Finite Group Databasebeta

← Group #13167070

Character table — Group #13167070

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222224444444444444444444444444444888888888812121212121212121212121212121212121212121212121212121212121212121212121218183636363636727272727272108108108108
order122234466612121212333366666666666612121212121212121212121236661212121212124444121212121212121212121212121212121212121212121212121212121212121244266121244121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-111-1-111-1-1
χ611111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11-1-111-1-111
χ711111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-111-1-1-1-111
χ811111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-11-1-11111-1-1
χ92222222222222222222222222222222222222222222222222222000000000000000000000000000000000000-2-2-2-2-2-2-20000000000
χ1022222-2-2222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000-2-2222-2-20000000000
χ112222-122-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3-2-2-211110000000000
χ122222-122-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-2-2-211110000000000
χ132222-122-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111222-1-1-1-10000000000
χ152222-1-2-2-1-1-1111122-1-122-1-122-1-1-1-122-2-2-2-211111111-1-1-1-1-2-211110000−i3−i3i3i3i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-2-22-1-1110000000000
χ162222-1-2-2-1-1-1111122-1-122-1-122-1-1-1-122-2-2-2-211111111-1-1-1-1-2-211110000i3i3−i3−i3−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-2-22-1-1110000000000
χ172222-1-2-2-1-1-1111122-1-122-1-122-1-1-1-122-2-2-2-211111111-1-1-1-1-2-2111122-2-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111122-211-1-10000000000
χ182222-1-2-2-1-1-1111122-1-122-1-122-1-1-1-122-2-2-2-211111111-1-1-1-1-2-21111-2-2221111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122-211-1-10000000000
χ192-22-222i−2i2-2-22i2i−2i−2i2222-2-2-2-22-222-2-22-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-22i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000−i2i22−2
χ202-22-222i−2i2-2-22i2i−2i−2i2222-2-2-2-22-222-2-22-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-22i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000i2−i2−22
χ212-22-22−2i2i2-2-2−2i−2i2i2i2222-2-2-2-22-222-2-22-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000−i2i2−22
χ222-22-22−2i2i2-2-2−2i−2i2i2i2222-2-2-2-22-222-2-22-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000i2−i22−2
χ232-2-22200-2-2200002222-2222-2-2-2-2-2-2-220000000000002-2-22000000002i−2i00002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-20002-20000000000
χ242-2-22200-2-2200002222-2222-2-2-2-2-2-2-220000000000002-2-2200000000−2i2i0000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-20002-20000000000
χ252-2-22200-2-2200002222-2222-2-2-2-2-2-2-220000000000002-2-220000002i−2i002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000-22000-220000000000
χ262-2-22200-2-2200002222-2222-2-2-2-2-2-2-220000000000002-2-22000000−2i2i00−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000-22000-220000000000
χ272-2-22-10011-1−i3i3−i3i322-1-1-22-1-1-2-21111-220000−i3−i3i3i3−i3−i3i3i3-111-100−i3i3−i3i3002i−2i3−3−33−ii−ii000033−3−3−3−3332i2i−2i−2i−i−iii−i−iii2-20−i3i3-110000000000
χ282-2-22-10011-1−i3i3−i3i322-1-1-22-1-1-2-21111-220000−i3−i3i3i3−i3−i3i3i3-111-100−i3i3−i3i300−2i2i−333−3i−ii−i0000−3−33333−3−3−2i−2i2i2iii−i−iii−i−i2-20−i3i3-110000000000
χ292-2-22-10011-1−i3i3−i3i322-1-1-22-1-1-2-21111-220000−i3−i3i3i3−i3−i3i3i3-111-100−i3i3−i3i32i−2i00−ii−ii3−3−332i2i−2i−2i−i−iii−i−iii000033−3−3−3−333-220i3−i31-10000000000
χ302-2-22-10011-1−i3i3−i3i322-1-1-22-1-1-2-21111-220000−i3−i3i3i3−i3−i3i3i3-111-100−i3i3−i3i3−2i2i00i−ii−i−333−3−2i−2i2i2iii−i−iii−i−i0000−3−33333−3−3-220i3−i31-10000000000
