Finite Group Databasebeta

← Group #13048674

Character table — Group #13048674

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11111111111122222222222266666666666666666666661212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818545454545454
order1233446612121212333666121212121212233334666666121212121212121212123333666612121212121212122466666666666666661212121212121212121212121212121224661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111-11111-1-1-11111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-11111-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-111-1-1-1-1111111-1-1-1-1-1-111111-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ61111-1-111-1-1-1-1111111-1-1-1-1-1-111111-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-111-1-1
χ71111-1-111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1
χ81111-1-111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-111
χ922222222222222222222222222-1-1-12222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1000000000022-1-1-1-1-1-10000000022-1-1-1-1-1-1000000
χ102222222222222222222222222-12-1-1222-12-1-122-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-10000000000-1-122-1-1-1-100000000-1-122-1-1-1-1000000
χ112222222222222222222222222-1-12-1222-1-12-122-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-10000000000-1-1-1-122-1-100000000-1-1-1-122-1-1000000
χ122222222222222222222222222-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1220000000000-1-1-1-1-1-12200000000-1-1-1-1-1-122000000
χ13222222222222222222222222-22-1-1-1-2-2-22-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-10000000000-2-211111100000000-2-2111111000000
χ14222222222222222222222222-2-12-1-1-2-2-2-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000011-2-211110000000011-2-21111000000
χ15222222222222222222222222-2-1-12-1-2-2-2-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-100000000001111-2-211000000001111-2-211000000
χ16222222222222222222222222-2-1-1-12-2-2-2-1-1-12-2-2-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1220000000000111111-2-200000000111111-2-2000000
χ17222222222222-1-1-1-1-1-1-1-1-1-1-1-10222200022220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000000022-1-1-1-1-1-100000000000000
χ18222222222222-1-1-1-1-1-1-1-1-1-1-1-10222200022220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111100000000-2-211111100000000000000
χ192222-2-222-2-2-2-2222222-2-2-2-2-2-222-1-1-1-2222-1-1-1-2-2-2-21111112-1-1-12-1-1-1-2-2111111000000000022-1-1-1-1-1-100000000-2-2111111000000
χ202222-2-222-2-2-2-2222222-2-2-2-2-2-22-12-1-1-222-12-1-1-2-211-2-21111-12-1-1-12-1-111-2-211110000000000-1-122-1-1-1-10000000011-2-21111000000
χ212222-2-222-2-2-2-2222222-2-2-2-2-2-22-1-12-1-222-1-12-1-2-21111-2-211-1-12-1-1-12-11111-2-2110000000000-1-1-1-122-1-1000000001111-2-211000000
χ222222-2-222-2-2-2-2222222-2-2-2-2-2-22-1-1-12-222-1-1-12-2-2111111-2-2-1-1-12-1-1-12111111-2-20000000000-1-1-1-1-1-12200000000111111-2-2000000
χ232222-2-222-2-2-2-2222222-2-2-2-2-2-2-22-1-1-12-2-22-1-1-122-2-21111112-1-1-12-1-1-1-2-21111110000000000-2-21111110000000022-1-1-1-1-1-1000000
χ242222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-12-1-12-2-2-12-1-12211-2-21111-12-1-1-12-1-111-2-21111000000000011-2-2111100000000-1-122-1-1-1-1000000
χ252222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-1-12-12-2-2-1-12-1221111-2-211-1-12-1-1-12-11111-2-21100000000001111-2-21100000000-1-1-1-122-1-1000000
χ262222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-1-1-122-2-2-1-1-1222111111-2-2-1-1-12-1-1-12111111-2-20000000000111111-2-200000000-1-1-1-1-1-122000000
