Finite Group Databasebeta

← Group #13169292

Character table — Group #13169292

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order12223336666666663334666666666121212121212121244444444121212121212121236661212121212121212122466121212121212121212121212121212121212121212124444666121212121212124444121212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-1111111-1-111-1-1-1-11111111111-1-111111-111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111111111-11-1-111-1-111111111-1-11111111111-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-111-1-1111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-1-1-11-1-1-1-1-1-1-11111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-11-1-111-1-111-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1111-1-1111-1-1-1-1-1-1-111-1-1111-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-111-1-1-1-111-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-11-111111-1-1-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-111111-1-1-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-111111-111-1-1-1-111-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-111-1-11-1-1-1-1-1-1-111-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-11
χ17222222-122-122-12-122-1-122-12-1-1-1-1-12-1-122-1-1-1-1222222002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120-1-1-1-1-1-10022000022-1-1-1-1-1-1-1-100222-1-10-1-100000200-1-100-1-10000000
χ18222222-122-122-12-122-1-122-12-1-1-1-1-12-1-122-1-1-1-122-2-222002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2011-1-11100220000-2-2-1-1-1-1-1-1-1-100-2-2-21101100000-2001100110000000
χ19222222-122-122-12-122-1-122-12-1-1-1-1-12-1-122-1-1-1-1-2-222-2-200-2-2-2-21111-1-1-1-1222-1-1-1-1-1-120-1-111-1-100-2-20000221111111100-2-22-1-10-1-100000-2001100110000000
χ20222222-122-122-12-122-1-122-12-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-200-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-2011111100-2-20000-2-2111111110022-21101100000200-1-100-1-10000000
χ21222222-122-122-12-122-1-1-22-12-1-1-1-1-1211-2-211112222-2-20022221111-1-1-1-1-2-2-2111111-2011-1-1-1-100-2-2000022-1-1-1-111110022-2110-1-100000-2001100-1-10000000
χ22222222-122-122-12-122-1-1-22-12-1-1-1-1-1211-2-2111122-2-2-2-20022221111-1-1-1-1-2-2-211111120-1-1-1-11100-2-20000-2-2-1-1-1-1111100-2-22-1-101100000200-1-100110000000
χ23222222-122-122-12-122-1-1-22-12-1-1-1-1-1211-2-21111-2-2222200-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2111111-201111-1-100220000221111-1-1-1-100-2-2-2110-1-100000200-1-100110000000
χ24222222-122-122-12-122-1-1-22-12-1-1-1-1-1211-2-21111-2-2-2-22200-2-2-2-2-1-1-1-1-1-1-1-1-2-2-211111120-1-1111100220000-2-21111-1-1-1-100222-1-101100000-2001100-1-10000000
χ2522222-122-122-12-122-12-12-1-1-12-122-1-1222222220022002200000000-1-1-1-1-1-1-1-1-1-1-1-1-122220022-1-1002222-1-1000000000000-1-1-1-1-1-1-1-1-1-1200200-1-1000000-100
χ2622222-122-122-12-122-12-12-1-1-12-122-1-122222222002200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22200221100-2-2-2-2-1-1000000000000-1-1-11-1-11111-200-20011000000100
