Finite Group Databasebeta

← Group #10592113

Character table — Group #10592113

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222244444444444444444121212122424111122222222222244444444444444444121212122424111122222222222244444444444444444121212122424
order122234444666121212122244466661212121212121212888824366631212121266612121212661212126666121212121212121224242424612366631212121266612121212661212126666121212121212121224242424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-11111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-11111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ511111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-11-111111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-11-111111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-11-1
χ611111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-11
χ711111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-11
χ811111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-111111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-111111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-1
χ92222222-2-2222222200-2000000-2-2-2-200000000002222222-2-2222222200-2000000-2-2-2-200000000002222222-2-2222222200-2000000-2-2-2-20000000000
χ1022222-2-2-2-2222-2-2-2-2002000000-2-222000000000022222-2-2-2-2222-2-2-2-2002000000-2-222000000000022222-2-2-2-2222-2-2-2-2002000000-2-2220000000000
χ112222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000002222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000002222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ122222-12222-1-1-1-1-1-1-1-2-22-2-21111-1-1-1-111110000002222-12222-1-1-1-1-1-1-1-2-22-2-21111-1-1-1-111110000002222-12222-1-1-1-1-1-1-1-2-22-2-21111-1-1-1-11111000000
χ132222-122-2-2-1-1-1-1-1-1-100-200−i3−i3i3i31111−i3−i3i3i30000002222-122-2-2-1-1-1-1-1-1-100-200−i3−i3i3i31111−i3−i3i3i30000002222-122-2-2-1-1-1-1-1-1-100-200−i3−i3i3i31111−i3−i3i3i3000000
χ142222-122-2-2-1-1-1-1-1-1-100-200i3i3−i3−i31111i3i3−i3−i30000002222-122-2-2-1-1-1-1-1-1-100-200i3i3−i3−i31111i3i3−i3−i30000002222-122-2-2-1-1-1-1-1-1-100-200i3i3−i3−i31111i3i3−i3−i3000000
χ152222-1-2-222-1-1-1111122-2-2-2-1-1-1-1-1-11111110000002222-1-2-222-1-1-1111122-2-2-2-1-1-1-1-1-11111110000002222-1-2-222-1-1-1111122-2-2-2-1-1-1-1-1-1111111000000
χ162222-1-2-222-1-1-11111-2-2-2221111-1-111-1-1-1-10000002222-1-2-222-1-1-11111-2-2-2221111-1-111-1-1-1-10000002222-1-2-222-1-1-11111-2-2-2221111-1-111-1-1-1-1000000
χ172222-1-2-2-2-2-1-1-1111100200−i3−i3i3i311-1-1i3i3−i3−i30000002222-1-2-2-2-2-1-1-1111100200−i3−i3i3i311-1-1i3i3−i3−i30000002222-1-2-2-2-2-1-1-1111100200−i3−i3i3i311-1-1i3i3−i3−i3000000
χ182222-1-2-2-2-2-1-1-1111100200i3i3−i3−i311-1-1−i3−i3i3i30000002222-1-2-2-2-2-1-1-1111100200i3i3−i3−i311-1-1−i3−i3i3i30000002222-1-2-2-2-2-1-1-1111100200i3i3−i3−i311-1-1−i3−i3i3i3000000
χ1922-2-222i−2i002-2-22i2i−2i−2i000000000000000002−2−i2i20022-2-222i−2i002-2-22i2i−2i−2i000000000000000002−2−i2i20022-2-222i−2i002-2-22i2i−2i−2i000000000000000002−2−i2i200
χ2022-2-222i−2i002-2-22i2i−2i−2i00000000000000000−22i2−i20022-2-222i−2i002-2-22i2i−2i−2i00000000000000000−22i2−i20022-2-222i−2i002-2-22i2i−2i−2i00000000000000000−22i2−i200
χ2122-2-22−2i2i002-2-2−2i−2i2i2i000000000000000002−2i2−i20022-2-22−2i2i002-2-2−2i−2i2i2i000000000000000002−2i2−i20022-2-22−2i2i002-2-2−2i−2i2i2i000000000000000002−2i2−i200
χ2222-2-22−2i2i002-2-2−2i−2i2i2i00000000000000000−22−i2i20022-2-22−2i2i002-2-2−2i−2i2i2i00000000000000000−22−i2i20022-2-22−2i2i002-2-2−2i−2i2i2i00000000000000000−22−i2i200
χ232-2-222002-2-22-200000002i−2i00002-2002i−2i2i−2i0000002-2-222002-2-22-200000002i−2i00002-2002i−2i2i−2i0000002-2-222002-2-22-200000002i−2i00002-2002i−2i2i−2i000000
χ242-2-222002-2-22-20000000−2i2i00002-200−2i2i−2i2i0000002-2-222002-2-22-20000000−2i2i00002-200−2i2i−2i2i0000002-2-222002-2-22-20000000−2i2i00002-200−2i2i−2i2i000000
χ252-2-22200-22-22-200002-20002-22-2-220000000000002-2-22200-22-22-200002-20002-22-2-220000000000002-2-22200-22-22-200002-20002-22-2-22000000000000
χ262-2-22200-22-22-20000-22000-22-22-220000000000002-2-22200-22-22-20000-22000-22-22-220000000000002-2-22200-22-22-20000-22000-22-22-22000000000000