χ312-2-22-10011-1i3−i3i3−i322-1-1-22-1-1-2-21111-220000i3i3−i3−i3i3i3−i3−i3-111-100i3−i3i3−i3002i−2i−333−3−ii−ii0000−3−33333−3−32i2i−2i−2i−i−iii−i−iii2-20i3−i3-110000000000
χ322-2-22-10011-1i3−i3i3−i322-1-1-22-1-1-2-21111-220000i3i3−i3−i3i3i3−i3−i3-111-100i3−i3i3−i300−2i2i3−3−33i−ii−i000033−3−3−3−333−2i−2i2i2iii−i−iii−i−i2-20i3−i3-110000000000
χ332-2-22-10011-1i3−i3i3−i322-1-1-22-1-1-2-21111-220000i3i3−i3−i3i3i3−i3−i3-111-100i3−i3i3−i32i−2i00−ii−ii−333−32i2i−2i−2i−i−iii−i−iii0000−3−33333−3−3-220−i3i31-10000000000
χ342-2-22-10011-1i3−i3i3−i322-1-1-22-1-1-2-21111-220000i3i3−i3−i3i3i3−i3−i3-111-100i3−i3i3−i3−2i2i00i−ii−i3−3−33−2i−2i2i2iii−i−iii−i−i000033−3−3−3−333-220−i3i31-10000000000
χ35444444444444441-211-2111111111-2-2111111111111-2-2-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000
χ36444444444444441-211-2111111111-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000
χ3744444444444444-21-2-21-2-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000000000022-1-1-1-10000
χ3844444444444444-21-2-21-2-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000000000000-2-211110000
χ3944444-4-4444-4-4-4-41-211-2111111111-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000
χ4044444-4-4444-4-4-4-41-211-2111111111-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-222-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000
χ4144444-4-4444-4-4-4-4-21-2-21-2-2-2-2-2-2-2-2-2112222222222221111-1-1-1-1-1-100000000000000000000000000000000000000000002-2-1-1110000
χ4244444-4-4444-4-4-4-4-21-2-21-2-2-2-2-2-2-2-2-2112222222222221111-1-1-1-1-1-10000000000000000000000000000000000000000000-2211-1-10000
χ434444-244-2-2-2-2-2-2-21-2−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-21111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i321111-2-211112222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000000000
χ444444-244-2-2-2-2-2-2-21-2−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-21111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i321111-2-21111-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000000000
χ454444-244-2-2-2-2-2-2-21-2−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-21111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i321111-2-211112222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000000000
χ464444-244-2-2-2-2-2-2-21-2−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-21111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i321111-2-21111-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000000000
χ474444-2-4-4-2-2-222221-2−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i32111122-1-1-1-122-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000000000
χ484444-2-4-4-2-2-222221-2−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i321+3i321−3i32111122-1-1-1-1-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000000000
χ494444-2-4-4-2-2-222221-2−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i32111122-1-1-1-122-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000000000
χ504444-2-4-4-2-2-222221-2−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i321−3i321+3i32111122-1-1-1-1-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000000000
χ5144-4-4400-44-400001-211-2-1-1-1-11-1-111223i−3i3i−3i3i−3i−3i3i−3i3i3i−3i-22-22000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i33−33−33−33−33−33−300000000000000000
χ5244-4-4400-44-400001-211-2-1-1-1-11-1-111223i−3i3i−3i3i−3i−3i3i−3i3i3i−3i-22-22000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−33−33−33−33−33−3300000000000000000
χ5344-4-4400-44-400001-211-2-1-1-1-11-1-11122−3i3i−3i3i−3i3i3i−3i3i−3i−3i3i-22-22000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−33−33−33−33−33−3300000000000000000
χ5444-4-4400-44-400001-211-2-1-1-1-11-1-11122−3i3i−3i3i−3i3i3i−3i3i−3i−3i3i-22-22000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i33−33−33−33−33−33−300000000000000000
