Finite Group Databasebeta

← Group #13143949

Character table — Group #13143949

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111111111222222222222222222666666666666666688888812121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181824242424242424242424242424242424727272727272
order1222336666664488881212121224242424242424243333666666666666246612121212121212121212242424242424242424242424242424242244666688881212121224242424242424246666666612121212121212124412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-111
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-1
χ92222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-1-1-122-1-1-1-1-1-1000000
χ102222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2-2-22-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2111111-2-2111111000000
χ11222222222222222222222222222222-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000-1-122-1-1-1-1-1-122-1-1-1-1000000
χ12222222222222222222222222222222-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-2-2-2-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000000011-2-2111111-2-21111000000
χ13222222222222222222222222222222-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000-1-1-1-122-1-1-1-1-1-122-1-1000000
χ14222222222222222222222222222222-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000000000001111-2-2111111-2-211000000
χ15222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000-1-1-1-1-1-122-1-1-1-1-1-122000000
χ16222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000111111-2-2111111-2-2000000
χ1722222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12-222-2-22-1-1-12-1-1-1-2-2-2-211111111111100000000000000000000000022-1-1-1-1-1-1-2-2111111000000
χ1822222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-22-2-2222-1-1-12-1-1-1-2-2-2-2111111111111000000000000000000000000-2-211111122-1-1-1-1-1-1000000
χ1922222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-12-222-2-2-12-1-1-12-1-11111-2-2-2-211111111000000000000000000000000-1-122-1-1-1-111-2-21111000000
χ2022222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-22-2-222-12-1-1-12-1-11111-2-2-2-21111111100000000000000000000000011-2-21111-1-122-1-1-1-1000000
χ2122222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-12-222-2-2-1-12-1-1-12-111111111-2-2-2-21111000000000000000000000000-1-1-1-122-1-11111-2-211000000
χ2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1-22-2-222-1-12-1-1-12-111111111-2-2-2-211110000000000000000000000001111-2-211-1-1-1-122-1-1000000
χ2322222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-122-222-2-2-1-1-12-1-1-12111111111111-2-2-2-2000000000000000000000000-1-1-1-1-1-122111111-2-2000000
χ2422222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12-22-2-222-1-1-12-1-1-12111111111111-2-2-2-2000000000000000000000000111111-2-2-1-1-1-1-1-122000000
χ25222222222222-2-20000-2-2-2-2000000002222222222222222000000-2-2-2-2-2-2-2-2000000000000000022-2-222220000-2-2-2-2000000000000000000000000000000
χ26222222222222-2-20000-2-2-2-2000000002222222222222222000000-2-2-2-2-2-2-2-20000000000000000-2-222-2-2-2-200002222000000000000000000000000000000
χ2722-2-22222-2-2-2-20022−2−200002222−2−2−2−22222-2-2-2-2-2-2-2-222220000000000000022−2−222−2−222−2−222−2−2002i−2i0000−i2−i2i2i22i2i−2i−2i−i2−i2−i2−i2i2i2i2i20000000000000000000000
χ2822-2-22222-2-2-2-20022−2−200002222−2−2−2−22222-2-2-2-2-2-2-2-222220000000000000022−2−222−2−222−2−222−2−200−2i2i0000i2i2−i2−i2−2i−2i2i2ii2i2i2i2−i2−i2−i2−i20000000000000000000000
χ2922-2-22222-2-2-2-200−2−2220000−2−2−2−222222222-2-2-2-2-2-2-2-2222200000000000000−2−222−2−222−2−222−2−222002i−2i0000i2i2−i2−i22i2i−2i−2ii2i2i2i2−i2−i2−i2−i20000000000000000000000
χ3022-2-22222-2-2-2-200−2−2220000−2−2−2−222222222-2-2-2-2-2-2-2-2222200000000000000−2−222−2−222−2−222−2−22200−2i2i0000−i2−i2i2i2−2i−2i2i2i−i2−i2−i2−i2i2i2i2i20000000000000000000000
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χ322-22-222-2-222-2-200−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i222222222-2-2-2-2-2-2-2-200000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-2200-2-222i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ332-22-222-2-222-2-200i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i222222222-2-2-2-2-2-2-2-200000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20022-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ342-22-222-2-222-2-200i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i222222222-2-2-2-2-2-2-2-200000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-2200-2-222−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ352-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i2222-2-2-2-22222-2-2-2-20000002222-2-2-2-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ362-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-21112i−2i−2i2i−iii−i−iii−i−iii−i00000000000000000000000000−i3i3−i3i3−i3i3003−33−33−3000000
χ372-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-21112i−2i−2i2i−iii−i−iii−i−iii−i00000000000000000000000000i3−i3i3−i3i3−i300−33−33−33000000
χ382-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i-12-1-11-211-12-1-11-211000000-12-1-11-211−iii−i2i−2i−2i2i−iii−i−iii−i000000000000000000000000−i3i300−i3i3i3−i33−3003−3−33000000
χ392-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i-12-1-11-211-12-1-11-211000000-12-1-11-211−iii−i2i−2i−2i2i−iii−i−iii−i000000000000000000000000i3−i300i3−i3−i3i3−3300−333−3000000