χ2722222-122-122-12-122-12-12-1-1-12-122-1-12222222200-2-2002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-200-2-2-1-100222211000000000000111-111-1-1-1-1-200-20011000000100
χ2822222-122-122-12-122-12-12-1-1-12-122-1-12222222200-2-200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-21100-2-2-2-2110000000000001111111111200200-1-1000000-100
χ2922222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20022002200000000-1-1-1-1111111111-2-2-2-20022-1-10022-2-2-1-10000000000001111-1-1-1-111-200200-1-1000000100
χ3022222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2002200-2-200000000-1-1-1-1111111111-22-2-200221100-2-222-1-1000000000000111-1-1-111-1-1200-20011000000-100
χ3122222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-2002200000000-1-1-1-11111111112-22200-2-2-1-10022-2-211000000000000-1-1-1111-1-111200-20011000000-100
χ3222222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-200-2-200000000-1-1-1-1111111111222200-2-21100-2-22211000000000000-1-1-1-11111-1-1-200200-1-1000000100
χ332222-122-122-12222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-122002222-1-1-1-12222-1-1-1-12-1-122-1-1-1-10200220022-1-1-1-1-1-100-1-1-1-1-1-1-1-12200000200-1-1-1-10020000000-1-1-1-1000
χ342222-122-122-12222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-1220022-2-2-1-1-1-12222-1-1-1-12-1-122-1-1-1-10-2002200-2-2-1-1111100-1-1-1-1-1-1-1-1-2-200000-200111100-200000001111000
χ352222-122-122-12222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-1-2-200-2-2221111-2-2-2-2-1-1-1-12-1-122-1-1-1-10200-2-2002211-1-1-1-10011111111-2-200000200-1-1-1-100-200000001111000
χ362222-122-122-12222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-1-2-200-2-2-2-21111-2-2-2-2-1-1-1-12-1-122-1-1-1-10-200-2-200-2-211111100111111112200000-20011110020000000-1-1-1-1000
χ372222-122-122-12222-1-1-12-2-12-1-12-1-12-1-2-21111112200-2-222-1-1-1-1-2-2-2-2-1-1-1-1-211-2-211110-20022002211-1-11100-1-1-1-11111-2-200000-200-1-1110020000000-1-111000
χ382222-122-122-12222-1-1-12-2-12-1-12-1-12-1-2-21111112200-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-211-2-2111102002200-2-21111-1-100-1-1-1-11111220000020011-1-100-2000000011-1-1000
χ392222-122-122-12222-1-1-12-2-12-1-12-1-12-1-2-2111111-2-200222211112222-1-1-1-1-211-2-211110-200-2-20022-1-1-1-111001111-1-1-1-12200000-200-1-11100-2000000011-1-1000
χ402222-122-122-12222-1-1-12-2-12-1-12-1-12-1-2-2111111-2-20022-2-211112222-1-1-1-1-211-2-211110200-2-200-2-2-1-111-1-1001111-1-1-1-1-2-20000020011-1-10020000000-1-111000
χ412-22-2222-2-2-2-222-2-222220-2-2222-2-2-2-20000000000002i−2i2i−2i00002i2i−2i−2i2-2-22000000000000000002i−2i2i−2i2i−2i000000002i2i−2i−2i2-2000000002i−2i000000000000002-2000
χ422-22-2222-2-2-2-222-2-222220-2-2222-2-2-2-20000000000002i−2i−2i2i00002i2i−2i−2i2-2-2200000000000000000−2i2i2i−2i−2i2i000000002i2i−2i−2i-2200000000−2i2i00000000000000-22000
χ432-22-2222-2-2-2-222-2-222220-2-2222-2-2-2-2000000000000−2i2i2i−2i0000−2i−2i2i2i2-2-22000000000000000002i−2i−2i2i2i−2i00000000−2i−2i2i2i-22000000002i−2i00000000000000-22000