χ5544-4-4400-44-4000044444-4-4-4-44-4-444-4-40000000000004-44-400000000000000000000000000000000000000000000000000000000000
χ5644-4-4-2002-2223−23−23231-2−1−3i32−1+3i32-2-11+3i321−3i32-111+3i321−3i32−1−3i32−1+3i32223i−3i3i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ221-11-100−333−3000000000000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i323−33−32ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200000000000000000
χ5744-4-4-2002-2223−23−23231-2−1−3i32−1+3i32-2-11+3i321−3i32-111+3i321−3i32−1−3i32−1+3i32223i−3i3i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ221-11-100−333−3000000000000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32−33−33−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200000000000000000
χ5844-4-4-2002-2223−23−23231-2−1+3i32−1−3i32-2-11−3i321+3i32-111−3i321+3i32−1+3i32−1−3i3222−3i3i−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ221-11-100−333−3000000000000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32−33−33ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200000000000000000
χ5944-4-4-2002-2223−23−23231-2−1+3i32−1−3i32-2-11−3i321+3i32-111−3i321+3i32−1+3i32−1−3i3222−3i3i−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ221-11-100−333−3000000000000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i323−33−3−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200000000000000000
χ6044-4-4-2002-2223−23−232344-2-24-422-4422-2-2-4-400002323−23−23−23−232323-22-220023−23−232300000000000000000000000000000000000000000000000000000
χ6144-4-4-2002-22−232323−231-2−1−3i32−1+3i32-2-11+3i321−3i32-111+3i321−3i32−1−3i32−1+3i3222−3i3i−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ221-11-1003−3−33000000000000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32−33−33−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200000000000000000
χ6244-4-4-2002-22−232323−231-2−1−3i32−1+3i32-2-11+3i321−3i32-111+3i321−3i32−1−3i32−1+3i3222−3i3i−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ221-11-1003−3−33000000000000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i323−33−32ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200000000000000000
χ6344-4-4-2002-22−232323−231-2−1+3i32−1−3i32-2-11−3i321+3i32-111−3i321+3i32−1+3i32−1−3i32223i−3i3i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ221-11-1003−3−33000000000000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i323−33−3−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200000000000000000
χ6444-4-4-2002-22−232323−231-2−1+3i32−1−3i32-2-11−3i321+3i32-111−3i321+3i32−1+3i32−1−3i32223i−3i3i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ221-11-1003−3−33000000000000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32−33−33ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200000000000000000
χ6544-4-4-2002-22−232323−2344-2-24-422-4422-2-2-4-40000−23−2323232323−23−23-22-2200−232323−2300000000000000000000000000000000000000000000000000000
χ664-44-444i−4i4-4-44i4i−4i−4i1-2112-1-1-11-111-1-1-22ii−i−iiiii−i−i−i−i-2-222−2i2i−2i−2i2i2i0000000000003−3−333−3−333−3−33i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000000
χ674-44-444i−4i4-4-44i4i−4i−4i1-2112-1-1-11-111-1-1-22ii−i−iiiii−i−i−i−i-2-222−2i2i−2i−2i2i2i000000000000−333−3−333−3−333−3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000000
χ684-44-444i−4i4-4-44i4i−4i−4i-21-2-2-1222-22-2-2221-1−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i11-1-1i−iii−i−i000000000000000000000000000000000000000000000−i3i33−30000
χ694-44-444i−4i4-4-44i4i−4i−4i-21-2-2-1222-22-2-2221-1−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i11-1-1i−iii−i−i000000000000000000000000000000000000000000000i3−i3−330000
χ704-44-44−4i4i4-4-4−4i−4i4i4i1-2112-1-1-11-111-1-1-22−i−iii−i−i−i−iiiii-2-2222i−2i2i2i−2i−2i0000000000003−3−333−3−333−3−33−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000000
