Finite Group Databasebeta

← Group #84404

Character table — Group #84404

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order122222224444444422224444444444444422443666666612121212121212126666121212121212121212121212121266121236666666121212121212121266661212121212121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-11-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-11-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-11-1
χ6111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-11
χ7111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-11111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-11111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-11
χ8111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11-1
χ911111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ1011111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-111
χ1211111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-11
χ1411111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-11
χ1722-22-22-2-22i2i−2i−2i0000002-20000000000002i−2i000022-22-22-2-22i2i−2i−2i0000002-20000000000002i−2i000022-22-22-2-22i2i−2i−2i0000002-20000000000002i−2i0000
χ1822-22-22-2-22i2i−2i−2i000000-22000000000000−2i2i000022-22-22-2-22i2i−2i−2i000000-22000000000000−2i2i000022-22-22-2-22i2i−2i−2i000000-22000000000000−2i2i0000
χ1922-22-22-2-2−2i−2i2i2i0000002-2000000000000−2i2i000022-22-22-2-2−2i−2i2i2i0000002-2000000000000−2i2i000022-22-22-2-2−2i−2i2i2i0000002-2000000000000−2i2i0000
χ2022-22-22-2-2−2i−2i2i2i000000-220000000000002i−2i000022-22-22-2-2−2i−2i2i2i000000-220000000000002i−2i000022-22-22-2-2−2i−2i2i2i000000-220000000000002i−2i0000
χ2122-2-2-2-222000022-2-20000002-2002-2000000000022-2-2-2-222000022-2-20000002-2002-2000000000022-2-2-2-222000022-2-20000002-2002-20000000000
χ2222-2-2-2-222000022-2-2000000-2200-22000000000022-2-2-2-222000022-2-2000000-2200-22000000000022-2-2-2-222000022-2-2000000-2200-220000000000
χ2322-2-2-2-2220000-2-2220000002-200-22000000000022-2-2-2-2220000-2-2220000002-200-22000000000022-2-2-2-2220000-2-2220000002-200-220000000000
χ2422-2-2-2-2220000-2-222000000-22002-2000000000022-2-2-2-2220000-2-222000000-22002-2000000000022-2-2-2-2220000-2-222000000-22002-20000000000
χ252-222-2-22-22i−2i2i−2i00002-20000000000002i−2i0000002-222-2-22-22i−2i2i−2i00002-20000000000002i−2i0000002-222-2-22-22i−2i2i−2i00002-20000000000002i−2i000000
χ262-222-2-22-22i−2i2i−2i0000-22000000000000−2i2i0000002-222-2-22-22i−2i2i−2i0000-22000000000000−2i2i0000002-222-2-22-22i−2i2i−2i0000-22000000000000−2i2i000000
χ272-222-2-22-2−2i2i−2i2i00002-2000000000000−2i2i0000002-222-2-22-2−2i2i−2i2i00002-2000000000000−2i2i0000002-222-2-22-2−2i2i−2i2i00002-2000000000000−2i2i000000
χ282-222-2-22-2−2i2i−2i2i0000-220000000000002i−2i0000002-222-2-22-2−2i2i−2i2i0000-220000000000002i−2i0000002-222-2-22-2−2i2i−2i2i0000-220000000000002i−2i000000
χ292-22-2-22-2200002-22-2000000002-2002-2000000002-22-2-22-2200002-22-2000000002-2002-2000000002-22-2-22-2200002-22-2000000002-2002-200000000
χ302-22-2-22-2200002-22-200000000-2200-22000000002-22-2-22-2200002-22-200000000-2200-22000000002-22-2-22-2200002-22-200000000-2200-2200000000
χ312-22-2-22-220000-22-22000000002-200-22000000002-22-2-22-220000-22-22000000002-200-22000000002-22-2-22-220000-22-22000000002-200-2200000000
χ322-22-2-22-220000-22-2200000000-22002-2000000002-22-2-22-220000-22-2200000000-22002-2000000002-22-2-22-220000-22-2200000000-22002-200000000
χ332-2-222-2-222-2-222-2-2200002-200000000000000002-2-222-2-222-2-222-2-2200002-200000000000000002-2-222-2-222-2-222-2-2200002-20000000000000000
χ342-2-222-2-222-2-22-222-20000-2200000000000000002-2-222-2-222-2-22-222-20000-2200000000000000002-2-222-2-222-2-22-222-20000-220000000000000000
χ352-2-222-2-22-222-22-2-220000-2200000000000000002-2-222-2-22-222-22-2-220000-2200000000000000002-2-222-2-22-222-22-2-220000-220000000000000000
χ362-2-222-2-22-222-2-222-200002-200000000000000002-2-222-2-22-222-2-222-200002-200000000000000002-2-222-2-22-222-2-222-200002-20000000000000000
χ37444-44-4-4-4000000000000000000000000000000444-44-4-4-4000000000000000000000000000000444-44-4-4-4000000000000000000000000000000
χ384-4-4-4444-40000000000000000000000000000004-4-4-4444-40000000000000000000000000000004-4-4-4444-4000000000000000000000000000000
χ3911111111111111111111111111111111111111−1+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
χ401111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−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−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ411111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1−1+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+i321−i321−i321−i321−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−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+i321+i321+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+i321+i321+i32
χ421111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ43111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-11-1−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ44111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-11−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ45111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-11−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ46111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11-1−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ4711111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4811111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+i32−1+i321−i321−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−i321+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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4911111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ5011111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ5111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-11−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32
χ5211111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ5311111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ5411111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i321+i321+i32−1−i32
