Finite Group Databasebeta

← Group #13172157

Character table — Group #13172157

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order12222233366666666666663336666666666666666666664444444412121212121212123666666666441212121212121212121212121212121212121212121212121212121212121212121212124412121212224446666121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111111-11111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-11-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-11-1-11-1-111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1
χ91111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11111-1-1-1-111-1-1-11
χ101111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11-11-1111-1-1-1-111-1-1111-1
χ111111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1111-1-1-11111-1-1-1-1111-1
χ121111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-1111111-1-1-11
χ131111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-111-1-1-1-1111111-1-11-1
χ141111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-1-11111-1-1-1-111-11
χ151111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1111-1-1-1-111-1-111-11
χ161111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-11111-1-1-1-111-1-11-1
χ1722222222-1222222-122-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-1220022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-122-1-100-1-10000222200000000-1-1-1-1-1-1-1-100-1-1-1-10200200-1-100-1-1000000
χ1822222222-1222222-122-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-12200-2-22200001111-1-1-1-1-1-1-1-1-1-10-222-1-122-1-100110000-2-2-2-2000000001111111100-1-1-1-10-200-200110011000000
χ1922222222-1222222-122-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-1-2-20022-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-102-2-211-2-21100-1-10000222200000000-1-1-1-1-1-1-1-10011110-200-200110011000000
χ2022222222-1222222-122-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-1-2-200-2-2-2-200001111-1-1-1-1-1-1-1-1-1-10-2-2-211-2-21100110000-2-2-2-200000000111111110011110200200-1-100-1-1000000
χ212222222-1222222-12-1-12222-12-1-1-122-1-122-1-1-1-1-12222-1-1-1222220022-1-1-1-10000-1-1-1-1-1-1-1-1-1-120-1-122-1-122-1-10022220000-1-1-1-1-1-1-1-10000000000-1-1-1-120020-1-100-1-100000000
χ222222222-1222222-12-1-12222-12-1-1-122-1-122-1-1-1-1-12222-1-1-1222-2-2002211110000-1-1-1-1-1-1-1-1-1-1-20-1-122-1-1221100-2-2-2-20000111111110000000000-1-1-1-1-200-2011001100000000
χ232222222-1222222-12-1-12222-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-22200-2-2-1-1-1-10000-1-1-1-1-1-1-1-1-1-12011-2-211-2-2-1-10022220000-1-1-1-1-1-1-1-100000000001111-200-2011001100000000
χ242222222-1222222-12-1-12222-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-2-2-200-2-211110000-1-1-1-1-1-1-1-1-1-1-2011-2-211-2-21100-2-2-2-20000111111110000000000111120020-1-100-1-100000000
χ25222222-122-1-1-1-1-1222222-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-10022220022222222-122-1-1-1-1-1-1-122000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000020000000000-1-1-1-100
χ26222222-122-1-1-1-1-1222222-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-10022-2-2002222-2-2-2-2-122-1-1-1-1-1-1-12-20000000022-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2000000-20000000000111100
χ27222222-122-1-1-1-1-1222222-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-100-2-22200-2-2-2-22222-122-1-1-1-1-1-1-1-2200000000-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2000000-20000000000111100
χ28222222-122-1-1-1-1-1222222-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-100-2-2-2-200-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-200000000-2-2-2-21111111111111111111111112200000020000000000-1-1-1-100
