Finite Group Databasebeta

← Group #13168576

Character table — Group #13168576

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212444444121212123666121212121212121244412121212121212121212121212121212121212121212121212122266661212121212121212121224444121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-11111-1-11111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-1-111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-11-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-111-1-11111111111111111111-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-111-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-1-111111-1-111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-11111-1-1-111-1-111-1-111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-11-11-1-11111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111111-1-1-1-111111111111-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1111-111-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1111-111-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-111111-1-1-1-111-1-1-111-1-1-1-1111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1111-11-11-1-11111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-111-1-111-1-1-1-1-111
χ17222222-12222-12-1-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-10022002222-1-1-1-122-1-1-1-1-1-122200-1-122-1-10000220022-1-1-1-1-1-1-1-1000000-1-100-1-100-1-12002000000000-1-10
χ18222222-12222-12-1-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-10022002222-1-1-1-122-1-1-1-1-1-1-22-200-1-1-2-2-1-100002200-2-2-1-1-1-1-1-1-1-10000001100110011-200-2000000000110
χ19222222-12222-12-1-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-100-2-200-2-2-2-2-1-1-1-122-1-1-1-1-1-12-22001122110000-2-2002211111111000000-1-100-1-100-1-1-200-2000000000110
χ20222222-12222-12-1-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-100-2-200-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-20011-2-2110000-2-200-2-21111111100000011001100112002000000000-1-10
χ21222222-1-2-222-12-1-12222-1-12-1-12-1-1-12-111-2-2-2-211110022002222-1-1-1-1-2-21111112-2-20011-2-2-1-10000-2-20022-1-1-1-11111000000-11001100-1-1-20020000000001-10
χ22222222-1-2-222-12-1-12222-1-12-1-12-1-1-12-111-2-2-2-211110022002222-1-1-1-1-2-2111111-2-22001122-1-10000-2-200-2-2-1-1-1-111110000001-100-1-10011200-2000000000-110
χ23222222-1-2-222-12-1-12222-1-12-1-12-1-1-12-111-2-2-2-2111100-2-200-2-2-2-2-1-1-1-1-2-211111122-200-1-1-2-21100002200221111-1-1-1-1000000-11001100-1-1200-2000000000-110
χ24222222-1-2-222-12-1-12222-1-12-1-12-1-1-12-111-2-2-2-2111100-2-200-2-2-2-2-1-1-1-1-2-2111111-22200-1-1221100002200-2-21111-1-1-1-10000001-100-1-10011-20020000000001-10
χ2522222-1222-122-12222-1-12-1-1-12-122-1-1-12222-1-122222200220000-1-1-1-1-1-1-1-1-1-1-1-1202-1-100-1-100222200-1-1-1-10000000022-1-1-1-122-1-1-1-1-1-1-1-1002000000-1-100000
χ2622222-1222-122-12222-1-12-1-1-12-122-1-1-12222-1-122222200220000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-1-1001100222200-1-11100000000-2-21111-2-2-1-111-1-11100-20000001100000
χ2722222-1222-122-12222-1-12-1-1-12-122-1-1-12222-1-12222-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-12021100-1-100-2-2-2-20011-1-100000000-2-211112211-1-111-1-100-20000001100000