χ272-2-22-1002-21-113−33−30002i−2i−i3i3i3−i3-113−3−ii−ii0000002-2-22-1002-21-113−33−30002i−2i−i3i3i3−i3-113−3−ii−ii0000002-2-22-1002-21-113−33−30002i−2i−i3i3i3−i3-113−3−ii−ii000000
χ282-2-22-1002-21-113−33−3000−2i2ii3−i3−i3i3-113−3i−ii−i0000002-2-22-1002-21-113−33−3000−2i2ii3−i3−i3i3-113−3i−ii−i0000002-2-22-1002-21-113−33−3000−2i2ii3−i3−i3i3-113−3i−ii−i000000
χ292-2-22-1002-21-11−33−330002i−2ii3−i3−i3i3-11−33−ii−ii0000002-2-22-1002-21-11−33−330002i−2ii3−i3−i3i3-11−33−ii−ii0000002-2-22-1002-21-11−33−330002i−2ii3−i3−i3i3-11−33−ii−ii000000
χ302-2-22-1002-21-11−33−33000−2i2i−i3i3i3−i3-11−33i−ii−i0000002-2-22-1002-21-11−33−33000−2i2i−i3i3i3−i3-11−33i−ii−i0000002-2-22-1002-21-11−33−33000−2i2i−i3i3i3−i3-11−33i−ii−i000000
χ312-2-22-100-221-113−33−32-2000-11-111-1−333−3−330000002-2-22-100-221-113−33−32-2000-11-111-1−333−3−330000002-2-22-100-221-113−33−32-2000-11-111-1−333−3−33000000
χ322-2-22-100-221-113−33−3-220001-11-11-1−33−333−30000002-2-22-100-221-113−33−3-220001-11-11-1−33−333−30000002-2-22-100-221-113−33−3-220001-11-11-1−33−333−3000000
χ332-2-22-100-221-11−33−332-2000-11-111-13−3−333−30000002-2-22-100-221-11−33−332-2000-11-111-13−3−333−30000002-2-22-100-221-11−33−332-2000-11-111-13−3−333−3000000
χ342-2-22-100-221-11−33−33-220001-11-11-13−33−3−330000002-2-22-100-221-11−33−33-220001-11-11-13−33−3−330000002-2-22-100-221-11−33−33-220001-11-11-13−33−3−33000000
χ3544-4-4-24i−4i00-222−2i−2i2i2i0000000000000000000000044-4-4-24i−4i00-222−2i−2i2i2i0000000000000000000000044-4-4-24i−4i00-222−2i−2i2i2i00000000000000000000000
χ3644-4-4-2−4i4i00-2222i2i−2i−2i0000000000000000000000044-4-4-2−4i4i00-2222i2i−2i−2i0000000000000000000000044-4-4-2−4i4i00-2222i2i−2i−2i00000000000000000000000
χ374-44-440000-4-440000000000000000000000000004-44-440000-4-440000000000000000000000000004-44-440000-4-44000000000000000000000000000
χ384-44-4-2000022-2−2i32i32i3−2i3000000000000000000000004-44-4-2000022-2−2i32i32i3−2i3000000000000000000000004-44-4-2000022-2−2i32i32i3−2i300000000000000000000000
χ394-44-4-2000022-22i3−2i3−2i32i3000000000000000000000004-44-4-2000022-22i3−2i3−2i32i3000000000000000000000004-44-4-2000022-22i3−2i3−2i32i300000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ421111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ431111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4411111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ4511111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ4611111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ4711111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ482222222-2-2222222200-2000000-2-2-2-20000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i30000001−i31−i31−i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i30000001+i31+i31+i31+i30000000000
χ4922222-2-2-2-2222-2-2-2-2002000000-2-2220000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i30000001−i31−i3−1+i3−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i30000001+i31+i3−1−i3−1−i30000000000
χ502222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ512222-12222-1-1-1-1-1-1-1-2-22-2-21111-1-1-1-11111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ522222-122-2-2-1-1-1-1-1-1-100-200−i3−i3i3i31111−i3−i3i3i3000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i32001−i3003+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i32001+i300−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i32000000
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χ542222-1-2-222-1-1-1111122-2-2-2-1-1-1-1-1-1111111000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000
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χ811111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ821111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ8311111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ8411111-1-111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ8511111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ8611111-1-111111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ872222222-2-2222222200-2000000-2-2-2-20000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i30000001+i31+i31+i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i30000001−i31−i31−i31−i30000000000
