Finite Group Databasebeta

← Group #13168351

Character table — Group #13168351

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order122233344666666666121212124444333666666666121212121212121212121212444444121212121212121212121212121212121212121236661212121212124412121212121212121212121212121212121212121212121212122244666612121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
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
χ91111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-11-1-111-11-11
χ111111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-111-1-1-111-111-1-1-11-11
χ121111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-1111-1-11-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-111-1-11-1-11-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-111-111-1-1-111-1
χ151111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-111-1-1-11-11-1-111-111-1
χ161111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-1-1111-11-111-1-11-1-11
χ17222222-122222-1-12-122-1-1-1-122222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1002222000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ18222222-122222-1-12-122-1-1-1-122222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-22222-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-100-2-2220000-2-2-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000
χ19222222-122222-1-12-122-1-1-1-1-2-2-2-22-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10022-2-200002211111111-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000000
χ20222222-122222-1-12-122-1-1-1-1-2-2-2-22-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-100-2-2-2-20000-2-211111111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ21222222-1-2-2222-1-12-122111122222-1-122-1-1-1-1-1-12-2-2-2-21111111122-2-2-2-22222-1-1-1-11111-1-1-1-11111-1-1-1-1-2-211110022-2-20000-2-2-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-11111000000000000000000
χ22222222-1-2-2222-1-12-122111122222-1-122-1-1-1-1-1-12-2-2-2-211111111-2-2-2-2222222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2111100-2-2-2-2000022-1-1-1-111111111-1-1-1-1-2-2221111-1-1-1-1000000000000000000
χ23222222-1-2-2222-1-12-1221111-2-2-2-22-1-122-1-1-1-1-1-12-2-2-2-2111111112222-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1-2-211110022220000-2-21111-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-1000000000000000000
χ24222222-1-2-2222-1-12-1221111-2-2-2-22-1-122-1-1-1-1-1-12-2-2-2-211111111-2-22222-2-2-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111100-2-2220000221111-1-1-1-11111-1-1-1-122-2-2-1-1-1-11111000000000000000000
χ2522222-122222-122-12-1222222222-12-1-1-12-122-1-1-122-1-12222-1-1-1-1002200-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-12200-1-1-1-1-1-100-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-10022-1-1-1-10000
χ2622222-122222-122-12-1222222222-12-1-1-12-122-1-1-122-1-12222-1-1-1-1002200-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-2-200-1-1111100-1-1-1-1-1-1-1-100000000000000000000-2-2111100-2-211110000
χ2722222-122222-122-12-122222-2-2-2-2-12-1-1-12-122-1-1-122-1-12222-1-1-1-100-2-2001111-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1220011-1-1-1-100111111110000000000000000000022-1-1-1-100-2-211110000
χ2822222-122222-122-12-122222-2-2-2-2-12-1-1-12-122-1-1-122-1-12222-1-1-1-100-2-2001111-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-2-200111111001111111100000000000000000000-2-211110022-1-1-1-10000
χ2922222-12-2-222-122-12-12-2-2-2-22222-12-1-1-12-122-1-1-1-2-211-2-2-2-2111100-2-200-1-1-1-12222-2-2-2-200000000-1-1-1-11111112-20011-1-11100-1-1-1-11111000000000000000000002-2-1-111002-2-1-1110000