χ272222-2-222-2-2-2-2-1-1-1-1-1-111111102222000222200-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111112-222-1-1-1-1-1-100000000-2-211111100000000000000
χ282222-2-222-2-2-2-2-1-1-1-1-1-111111102222000222200-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-22-2-21111110000000022-1-1-1-1-1-100000000000000
χ292-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i02222000-2-2-2-2002i−2i2i−2i2i−2i2i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ302-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i02-1-1-1000-2111002i−2i−ii−ii−ii2-1-1-1-21112i−2i−ii−ii−ii000000000000−i3i3−i3i3−i3i300000000003−33−33−3000000
χ312-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i02-1-1-1000-2111002i−2i−ii−ii−ii2-1-1-1-21112i−2i−ii−ii−ii000000000000i3−i3i3−i3i3−i30000000000−33−33−33000000
χ322-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i0-12-1-10001-21100−ii2i−2i−ii−ii-12-1-11-211−ii2i−2i−ii−ii0000000000−i3i300−i3i3i3−i3000000003−3003−3−33000000
χ332-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i0-12-1-10001-21100−ii2i−2i−ii−ii-12-1-11-211−ii2i−2i−ii−ii0000000000i3−i300i3−i3−i3i300000000−3300−333−3000000
χ342-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i0-1-12-100011-2100−ii−ii2i−2i−ii-1-12-111-21−ii−ii2i−2i−ii0000000000−i3i3i3−i300−i3i3000000003−3−33003−3000000
χ352-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i0-1-12-100011-2100−ii−ii2i−2i−ii-1-12-111-21−ii−ii2i−2i−ii0000000000i3−i3−i3i300i3−i300000000−333−300−33000000
χ362-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i0-1-1-12000111-200−ii−ii−ii2i−2i-1-1-12111-2−ii−ii−ii2i−2i0000000000−i3i3−i3i3i3−i300000000003−33−3−3300000000
χ372-2222i−2i-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i0-1-1-12000111-200−ii−ii−ii2i−2i-1-1-12111-2−ii−ii−ii2i−2i0000000000i3−i3i3−i3−i3i30000000000−33−333−300000000
χ382-2222i−2i-2-22i2i−2i−2i-1-1-1111−i−i−iiii02222000-2-2-2-2002i−2i2i−2i2i−2i2i−2i-1-1-1-11111−ii−ii−ii−ii0000−i3−i3−i3i3i3i30000000000333−3−3−300000000000000
χ392-2222i−2i-2-22i2i−2i−2i-1-1-1111−i−i−iiii02222000-2-2-2-2002i−2i2i−2i2i−2i2i−2i-1-1-1-11111−ii−ii−ii−ii0000i3i3i3−i3−i3−i30000000000−3−3−333300000000000000
χ402-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i02222000-2-2-2-200−2i2i−2i2i−2i2i−2i2i2222-2-2-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ412-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i02-1-1-1000-211100−2i2ii−ii−ii−i2-1-1-1-2111−2i2ii−ii−ii−i000000000000−i3i3−i3i3−i3i30000000000−33−33−33000000
χ422-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i02-1-1-1000-211100−2i2ii−ii−ii−i2-1-1-1-2111−2i2ii−ii−ii−i000000000000i3−i3i3−i3i3−i300000000003−33−33−3000000
χ432-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i0-12-1-10001-21100i−i−2i2ii−ii−i-12-1-11-211i−i−2i2ii−ii−i0000000000−i3i300−i3i3i3−i300000000−3300−333−3000000
χ442-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i0-12-1-10001-21100i−i−2i2ii−ii−i-12-1-11-211i−i−2i2ii−ii−i0000000000i3−i300i3−i3−i3i3000000003−3003−3−33000000
χ452-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i0-1-12-100011-2100i−ii−i−2i2ii−i-1-12-111-21i−ii−i−2i2ii−i0000000000−i3i3i3−i300−i3i300000000−333−300−33000000
χ462-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i0-1-12-100011-2100i−ii−i−2i2ii−i-1-12-111-21i−ii−i−2i2ii−i0000000000i3−i3−i3i300i3−i3000000003−3−33003−3000000
χ472-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i0-1-1-12000111-200i−ii−ii−i−2i2i-1-1-12111-2i−ii−ii−i−2i2i0000000000−i3i3−i3i3i3−i30000000000−33−333−300000000