χ714-44-44−4i4i4-4-4−4i−4i4i4i1-2112-1-1-11-111-1-1-22−i−iii−i−i−i−iiiii-2-2222i−2i2i2i−2i−2i000000000000−333−3−333−3−333−3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000000
χ724-44-44−4i4i4-4-4−4i−4i4i4i-21-2-2-1222-22-2-2221-12i2i−2i−2i2i2i2i2i−2i−2i−2i−2i11-1-1−ii−i−iii000000000000000000000000000000000000000000000−i3i3−330000
χ734-44-44−4i4i4-4-4−4i−4i4i4i-21-2-2-1222-22-2-2221-12i2i−2i−2i2i2i2i2i−2i−2i−2i−2i11-1-1−ii−i−iii000000000000000000000000000000000000000000000i3−i33−30000
χ744-44-4-24i−4i-222−2i−2i2i2i1-2−1−3i32−1+3i322-11+3i321−3i321-1−1−3i32−1+3i321+3i321−3i32-22ii−i−i−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ2211-1-1−2i2iii−i−i0000000000003−3−332ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22i3−i3−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i3200000000000000000
χ754-44-4-24i−4i-222−2i−2i2i2i1-2−1−3i32−1+3i322-11+3i321−3i321-1−1−3i32−1+3i321+3i321−3i32-22ii−i−i−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ2211-1-1−2i2iii−i−i000000000000−333−3−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−i3i3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i3200000000000000000
χ764-44-4-24i−4i-222−2i−2i2i2i1-2−1+3i32−1−3i322-11−3i321+3i321-1−1+3i32−1−3i321−3i321+3i32-22ii−i−i2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ2211-1-1−2i2iii−i−i0000000000003−3−33−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i3200000000000000000
χ774-44-4-24i−4i-222−2i−2i2i2i1-2−1+3i32−1−3i322-11−3i321+3i321-1−1+3i32−1−3i321−3i321+3i32-22ii−i−i2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ2211-1-1−2i2iii−i−i000000000000−333−3ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−i3i3i3−i33+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i3200000000000000000
χ784-44-4-24i−4i-222−2i−2i2i2i44-2-2-4-4224-4-2-2224-44i4i−4i−4i−2i−2i−2i−2i2i2i2i2i-2-2224i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000
χ794-44-4-2−4i4i-2222i2i−2i−2i1-2−1−3i32−1+3i322-11+3i321−3i321-1−1−3i32−1+3i321+3i321−3i32-22−i−iiiζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ2211-1-12i−2i−i−iii0000000000003−3−332ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−i3i3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i3200000000000000000
χ804-44-4-2−4i4i-2222i2i−2i−2i1-2−1−3i32−1+3i322-11+3i321−3i321-1−1−3i32−1+3i321+3i321−3i32-22−i−iiiζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ2211-1-12i−2i−i−iii000000000000−333−3−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22i3−i3−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i3200000000000000000
χ814-44-4-2−4i4i-2222i2i−2i−2i1-2−1+3i32−1−3i322-11−3i321+3i321-1−1+3i32−1−3i321−3i321+3i32-22−i−iii−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ2211-1-12i−2i−i−iii0000000000003−3−33−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−i3i3i3−i33+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i3200000000000000000
χ824-44-4-2−4i4i-2222i2i−2i−2i1-2−1+3i32−1−3i322-11−3i321+3i321-1−1+3i32−1−3i321−3i321+3i32-22−i−iii−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ2211-1-12i−2i−i−iii000000000000−333−3ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i3200000000000000000
χ834-44-4-2−4i4i-2222i2i−2i−2i44-2-2-4-4224-4-2-2224-4−4i−4i4i4i2i2i2i2i−2i−2i−2i−2i-2-222−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000
χ844-4-44400-4-4400001-2112111-1-1-1-1-1-12-23-3-333-3-333-3-33-222-20000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii00000000000000000
χ854-4-44400-4-4400001-2112111-1-1-1-1-1-12-23-3-333-3-333-3-33-222-2000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i00000000000000000
χ864-4-44400-4-4400001-2112111-1-1-1-1-1-12-2-333-3-333-3-333-3-222-20000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i00000000000000000