χ442-22-2222-2-2-2-222-2-222220-2-2222-2-2-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i2-2-2200000000000000000−2i2i−2i2i−2i2i00000000−2i−2i2i2i2-200000000−2i2i000000000000002-2000
χ452-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100−i3i3−i3−i3i3i300002i−2i2i−2i33−3−32i2i−2i−2i-111-10−i3i300−i3−i3i3i3000000002i−2i−ii−ii3−30033−3−3−i−iii2-200000000−ii3−30000000000−i3i3-11000
χ462-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100−i3i3−i3−i3i3i300002i−2i−2i2i33−3−32i2i−2i−2i-111-10−i3i300−i3−i3i3i300000000−2i2i−iii−i−330033−3−3−i−iii-2200000000i−i−330000000000i3−i31-1000
χ472-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100−i3i3−i3−i3i3i30000−2i2i2i−2i−3−333−2i−2i2i2i-111-10−i3i300−i3−i3i3i3000000002i−2ii−i−ii3−300−3−333ii−i−i-2200000000−ii3−30000000000i3−i31-1000
χ482-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100−i3i3−i3−i3i3i30000−2i2i−2i2i−3−333−2i−2i2i2i-111-10−i3i300−i3−i3i3i300000000−2i2ii−ii−i−3300−3−333ii−i−i2-200000000i−i−330000000000−i3i3-11000
χ492-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100i3−i3i3i3−i3−i300002i−2i2i−2i−3−3332i2i−2i−2i-111-10i3−i300i3i3−i3−i3000000002i−2i−ii−ii−3300−3−333−i−iii2-200000000−ii−330000000000i3−i3-11000
χ502-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100i3−i3i3i3−i3−i300002i−2i−2i2i−3−3332i2i−2i−2i-111-10i3−i300i3i3−i3−i300000000−2i2i−iii−i3−300−3−333−i−iii-2200000000i−i3−30000000000−i3i31-1000
χ512-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100i3−i3i3i3−i3−i30000−2i2i2i−2i33−3−3−2i−2i2i2i-111-10i3−i300i3i3−i3−i3000000002i−2ii−i−ii−330033−3−3ii−i−i-2200000000−ii−330000000000−i3i31-1000
χ522-22-2-1221-2-2122-2-2-1-1-1201-2-1-1211-2100i3−i3i3i3−i3−i30000−2i2i−2i2i33−3−3−2i−2i2i2i-111-10i3−i300i3i3−i3−i300000000−2i2ii−ii−i3−30033−3−3ii−i−i2-200000000i−i3−30000000000i3−i3-11000
χ532-2-22222-22-22-2-2-22-22220-22-2-2-22-2-22000000002i−2i2i−2i00002i−2i2i−2i000022-2-200000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i0000002-200002i−2i0000000000002-20000000
χ542-2-22222-22-22-2-2-22-22220-22-2-2-22-2-22000000002i−2i−2i2i00002i−2i2i−2i000022-2-200000000000002i−2i−2i2i00000000−2i2i2i−2i2i−2i000000-220000−2i2i000000000000-220000000
χ552-2-22222-22-22-2-2-22-22220-22-2-2-22-2-2200000000−2i2i2i−2i0000−2i2i−2i2i000022-2-20000000000000−2i2i2i−2i000000002i−2i−2i2i−2i2i000000-2200002i−2i000000000000-220000000
χ562-2-22222-22-22-2-2-22-22220-22-2-2-22-2-2200000000−2i2i−2i2i0000−2i2i−2i2i000022-2-20000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i0000002-20000−2i2i0000000000002-20000000
χ572-2-2222-1-2212-21-2-1-22-1-10-2-1-211-11123−3003−33−32i−2i2i−2i00002i−2i2i−2i−i3i3−i3i3-1-1110003−33−33−300−i3i3−ii−ii000000002i−2i−ii−ii−i3i3−i3i3002-20−i3i30−ii000000003−300-110000000
χ582-2-2222-1-2212-21-2-1-22-1-10-2-1-211-11123−3003−33−32i−2i−2i2i00002i−2i2i−2i−i3i3−i3i3-1-1110003−33−33−300i3−i3−iii−i00000000−2i2i−ii−ii−i3i3−i3i300-220i3−i30i−i00000000−33001-10000000
χ592-2-2222-1-2212-21-2-1-22-1-10-2-1-211-11123−3003−33−3−2i2i2i−2i0000−2i2i−2i2ii3−i3i3−i3-1-1110003−33−33−300−i3i3i−i−ii000000002i−2ii−ii−ii3−i3i3−i300-220−i3i30−ii00000000−33001-10000000
