Finite Group Databasebeta

← Group #13168339

Character table — Group #13168339

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order122233344666666666121212124444333666666666121212121212121212121212224444666612121212121212121212121212121212366612121212121244666666121212121212121212121212121212121212121244441212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
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
χ91111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-11-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-11-1-111-11-11
χ111111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111111-111-1-11-1-1111-1-1-11-11
χ121111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-111-1-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-1-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1111-1-1-111-1
χ151111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-11111-1-1-1-11-111-1-1-11-11-1-111-111-1
χ161111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-11-1-1111-11-111-1-11-1-11
χ17222222-12222-122-1-122-1-1-1-122222-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10022-1-1-1-122000022-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ18222222-12222-122-1-122-1-1-1-122222-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-222111122221111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-21111220000-2-2-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000
χ19222222-12222-122-1-122-1-1-1-1-2-2-2-22-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-10022-1-1-1-1-2-200002211111111-1-1-1-1-2-2-2-211111111000000000000000000
χ20222222-12222-122-1-122-1-1-1-1-2-2-2-22-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-2111111111111-1-1-1-122-1-1-1-100-2-21111-2-20000-2-21111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ21222222-1-2-222-122-1-122111122222-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-2-2-2-1-1-1-122221111-1-1-1-11111-1-1-1-1-2-211110022-1-1-1-1-2-20000-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000000000
χ22222222-1-2-222-122-1-122111122222-1-12-1-12-1-1-1-12-2-2-2-211111111-2-222-2-211112222-1-1-1-1-1-1-1-11111-1-1-1-1-2-2111100-2-21111-2-2000022-1-1-1-11111-1-1-1-1-2-2221111-1-1-1-1000000000000000000
χ23222222-1-2-222-122-1-1221111-2-2-2-22-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-222-1-1-1-1-2-2-2-211111111-1-1-1-1-1-1-1-1-2-211110022-1-1-1-1220000-2-21111-1-1-1-11111-2-2221111-1-1-1-1000000000000000000
χ24222222-1-2-222-122-1-1221111-2-2-2-22-1-12-1-12-1-1-1-12-2-2-2-211111111-2-222221111-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111100-2-21111220000221111-1-1-1-1-1-1-1-122-2-2-1-1-1-11111000000000000000000
χ2522222-1222-122-12222-122220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122220022220000222200000000-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1002222-1-100000000-1-1-1-1000000000000-1-1-1-1-1-100220000-1-100
χ2622222-1222-122-12222-122220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122220022220000222200000000-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-100-2-2-2-2-1-100000000-1-1-1-100000000000011111100-2-200001100
χ2722222-1222-122-12222-122220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2-2-200-2-2-2-20000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-12211111100222211000000001111000000000000-1-1-1-1-1-100-2-200001100
χ2822222-1222-122-12222-122220000-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2-2-200-2-2-2-20000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-2-211111100-2-2-2-21100000000111100000000000011111100220000-1-100
χ2922222-12-2-2-122-12222-1-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122-2-20022220000-2-2-2-200000000-1-1-1-11111112-2-1-1-1-1-1-10022-2-211000000001111000000000000-11-1-111002-20000-1100
χ3022222-12-2-2-122-12222-1-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122-2-20022220000-2-2-2-200000000-1-1-1-1111111-22-1-1-1-1-1-100-2-222110000000011110000000000001-111-1-100-2200001-100