χ874-4-44400-4-4400001-2112111-1-1-1-1-1-12-2-333-3-333-3-333-3-222-2000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii00000000000000000
χ884-4-44-20022-2−2i32i3−2i32i31-2−1−3i32−1+3i3221−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322-23-3-33−3−i323−i323+i32−3+i32−3−i323−i323+i32−3+i321-1-1100i3−i3i3−i32i−2i2i−2i2ζ22−2ζ222ζ14−2ζ142ζ22−2ζ222ζ14−2ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1400000000000000000
χ894-4-44-20022-2−2i32i3−2i32i31-2−1−3i32−1+3i3221−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322-23-3-33−3−i323−i323+i32−3+i32−3−i323−i323+i32−3+i321-1-1100i3−i3i3−i3−2i2i−2i2i−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1400000000000000000
χ904-4-44-20022-2−2i32i3−2i32i31-2−1+3i32−1−3i3221−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322-2-333-33−i32−3−i32−3+i323+i323−i32−3−i32−3+i323+i321-1-1100i3−i3i3−i32i−2i−2i2i2ζ14−2ζ142ζ22−2ζ22−2ζ142ζ14−2ζ222ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2200000000000000000
χ914-4-44-20022-2−2i32i3−2i32i31-2−1+3i32−1−3i3221−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322-2-333-33−i32−3−i32−3+i323+i323−i32−3−i32−3+i323+i321-1-1100i3−i3i3−i3−2i2i2i−2i−2ζ142ζ14−2ζ222ζ222ζ14−2ζ142ζ22−2ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2200000000000000000
χ924-4-44-20022-22i3−2i32i3−2i31-2−1−3i32−1+3i3221−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322-2-333-33+i32−3+i32−3−i323−i323+i32−3+i32−3−i323−i321-1-1100−i3i3−i3i32i−2i−2i2i2ζ22−2ζ222ζ14−2ζ14−2ζ222ζ22−2ζ142ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1400000000000000000
χ934-4-44-20022-22i3−2i32i3−2i31-2−1−3i32−1+3i3221−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322-2-333-33+i32−3+i32−3−i323−i323+i32−3+i32−3−i323−i321-1-1100−i3i3−i3i3−2i2i2i−2i−2ζ222ζ22−2ζ142ζ142ζ22−2ζ222ζ14−2ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1400000000000000000
χ944-4-44-20022-22i3−2i32i3−2i31-2−1+3i32−1−3i3221−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322-23-3-33−3+i323+i323−i32−3−i32−3+i323+i323−i32−3−i321-1-1100−i3i3−i3i32i−2i2i−2i2ζ14−2ζ142ζ22−2ζ222ζ14−2ζ142ζ22−2ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2200000000000000000
χ954-4-44-20022-22i3−2i32i3−2i31-2−1+3i32−1−3i3221−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322-23-3-33−3+i323+i323−i32−3−i32−3+i323+i323−i32−3−i321-1-1100−i3i3−i3i3−2i2i−2i2i−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2200000000000000000
χ968888-488-4-4-4-4-4-4-4-42222-422-4-4222222-4-4-4-422222222-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000
χ978888-4-8-8-4-4-44444-42222-422-4-42222224444-2-2-2-2-2-2-2-2-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000
χ9888-8-8800-88-80000-42-4-424444-444-4-4-2-20000000000002-22-200000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4004-4443−43−4343-422224-2-24-4-2-222-2-20000−23−2323232323−23−23-11-11003−3−3300000000000000000000000000000000000000000000000000000
χ10088-8-8-4004-44−434343−43-422224-2-24-4-2-222-2-200002323−23−23−23−232323-11-1100−333−300000000000000000000000000000000000000000000000000000
χ1018-88-8-48i−8i-444−4i−4i4i4i-4222-24-2-2-4422-2-22-2−4i−4i4i4i2i2i2i2i−2i−2i−2i−2i-1-1112i−2i−i−iii00000000000000000000000000000000000000000000000000000
χ1028-88-8-4−8i8i-4444i4i−4i−4i-4222-24-2-2-4422-2-22-24i4i−4i−4i−2i−2i−2i−2i2i2i2i2i-1-111−2i2iii−i−i00000000000000000000000000000000000000000000000000000
χ1038-8-88800-8-880000-42-4-4-2-4-4-4444444-220000000000002-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-40044-4−4i34i3−4i34i3-4222-2-42244-2-2-2-2-2200002i32i3−2i3−2i32i32i3−2i3−2i3-111-100−i3i3−i3i300000000000000000000000000000000000000000000000000000
χ1058-8-88-40044-44i3−4i34i3−4i3-4222-2-42244-2-2-2-2-220000−2i3−2i32i32i3−2i3−2i32i32i3-111-100i3−i3i3−i300000000000000000000000000000000000000000000000000000

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