χ3022222-12-2-222-122-12-12-2-2-2-22222-12-1-1-12-122-1-1-1-2-211-2-2-2-2111100-2-200-1-1-1-12222-2-2-2-200000000-1-1-1-1111111-22001111-1-100-1-1-1-1111100000000000000000000-2211-1-100-2211-1-10000
χ3122222-12-2-222-122-12-12-2-2-2-2-2-2-2-2-12-1-1-12-122-1-1-1-2-211-2-2-2-211110022001111-2-2-2-2222200000000-1-1-1-11111112-200-1-1-1-111001111-1-1-1-1000000000000000000002-2-1-11100-2211-1-10000
χ3222222-12-2-222-122-12-12-2-2-2-2-2-2-2-2-12-1-1-12-122-1-1-1-2-211-2-2-2-211110022001111-2-2-2-2222200000000-1-1-1-1111111-2200-1-111-1-1001111-1-1-1-100000000000000000000-2211-1-1002-2-1-1110000
χ332222-12222-1-1222222-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-1222222002200000000000022222222-1-1-1-1-1-1-1-1-1-122-1-1002222-1-100000000-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-122000000-1-100
χ342222-12222-1-1222222-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-1222222002200000000000022222222-1-1-1-1-1-1-1-1-1-1-2-2-1-100-2-2-2-2-1-100000000-1-1-1-1-1-1-1-1000000000000111111-2-20000001100
χ352222-12222-1-1222222-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-12222-2-200-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-12211002222110000000011111111000000000000-1-1-1-1-1-1-2-20000001100
χ362222-12222-1-1222222-122220000-1-12-1-1-12-1-122-1-1-122-1-1-1-12222-2-200-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-21100-2-2-2-211000000001111111100000000000011111122000000-1-100
χ372222-122-2-2-1-1222222-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-22200-2-20000000000002222-2-2-2-2-1-1-1-11111112-2-1-10022-2-21100000000-1-1-1-11111000000000000-11-1-1112-2000000-1100
χ382222-122-2-2-1-1222222-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-22200-2-20000000000002222-2-2-2-2-1-1-1-1111111-22-1-100-2-2221100000000-1-1-1-111110000000000001-111-1-1-220000001-100
χ392222-122-2-2-1-1222222-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-2-2-20022000000000000-2-2-2-22222-1-1-1-11111112-2110022-2-2-1-1000000001111-1-1-1-1000000000000-11-1-111-220000001-100
χ402222-122-2-2-1-1222222-1-2-2-2-20000-1-12-1-1-12-1-122-111-2-21111-2-2-2-2-2-20022000000000000-2-2-2-22222-1-1-1-1111111-221100-2-222-1-1000000001111-1-1-1-10000000000001-111-1-12-2000000-1100
χ4122-2-222200-2222-2-2-2-2-2000022-2-22222-2-2-22-22-2-20000000000002-2000022-2-222-2-2000022-2-2000022-2-2000000002-20000000022-2-2000022-2-200002-20022-2-20000000000000000000000
χ4222-2-222200-2222-2-2-2-2-2000022-2-22222-2-2-22-22-2-2000000000000-22000022-2-222-2-20000-2-222000022-2-200000000-220000000022-2-20000-2-2220000-2200-2-2220000000000000000000000
χ4322-2-222200-2222-2-2-2-2-20000-2-2222222-2-2-22-22-2-20000000000002-20000-2-222-2-222000022-2-2000022-2-2000000002-200000000-2-222000022-2-20000-2200-2-2220000000000000000000000
χ4422-2-222200-2222-2-2-2-2-20000-2-2222222-2-2-22-22-2-2000000000000-220000-2-222-2-2220000-2-222000022-2-200000000-2200000000-2-2220000-2-22200002-20022-2-20000000000000000000000
χ4522-2-222-100-222-11-21-2-233−3−322-2-22-1-12-211-11-11-2000033−3−333−3−32-2000022-2-2-1-11133−3−3-1-11133−3−3-1-1110033−3−3002-200000000-1-11133−3−3-1-11133−3−32-200-1-11133−3−3000000000000000000
χ4622-2-222-100-222-11-21-2-233−3−322-2-22-1-12-211-11-11-2000033−3−333−3−3-22000022-2-2-1-11133−3−311-1-1−3−333-1-1110033−3−300-2200000000-1-11133−3−311-1-1−3−333-220011-1-1−3−333000000000000000000
χ4722-2-222-100-222-11-21-2-233−3−3-2-2222-1-12-211-11-11-2000033−3−333−3−32-20000-2-22211-1-1−3−333-1-11133−3−3-1-1110033−3−3002-20000000011-1-1−3−333-1-11133−3−3-220011-1-1−3−333000000000000000000
χ4822-2-222-100-222-11-21-2-233−3−3-2-2222-1-12-211-11-11-2000033−3−333−3−3-220000-2-22211-1-1−3−33311-1-1−3−333-1-1110033−3−300-220000000011-1-1−3−33311-1-1−3−3332-200-1-11133−3−3000000000000000000
