-24400-4-4-4-2-42244-24-22-42-22-42-240000000000-222-20000000000000000000000000000000000000000−232323−2300000000000000000000000000000
χ984-4-4444-20042-2-4-4-442-44-2-24-222-42-2-420000000000-22-2200000000000000000000000000000000004i−4i0000000000000000000000000000000−2i2i0000
χ994-4-4444-20042-2-4-4-442-44-2-24-222-42-2-420000000000-22-220000000000000000000000000000000000−4i4i00000000000000000000000000000002i−2i0000
χ1004-4-444-2400-2-44-42-44-42-2-24-2-2-4-4224220000000000-22-220000000000000000000000000000004-40000-22-22000000000000000000000000000000000
χ1014-4-444-2400-2-44-42-44-42-2-24-2-2-4-4224220000000000-22-22000000000000000000000000000000-4400002-22-2000000000000000000000000000000000
χ1024-4-44-244004-442-42-2-4-4-24-2-24222-4-22-40000000000-22-22000000000000000000000000000000004i−4i000000−2i2i−2i2i00000000000000000000000000000
χ1034-4-44-244004-442-42-2-4-4-24-2-24222-4-22-40000000000-22-2200000000000000000000000000000000−4i4i0000002i−2i2i−2i00000000000000000000000000000
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
χ10688-8-8-4-4-48i−8i4-444-4-4444222-2-22-222-2-2-2−4i4i−4i4i−4i4i0000-1-1112i−2i2i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4−8i8i4-444-4-4444222-2-22-222-2-2-24i−4i4i−4i4i−4i0000-1-111−2i2i−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-40044484-8-8-4-4-42-44-24-44-24-4200000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-400-844-4-844-48-4-4244-2244-2-4-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-48004-8-8-44448-42-4-4-244-4-2442-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400444-4444-4-4222-2-2-22-2-2-2220000000000-111-1000000−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-400444-4444-4-4222-2-2-22-2-2-2220000000000-111-10000003i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-400-44-4-84-8844-42-4-42444-2-44-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-40084-44-84-44-8-4-42-4-4-2-24424400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-4-88444-4-842-4-42-444-24-4-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-44-4444-44422222-2-2-2-22-2-20000000000-11-1100000033−33−3333000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-44-4444-44422222-2-2-2-22-2-20000000000-11-11000000−333333−33000000000000000000000000000000000000000000000000000000000000000

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