χ3122222-12-2-2-122-12222-1-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-22200-2-2-2-20000222200000000-1-1-1-11111112-21111110022-2-2-1-100000000-1-1-1-1000000000000-11-1-11100-2200001-100
χ3222222-12-2-2-122-12222-1-2-2-2-20000-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-22200-2-2-2-20000222200000000-1-1-1-1111111-2211111100-2-222-1-100000000-1-1-1-10000000000001-111-1-1002-20000-1100
χ332222-122222-122-122-1222222222-1-12-122-1-1-1-12-1-1-122-1-1-1-122220000220000-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1-1-100-1-1-1-1-1-1-1-1000000000000000022-1-1-1-12200-1-1-1-10000
χ342222-122222-122-122-1222222222-1-12-122-1-1-1-12-1-1-122-1-1-1-122220000220000-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-2-2000000-1-1111100-1-1-1-1-1-1-1-10000000000000000-2-21111-2-20011110000
χ352222-122222-122-122-122222-2-2-2-2-1-12-122-1-1-1-12-1-1-122-1-1-1-122220000-2-2000011110000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-12200000011-1-1-1-10011111111000000000000000022-1-1-1-1-2-20011110000
χ362222-122222-122-122-122222-2-2-2-2-1-12-122-1-1-1-12-1-1-122-1-1-1-122220000-2-2000011110000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-200000011111100111111110000000000000000-2-211112200-1-1-1-10000
χ372222-122-2-22-122-122-12-2-2-2-22222-1-12-122-1-1-1-12-111-2-21111-2-2-2-20000-2-20000-1-1-1-100002222-2-2-2-2-1-1-1-11111112-200000011-1-11100-1-1-1-1111100000000000000002-2-1-1112-200-1-1110000
χ382222-122-2-22-122-122-12-2-2-2-22222-1-12-122-1-1-1-12-111-2-21111-2-2-2-20000-2-20000-1-1-1-100002222-2-2-2-2-1-1-1-1111111-220000001111-1-100-1-1-1-111110000000000000000-2211-1-1-220011-1-10000
χ392222-122-2-22-122-122-12-2-2-2-2-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-2000022000011110000-2-2-2-22222-1-1-1-11111112-2000000-1-1-1-111001111-1-1-1-100000000000000002-2-1-111-220011-1-10000
χ402222-122-2-22-122-122-12-2-2-2-2-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-2000022000011110000-2-2-2-22222-1-1-1-1111111-22000000-1-111-1-1001111-1-1-1-10000000000000000-2211-1-12-200-1-1110000
χ4122-2-22220022-2-2-22-2-2-2000022-2-222222-2-2-22-2-2-20000000000002-2000022-2-222-2-2000022-2-2000022-2-2000000002-222-2-20000000022-2-2000000002-20022-2-20000000000000000000000
χ4222-2-22220022-2-2-22-2-2-2000022-2-222222-2-2-22-2-2-2000000000000-220000-2-22222-2-2000022-2-2000022-2-200000000-22-2-2220000000022-2-200000000-2200-2-2220000000000000000000000
χ4322-2-22220022-2-2-22-2-2-20000-2-22222222-2-2-22-2-2-20000000000002-2000022-2-2-2-2220000-2-222000022-2-2000000002-222-2-200000000-2-22200000000-2200-2-2220000000000000000000000
χ4422-2-22220022-2-2-22-2-2-20000-2-22222222-2-2-22-2-2-2000000000000-220000-2-222-2-2220000-2-222000022-2-200000000-22-2-22200000000-2-222000000002-20022-2-20000000000000000000000
χ4522-2-222-100221-2-2-11-2-233−3−322-2-22-1-12-11-21-111-2000033−3−333−3−32-20000-1-11122-2-233−3−3-1-11133−3−3-1-1110033−3−3002-2-1-11100000000-1-11133−3−333−3−32-200-1-11133−3−3000000000000000000
χ4622-2-222-100221-2-2-11-2-233−3−322-2-22-1-12-11-21-111-2000033−3−333−3−3-22000011-1-122-2-2−3−333-1-11133−3−3-1-1110033−3−300-2211-1-100000000-1-11133−3−3−3−333-220011-1-1−3−333000000000000000000
χ4722-2-222-100221-2-2-11-2-233−3−3-2-2222-1-12-11-21-111-2000033−3−333−3−32-20000-1-111-2-22233−3−311-1-1−3−333-1-1110033−3−3002-2-1-1110000000011-1-1−3−33333−3−3-220011-1-1−3−333000000000000000000
χ4822-2-222-100221-2-2-11-2-233−3−3-2-2222-1-12-11-21-111-2000033−3−333−3−3-22000011-1-1-2-222−3−33311-1-1−3−333-1-1110033−3−300-2211-1-10000000011-1-1−3−333−3−3332-200-1-11133−3−3000000000000000000
χ4922-2-222-100221-2-2-11-2-2−3−33322-2-22-1-12-11-21-111-20000−3−333−3−3332-20000-1-11122-2-2−3−333-1-111−3−333-1-11100−3−333002-2-1-11100000000-1-111−3−333−3−3332-200-1-111−3−333000000000000000000
χ5022-2-222-100221-2-2-11-2-2−3−33322-2-22-1-12-11-21-111-20000−3−333−3−333-22000011-1-122-2-233−3−3-1-111−3−333-1-11100−3−33300-2211-1-100000000-1-111−3−33333−3−3-220011-1-133−3−3000000000000000000