χ4922-2-222-100-222-11-21-2-2−3−33322-2-22-1-12-211-11-11-20000−3−333−3−3332-2000022-2-2-1-111−3−333-1-111−3−333-1-11100−3−333002-200000000-1-111−3−333-1-111−3−3332-200-1-111−3−333000000000000000000
χ5022-2-222-100-222-11-21-2-2−3−33322-2-22-1-12-211-11-11-20000−3−333−3−333-22000022-2-2-1-111−3−33311-1-133−3−3-1-11100−3−33300-2200000000-1-111−3−33311-1-133−3−3-220011-1-133−3−3000000000000000000
χ5122-2-222-100-222-11-21-2-2−3−333-2-2222-1-12-211-11-11-20000−3−333−3−3332-20000-2-22211-1-133−3−3-1-111−3−333-1-11100−3−333002-20000000011-1-133−3−3-1-111−3−333-220011-1-133−3−3000000000000000000
χ5222-2-222-100-222-11-21-2-2−3−333-2-2222-1-12-211-11-11-20000−3−333−3−333-220000-2-22211-1-133−3−311-1-133−3−3-1-11100−3−33300-220000000011-1-133−3−311-1-133−3−32-200-1-111−3−333000000000000000000
χ532-22-222200-2-2-2-222-2-2200002i−2i2i−2i222-2-2-2-2-22-22200000000000000002-22i−2i2i−2i2i−2i2i−2i000000002-22-22-22-200000000000000002-22i−2i2i−2i000000002-22-2002i−2i00002i−2i2i−2i000000000000000000
χ542-22-222200-2-2-2-222-2-2200002i−2i2i−2i222-2-2-2-2-22-2220000000000000000-222i−2i2i−2i2i−2i2i−2i00000000-22-222-22-20000000000000000-222i−2i2i−2i00000000-22-2200−2i2i0000−2i2i−2i2i000000000000000000
χ552-22-222200-2-2-2-222-2-220000−2i2i−2i2i222-2-2-2-2-22-22200000000000000002-2−2i2i−2i2i−2i2i−2i2i000000002-22-22-22-200000000000000002-2−2i2i−2i2i000000002-22-200−2i2i0000−2i2i−2i2i000000000000000000
χ562-22-222200-2-2-2-222-2-220000−2i2i−2i2i222-2-2-2-2-22-2220000000000000000-22−2i2i−2i2i−2i2i−2i2i00000000-22-222-22-20000000000000000-22−2i2i−2i2i00000000-22-22002i−2i00002i−2i2i−2i000000000000000000
χ572-22-222-100-2-2-21-121-223−33−32i−2i2i−2i2-1-1-2-2111-11-1200003−33−33−33−300002-22i−2i2i−2i−ii−ii−i3i3−i3i33−33−3-11-11-11-11003−33−300000000002-2−ii−ii−i3i3−i3i33−33−3-11-11002i−2i−i3i3−i3i3−ii−ii000000000000000000
χ582-22-222-100-2-2-21-121-223−33−32i−2i2i−2i2-1-1-2-2111-11-1200003−33−33−33−30000-222i−2i2i−2i−ii−ii−i3i3−i3i3−33−331-11-1-11-11003−33−30000000000-22−ii−ii−i3i3−i3i3−33−331-11-100−2i2ii3−i3i3−i3i−ii−i000000000000000000
χ592-22-222-100-2-2-21-121-223−33−3−2i2i−2i2i2-1-1-2-2111-11-1200003−33−33−33−300002-2−2i2i−2i2ii−ii−ii3−i3i3−i33−33−3-11-11-11-11003−33−300000000002-2i−ii−ii3−i3i3−i33−33−3-11-1100−2i2ii3−i3i3−i3i−ii−i000000000000000000
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χ1344-4-44-2-24-44-222-4-424-22-444-400001-2-2-11-2-22222-12-22-22-2-222-2-22000000000000000000000000001-1-11-11-111-1000000−232323−23000000000000000000000000000000003−3−33000000000000
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
χ13788-8-8-4-48004-4-48-84-844000000002-4-42-244-44-44-20000000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-4004-4-4-4444444343−43−4300002222-2-2-22-22-2-20000−23−232323−23−23232300000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-4-4004-4-4-444444−43−43434300002222-2-2-22-22-2-200002323−23−232323−23−2300000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-4800444-88-4-84-4000000002-4-4-2-2444-44-42000000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-4004444-4-444-443−4343−430000222-2-2-2-2-22-2220000−2323−2323−2323−232300000000000000000000000000-11-11003−33−30000000000000000000000000000000000000000000000000000000000
χ1428-88-8-4-4-4004444-4-444-4−4343−43430000222-2-2-2-2-22-222000023−2323−2323−2323−2300000000000000000000000000-11-1100−33−330000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-48-8-444444-4-44-444-40000222-2222-2-2-2-2-2-44-442-2-222-2-2200000000000000000000000000-111-12-2-111-10000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4-88-444444-4-444-4-440000222-2222-2-2-2-2-24-44-4-222-2-222-200000000000000000000000000-111-1-221-1-110000000000000000000000000000000000000000000000000000000000

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