χ292222-2-222-12-2-2-2-22-122-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1220022-2-20000-1-1-1-1-111-1-1-111110-2-2-21122-1-10011000022-2-200000000-1-1-1-1111100-1-1110200-200-1-10011000000
χ302222-2-222-12-2-2-2-22-122-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-12200-2-2-2-200001111-111-1-1-1111102-2-21122-1-100-1-10000-2-222000000001111-1-1-1-100-1-1110-2002001100-1-1000000
χ312222-2-222-12-2-2-2-22-122-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1-2-20022220000-1-1-1-1-111-1-1-111110-222-1-1-2-2110011000022-2-200000000-1-1-1-111110011-1-10-2002001100-1-1000000
χ322222-2-222-12-2-2-2-22-122-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1-2-200-2-22200001111-111-1-1-111110222-1-1-2-21100-1-10000-2-222000000001111-1-1-1-10011-1-10200-200-1-10011000000
χ332222-2-22-122-2-2-2-2-12-1-12222-12-111-2-2-1-122-11111-2-2-2-2-1-1-12222200-2-2-1-1-1-10000-111-1-1-11111-2011-2-2-1-122110022-2-20000-1-1-1-111110000000000-1-111200-20-1-1001100000000
χ342222-2-22-122-2-2-2-2-12-1-12222-12-111-2-2-1-122-11111-2-2-2-2-1-1-1222-2-200-2-211110000-111-1-1-111112011-2-2-1-122-1-100-2-22200001111-1-1-1-10000000000-1-111-200201100-1-100000000
χ352222-2-22-122-2-2-2-2-12-1-12222-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-2220022-1-1-1-10000-111-1-1-11111-20-1-12211-2-2110022-2-20000-1-1-1-11111000000000011-1-1-200201100-1-100000000
χ362222-2-22-122-2-2-2-2-12-1-12222-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-2-2-2002211110000-111-1-1-1111120-1-12211-2-2-1-100-2-22200001111-1-1-1-1000000000011-1-1200-20-1-1001100000000
χ372222-2-2-122-11111222222-1-1-1-12-2-2-2-2-1-1-1-121111111122-1-10022220022222222-1-2-2-1-1-11111-2-200000000-2-2-2-2-1-111-1-111-1-1-1-11111-1-1-1-1111122000000-20000000000-1-11100
χ382222-2-2-122-11111222222-1-1-1-12-2-2-2-2-1-1-1-121111111122-1-10022-2-2002222-2-2-2-2-1-2-2-1-1-11111-2200000000-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-1-2-20000002000000000011-1-100
χ392222-2-2-122-11111222222-1-1-1-12-2-2-2-2-1-1-1-121111111122-1-100-2-22200-2-2-2-22222-1-2-2-1-1-111112-20000000022-2-211-1-1-1-1111111-1-1-1-1-1-1-1-11111-2-20000002000000000011-1-100
χ402222-2-2-122-11111222222-1-1-1-12-2-2-2-2-1-1-1-121111111122-1-100-2-2-2-200-2-2-2-2-2-2-2-2-1-2-2-1-1-111112200000000222211-1-111-1-11111-1-1-1-11111-1-1-1-122000000-20000000000-1-11100
χ412-22-200222-2000022-2-2-2-2-2222200002-22-2-2000000002-2-2-2002i−2i2i−2i002i2i−2i−2i2i2i−2i−2i2002-2-20000000000000000002i−2i002i−2i002i2i−2i−2i00002i2i−2i−2i00002-2000000000000000002-20000
χ422-22-200222-2000022-2-2-2-2-2222200002-22-2-2000000002-2-2-2002i−2i−2i2i002i2i−2i−2i−2i−2i2i2i2002-2-20000000000000000002i−2i00−2i2i002i2i−2i−2i0000−2i−2i2i2i0000-2200000000000000000-220000
χ432-22-200222-2000022-2-2-2-2-2222200002-22-2-2000000002-2-2-200−2i2i2i−2i00−2i−2i2i2i2i2i−2i−2i2002-2-2000000000000000000−2i2i002i−2i00−2i−2i2i2i00002i2i−2i−2i0000-2200000000000000000-220000
χ442-22-200222-2000022-2-2-2-2-2222200002-22-2-2000000002-2-2-200−2i2i−2i2i00−2i−2i2i2i−2i−2i2i2i2002-2-2000000000000000000−2i2i00−2i2i00−2i−2i2i2i0000−2i−2i2i2i00002-2000000000000000002-20000
χ452-22-200-1221−i3−i3i3i322-2-2-2-21-1-1-120000-11-11-2−i3−i3i3i3−i3−i3i3i32-211002i−2i2i−2i002i2i−2i−2i2i2i−2i−2i-100-111−i3−i3i3i300000000000000−ii3−3−ii3−3−i−iii33−3−3−i−iii33−3−32-200000000000000000-11−i3i300
χ462-22-200-1221−i3−i3i3i322-2-2-2-21-1-1-120000-11-11-2−i3−i3i3i3−i3−i3i3i32-211002i−2i−2i2i002i2i−2i−2i−2i−2i2i2i-100-111−i3−i3i3i300000000000000−ii3−3i−i−33−i−iii33−3−3ii−i−i−3−333-22000000000000000001-1i3−i300