χ602-2-2222-1-2212-21-2-1-22-1-10-2-1-211-11123−3003−33−3−2i2i−2i2i0000−2i2i−2i2ii3−i3i3−i3-1-1110003−33−33−300i3−i3i−ii−i00000000−2i2ii−ii−ii3−i3i3−i3002-20i3−i30i−i000000003−300-110000000
χ612-2-2222-1-2212-21-2-1-22-1-10-2-1-211-1112−3300−33−332i−2i2i−2i00002i−2i2i−2ii3−i3i3−i3-1-111000−33−33−3300i3−i3−ii−ii000000002i−2i−ii−iii3−i3i3−i3002-20i3−i30−ii00000000−3300-110000000
χ622-2-2222-1-2212-21-2-1-22-1-10-2-1-211-1112−3300−33−332i−2i−2i2i00002i−2i2i−2ii3−i3i3−i3-1-111000−33−33−3300−i3i3−iii−i00000000−2i2i−ii−iii3−i3i3−i300-220−i3i30i−i000000003−3001-10000000
χ632-2-2222-1-2212-21-2-1-22-1-10-2-1-211-1112−3300−33−33−2i2i2i−2i0000−2i2i−2i2i−i3i3−i3i3-1-111000−33−33−3300i3−i3i−i−ii000000002i−2ii−ii−i−i3i3−i3i300-220i3−i30−ii000000003−3001-10000000
χ642-2-2222-1-2212-21-2-1-22-1-10-2-1-211-1112−3300−33−33−2i2i−2i2i0000−2i2i−2i2i−i3i3−i3i3-1-111000−33−33−3300−i3i3i−ii−i00000000−2i2ii−ii−i−i3i3−i3i3002-20−i3i30i−i00000000−3300-110000000
χ6544444-2-24-2-24-2-2-2-24-2-214-21-2-21-2-21-2-2-244-2-2-2-200440000000000001111-2-2-211111140-2-200-2-200000000-2-2000000000000-211011000000000000000000000
χ6644444-2-24-2-24-2-2-2-24-2-214-21-2-21-2-21-2-2-244-2-2-2-200-4-40000000000001111-2-2-2111111-4022002200000000220000000000002-1-10-1-1000000000000000000000
χ6744444-2-24-2-24-2-2-2-24-2-21-4-21-2-21-2-21-222-4-4222200440000000000001111222-1-1-1-1-1-1-402200-2-200000000-2-20000000000002-1-1011000000000000000000000
χ6844444-2-24-2-24-2-2-2-24-2-21-4-21-2-21-2-21-222-4-4222200-4-40000000000001111222-1-1-1-1-1-140-2-200220000000022000000000000-2110-1-1000000000000000000000
χ694444-24-2-24-2-24-24-2-2-21-24-2-2-21-211-2-2-2-2-2-2111144004400-2-2-2-2-2-2-2-211114-2-2-2-211110000-2-20000-2-2000000111111110000000000000000000000000000000
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χ8444-4-4-24-2-2-4-22-42422-21-20-222-12-11-2200003i−3i−3i3i00000000−2i32i32i3−2i323−23−23231-11-1000003i−3i−3i3i000000000000000000i3−i3−i3i3−333−30000000000000000000000000000000
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χ924-44-4-24-22-4224-2-42-2-21-2022-21-2-1-12200−2i32i3i3i3−i3−i300004i−4i002323−23−23−2i−2i2i2i1-1-110−2i32i300i3i3−i3−i30000000000−2i2i000000−3−333ii−i−i0000000000000000000000000000000
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χ964-44-4-2-2422-42-242-4-21-2-20-121-2-2222-100−2i32i3−2i3−2i32i32i30000004i−4i000000001-1-110i3−i300i3i3−i3−i300000000−2i2i00−2i2i23−2300000000000000000000i−i−3300000000000000000
χ974-44-4-2-2422-42-242-4-21-2-20-121-2-2222-100−2i32i3−2i3−2i32i32i3000000−4i4i000000001-1-110i3−i300i3i3−i3−i3000000002i−2i002i−2i−232300000000000000000000−ii3−300000000000000000
χ984-44-4-2-2422-42-242-4-21-2-20-121-2-2222-1002i3−2i32i32i3−2i3−2i30000004i−4i000000001-1-110−i3i300−i3−i3i3i300000000−2i2i00−2i2i−232300000000000000000000i−i3−300000000000000000
χ994-44-4-2-2422-42-242-4-21-2-20-121-2-2222-1002i3−2i32i32i3−2i3−2i3000000−4i4i000000001-1-110−i3i300−i3−i3i3i3000000002i−2i002i−2i23−2300000000000000000000−ii−3300000000000000000