χ2822222-1222-122-12222-1-12-1-1-12-122-1-1-12222-1-12222-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-20-211001100-2-2-2-20011110000000022-1-1-1-1-2-211111111002000000-1-100000
χ2922222-12-2-2-122-12222-1-12-1-1-12-122-1-1-1-2-2-2-211-2-2-2-22200-2-20000-1-1-1-11111111120-21100110022-2-200-1-1-1-10000000022-1-1-1-12-21111-1-1-1-100-20000001100000
χ3022222-12-2-2-122-12222-1-12-1-1-12-122-1-1-1-2-2-2-211-2-2-2-22200-2-20000-1-1-1-111111111-2021100-1-10022-2-200-1-11100000000-2-21111-2211-1-1-1-111002000000-1-100000
χ3122222-12-2-2-122-12222-1-12-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2-2-200220000-1-1-1-11111111120-2-1-1001100-2-2220011-1-100000000-2-211112-2-1-11111-1-1002000000-1-100000
χ3222222-12-2-2-122-12222-1-12-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2-2-200220000-1-1-1-111111111-202-1-100-1-100-2-2220011110000000022-1-1-1-1-22-1-1-1-1111100-20000001100000
χ332222-122222-12222-1-12-1-12-12-1-1-1-12-1222-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-102022220022-1-1-1-1-1-12200-1-1-1-1-1-1-1-100000000-1-100-1-10002002-1-1-1-10000000
χ342222-122222-12222-1-12-1-12-12-1-1-1-12-1222-1-122-1-1-1-122-2-2221111-1-1-1-1-1-122-1-1-1-10-2022-2-200-2-2-1-1-1-11122001111111100000000-1-100-1-1000-200-211110000000
χ352222-122222-12222-1-12-1-12-12-1-1-1-12-1222-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-122-1-1-1-1020-2-22200221111-1-1-2-200-1-1-1-1-1-1-1-100000000110011000-200-211110000000
χ362222-122222-12222-1-12-1-12-12-1-1-1-12-1222-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-10-20-2-2-2-200-2-2111111-2-20011111111000000001100110002002-1-1-1-10000000
χ372222-122-2-22-12222-1-12-1-12-12-1-1-1-12-12-2-211-2-211112222-2-2-1-1-1-1-1-1-1-111-2-211110-20-2-2-2-20022-1-111112200-1-1-1-11111000000001100-1-1000-200211-1-10000000
χ382222-122-2-22-12222-1-12-1-12-12-1-1-1-12-12-2-211-2-2111122-2-2-2-21111-1-1-1-111-2-21111020-2-22200-2-2-1-111-1-122001111-1-1-1-1000000001100-1-1000200-2-1-1110000000
χ392222-122-2-22-12222-1-12-1-12-12-1-1-1-12-12-2-211-2-21111-2-22222-1-1-1-1-1-1-1-111-2-211110-2022-2-2002211-1-111-2-200-1-1-1-1111100000000-1-10011000200-2-1-1110000000
χ402222-122-2-22-12222-1-12-1-12-12-1-1-1-12-12-2-211-2-21111-2-2-2-2221111-1-1-1-111-2-21111020222200-2-211-1-1-1-1-2-2001111-1-1-1-100000000-1-10011000-200211-1-10000000
χ4122-2-222200-2-22-2-2-22-22222-2-22-2-2-2-2220000000000002i−2i002i2i−2i−2i2-2-22000000000000000002i−2i00000000002i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-222200-2-22-2-2-22-22222-2-22-2-2-2-2220000000000002i−2i002i2i−2i−2i2-2-22000000000000000002i−2i00000000002i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-222200-2-22-2-2-22-22222-2-22-2-2-2-222000000000000−2i2i00−2i−2i2i2i2-2-2200000000000000000−2i2i0000000000−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-222200-2-22-2-2-22-22222-2-22-2-2-2-222000000000000−2i2i00−2i−2i2i2i2-2-2200000000000000000−2i2i0000000000−2i−2i2i2i0000-22-2-2220000000000000000000002i−2i000
