Finite Group Databasebeta

← Group #84273

Character table — Group #84273

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order122222222222444422444444444444444444443666666666661212121266121212121212121212121212121212121212121236666666666612121212661212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ41111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-11-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-11-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-1111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-1111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-11
χ1111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-11-1111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-11-1111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-11-11
χ1211111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-11-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-11-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11
χ172222-2-2-2-222-2-200002-22-20000000000000000002222-2-2-2-222-2-200002-22-20000000000000000002222-2-2-2-222-2-200002-22-2000000000000000000
χ182222-2-2-2-222-2-20000-22-220000000000000000002222-2-2-2-222-2-20000-22-220000000000000000002222-2-2-2-222-2-20000-22-22000000000000000000
χ192222-2-2-2-2-2-22200002-2-220000000000000000002222-2-2-2-2-2-22200002-2-220000000000000000002222-2-2-2-2-2-22200002-2-22000000000000000000
χ202222-2-2-2-2-2-2220000-222-20000000000000000002222-2-2-2-2-2-2220000-222-20000000000000000002222-2-2-2-2-2-2220000-222-2000000000000000000
χ2122-2-2-22-22000022-2-20000000000002-2002-2000022-2-2-22-22000022-2-20000000000002-2002-2000022-2-2-22-22000022-2-20000000000002-2002-20000
χ2222-2-2-22-22000022-2-2000000000000-2200-22000022-2-2-22-22000022-2-2000000000000-2200-22000022-2-2-22-22000022-2-2000000000000-2200-220000
χ2322-2-2-22-220000-2-2220000000000002-200-22000022-2-2-22-220000-2-2220000000000002-200-22000022-2-2-22-220000-2-2220000000000002-200-220000
χ2422-2-2-22-220000-2-222000000000000-22002-2000022-2-2-22-220000-2-222000000000000-22002-2000022-2-2-22-220000-2-222000000000000-22002-20000
χ252-22-2-2-22200002-22-200000000002-2002-20000002-22-2-2-22200002-22-200000000002-2002-20000002-22-2-2-22200002-22-200000000002-2002-2000000
χ262-22-2-2-22200002-22-20000000000-2200-220000002-22-2-2-22200002-22-20000000000-2200-220000002-22-2-2-22200002-22-20000000000-2200-22000000
χ272-22-2-2-2220000-22-2200000000002-200-220000002-22-2-2-2220000-22-2200000000002-200-220000002-22-2-2-2220000-22-2200000000002-200-22000000
χ282-22-2-2-2220000-22-220000000000-22002-20000002-22-2-2-2220000-22-220000000000-22002-20000002-22-2-2-2220000-22-220000000000-22002-2000000
χ292-2-222-2-222-22-22-2-220000002-2000000000000002-2-222-2-222-22-22-2-220000002-2000000000000002-2-222-2-222-22-22-2-220000002-200000000000000
χ302-2-222-2-222-22-2-222-2000000-22000000000000002-2-222-2-222-22-2-222-2000000-22000000000000002-2-222-2-222-22-2-222-2000000-2200000000000000
χ312-2-222-2-22-22-222-2-22000000-22000000000000002-2-222-2-22-22-222-2-22000000-22000000000000002-2-222-2-22-22-222-2-22000000-2200000000000000
χ322-2-222-2-22-22-22-222-20000002-2000000000000002-2-222-2-22-22-22-222-20000002-2000000000000002-2-222-2-22-22-22-222-20000002-200000000000000
χ332-2-22-222-22-2-22000000002i−2i002i−2i0000000000002-2-22-222-22-2-22000000002i−2i002i−2i0000000000002-2-22-222-22-2-22000000002i−2i002i−2i000000000000
χ342-2-22-222-22-2-2200000000−2i2i00−2i2i0000000000002-2-22-222-22-2-2200000000−2i2i00−2i2i0000000000002-2-22-222-22-2-2200000000−2i2i00−2i2i000000000000
χ352-2-22-222-2-222-2000000002i−2i00−2i2i0000000000002-2-22-222-2-222-2000000002i−2i00−2i2i0000000000002-2-22-222-2-222-2000000002i−2i00−2i2i000000000000
χ362-2-22-222-2-222-200000000−2i2i002i−2i0000000000002-2-22-222-2-222-200000000−2i2i002i−2i0000000000002-2-22-222-2-222-200000000−2i2i002i−2i000000000000
χ3744-4-44-44-400000000000000000000000000000044-4-44-44-400000000000000000000000000000044-4-44-44-4000000000000000000000000000000
χ384-44-444-4-40000000000000000000000000000004-44-444-4-40000000000000000000000000000004-44-444-4-4000000000000000000000000000000
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
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ411111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1−1+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−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−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ421111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−1+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−i321−i321−i32−1+i32−1+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+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ43111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ44111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ45111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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−i321+i321+i321+i321+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+i321+i321+i321+i32−1−i32−1−i32
χ46111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+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−i321+i321+i321+i321+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−i32−1−i32−1−i321+i321+i32
χ4711111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-11-1−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+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−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ4811111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-11−1+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−i32−1+i321−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+i32−1−i321+i32−1−i32
χ4911111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-11-11−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i321+i32−1−i32
χ5011111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-11-1−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−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+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ5111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ5211111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32
χ5311111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ5411111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+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+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−i321+i321+i32−1−i321+i321+i32−1−i32