χ1004-4-444-24-4-2-442-424-4-24-202-22-424-42-200000000004i−4i000000000000-2-2220000000000000004i−4i00000000−2i2i0000000000000000−2i2i000000000000000000000
χ1014-4-444-24-4-2-442-424-4-24-202-22-424-42-20000000000−4i4i000000000000-2-222000000000000000−4i4i000000002i−2i00000000000000002i−2i000000000000000000000
χ1024-4-444-2-2-4-224222-2-4-2-2102122-1-22-1-223−230023−2323−23004i−4i00000000000011-1-1000−33−33−3300−2i32i300−2i2i00000000−2i2i0000000000000i3−i30i−i000000000000000000000
χ1034-4-444-2-2-4-224222-2-4-2-2102122-1-22-1-223−230023−2323−2300−4i4i00000000000011-1-1000−33−33−33002i3−2i3002i−2i000000002i−2i0000000000000−i3i30−ii000000000000000000000
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χ1064-4-44-24424-4-2-4-4-442-2-2402422-4-22-4-2000000004i−4i000000−2i2i−2i2i0000-2-22200000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000000000000000
χ1074-4-44-24424-4-2-4-4-442-2-2402422-4-22-4-200000000−4i4i0000002i−2i2i−2i0000-2-2220000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000000000000000
χ1084-4-44-24-2242-2-42-4-22-21-202-22-121-12-223−2300−33−334i−4i000000−2i2i−2i2i−2i32i3−2i32i311-1-100023−23−33−330000−2i2i000000000000i−ii−ii3−i3i3−i30000000000000000000000000000000
χ1094-4-44-24-2242-2-42-4-22-21-202-22-121-12-223−2300−33−33−4i4i0000002i−2i2i−2i2i3−2i32i3−2i311-1-100023−23−33−3300002i−2i000000000000−ii−ii−i3i3−i3i30000000000000000000000000000000
χ1104-4-44-24-2242-2-42-4-22-21-202-22-121-12-2−2323003−33−34i−4i000000−2i2i−2i2i2i3−2i32i3−2i311-1-1000−23233−33−30000−2i2i000000000000i−ii−i−i3i3−i3i30000000000000000000000000000000
χ1114-4-44-24-2242-2-42-4-22-21-202-22-121-12-2−2323003−33−3−4i4i0000002i−2i2i−2i−2i32i3−2i32i311-1-1000−23233−33−300002i−2i000000000000−ii−iii3−i3i3−i30000000000000000000000000000000
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
χ11488-8-88-4-484-4-844-44-8-4-420-4-244-24-4240000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-48-44844-8-4-842-4-4024-2444-4-4-20000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-4-44-4444-44422202-2-2-2-2-222-200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-4-44-4444-44422202-2-2-2-2-222-20000−6i6i6i−6i0000000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1188-88-88-4-4-844-8-4-4448-4-4204-2-4-4244-240000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-44444-4-444-42220-2-2222-2-2-2-200−4i34i32i32i3−2i3−2i30000000000000000-111-102i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-44444-4-444-42220-2-2222-2-2-2-2004i3−4i3−2i3−2i32i32i30000000000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-484-4-8-44-84842-4-40-2-4-244-444200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-44-44-4444-442220-22-2-2-22-2-2243−4300−2323−23230000000000000000-1-111000−23233−33−3000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-44-44-4444-442220-22-2-2-22-2-22−43430023−2323−230000000000000000-1-11100023−23−33−33000000000000000000000000000000000000000000000000000000000

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