χ472-22-200-1221−i3−i3i3i322-2-2-2-21-1-1-120000-11-11-2−i3−i3i3i3−i3−i3i3i32-21100−2i2i2i−2i00−2i−2i2i2i2i2i−2i−2i-100-111−i3−i3i3i300000000000000i−i−33−ii3−3ii−i−i−3−333−i−iii33−3−3-22000000000000000001-1i3−i300
χ482-22-200-1221−i3−i3i3i322-2-2-2-21-1-1-120000-11-11-2−i3−i3i3i3−i3−i3i3i32-21100−2i2i−2i2i00−2i−2i2i2i−2i−2i2i2i-100-111−i3−i3i3i300000000000000i−i−33i−i−33ii−i−i−3−333ii−i−i−3−3332-200000000000000000-11−i3i300
χ492-22-200-1221i3i3−i3−i322-2-2-2-21-1-1-120000-11-11-2i3i3−i3−i3i3i3−i3−i32-211002i−2i2i−2i002i2i−2i−2i2i2i−2i−2i-100-111i3i3−i3−i300000000000000−ii−33−ii−33−i−iii−3−333−i−iii−3−3332-200000000000000000-11i3−i300
χ502-22-200-1221i3i3−i3−i322-2-2-2-21-1-1-120000-11-11-2i3i3−i3−i3i3i3−i3−i32-211002i−2i−2i2i002i2i−2i−2i−2i−2i2i2i-100-111i3i3−i3−i300000000000000−ii−33i−i3−3−i−iii−3−333ii−i−i33−3−3-22000000000000000001-1−i3i300
χ512-22-200-1221i3i3−i3−i322-2-2-2-21-1-1-120000-11-11-2i3i3−i3−i3i3i3−i3−i32-21100−2i2i2i−2i00−2i−2i2i2i2i2i−2i−2i-100-111i3i3−i3−i300000000000000i−i3−3−ii−33ii−i−i33−3−3−i−iii−3−333-22000000000000000001-1−i3i300
χ522-22-200-1221i3i3−i3−i322-2-2-2-21-1-1-120000-11-11-2i3i3−i3−i3i3i3−i3−i32-21100−2i2i−2i2i00−2i−2i2i2i−2i−2i2i2i-100-111i3i3−i3−i300000000000000i−i3−3i−i3−3ii−i−i33−3−3ii−i−i33−3−32-200000000000000000-11i3−i300
χ532-2-222-222222-22-2-2-22-22-2-2-22222-22-2-22-2222-22-22-22-2-2-2-2-22i−2i00002i−2i0000000022-2-22-22-22-2002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000002i−2i2i−2i0000000000000000000
χ542-2-222-222222-22-2-2-22-22-2-2-22222-22-2-22-2222-22-22-22-2-2-2-2-2−2i2i0000−2i2i0000000022-2-22-22-22-200−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000−2i2i−2i2i0000000000000000000
χ552-2-222-222-122-22-2-212-2-11-2-22-1-12-2-11-221-1-12-22-2-11-1111-212i−2i00002i−2i00003−33−3-1-111-11-11-11002i−2i−ii2i−2i−ii003−300000000000000003−33−33−33−300−ii−ii0000000−i3i300−i3i3000000
χ562-2-222-222-122-22-2-212-2-11-2-22-1-12-2-11-221-1-12-22-2-11-1111-212i−2i00002i−2i0000−33−33-1-111-11-11-11002i−2i−ii2i−2i−ii00−330000000000000000−33−33−33−3300−ii−ii0000000i3−i300i3−i3000000
χ572-2-222-222-122-22-2-212-2-11-2-22-1-12-2-11-221-1-12-22-2-11-1111-21−2i2i0000−2i2i00003−33−3-1-111-11-11-1100−2i2ii−i−2i2ii−i003−300000000000000003−33−33−33−300i−ii−i0000000i3−i300i3−i3000000
χ582-2-222-222-122-22-2-212-2-11-2-22-1-12-2-11-221-1-12-22-2-11-1111-21−2i2i0000−2i2i0000−33−33-1-111-11-11-1100−2i2ii−i−2i2ii−i00−330000000000000000−33−33−33−3300i−ii−i0000000−i3i300−i3i3000000
χ592-2-222-22-1222-22-21-2-112-2-2-2-12-1-112-21-1-22-1-11-112-22-2111-22i−2i00002i−2i3−33−30000-1-111-11-11-1100−ii2i−2i−ii2i−2i3−300000000003−33−33−33−30000000000−ii−ii00000−i3i300−i3i300000000
χ602-2-222-22-1222-22-21-2-112-2-2-2-12-1-112-21-1-22-1-11-112-22-2111-22i−2i00002i−2i−33−330000-1-111-11-11-1100−ii2i−2i−ii2i−2i−330000000000−33−33−33−330000000000−ii−ii00000i3−i300i3−i300000000
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χ1144-4-444-4-244-2-22-22-4-44-44-422-2-244-44-42-22-24-22-22-22-22-4-4220000000000000000-24-42-22-22-22000000000000000000000000000000000000000000000000000000000000000
χ1154-4-444-4-24-2-2-22-22-424-4-2222-21-24-4-222-2-11-2-22-221-11-1222-100000000000023−2323−231-22-11-11-11-100000000000023−230000000000000000−33−33−33−330000000000000000000000000
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χ12988-8-800-4-4-44−4i34i34i3−4i3444-44-4-442220000-2-2-2-2-22i3−2i3−2i32i32i3−2i3−2i32i3-22220000000000000000-10011-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000000000
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χ1328-88-800-4-4-44−4i3−4i34i34i3-4-444444-422200002-22-2-22i32i3−2i3−2i32i32i3−2i3−2i32-2-2-20000000000000000-100-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).