χ452-2-222222i−2i-2-2-222-2-22-2222-2-2-222-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2i−2i002-2000022-2-22i−2i2i−2i2i2i−2i−2i0002-20000002i−2i2-2002i−2i0000000000000000002-2002i−2i000000000000000000
χ462-2-222222i−2i-2-2-222-2-22-2222-2-2-222-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i−2i2i00-22000022-2-22i−2i2i−2i2i2i−2i−2i000-22000000−2i2i-2200−2i2i000000000000000000-2200−2i2i000000000000000000
χ472-2-22222−2i2i-2-2-222-2-22-2222-2-2-222-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2i−2i00-22000022-2-2−2i2i−2i2i−2i−2i2i2i000-220000002i−2i-22002i−2i000000000000000000-22002i−2i000000000000000000
χ482-2-22222−2i2i-2-2-222-2-22-2222-2-2-222-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i−2i2i002-2000022-2-2−2i2i−2i2i−2i−2i2i2i0002-2000000−2i2i2-200−2i2i0000000000000000002-200−2i2i000000000000000000
χ492-2-222-122i−2i1-2-2-12-2-221-12-111-2-12-2-1112i−2i2i−2i−ii2i2i−2i−2i2i−2i002-20000-1-111−ii−ii−i−iii000-1100−i3i3002i−2i2-200−ii3−30000000000−i3i3−i3i300-11−i3i3−ii3−30000000003−300000
χ502-2-222-122i−2i1-2-2-12-2-221-12-111-2-12-2-1112i−2i2i−2i−ii2i2i−2i−2i2i−2i002-20000-1-111−ii−ii−i−iii000-1100i3−i3002i−2i2-200−ii−330000000000i3−i3i3−i300-11i3−i3−ii−33000000000−3300000
χ512-2-222-122i−2i1-2-2-12-2-221-12-111-2-12-2-1112i−2i2i−2i−ii2i2i−2i−2i−2i2i00-220000-1-111−ii−ii−i−iii0001-100−i3i300−2i2i-2200i−i3−30000000000i3−i3i3−i3001-1−i3i3i−i3−3000000000−3300000
χ522-2-222-122i−2i1-2-2-12-2-221-12-111-2-12-2-1112i−2i2i−2i−ii2i2i−2i−2i−2i2i00-220000-1-111−ii−ii−i−iii0001-100i3−i300−2i2i-2200i−i−330000000000−i3i3−i3i3001-1i3−i3i−i−330000000003−300000
χ532-2-222-12−2i2i1-2-2-12-2-221-12-111-2-12-2-111−2i2i−2i2ii−i−2i−2i2i2i2i−2i00-220000-1-111i−ii−iii−i−i0001-100−i3i3002i−2i-2200−ii−330000000000i3−i3i3−i3001-1−i3i3−ii−330000000003−300000
χ542-2-222-12−2i2i1-2-2-12-2-221-12-111-2-12-2-111−2i2i−2i2ii−i−2i−2i2i2i2i−2i00-220000-1-111i−ii−iii−i−i0001-100i3−i3002i−2i-2200−ii3−30000000000−i3i3−i3i3001-1i3−i3−ii3−3000000000−3300000
χ552-2-222-12−2i2i1-2-2-12-2-221-12-111-2-12-2-111−2i2i−2i2ii−i−2i−2i2i2i−2i2i002-20000-1-111i−ii−iii−i−i000-1100−i3i300−2i2i2-200i−i−330000000000−i3i3−i3i300-11−i3i3i−i−33000000000−3300000
χ562-2-222-12−2i2i1-2-2-12-2-221-12-111-2-12-2-111−2i2i−2i2ii−i−2i−2i2i2i−2i2i002-20000-1-111i−ii−iii−i−i000-1100i3−i300−2i2i2-200i−i3−30000000000i3−i3i3−i300-11i3−i3i−i3−30000000003−300000
χ572-2-22-1222i−2i-21-222-21-1-2-1-121-21-1-1121-22i−2i−ii2i−2i−i−iii2i−2i002-23−33−3-1-111−ii2i−2i−i−iii0002-2000000−ii-11−i3i32i−2i003−33−3−i3−i3i3i300000000-1100−ii00000003−3−i3i30000000
χ582-2-22-1222i−2i-21-222-21-1-2-1-121-21-1-1121-22i−2i−ii2i−2i−i−iii2i−2i002-2−33−33-1-111−ii2i−2i−i−iii0002-2000000−ii-11i3−i32i−2i00−33−33i3i3−i3−i300000000-1100−ii0000000−33i3−i30000000
χ592-2-22-1222i−2i-21-222-21-1-2-1-121-21-1-1121-22i−2i−ii2i−2i−i−iii−2i2i00-223−33−3-1-111−ii2i−2i−i−iii000-22000000i−i1-1−i3i3−2i2i003−33−3−i3−i3i3i3000000001-100i−i0000000−33i3−i30000000
χ602-2-22-1222i−2i-21-222-21-1-2-1-121-21-1-1121-22i−2i−ii2i−2i−i−iii−2i2i00-22−33−33-1-111−ii2i−2i−i−iii000-22000000i−i1-1i3−i3−2i2i00−33−33i3i3−i3−i3000000001-100i−i00000003−3−i3i30000000
χ612-2-22-122−2i2i-21-222-21-1-2-1-121-21-1-1121-2−2i2ii−i−2i2iii−i−i2i−2i00-223−33−3-1-111i−i−2i2iii−i−i000-22000000−ii1-1i3−i32i−2i003−33−3i3i3−i3−i3000000001-100−ii0000000−33−i3i30000000
