Finite Group Databasebeta

← Group #84331

Character table — Group #84331

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order12222222444444442222444444444444442444366666661212121212121212666612121212121212121212121212126121212366666661212121212121212666612121212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1
χ911111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-1111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-1111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-11
χ1011111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-111-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-111-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-111-1
χ1111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1
χ1211111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-11
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1
χ1411111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-11-11
χ1511111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-11-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-11-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-11-11
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-11-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-11-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-11-1
χ17222-2-2-22-222-2-2000000000000002i−2i00002i−2i0000222-2-2-22-222-2-2000000000000002i−2i00002i−2i0000222-2-2-22-222-2-2000000000000002i−2i00002i−2i0000
χ18222-2-2-22-222-2-200000000000000−2i2i0000−2i2i0000222-2-2-22-222-2-200000000000000−2i2i0000−2i2i0000222-2-2-22-222-2-200000000000000−2i2i0000−2i2i0000
χ19222-2-2-22-2-2-222000000000000002i−2i0000−2i2i0000222-2-2-22-2-2-222000000000000002i−2i0000−2i2i0000222-2-2-22-2-2-222000000000000002i−2i0000−2i2i0000
χ20222-2-2-22-2-2-22200000000000000−2i2i00002i−2i0000222-2-2-22-2-2-22200000000000000−2i2i00002i−2i0000222-2-2-22-2-2-22200000000000000−2i2i00002i−2i0000
χ2122-22-2-2-222i−2i2i−2i000000002-2002i−2i00000000000022-22-2-2-222i−2i2i−2i000000002-2002i−2i00000000000022-22-2-2-222i−2i2i−2i000000002-2002i−2i000000000000
χ2222-22-2-2-222i−2i2i−2i00000000-2200−2i2i00000000000022-22-2-2-222i−2i2i−2i00000000-2200−2i2i00000000000022-22-2-2-222i−2i2i−2i00000000-2200−2i2i000000000000
χ2322-22-2-2-22−2i2i−2i2i000000002-200−2i2i00000000000022-22-2-2-22−2i2i−2i2i000000002-200−2i2i00000000000022-22-2-2-22−2i2i−2i2i000000002-200−2i2i000000000000
χ2422-22-2-2-22−2i2i−2i2i00000000-22002i−2i00000000000022-22-2-2-22−2i2i−2i2i00000000-22002i−2i00000000000022-22-2-2-22−2i2i−2i2i00000000-22002i−2i000000000000
χ2522-2-222-2-22i−2i−2i2i2i2i−2i−2i2-20000000000000000000022-2-222-2-22i−2i−2i2i2i2i−2i−2i2-20000000000000000000022-2-222-2-22i−2i−2i2i2i2i−2i−2i2-200000000000000000000
χ2622-2-222-2-22i−2i−2i2i−2i−2i2i2i-220000000000000000000022-2-222-2-22i−2i−2i2i−2i−2i2i2i-220000000000000000000022-2-222-2-22i−2i−2i2i−2i−2i2i2i-2200000000000000000000
χ2722-2-222-2-2−2i2i2i−2i2i2i−2i−2i-220000000000000000000022-2-222-2-2−2i2i2i−2i2i2i−2i−2i-220000000000000000000022-2-222-2-2−2i2i2i−2i2i2i−2i−2i-2200000000000000000000
χ2822-2-222-2-2−2i2i2i−2i−2i−2i2i2i2-20000000000000000000022-2-222-2-2−2i2i2i−2i−2i−2i2i2i2-20000000000000000000022-2-222-2-2−2i2i2i−2i−2i−2i2i2i2-200000000000000000000
χ292-2222-2-2-200002i−2i2i−2i002-200000000002i−2i0000002-2222-2-2-200002i−2i2i−2i002-200000000002i−2i0000002-2222-2-2-200002i−2i2i−2i002-200000000002i−2i000000
χ302-2222-2-2-200002i−2i2i−2i00-220000000000−2i2i0000002-2222-2-2-200002i−2i2i−2i00-220000000000−2i2i0000002-2222-2-2-200002i−2i2i−2i00-220000000000−2i2i000000
χ312-2222-2-2-20000−2i2i−2i2i002-20000000000−2i2i0000002-2222-2-2-20000−2i2i−2i2i002-20000000000−2i2i0000002-2222-2-2-20000−2i2i−2i2i002-20000000000−2i2i000000
χ322-2222-2-2-20000−2i2i−2i2i00-2200000000002i−2i0000002-2222-2-2-20000−2i2i−2i2i00-2200000000002i−2i0000002-2222-2-2-20000−2i2i−2i2i00-2200000000002i−2i000000
χ332-2-2-22-22200002-2-220000002-200002-2000000002-2-2-22-22200002-2-220000002-200002-2000000002-2-2-22-22200002-2-220000002-200002-200000000
χ342-2-2-22-22200002-2-22000000-220000-22000000002-2-2-22-22200002-2-22000000-220000-22000000002-2-2-22-22200002-2-22000000-220000-2200000000
χ352-2-2-22-2220000-222-20000002-20000-22000000002-2-2-22-2220000-222-20000002-20000-22000000002-2-2-22-2220000-222-20000002-20000-2200000000
χ362-2-2-22-2220000-222-2000000-2200002-2000000002-2-2-22-2220000-222-2000000-2200002-2000000002-2-2-22-2220000-222-2000000-2200002-200000000
χ374-44-4-44-440000000000000000000000000000004-44-4-44-440000000000000000000000000000004-44-4-44-44000000000000000000000000000000
χ384-4-44-444-40000000000000000000000000000004-4-44-444-40000000000000000000000000000004-4-44-444-4000000000000000000000000000000
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