χ482-222−2i2i-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i0-1-1-12000111-200i−ii−ii−i−2i2i-1-1-12111-2i−ii−ii−i−2i2i0000000000i3−i3i3−i3−i3i300000000003−33−3−3300000000
χ492-222−2i2i-2-2−2i−2i2i2i-1-1-1111iii−i−i−i02222000-2-2-2-200−2i2i−2i2i−2i2i−2i2i-1-1-1-11111i−ii−ii−ii−i0000−i3−i3−i3i3i3i30000000000−3−3−333300000000000000
χ502-222−2i2i-2-2−2i−2i2i2i-1-1-1111iii−i−i−i02222000-2-2-2-200−2i2i−2i2i−2i2i−2i2i-1-1-1-11111i−ii−ii−ii−i0000i3i3i3−i3−i3−i30000000000333−3−3−300000000000000
χ5133−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32300003−3−3i32−3+3i320000−3−3i32−3+3i3200000000000000000000000011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000−1−i32−1+i321−1−i32−1+i321−1−i32−1+i320000000011−1−i32−1+i32−1−i32−1+i32
χ5233−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32300003−3−3i32−3+3i320000−3−3i32−3+3i32000000000000000000000000-1-11+i321−i32-11+i321−i32-11+i321−i32000000001+i321−i32-11+i321−i32-11+i321−i3200000000-1-11+i321−i321+i321−i32
χ5333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-30000-33+3i323−3i3200003+3i323−3i3200000000000000000000000011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000-1-11+i321−i321+i321−i32
χ5433−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-30000-33+3i323−3i3200003+3i323−3i32000000000000000000000000-1-11+i321−i32-11+i321−i32-11+i321−i32000000001+i321−i32-11+i321−i32-11+i321−i320000000011−1−i32−1+i32−1−i32−1+i32
χ5533−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i3230000-3−3−3i32−3+3i3200003+3i323−3i320000000000000000000000001-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000001+i321−i32-11+i321−i32-11+i321−i3200000000-111+i321−i32−1−i32−1+i32
χ5633−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i3230000-3−3−3i32−3+3i3200003+3i323−3i32000000000000000000000000-111+i321−i32-11+i321−i32-11+i321−i3200000000−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000001-1−1−i32−1+i321+i321−i32
χ5733−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i32-3000033+3i323−3i320000−3−3i32−3+3i320000000000000000000000001-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000001+i321−i32-11+i321−i32-11+i321−i32000000001-1−1−i32−1+i321+i321−i32
χ5833−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i32-3000033+3i323−3i320000−3−3i32−3+3i32000000000000000000000000-111+i321−i32-11+i321−i32-11+i321−i3200000000−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000-111+i321−i32−1−i32−1+i32
χ5933−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32300003−3+3i32−3−3i320000−3+3i32−3−3i3200000000000000000000000011−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000−1+i32−1−i321−1+i32−1−i321−1+i32−1−i320000000011−1+i32−1−i32−1+i32−1−i32
χ6033−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32300003−3+3i32−3−3i320000−3+3i32−3−3i32000000000000000000000000-1-11−i321+i32-11−i321+i32-11−i321+i32000000001−i321+i32-11−i321+i32-11−i321+i3200000000-1-11−i321+i321−i321+i32
χ6133−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-30000-33−3i323+3i3200003−3i323+3i3200000000000000000000000011−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000-1-11−i321+i321−i321+i32
χ6233−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-30000-33−3i323+3i3200003−3i323+3i32000000000000000000000000-1-11−i321+i32-11−i321+i32-11−i321+i32000000001−i321+i32-11−i321+i32-11−i321+i320000000011−1+i32−1−i32−1+i32−1−i32
χ6333−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i3230000-3−3+3i32−3−3i3200003−3i323+3i320000000000000000000000001-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000001−i321+i32-11−i321+i32-11−i321+i3200000000-111−i321+i32−1+i32−1−i32