χ5122-2-222-100221-2-2-11-2-2−3−333-2-2222-1-12-11-21-111-20000−3−333−3−3332-20000-1-111-2-222−3−33311-1-133−3−3-1-11100−3−333002-2-1-1110000000011-1-133−3−3−3−333-220011-1-133−3−3000000000000000000
χ5222-2-222-100221-2-2-11-2-2−3−333-2-2222-1-12-11-21-111-20000−3−333−3−333-22000011-1-1-2-22233−3−311-1-133−3−3-1-11100−3−33300-2211-1-10000000011-1-133−3−333−3−32-200-1-111−3−333000000000000000000
χ532-22-22222-2-2-22-2-2-2-2222-22-22i−2i2i−2i222-2-2-222-2-22-22-22-22-22-22-22-200002i−2i00002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i2-2-222-22-22-2000000002i−2i0000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ542-22-22222-2-2-22-2-2-2-2222-22-2−2i2i−2i2i222-2-2-222-2-22-22-22-22-22-22-22-20000−2i2i0000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i2-2-222-22-22-200000000−2i2i000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ552-22-2222-22-2-22-2-2-2-222-22-222i−2i2i−2i222-2-2-222-2-22-2-22-22-22-22-22-220000−2i2i00002i−2i2i−2i00002i−2i2i−2i−2i2i−2i2i2-2-22-22-22-2200000000−2i2i0000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000
χ562-22-2222-22-2-22-2-2-2-222-22-22−2i2i−2i2i222-2-2-222-2-22-2-22-22-22-22-22-2200002i−2i0000−2i2i−2i2i0000−2i2i−2i2i2i−2i2i−2i2-2-22-22-22-22000000002i−2i000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000
χ572-22-222-12-2-2-2-1-2-21122-11-112i−2i2i−2i2-1-1-2112-111-1-22-22-2-11-11-11-1100002i−2i−i3i3−i3i32i−2i2i−2i−i3i3−i3i3−ii−ii−ii−ii-111-12-2-11-110000−i3i3−i3i32i−2i000000−ii−ii−ii−ii−i3i3−i3i300003−33−33−33−3000000000000000000
χ582-22-222-12-2-2-2-1-2-21122-11-112i−2i2i−2i2-1-1-2112-111-1-22-22-2-11-11-11-1100002i−2ii3−i3i3−i32i−2i2i−2ii3−i3i3−i3−ii−ii−ii−ii-111-12-2-11-110000i3−i3i3−i32i−2i000000−ii−ii−ii−iii3−i3i3−i30000−33−33−33−33000000000000000000
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χ1304-4-44-24400-42-44-2-442-40000−4i4i4i−4i-2-242-44222-2-4-200000000000000000000002i−2i−2i2i0000−4i4i4i−4i0000-22-2200000000000000000000002i−2i−2i2i00000000000000000000000000000000000000
χ1314-4-44-24-200-4224-22-22-423−23−23234i−4i−4i4i-21-222-22-1-112-20000−333−323−23−23230000000000−2i2i2i−2i0000−2i2i2i−2i2i3−2i3−2i32i31-11-100−333−30000000000000000i−i−ii−i3i3i3−i30000000000000000000000000000000000
χ1324-4-44-24-200-4224-22-22-423−23−2323−4i4i4i−4i-21-222-22-1-112-20000−333−323−23−232300000000002i−2i−2i2i00002i−2i−2i2i−2i32i32i3−2i31-11-100−333−30000000000000000−iii−ii3−i3−i3i30000000000000000000000000000000000
χ1334-4-44-24-200-4224-22-22-4−232323−234i−4i−4i4i-21-222-22-1-112-200003−3−33−232323−230000000000−2i2i2i−2i0000−2i2i2i−2i−2i32i32i3−2i31-11-1003−3−330000000000000000i−i−iii3−i3−i3i30000000000000000000000000000000000
χ1344-4-44-24-200-4224-22-22-4−232323−23−4i4i4i−4i-21-222-22-1-112-200003−3−33−232323−2300000000002i−2i−2i2i00002i−2i−2i2i2i3−2i3−2i32i31-11-1003−3−330000000000000000−iii−i−i3i3i3−i30000000000000000000000000000000000
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
χ13788-8-8-4-4800-4-4-8448-844000000002-4-42-44-24-444-20000000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-400-4-4444-44444343−43−43000022222-2-2-22-2-2-20000−23−232323−23−23232300000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-4-400-4-4444-4444−43−434343000022222-2-2-22-2-2-200002323−23−232323−23−2300000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-4-48-844-44444-4-4-44-440000222-2-2-222-2-22-2-44-442-22-22-22-200000000000000000000000000-111-12-2-11-110000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-4-8844-44444-4-44-44-40000222-2-2-222-2-22-24-44-4-22-22-22-2200000000000000000000000000-111-1-221-11-10000000000000000000000000000000000000000000000000000000000
χ1428-8-88-4-480044-8-4-4-8844000000002-4-4-24-4-244-442000000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-400444-4-44-44443−43−43430000222-2-22-2-2-22-220000−232323−23−232323−2300000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-400444-4-44-444−434343−430000222-2-22-2-2-22-22000023−23−232323−23−232300000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000

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