Finite Group Databasebeta

← Group #13168335

Character table — Group #13168335

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order122233344666666666121212124444333666666666121212121212121212121212224444666612121212121212121212121212121212366612121212121244666666121212121212121212121212121212121212121244441212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ91111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-11-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-11-1-111-11-11
χ111111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111111-111-1-11-1-1111-1-1-11-11
χ121111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-111-1-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-1-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1111-1-1-111-1
χ151111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-11-111-1-1-11-11-1-111-111-1
χ161111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-11-1-1111-11-111-1-11-1-11
χ17222222-12222-122-1-122-1-1-1-122222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10022-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ18222222-12222-122-1-122-1-1-1-122222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-2111122221111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-211110000-2-222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000
χ19222222-12222-122-1-122-1-1-1-1-2-2-2-22-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-222-1-1-1-1-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-10022-1-1-1-1000022-2-211111111-1-1-1-1-2-2-2-211111111000000000000000000
χ20222222-12222-122-1-122-1-1-1-1-2-2-2-22-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-2111111111111-1-1-1-122-1-1-1-100-2-211110000-2-2-2-21111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ21222222-1-2-222-122-1-122111122222-1-122-1-1-1-1-1-12-2-2-2-21111111122-2-2-2-2-1-1-1-122221111-1-1-1-11111-1-1-1-1-2-211110022-1-1-1-10000-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000000000
χ22222222-1-2-222-122-1-122111122222-1-122-1-1-1-1-1-12-2-2-2-211111111-2-2-2-22211112222-1-1-1-1-1-1-1-11111-1-1-1-1-2-2111100-2-21111000022-2-2-1-1-1-11111-1-1-1-1-2-2221111-1-1-1-1000000000000000000
χ23222222-1-2-222-122-1-1221111-2-2-2-22-1-122-1-1-1-1-1-12-2-2-2-2111111112222-2-2-1-1-1-1-2-2-2-211111111-1-1-1-1-1-1-1-1-2-211110022-1-1-1-10000-2-2221111-1-1-1-11111-2-2221111-1-1-1-1000000000000000000
χ24222222-1-2-222-122-1-1221111-2-2-2-22-1-122-1-1-1-1-1-12-2-2-2-211111111-2-222221111-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111100-2-21111000022221111-1-1-1-1-1-1-1-122-2-2-1-1-1-11111000000000000000000
χ2522222-1222-1222-122-1222220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122002222220000222200000000-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-10000000000-1-1-1-1000000000000-1-1-1-1-1-100220000-1-100
χ2622222-1222-1222-122-1222220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122002222220000222200000000-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2-1-10000000000-1-1-1-100000000000011111100-2-200001100
χ2722222-1222-1222-122-1222220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-200-2-2-2-2-2-20000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-12211111122221100000000001111000000000000-1-1-1-1-1-100-2-200001100
χ2822222-1222-1222-122-1222220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-200-2-2-2-2-2-20000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2-2-2110000000000111100000000000011111100220000-1-100
χ2922222-12-2-2-1222-122-12-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112200-2-222220000-2-2-2-200000000-1-1-1-11111112-2-1-1-1-1-1-122-2-21100000000001111000000000000-11-1-111002-20000-1100
χ3022222-12-2-2-1222-122-12-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112200-2-222220000-2-2-2-200000000-1-1-1-1111111-22-1-1-1-1-1-1-2-22211000000000011110000000000001-111-1-100-2200001-100
χ3122222-12-2-2-1222-122-12-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-20022-2-2-2-20000222200000000-1-1-1-11111112-211111122-2-2-1-10000000000-1-1-1-1000000000000-11-1-11100-2200001-100
χ3222222-12-2-2-1222-122-12-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-20022-2-2-2-20000222200000000-1-1-1-1111111-22111111-2-222-1-10000000000-1-1-1-10000000000001-111-1-1002-20000-1100