χ6433−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i3230000-3−3+3i32−3−3i3200003−3i323+3i32000000000000000000000000-111−i321+i32-11−i321+i32-11−i321+i3200000000−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000001-1−1+i32−1−i321−i321+i32
χ6533−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i32-3000033−3i323+3i320000−3+3i32−3−3i320000000000000000000000001-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000001−i321+i32-11−i321+i32-11−i321+i32000000001-1−1+i32−1−i321−i321+i32
χ6633−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i32-3000033−3i323+3i320000−3+3i32−3−3i32000000000000000000000000-111−i321+i32-11−i321+i32-11−i321+i3200000000−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000-111−i321+i32−1+i32−1−i32
χ67444444444444-2-2-2-2-2-2-2-2-2-2-2-204-2-2-20004-2-2-20044-2-2-2-2-2-2-2111-2111-2-21111110000000000000000000000000000000000000000
χ68444444444444-2-2-2-2-2-2-2-2-2-2-2-20-24-2-2000-24-2-200-2-244-2-2-2-21-2111-21111-2-211110000000000000000000000000000000000000000
χ69444444444444-2-2-2-2-2-2-2-2-2-2-2-20-2-24-2000-2-24-200-2-2-2-244-2-211-2111-211111-2-2110000000000000000000000000000000000000000
χ70444444444444-2-2-2-2-2-2-2-2-2-2-2-20-2-2-24000-2-2-2400-2-2-2-2-2-244111-2111-2111111-2-20000000000000000000000000000000000000000
χ714444-4-444-4-4-4-4-2-2-2-2-2-222222204-2-2-20004-2-2-200-4-4222222-2111-211122-1-1-1-1-1-10000000000000000000000000000000000000000
χ724444-4-444-4-4-4-4-2-2-2-2-2-22222220-24-2-2000-24-2-20022-4-422221-2111-211-1-122-1-1-1-10000000000000000000000000000000000000000
χ734444-4-444-4-4-4-4-2-2-2-2-2-22222220-2-24-2000-2-24-2002222-4-42211-2111-21-1-1-1-122-1-10000000000000000000000000000000000000000
χ744444-4-444-4-4-4-4-2-2-2-2-2-22222220-2-2-24000-2-2-2400222222-4-4111-2111-2-1-1-1-1-1-1220000000000000000000000000000000000000000
χ754-4444i−4i-4-44i4i−4i−4i-2-2-2222−2i−2i−2i2i2i2i04-2-2-2000-4222004i−4i−2i2i−2i2i−2i2i-21112-1-1-1−2i2ii−ii−ii−i0000000000000000000000000000000000000000
χ764-4444i−4i-4-44i4i−4i−4i-2-2-2222−2i−2i−2i2i2i2i0-24-2-20002-42200−2i2i4i−4i−2i2i−2i2i1-211-12-1-1i−i−2i2ii−ii−i0000000000000000000000000000000000000000
χ774-4444i−4i-4-44i4i−4i−4i-2-2-2222−2i−2i−2i2i2i2i0-2-24-200022-4200−2i2i−2i2i4i−4i−2i2i11-21-1-12-1i−ii−i−2i2ii−i0000000000000000000000000000000000000000
χ784-4444i−4i-4-44i4i−4i−4i-2-2-2222−2i−2i−2i2i2i2i0-2-2-24000222-400−2i2i−2i2i−2i2i4i−4i111-2-1-1-12i−ii−ii−i−2i2i0000000000000000000000000000000000000000
χ794-444−4i4i-4-4−4i−4i4i4i-2-2-22222i2i2i−2i−2i−2i04-2-2-2000-422200−4i4i2i−2i2i−2i2i−2i-21112-1-1-12i−2i−ii−ii−ii0000000000000000000000000000000000000000
χ804-444−4i4i-4-4−4i−4i4i4i-2-2-22222i2i2i−2i−2i−2i0-24-2-20002-422002i−2i−4i4i2i−2i2i−2i1-211-12-1-1−ii2i−2i−ii−ii0000000000000000000000000000000000000000
χ814-444−4i4i-4-4−4i−4i4i4i-2-2-22222i2i2i−2i−2i−2i0-2-24-200022-42002i−2i2i−2i−4i4i2i−2i11-21-1-12-1−ii−ii2i−2i−ii0000000000000000000000000000000000000000
χ824-444−4i4i-4-4−4i−4i4i4i-2-2-22222i2i2i−2i−2i−2i0-2-2-24000222-4002i−2i2i−2i2i−2i−4i4i111-2-1-1-12−ii−ii−ii2i−2i0000000000000000000000000000000000000000
χ8366−3−3i3−3+3i366−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i320000000000000000000000000000000000000022−1−i3−1+i3-11+i321−i32-11+i321−i3200000000−1−i3−1+i3-11+i321−i32-11+i321−i3200000000000000
χ8466−3−3i3−3+3i366−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i3200000000000000000000000000000000000000-2-21+i31−i31−1−i32−1+i321−1−i32−1+i32000000001+i31−i31−1−i32−1+i321−1−i32−1+i3200000000000000
χ8566−3−3i3−3+3i3-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000000002-2−1−i3−1+i3-11+i321−i32-11+i321−i32000000001+i31−i31−1−i32−1+i321−1−i32−1+i3200000000000000