χ8822222-2-2-2-2222-2-2-2-2002000000-2-2220000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i30000001+i31+i3−1−i3−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i30000001−i31−i3−1+i3−1+i30000000000
χ892222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ902222-12222-1-1-1-1-1-1-1-2-22-2-21111-1-1-1-11111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ912222-122-2-2-1-1-1-1-1-1-100-200−i3−i3i3i31111−i3−i3i3i3000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i32001+i300−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i32001−i3003+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i32000000
χ922222-122-2-2-1-1-1-1-1-1-100-200i3i3−i3−i31111i3i3−i3−i3000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i32001+i3003−i323−i32−3+i32−3+i32−1−i32−1−i32−1−i32−1−i323−i323−i32−3+i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i32001−i300−3−i32−3−i323+i323+i32−1+i32−1+i32−1+i32−1+i32−3−i32−3−i323+i323+i32000000
χ932222-1-2-222-1-1-1111122-2-2-2-1-1-1-1-1-1111111000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000
χ942222-1-2-222-1-1-11111-2-2-2221111-1-111-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32000000
χ952222-1-2-2-2-2-1-1-1111100200−i3−i3i3i311-1-1i3i3−i3−i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i300−3+i32−3+i323−i323−i32−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3003+i323+i32−3−i32−3−i32−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i32000000
χ962222-1-2-2-2-2-1-1-1111100200i3i3−i3−i311-1-1−i3−i3i3i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3003−i323−i32−3+i32−3+i32−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i300−3−i32−3−i323+i323+i32−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i32000000
χ9722-2-222i−2i002-2-22i2i−2i−2i000000000000000002−2−i2i200−1−i3−1−i31+i31+i3−1−i32ζ22−2ζ2200−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ1300−1+i3−1+i31−i31−i3−1+i32ζ14−2ζ1400−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ2300
χ9822-2-222i−2i002-2-22i2i−2i−2i00000000000000000−22i2−i200−1−i3−1−i31+i31+i3−1−i32ζ22−2ζ2200−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ1300−1+i3−1+i31−i31−i3−1+i32ζ14−2ζ1400−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ2300
χ9922-2-22−2i2i002-2-2−2i−2i2i2i000000000000000002−2i2−i200−1−i3−1−i31+i31+i3−1−i3−2ζ222ζ2200−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ2200000000000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ1300−1+i3−1+i31−i31−i3−1+i3−2ζ142ζ1400−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ1400000000000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ2300
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χ1012-2-222002-2-22-200000002i−2i00002-2002i−2i2i−2i000000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i3−1−i31+i300000002ζ22−2ζ220000−1−i31+i3002ζ22−2ζ222ζ22−2ζ22000000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i3−1+i31−i300000002ζ14−2ζ140000−1+i31−i3002ζ14−2ζ142ζ14−2ζ14000000
χ1022-2-222002-2-22-20000000−2i2i00002-200−2i2i−2i2i000000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i3−1−i31+i30000000−2ζ222ζ220000−1−i31+i300−2ζ222ζ22−2ζ222ζ22000000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i3−1+i31−i30000000−2ζ142ζ140000−1+i31−i300−2ζ142ζ14−2ζ142ζ14000000
χ1032-2-22200-22-22-200002-20002-22-2-22000000000000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i31+i30000−1−i31+i3000−1−i31+i3−1−i31+i31+i3−1−i3000000000000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i31−i30000−1+i31−i3000−1+i31−i3−1+i31−i31−i3−1+i3000000000000
χ1042-2-22200-22-22-20000-22000-22-22-22000000000000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i31+i300001+i3−1−i30001+i3−1−i31+i3−1−i31+i3−1−i3000000000000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i31−i300001−i3−1+i30001−i3−1+i31−i3−1+i31−i3−1+i3000000000000