χ4011111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1−1+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+i321−i321−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−i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ41111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ42111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ43111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ44111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111−1+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−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+i32−1+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−i321+i321+i32−1−i32−1−i32
χ45111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111−1+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+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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ46111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1−1+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−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+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+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−i321+i321+i32
χ4711111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-11−1+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−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+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+i32−1−i321+i321+i32−1−i32
χ4811111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-111-1−1+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−i321−i321−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+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i321+i32
χ4911111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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+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+i32−1−i32−1−i321+i32
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χ81111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1−1−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ82111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111−1−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+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−i32−1−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+i321−i321−i32−1+i32−1+i32
χ83111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111−1−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−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+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ84111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1−1−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+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−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−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+i321−i321−i32
χ8511111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-11−1−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+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−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−i32−1+i321−i321−i32−1+i32
χ8611111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-111-1−1−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+i321+i321+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−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i321−i32
χ8711111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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−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−i32−1+i32−1+i321−i32
χ8811111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-11−1−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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−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+i32−1+i32−1+i321−i321−i32−1+i32
χ8911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1−1−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−i321−i321−i321−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+i321−i32−1+i321−i32
χ9011111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-11-11−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−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+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ9111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-11-11−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ9211111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-11-1−1−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321−i321−i321−i321−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+i321−i321−i32−1+i321−i32−1+i321−i32
χ93222-2-2-22-222-2-2000000000000002i−2i00002i−2i0000−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3000000000000002ζ11−2ζ1100002ζ11−2ζ110000−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3000000000000002ζ7−2ζ700002ζ7−2ζ70000
χ94222-2-2-22-222-2-200000000000000−2i2i0000−2i2i0000−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300000000000000−2ζ112ζ110000−2ζ112ζ110000−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300000000000000−2ζ72ζ70000−2ζ72ζ70000