χ8666−3−3i3−3+3i3-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000000000000000000000-221+i31−i31−1−i32−1+i321−1−i32−1+i3200000000−1−i3−1+i3-11+i321−i32-11+i321−i3200000000000000
χ8766−3+3i3−3−3i366−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i320000000000000000000000000000000000000022−1+i3−1−i3-11−i321+i32-11−i321+i3200000000−1+i3−1−i3-11−i321+i32-11−i321+i3200000000000000
χ8866−3+3i3−3−3i366−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i3200000000000000000000000000000000000000-2-21−i31+i31−1+i32−1−i321−1+i32−1−i32000000001−i31+i31−1+i32−1−i321−1+i32−1−i3200000000000000
χ8966−3+3i3−3−3i3-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000002-2−1+i3−1−i3-11−i321+i32-11−i321+i32000000001−i31+i31−1+i32−1−i321−1+i32−1−i3200000000000000
χ9066−3+3i3−3−3i3-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000000000000000000000-221−i31+i31−1+i32−1−i321−1+i32−1−i3200000000−1+i3−1−i3-11−i321+i32-11−i321+i3200000000000000
χ916-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ76−3−3i3−3+3i3-63+3i33−3i36i6ζ116ζ7−6i−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ926-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ7-33+3i323−3i323−3−3i32−3+3i32−3i−3ζ11−3ζ73i3ζ113ζ7000000000000000000000000000000000000000000−i3−3+i323+i32i33−i32−3−i32000000000032ζ7+ζ11−ζ7−2ζ11−3−2ζ7−ζ11ζ7+2ζ1100000000000000
χ936-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ7-33+3i323−3i323−3−3i32−3+3i32−3i−3ζ11−3ζ73i3ζ113ζ7000000000000000000000000000000000000000000i33−i32−3−i32−i3−3+i323+i320000000000−3−2ζ7−ζ11ζ7+2ζ1132ζ7+ζ11−ζ7−2ζ1100000000000000
χ946-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ76−3−3i3−3+3i3-63+3i33−3i3−6i−6ζ11−6ζ76i6ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ956-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ7-33+3i323−3i323−3−3i32−3+3i323i3ζ113ζ7−3i−3ζ11−3ζ7000000000000000000000000000000000000000000−i3−3+i323+i32i33−i32−3−i320000000000−3−2ζ7−ζ11ζ7+2ζ1132ζ7+ζ11−ζ7−2ζ1100000000000000
χ966-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ7-33+3i323−3i323−3−3i32−3+3i323i3ζ113ζ7−3i−3ζ11−3ζ7000000000000000000000000000000000000000000i33−i32−3−i32−i3−3+i323+i32000000000032ζ7+ζ11−ζ7−2ζ11−3−2ζ7−ζ11ζ7+2ζ1100000000000000
χ976-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ116−3+3i3−3−3i3-63−3i33+3i36i6ζ76ζ11−6i−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000
χ986-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ11-33−3i323+3i323−3+3i32−3−3i32−3i−3ζ7−3ζ113i3ζ73ζ11000000000000000000000000000000000000000000−i33+i32−3+i32i3−3−i323−i3200000000003−ζ7−2ζ112ζ7+ζ11−3ζ7+2ζ11−2ζ7−ζ1100000000000000
χ996-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ11-33−3i323+3i323−3+3i32−3−3i32−3i−3ζ7−3ζ113i3ζ73ζ11000000000000000000000000000000000000000000i3−3−i323−i32−i33+i32−3+i320000000000−3ζ7+2ζ11−2ζ7−ζ113−ζ7−2ζ112ζ7+ζ1100000000000000
χ1006-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ116−3+3i3−3−3i3-63−3i33+3i3−6i−6ζ7−6ζ116i6ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1016-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11-33−3i323+3i323−3+3i32−3−3i323i3ζ73ζ11−3i−3ζ7−3ζ11000000000000000000000000000000000000000000−i33+i32−3+i32i3−3−i323−i320000000000−3ζ7+2ζ11−2ζ7−ζ113−ζ7−2ζ112ζ7+ζ1100000000000000
χ1026-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11-33−3i323+3i323−3+3i32−3−3i323i3ζ73ζ11−3i−3ζ7−3ζ11000000000000000000000000000000000000000000i3−3−i323−i32−i33+i32−3+i3200000000003−ζ7−2ζ112ζ7+ζ11−3ζ7+2ζ11−2ζ7−ζ1100000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.