χ332222-122222-12-12222-122222222-1-12-1-122-1-1-12-1-1-122-1-1-1-122220022000000-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-122000000-1-1-1-100-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-12200-1-1-1-10000
χ342222-122222-12-12222-122222222-1-12-1-122-1-1-12-1-1-122-1-1-1-122220022000000-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-2-2000000111100-1-1-1-1-1-1-1-1-1-10000000000000000-2-21111-2-20011110000
χ352222-122222-12-12222-12222-2-2-2-2-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-200000011110000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1001111111111000000000000000022-1-1-1-1-2-20011110000
χ362222-122222-12-12222-12222-2-2-2-2-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-200000011110000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-200000011110011111111110000000000000000-2-211112200-1-1-1-10000
χ372222-122-2-22-12-12222-1-2-2-2-22222-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-2000000-1-1-1-100002222-2-2-2-2-1-1-1-11111112-2000000-1-1110011-1-1-1-1111100000000000000002-2-1-1112-200-1-1110000
χ382222-122-2-22-12-12222-1-2-2-2-22222-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-2000000-1-1-1-100002222-2-2-2-2-1-1-1-1111111-2200000011-1-10011-1-1-1-111110000000000000000-2211-1-1-220011-1-10000
χ392222-122-2-22-12-12222-1-2-2-2-2-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-2002200000011110000-2-2-2-22222-1-1-1-11111112-2000000-1-11100-1-11111-1-1-1-100000000000000002-2-1-111-220011-1-10000
χ402222-122-2-22-12-12222-1-2-2-2-2-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-2002200000011110000-2-2-2-22222-1-1-1-1111111-2200000011-1-100-1-11111-1-1-1-10000000000000000-2211-1-12-200-1-1110000
χ4122-2-22220022-2-2-22-2-2-2000022-2-22222-22-2-22-2-2-20000000000002-2000022-2-222-2-2000022-2-2000022-2-2000000002-222-2-20000000022-2-2000000002-20022-2-20000000000000000000000
χ4222-2-22220022-2-2-22-2-2-2000022-2-22222-22-2-22-2-2-2000000000000-220000-2-22222-2-2000022-2-2000022-2-200000000-22-2-2220000000022-2-200000000-2200-2-2220000000000000000000000
χ4322-2-22220022-2-2-22-2-2-20000-2-2222222-22-2-22-2-2-20000000000002-2000022-2-2-2-2220000-2-222000022-2-2000000002-222-2-200000000-2-22200000000-2200-2-2220000000000000000000000
χ4422-2-22220022-2-2-22-2-2-20000-2-2222222-22-2-22-2-2-2000000000000-220000-2-222-2-2220000-2-222000022-2-200000000-22-2-22200000000-2-222000000002-20022-2-20000000000000000000000
χ4522-2-222-100221-2-2-11-2-233−3−322-2-22-1-12-2-111-111-2000033−3−333−3−32-20000-1-11122-2-233−3−3-1-11133−3−3-1-1110033−3−3002-2-1-11100000000-1-11133−3−333−3−32-200-1-11133−3−3000000000000000000
χ4622-2-222-100221-2-2-11-2-233−3−322-2-22-1-12-2-111-111-2000033−3−333−3−3-22000011-1-122-2-2−3−333-1-11133−3−3-1-1110033−3−300-2211-1-100000000-1-11133−3−3−3−333-220011-1-1−3−333000000000000000000
χ4722-2-222-100221-2-2-11-2-233−3−3-2-2222-1-12-2-111-111-2000033−3−333−3−32-20000-1-111-2-22233−3−311-1-1−3−333-1-1110033−3−3002-2-1-1110000000011-1-1−3−33333−3−3-220011-1-1−3−333000000000000000000
χ4822-2-222-100221-2-2-11-2-233−3−3-2-2222-1-12-2-111-111-2000033−3−333−3−3-22000011-1-1-2-222−3−33311-1-1−3−333-1-1110033−3−300-2211-1-10000000011-1-1−3−333−3−3332-200-1-11133−3−3000000000000000000
χ4922-2-222-100221-2-2-11-2-2−3−33322-2-22-1-12-2-111-111-20000−3−333−3−3332-20000-1-11122-2-2−3−333-1-111−3−333-1-11100−3−333002-2-1-11100000000-1-111−3−333−3−3332-200-1-111−3−333000000000000000000
χ5022-2-222-100221-2-2-11-2-2−3−33322-2-22-1-12-2-111-111-20000−3−333−3−333-22000011-1-122-2-233−3−3-1-111−3−333-1-11100−3−33300-2211-1-100000000-1-111−3−33333−3−3-220011-1-133−3−3000000000000000000
χ5122-2-222-100221-2-2-11-2-2−3−333-2-2222-1-12-2-111-111-20000−3−333−3−3332-20000-1-111-2-222−3−33311-1-133−3−3-1-11100−3−333002-2-1-1110000000011-1-133−3−3−3−333-220011-1-133−3−3000000000000000000
χ5222-2-222-100221-2-2-11-2-2−3−333-2-2222-1-12-2-111-111-20000−3−333−3−333-22000011-1-1-2-22233−3−311-1-133−3−3-1-11100−3−33300-2211-1-10000000011-1-133−3−333−3−32-200-1-111−3−333000000000000000000