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χ82111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ83111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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+i321−i321−i321−i321−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−i321−i321−i321−i32−1+i32−1+i32
χ84111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−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+i321−i321−i321−i321−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+i32−1+i32−1+i321−i321−i32
χ8511111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-11-1−1−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+i321+i321+i32−1−i32−1−i32−1−i32−1−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+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ8611111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-11−1−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+i32−1−i321+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−i32−1+i321−i32−1+i32
χ8711111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-11-11−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i321−i32−1+i32
χ8811111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-11-1−1−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+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−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ8911111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ9011111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32
χ9111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ9211111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−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−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+i321−i321−i32−1+i321−i321−i32−1+i32
χ932222-2-2-2-222-2-200002-22-2000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i3000000000000000000
χ942222-2-2-2-222-2-20000-22-22000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i3000000000000000000
χ952222-2-2-2-2-2-22200002-2-22000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i3000000000000000000
χ962222-2-2-2-2-2-2220000-222-2000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i3000000000000000000
χ9722-2-2-22-22000022-2-20000000000002-2002-20000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000−1−i3−1−i31+i31+i3000000000000−1−i31+i300−1−i31+i30000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000−1+i3−1+i31−i31−i3000000000000−1+i31−i300−1+i31−i30000
χ9822-2-2-22-22000022-2-2000000000000-2200-220000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000−1−i3−1−i31+i31+i30000000000001+i3−1−i3001+i3−1−i30000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000−1+i3−1+i31−i31−i30000000000001−i3−1+i3001−i3−1+i30000
χ9922-2-2-22-220000-2-2220000000000002-200-220000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i300001+i31+i3−1−i3−1−i3000000000000−1−i31+i3001+i3−1−i30000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i300001−i31−i3−1+i3−1+i3000000000000−1+i31−i3001−i3−1+i30000
χ10022-2-2-22-220000-2-222000000000000-22002-20000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i300001+i31+i3−1−i3−1−i30000000000001+i3−1−i300−1−i31+i30000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i300001−i31−i3−1+i3−1+i30000000000001−i3−1+i300−1+i31−i30000
χ1012-22-2-2-22200002-22-200000000002-2002-2000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000−1−i31+i3−1−i31+i30000000000−1−i31+i300−1−i31+i3000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000−1+i31−i3−1+i31−i30000000000−1+i31−i300−1+i31−i3000000
χ1022-22-2-2-22200002-22-20000000000-2200-22000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000−1−i31+i3−1−i31+i300000000001+i3−1−i3001+i3−1−i3000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000−1+i31−i3−1+i31−i300000000001−i3−1+i3001−i3−1+i3000000
χ1032-22-2-2-2220000-22-2200000000002-200-22000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i300001+i3−1−i31+i3−1−i30000000000−1−i31+i3001+i3−1−i3000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i300001−i3−1+i31−i3−1+i30000000000−1+i31−i3001−i3−1+i3000000
χ1042-22-2-2-2220000-22-220000000000-22002-2000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i300001+i3−1−i31+i3−1−i300000000001+i3−1−i300−1−i31+i3000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i300001−i3−1+i31−i3−1+i300000000001−i3−1+i300−1+i31−i3000000
χ1052-2-222-2-222-22-22-2-220000002-200000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3000000−1−i31+i300000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3000000−1+i31−i300000000000000
χ1062-2-222-2-222-22-2-222-2000000-2200000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i30000001+i3−1−i300000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i30000001−i3−1+i300000000000000
χ1072-2-222-2-22-22-222-2-22000000-2200000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i30000001+i3−1−i300000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i30000001−i3−1+i300000000000000
χ1082-2-222-2-22-22-22-222-20000002-200000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3000000−1−i31+i300000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3000000−1+i31−i300000000000000
χ1092-2-22-222-22-2-22000000002i−2i002i−2i000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3000000002ζ11−2ζ11002ζ11−2ζ11000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3000000002ζ7−2ζ7002ζ7−2ζ7000000000000
χ1102-2-22-222-22-2-2200000000−2i2i00−2i2i000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000−2ζ112ζ1100−2ζ112ζ11000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000−2ζ72ζ700−2ζ72ζ7000000000000
χ1112-2-22-222-2-222-2000000002i−2i00−2i2i000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3000000002ζ11−2ζ1100−2ζ112ζ11000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3000000002ζ7−2ζ700−2ζ72ζ7000000000000
χ1122-2-22-222-2-222-200000000−2i2i002i−2i000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300000000−2ζ112ζ11002ζ11−2ζ11000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300000000−2ζ72ζ7002ζ7−2ζ7000000000000
χ11344-4-44-44-4000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3000000000000000000000000000000
χ1144-44-444-4-4000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3000000000000000000000000000000

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