χ95222-2-2-22-2-2-222000000000000002i−2i0000−2i2i0000−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000000000002ζ11−2ζ110000−2ζ112ζ110000−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000000000002ζ7−2ζ70000−2ζ72ζ70000
χ96222-2-2-22-2-2-22200000000000000−2i2i00002i−2i0000−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i300000000000000−2ζ112ζ1100002ζ11−2ζ110000−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i300000000000000−2ζ72ζ700002ζ7−2ζ70000
χ9722-22-2-2-222i−2i2i−2i000000002-2002i−2i000000000000−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ1100000000−1−i31+i3002ζ11−2ζ11000000000000−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ700000000−1+i31−i3002ζ7−2ζ7000000000000
χ9822-22-2-2-222i−2i2i−2i00000000-2200−2i2i000000000000−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ11000000001+i3−1−i300−2ζ112ζ11000000000000−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ7000000001−i3−1+i300−2ζ72ζ7000000000000
χ9922-22-2-2-22−2i2i−2i2i000000002-200−2i2i000000000000−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ1100000000−1−i31+i300−2ζ112ζ11000000000000−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ700000000−1+i31−i300−2ζ72ζ7000000000000
χ10022-22-2-2-22−2i2i−2i2i00000000-22002i−2i000000000000−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ11000000001+i3−1−i3002ζ11−2ζ11000000000000−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ7000000001−i3−1+i3002ζ7−2ζ7000000000000
χ10122-2-222-2-22i−2i−2i2i2i2i−2i−2i2-200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i32ζ11−2ζ11−2ζ112ζ112ζ112ζ11−2ζ11−2ζ11−1−i31+i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i32ζ7−2ζ7−2ζ72ζ72ζ72ζ7−2ζ7−2ζ7−1+i31−i300000000000000000000
χ10222-2-222-2-22i−2i−2i2i−2i−2i2i2i-2200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i32ζ11−2ζ11−2ζ112ζ11−2ζ11−2ζ112ζ112ζ111+i3−1−i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i32ζ7−2ζ7−2ζ72ζ7−2ζ7−2ζ72ζ72ζ71−i3−1+i300000000000000000000
χ10322-2-222-2-2−2i2i2i−2i2i2i−2i−2i-2200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−2ζ112ζ112ζ11−2ζ112ζ112ζ11−2ζ11−2ζ111+i3−1−i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−2ζ72ζ72ζ7−2ζ72ζ72ζ7−2ζ7−2ζ71−i3−1+i300000000000000000000
χ10422-2-222-2-2−2i2i2i−2i−2i−2i2i2i2-200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−2ζ112ζ112ζ11−2ζ11−2ζ11−2ζ112ζ112ζ11−1−i31+i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−2ζ72ζ72ζ7−2ζ7−2ζ7−2ζ72ζ72ζ7−1+i31−i300000000000000000000
χ1052-2222-2-2-200002i−2i2i−2i002-200000000002i−2i000000−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i300002ζ11−2ζ112ζ11−2ζ1100−1−i31+i300000000002ζ11−2ζ11000000−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i300002ζ7−2ζ72ζ7−2ζ700−1+i31−i300000000002ζ7−2ζ7000000
χ1062-2222-2-2-200002i−2i2i−2i00-220000000000−2i2i000000−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i300002ζ11−2ζ112ζ11−2ζ11001+i3−1−i30000000000−2ζ112ζ11000000−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i300002ζ7−2ζ72ζ7−2ζ7001−i3−1+i30000000000−2ζ72ζ7000000
χ1072-2222-2-2-20000−2i2i−2i2i002-20000000000−2i2i000000−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i30000−2ζ112ζ11−2ζ112ζ1100−1−i31+i30000000000−2ζ112ζ11000000−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i30000−2ζ72ζ7−2ζ72ζ700−1+i31−i30000000000−2ζ72ζ7000000
χ1082-2222-2-2-20000−2i2i−2i2i00-2200000000002i−2i000000−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i30000−2ζ112ζ11−2ζ112ζ11001+i3−1−i300000000002ζ11−2ζ11000000−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i30000−2ζ72ζ7−2ζ72ζ7001−i3−1+i300000000002ζ7−2ζ7000000
χ1092-2-2-22-22200002-2-220000002-200002-200000000−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i3000000−1−i31+i30000−1−i31+i300000000−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i3000000−1+i31−i30000−1+i31−i300000000
χ1102-2-2-22-22200002-2-22000000-220000-2200000000−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i30000001+i3−1−i300001+i3−1−i300000000−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i30000001−i3−1+i300001−i3−1+i300000000
χ1112-2-2-22-2220000-222-20000002-20000-2200000000−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i3000000−1−i31+i300001+i3−1−i300000000−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i3000000−1+i31−i300001−i3−1+i300000000
χ1122-2-2-22-2220000-222-2000000-2200002-200000000−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000001+i3−1−i30000−1−i31+i300000000−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000001−i3−1+i30000−1+i31−i300000000
χ1134-44-4-44-44000000000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3000000000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3000000000000000000000000000000
χ1144-4-44-444-4000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000000000

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