χ532-22-222200-2-2-2-2-2-222200002i−2i2i−2i222-22-22-2-22-2-200000000000000002i−2i00002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00002-22-20000000000000000002i−2i002i−2i2i−2i00002i−2i2i−2i002-200002-22-2000000000000000000
χ542-22-222200-2-2-2-2-2-222200002i−2i2i−2i222-22-22-2-22-2-20000000000000000−2i2i00002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00002-22-2000000000000000000−2i2i002i−2i2i−2i0000−2i2i−2i2i00-220000-22-22000000000000000000
χ552-22-222200-2-2-2-2-2-22220000−2i2i−2i2i222-22-22-2-22-2-200000000000000002i−2i0000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00002-22-20000000000000000002i−2i00−2i2i−2i2i00002i−2i2i−2i00-220000-22-22000000000000000000
χ562-22-222200-2-2-2-2-2-22220000−2i2i−2i2i222-22-22-2-22-2-20000000000000000−2i2i0000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00002-22-2000000000000000000−2i2i00−2i2i−2i2i0000−2i2i−2i2i002-200002-22-2000000000000000000
χ572-22-222-100-2-21-2-21-1223−33−32i−2i2i−2i2-1-1-221-111-11-200003−33−33−33−300002i−2i−i3i3−i3i32i−2i2i−2i−ii−ii−ii−ii−i3i3−i3i3-11-11003−33−30000−i3i3−i3i300002i−2i00−ii−ii−i3i3−i3i3−ii−ii002-23−33−3-11-11000000000000000000
χ582-22-222-100-2-21-2-21-1223−33−32i−2i2i−2i2-1-1-221-111-11-200003−33−33−33−30000−2i2ii3−i3i3−i32i−2i2i−2ii−ii−i−ii−ii−i3i3−i3i3-11-11003−33−30000i3−i3i3−i30000−2i2i00−ii−ii−i3i3−i3i3i−ii−i00-22−33−331-11-1000000000000000000
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χ1284-4-44-24-24-4-42-2-2422-42-222-2−4i4i4i−4i-21-222221-1-1-2-2-224-41-1-11-222-200−4i4i0000002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i1-1-11-221-1-11000000000000002i−2i−iii−ii−i−ii0000000000000000000000000000000000
χ1294-4-44-24-2-44-42-2-2422-422-2-224i−4i−4i4i-21-222221-1-1-2-22-2-44-111-12-2-2200−4i4i000000−2i2i2i−2i0000−2i2i2i−2i−2i2i2i−2i1-1-112-2-111-1000000000000002i−2ii−i−iii−i−ii0000000000000000000000000000000000
χ1304-4-44-24-2-44-42-2-2422-422-2-22−4i4i4i−4i-21-222221-1-1-2-22-2-44-111-12-2-22004i−4i0000002i−2i−2i2i00002i−2i−2i2i2i−2i−2i2i1-1-112-2-111-100000000000000−2i2i−iii−i−iii−i0000000000000000000000000000000000
χ1314-4-44-2-244-4224-2-2-4-4224-4-4400001-2-2-1-122-222-21-22-22-222-2-222-2000000000000000000000000001-1-111-11-1-1100000000−2i32i3−2i32i3000000000000000000000000000000i3−i3i3−i3000000000000
χ1324-4-44-2-244-4224-2-2-4-4224-4-4400001-2-2-1-122-222-21-22-22-222-2-222-2000000000000000000000000001-1-111-11-1-11000000002i3−2i32i3−2i3000000000000000000000000000000−i3i3−i3i3000000000000
χ1334-4-44-2-24-44224-2-2-4-422-444-400001-2-2-1-122-222-212-22-22-2-222-2-22000000000000000000000000001-1-11-11-111-100000000−2i32i32i3−2i3000000000000000000000000000000i3−i3−i3i3000000000000
χ1344-4-44-2-24-44224-2-2-4-422-444-400001-2-2-1-122-222-212-22-22-2-222-2-22000000000000000000000000001-1-11-11-111-1000000002i3−2i3−2i32i3000000000000000000000000000000−i3i3i3−i3000000000000
χ1358888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-42222222200000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444400002222222222224444-2-2-2-2-2-2-2-200000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13788-8-8-4-4800-4-4-8448-844000000002-4-42-2-444-444-20000000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-400-4-4444-44444343−43−4300002222-22-2-22-2-2-20000−23−232323−23−23232300000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-4-400-4-4444-4444−43−43434300002222-22-2-22-2-2-200002323−23−232323−23−2300000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-480044-844-88-4-4000000002-4-4-224-444-44-2000000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-400444444-4-4-443−4343−430000222-22-22-2-22-2-20000−2323−2323−2323−232300000000000000000000000000-11-11003−33−30000000000000000000000000000000000000000000000000000000000
χ1428-88-8-4-4-400444444-4-4-4−4343−43430000222-22-22-2-22-2-2000023−2323−2323−2323−2300000000000000000000000000-11-1100−33−330000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-48-844-4-4-44444-444-40000222-2-2-2-22-2-222-44-442-2-222-2-2200000000000000000000000000-111-12-2-111-10000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4-8844-4-4-444444-4-440000222-2-2-2-22-2-2224-44-4-222-2-222-200000000000000000000000000-111-1-221-1-110000000000000000000000000000000000000000000000000000000000

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