χ622-2-22-122−2i2i-21-222-21-1-2-1-121-21-1-1121-2−2i2ii−i−2i2iii−i−i2i−2i00-22−33−33-1-111i−i−2i2iii−i−i000-22000000−ii1-1−i3i32i−2i00−33−33−i3−i3i3i3000000001-100−ii00000003−3i3−i30000000
χ632-2-22-122−2i2i-21-222-21-1-2-1-121-21-1-1121-2−2i2ii−i−2i2iii−i−i−2i2i002-23−33−3-1-111i−i−2i2iii−i−i0002-2000000i−i-11i3−i3−2i2i003−33−3i3i3−i3−i300000000-1100i−i00000003−3i3−i30000000
χ642-2-22-122−2i2i-21-222-21-1-2-1-121-21-1-1121-2−2i2ii−i−2i2iii−i−i−2i2i002-2−33−33-1-111i−i−2i2iii−i−i0002-2000000i−i-11−i3i3−2i2i00−33−33−i3−i3i3i300000000-1100i−i0000000−33−i3i30000000
χ6544444-2-244-24-2-2-2-244-2-2-21-21-2-2-2-21-21-2-244-2-2-2-2-2-200000000001111-2-21111114040000-2-20000000000-2-200000000000000-2-2001100110000000000000000
χ6644444-2-244-24-2-2-2-244-2-2-21-21-2-2-2-21-21-2-244-2-2-2-2-2-200000000001111-2-2111111-40-4000022000000000022000000000000002200-1-100-1-10000000000000000
χ6744444-2-2-4-4-24-2-2-2-244-2-2-21-21-2-2-2-21-2122-4-42222220000000000111122-1-1-1-1-1-140-40000220000000000-2-200000000000000-2200-1-100110000000000000000
χ6844444-2-2-4-4-24-2-2-2-244-2-2-21-21-2-2-2-21-2122-4-42222220000000000111122-1-1-1-1-1-1-4040000-2-2000000000022000000000000002-2001100-1-10000000000000000
χ694444-24-2444-2-24-2-2-2-24-21-2-2-21-211-2-2-2-2-2-2-2441111004400-2-2-2-21111-2-2-2-2111104000-2-200-2-20000-2-200001111111100000000000000000000000000000000
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χ914-44-44-2400-24-42-44-4-42-24-2-2-2-42-4422200000000000000000000-22-220000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
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χ1004-4-444-2-24i−4i2-42-2-22-442-2-212-12-2-2212-1−2i2i4i−4i−2i2i−2i−2i2i2i000000000011-1-1−2i2ii−iii−i−i0000000−2i32i3000000000023−23000000000000000000i3−i300−330000000000000000
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χ1094-4-44-2-244i−4i22-4-24-42-221-2-2-1221-22-2-124i−4i−2i2i−2i2i−2i−2i2i2i−4i4i00-44000011-1-1i−i−2i2iii−i−i0002-20000002i−2i2-2002i−2i000000000000000000-1100−ii000000000000000000
χ1104-4-44-2-24−4i4i22-4-24-42-221-2-2-1221-22-2-12−4i4i2i−2i2i−2i2i2i−2i−2i4i−4i00-44000011-1-1−ii2i−2i−i−iii0002-2000000−2i2i2-200−2i2i000000000000000000-1100i−i000000000000000000
χ1114-4-44-2-24−4i4i22-4-24-42-221-2-2-1221-22-2-12−4i4i2i−2i2i−2i2i2i−2i−2i−4i4i004-4000011-1-1−ii2i−2i−i−iii000-220000002i−2i-22002i−2i0000000000000000001-100−ii000000000000000000
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χ1138888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ11488-8-88-4-4004-8-44448-8-4-4-424-2-4444-2-42000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-8-4-4-40044-4444-44-4222-2-22-2-2-2-222000000-66-660000000000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000
χ1188-88-88-4-400-48444-4-8-84-4-42-42444-4-24-2000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1228-8-88-4-4-48i−8i444-4-444-44222-2-2-222-22-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4−8i8i444-4-444-44222-2-2-222-22-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000

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