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χ82111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-11−1−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ83111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-11−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ84111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11-1−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ8511111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ8611111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+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−i32−1−i321+i321+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+i321−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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ8711111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ8811111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ8911111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-11−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32
χ9011111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ9111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ9211111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+i32−1+i32−1+i321−i321−i32−1+i32
χ9322-22-22-2-22i2i−2i−2i0000002-20000000000002i−2i0000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i32ζ112ζ11−2ζ11−2ζ11000000−1−i31+i30000000000002ζ11−2ζ110000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i32ζ72ζ7−2ζ7−2ζ7000000−1+i31−i30000000000002ζ7−2ζ70000
χ9422-22-22-2-22i2i−2i−2i000000-22000000000000−2i2i0000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i32ζ112ζ11−2ζ11−2ζ110000001+i3−1−i3000000000000−2ζ112ζ110000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i32ζ72ζ7−2ζ7−2ζ70000001−i3−1+i3000000000000−2ζ72ζ70000
χ9522-22-22-2-2−2i−2i2i2i0000002-2000000000000−2i2i0000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−2ζ11−2ζ112ζ112ζ11000000−1−i31+i3000000000000−2ζ112ζ110000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−2ζ7−2ζ72ζ72ζ7000000−1+i31−i3000000000000−2ζ72ζ70000
χ9622-22-22-2-2−2i−2i2i2i000000-220000000000002i−2i0000−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−2ζ11−2ζ112ζ112ζ110000001+i3−1−i30000000000002ζ11−2ζ110000−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−2ζ7−2ζ72ζ72ζ70000001−i3−1+i30000000000002ζ7−2ζ70000
χ9722-2-2-2-222000022-2-20000002-2002-20000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−1−i3−1−i31+i31+i3000000−1−i31+i300−1−i31+i30000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−1+i3−1+i31−i31−i3000000−1+i31−i300−1+i31−i30000000000
χ9822-2-2-2-222000022-2-2000000-2200-220000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−1−i3−1−i31+i31+i30000001+i3−1−i3001+i3−1−i30000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−1+i3−1+i31−i31−i30000001−i3−1+i3001−i3−1+i30000000000
χ9922-2-2-2-2220000-2-2220000002-200-220000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i31+i3−1−i3−1−i3000000−1−i31+i3001+i3−1−i30000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i31−i3−1+i3−1+i3000000−1+i31−i3001−i3−1+i30000000000
χ10022-2-2-2-2220000-2-222000000-22002-20000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i31+i3−1−i3−1−i30000001+i3−1−i300−1−i31+i30000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i31−i3−1+i3−1+i30000001−i3−1+i300−1+i31−i30000000000
χ1012-222-2-22-22i−2i2i−2i00002-20000000000002i−2i000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000−1−i31+i30000000000002ζ11−2ζ11000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000−1+i31−i30000000000002ζ7−2ζ7000000
χ1022-222-2-22-22i−2i2i−2i0000-22000000000000−2i2i000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ1100001+i3−1−i3000000000000−2ζ112ζ11000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ700001−i3−1+i3000000000000−2ζ72ζ7000000
χ1032-222-2-22-2−2i2i−2i2i00002-2000000000000−2i2i000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000−1−i31+i3000000000000−2ζ112ζ11000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000−1+i31−i3000000000000−2ζ72ζ7000000
χ1042-222-2-22-2−2i2i−2i2i0000-220000000000002i−2i000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ1100001+i3−1−i30000000000002ζ11−2ζ11000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ700001−i3−1+i30000000000002ζ7−2ζ7000000
χ1052-22-2-22-2200002-22-2000000002-2002-200000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i3−1−i31+i300000000−1−i31+i300−1−i31+i300000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i3−1+i31−i300000000−1+i31−i300−1+i31−i300000000
χ1062-22-2-22-2200002-22-200000000-2200-2200000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i3−1−i31+i3000000001+i3−1−i3001+i3−1−i300000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i3−1+i31−i3000000001−i3−1+i3001−i3−1+i300000000
χ1072-22-2-22-220000-22-22000000002-200-2200000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300001+i3−1−i31+i3−1−i300000000−1−i31+i3001+i3−1−i300000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300001−i3−1+i31−i3−1+i300000000−1+i31−i3001−i3−1+i300000000
χ1082-22-2-22-220000-22-2200000000-22002-200000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300001+i3−1−i31+i3−1−i3000000001+i3−1−i300−1−i31+i300000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300001−i3−1+i31−i3−1+i3000000001−i3−1+i300−1+i31−i300000000
χ1092-2-222-2-222-2-222-2-2200002-20000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000−1−i31+i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000−1+i31−i30000000000000000
χ1102-2-222-2-222-2-22-222-20000-220000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300001+i3−1−i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300001−i3−1+i30000000000000000
χ1112-2-222-2-22-222-22-2-220000-220000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300001+i3−1−i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300001−i3−1+i30000000000000000
χ1122-2-222-2-22-222-2-222-200002-20000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000−1−i31+i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000−1+i31−i30000000000000000
χ113444-44-4-4-4000000000000000000000000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i3000000000000000000000000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i3000000000000000000000000000000
χ1144-4-4-4444-4000000000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i3000000000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i3000000000000000000000000000000

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