χ402-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i-1-12-111-21-1-12-111-21000000-1-12-111-21−iii−i−iii−i2i−2i−2i2i−iii−i000000000000000000000000−i3i3i3−i300−i3i33−3−33003−3000000
χ412-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i-1-12-111-21-1-12-111-21000000-1-12-111-21−iii−i−iii−i2i−2i−2i2i−iii−i000000000000000000000000i3−i3−i3i300i3−i3−333−300−33000000
χ422-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2−iii−i−iii−i−iii−i2i−2i−2i2i000000000000000000000000−i3i3−i3i3i3−i3003−33−3−3300000000
χ432-2-2222-2-2-2-2222-22i−2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2−iii−i−iii−i−iii−i2i−2i−2i2i000000000000000000000000i3−i3i3−i3−i3i300−33−333−300000000
χ442-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i2222-2-2-2-22222-2-2-2-20000002222-2-2-2-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ452-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-2111−2i2i2i−2ii−i−iii−i−iii−i−ii00000000000000000000000000−i3i3−i3i3−i3i300−33−33−33000000
χ462-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i2-1-1-1-21112-1-1-1-21110000002-1-1-1-2111−2i2i2i−2ii−i−iii−i−iii−i−ii00000000000000000000000000i3−i3i3−i3i3−i3003−33−33−3000000
χ472-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i-12-1-11-211-12-1-11-211000000-12-1-11-211i−i−ii−2i2i2i−2ii−i−iii−i−ii000000000000000000000000−i3i300−i3i3i3−i3−3300−333−3000000
χ482-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i-12-1-11-211-12-1-11-211000000-12-1-11-211i−i−ii−2i2i2i−2ii−i−iii−i−ii000000000000000000000000i3−i300i3−i3−i3i33−3003−3−33000000
χ492-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i-1-12-111-21-1-12-111-21000000-1-12-111-21i−i−iii−i−ii−2i2i2i−2ii−i−ii000000000000000000000000−i3i3i3−i300−i3i3−333−300−33000000
χ502-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i-1-12-111-21-1-12-111-21000000-1-12-111-21i−i−iii−i−ii−2i2i2i−2ii−i−ii000000000000000000000000i3−i3−i3i300i3−i33−3−33003−3000000
χ512-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2i−i−iii−i−iii−i−ii−2i2i2i−2i000000000000000000000000−i3i3−i3i3i3−i300−33−333−300000000
χ522-2-2222-2-2-2-2222-2−2i2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i-1-1-12111-2-1-1-12111-2000000-1-1-12111-2i−i−iii−i−iii−i−ii−2i2i2i−2i000000000000000000000000i3−i3i3−i3−i3i3003−33−3−3300000000
χ532-2-2222-2-2-2-222-220000-2-222000000002222-2-2-2-22222-2-2-2-2000000-2-2-2-222220000000000000000000000002-2-22000022-2-2-2-2220000000000000000000000
χ542-2-2222-2-2-2-222-220000-2-222000000002222-2-2-2-22222-2-2-2-2000000-2-2-2-22222000000000000000000000000-222-20000-2-22222-2-20000000000000000000000
χ553333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000001111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000011−1−i32−1+i32−1−i32−1+i32
χ563333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i320000000000000000-1-11+i321−i321+i321−i32
χ573333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-3-33+3i323−3i323+3i323−3i320000000000000000000000001111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000-1-11+i321−i321+i321−i32
χ583333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-3-33+3i323−3i323+3i323−3i32000000000000000000000000-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000000000000011−1−i32−1+i32−1−i32−1+i32
χ593333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3200000000000000003-3−3−3i32−3+3i323+3i323−3i320000000000000000000000001111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000001-1−1−i32−1+i321+i321−i32
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χ1146-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3003i2−3i23i2−3i20000−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ130000000000000000000000000000000000000000000000-22001−i31+i3−1+i3−1−i3−i2i2−i2i20000ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ130000000000000000000000
χ1156-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-66i−6i−6i6i−3−3i3−3+3i33+3i33−3i36ζ226ζ14−6ζ22−6ζ14−6ζ22−6ζ146ζ226ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1166-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-6−6i6i6i−6i−3−3i3−3+3i33+3i33−3i3−6ζ22−6ζ146ζ226ζ146ζ226ζ14−6ζ22−6ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1176-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-6600003+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000002-2-220000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30000000000000000000000
χ1186-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-6600003+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000-222-200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000000000000000000000
χ1196-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-66i−6i−6i6i−3+3i3−3−3i33−3i33+3i36ζ146ζ22−6ζ14−6ζ22−6ζ14−6ζ226ζ146ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1206-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-6−6i6i6i−6i−3+3i3−3−3i33−3i33+3i3−6ζ14−6ζ226ζ146ζ226ζ146ζ22−6ζ14−6ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1216-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-6600003−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000002-2-220000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30000000000000000000000
χ1226-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-6600003−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000-222-200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.