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χ1062-2-22-1002-21-113−33−3000−2i2ii3−i3−i3i3-113−3i−ii−i000000−1−i31+i31+i3−1−i31+i3200−1−i31+i3−1−i321+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000−2ζ222ζ223−i32−3+i32−3+i323−i321+i32−1−i322ζ14+ζ22−2ζ14−ζ22ζ22−ζ22ζ22−ζ22000000−1+i31−i31−i3−1+i31−i3200−1+i31−i3−1+i321−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000−2ζ142ζ14−3−i323+i323+i32−3−i321−i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ14−ζ14ζ14−ζ14000000
χ1072-2-22-1002-21-11−33−330002i−2ii3−i3−i3i3-11−33−ii−ii000000−1−i31+i31+i3−1−i31+i3200−1−i31+i3−1−i321+i32−1−i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220002ζ22−2ζ223−i32−3+i32−3+i323−i321+i32−1−i32−2ζ14−ζ222ζ14+ζ22−ζ22ζ22−ζ22ζ22000000−1+i31−i31−i3−1+i31−i3200−1+i31−i3−1+i321−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220002ζ14−2ζ14−3−i323+i323+i32−3−i321−i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ14ζ14−ζ14ζ14000000
χ1082-2-22-1002-21-11−33−33000−2i2i−i3i3i3−i3-11−33i−ii−i000000−1−i31+i31+i3−1−i31+i3200−1−i31+i3−1−i321+i32−1−i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000−2ζ222ζ22−3+i323−i323−i32−3+i321+i32−1−i32−2ζ14−ζ222ζ14+ζ22ζ22−ζ22ζ22−ζ22000000−1+i31−i31−i3−1+i31−i3200−1+i31−i3−1+i321−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000−2ζ142ζ143+i32−3−i32−3−i323+i321−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14−ζ14ζ14−ζ14000000
χ1092-2-22-100-221-113−33−32-2000-11-111-1−333−3−33000000−1−i31+i31+i3−1−i31+i32001+i3−1−i3−1−i321+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−1−i31+i30001+i32−1−i321+i32−1−i32−1−i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000−1+i31−i31−i3−1+i31−i32001−i3−1+i3−1+i321−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−1+i31−i30001−i32−1+i321−i32−1+i32−1+i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000
χ1102-2-22-100-221-113−33−3-220001-11-11-1−33−333−3000000−1−i31+i31+i3−1−i31+i32001+i3−1−i3−1−i321+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i3−1−i3000−1−i321+i32−1−i321+i32−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000−1+i31−i31−i3−1+i31−i32001−i3−1+i3−1+i321−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i3−1+i3000−1+i321−i32−1+i321−i32−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000
χ1112-2-22-100-221-11−33−332-2000-11-111-13−3−333−3000000−1−i31+i31+i3−1−i31+i32001+i3−1−i3−1−i321+i32−1−i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−1−i31+i30001+i32−1−i321+i32−1−i32−1−i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000−1+i31−i31−i3−1+i31−i32001−i3−1+i3−1+i321−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−1+i31−i30001−i32−1+i321−i32−1+i32−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000
χ1122-2-22-100-221-11−33−33-220001-11-11-13−33−3−33000000−1−i31+i31+i3−1−i31+i32001+i3−1−i3−1−i321+i32−1−i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ221+i3−1−i3000−1−i321+i32−1−i321+i32−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000−1+i31−i31−i3−1+i31−i32001−i3−1+i3−1+i321−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ221−i3−1+i3000−1+i321−i32−1+i321−i32−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000
χ11344-4-4-24i−4i00-222−2i−2i2i2i00000000000000000000000−2−2i3−2−2i32+2i32+2i31+i34ζ22−4ζ22001+i3−1−i3−1−i3−2ζ22−2ζ222ζ222ζ2200000000000000000000000−2+2i3−2+2i32−2i32−2i31−i34ζ14−4ζ14001−i3−1+i3−1+i3−2ζ14−2ζ142ζ142ζ1400000000000000000000000
χ11444-4-4-2−4i4i00-2222i2i−2i−2i00000000000000000000000−2−2i3−2−2i32+2i32+2i31+i3−4ζ224ζ22001+i3−1−i3−1−i32ζ222ζ22−2ζ22−2ζ2200000000000000000000000−2+2i3−2+2i32−2i32−2i31−i3−4ζ144ζ14001−i3−1+i3−1+i32ζ142ζ14−2ζ14−2ζ1400000000000000000000000
χ1154-44-440000-4-44000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i300002+2i32+2i3−2−2i3000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i300002−2i32−2i3−2+2i3000000000000000000000000000
χ1164-44-4-2000022-2−2i32i32i3−2i300000000000000000000000−2−2i32+2i3−2−2i32+2i31+i30000−1−i3−1−i31+i3−3+i33−i33−i3−3+i300000000000000000000000−2+2i32−2i3−2+2i32−2i31−i30000−1+i3−1+i31−i33+i3−3−i3−3−i33+i300000000000000000000000
χ1174-44-4-2000022-22i3−2i3−2i32i300000000000000000000000−2−2i32+2i3−2−2i32+2i31+i30000−1−i3−1−i31+i33−i3−3+i3−3+i33−i300000000000000000000000−2+2i32−2i3−2+2i32−2i31−i30000−1+i3−1+i31−i3−3−i33+i33+i3−3−i300000000000000000000000

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