Finite Group Databasebeta

← Group #84459

Character table — Group #84459

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444444488881111111122222222444444444444444444888811111111222222224444444444444444448888
order122222224444444422444444444444444424443666666612121212121212126612121212121212121212121212121212612121236666666121212121212121266121212121212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-111-1-1-1-1
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
χ5111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-111-1111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-111-1111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-111-1
χ6111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1-11
χ7111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-11
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1
χ911111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1011111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1
χ1211111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-11-1
χ1411111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-11-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-11-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-11-11
χ1511111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-11
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1
χ17222-2-2-2-222i2i−2i−2i22-2-200002i−2i0000000000000000222-2-2-2-222i2i−2i−2i22-2-200002i−2i0000000000000000222-2-2-2-222i2i−2i−2i22-2-200002i−2i0000000000000000
χ18222-2-2-2-222i2i−2i−2i-2-2220000−2i2i0000000000000000222-2-2-2-222i2i−2i−2i-2-2220000−2i2i0000000000000000222-2-2-2-222i2i−2i−2i-2-2220000−2i2i0000000000000000
χ19222-2-2-2-22−2i−2i2i2i22-2-20000−2i2i0000000000000000222-2-2-2-22−2i−2i2i2i22-2-20000−2i2i0000000000000000222-2-2-2-22−2i−2i2i2i22-2-20000−2i2i0000000000000000
χ20222-2-2-2-22−2i−2i2i2i-2-22200002i−2i0000000000000000222-2-2-2-22−2i−2i2i2i-2-22200002i−2i0000000000000000222-2-2-2-22−2i−2i2i2i-2-22200002i−2i0000000000000000
χ2122-222-2-2-200002i−2i2i−2i002-20000000000002i−2i000022-222-2-2-200002i−2i2i−2i002-20000000000002i−2i000022-222-2-2-200002i−2i2i−2i002-20000000000002i−2i0000
χ2222-222-2-2-200002i−2i2i−2i00-22000000000000−2i2i000022-222-2-2-200002i−2i2i−2i00-22000000000000−2i2i000022-222-2-2-200002i−2i2i−2i00-22000000000000−2i2i0000
χ2322-222-2-2-20000−2i2i−2i2i002-2000000000000−2i2i000022-222-2-2-20000−2i2i−2i2i002-2000000000000−2i2i000022-222-2-2-20000−2i2i−2i2i002-2000000000000−2i2i0000
χ2422-222-2-2-20000−2i2i−2i2i00-220000000000002i−2i000022-222-2-2-20000−2i2i−2i2i00-220000000000002i−2i000022-222-2-2-20000−2i2i−2i2i00-220000000000002i−2i0000
χ2522-2-2-222-200002i−2i−2i2i00000000002i−2i2-20000000022-2-2-222-200002i−2i−2i2i00000000002i−2i2-20000000022-2-2-222-200002i−2i−2i2i00000000002i−2i2-200000000
χ2622-2-2-222-200002i−2i−2i2i0000000000−2i2i-220000000022-2-2-222-200002i−2i−2i2i0000000000−2i2i-220000000022-2-2-222-200002i−2i−2i2i0000000000−2i2i-2200000000
χ2722-2-2-222-20000−2i2i2i−2i00000000002i−2i-220000000022-2-2-222-20000−2i2i2i−2i00000000002i−2i-220000000022-2-2-222-20000−2i2i2i−2i00000000002i−2i-2200000000
χ2822-2-2-222-20000−2i2i2i−2i0000000000−2i2i2-20000000022-2-2-222-20000−2i2i2i−2i0000000000−2i2i2-20000000022-2-2-222-20000−2i2i2i−2i0000000000−2i2i2-200000000
χ292-222-22-2-22-22-20000000000002i−2i00002i−2i0000002-222-22-2-22-22-20000000000002i−2i00002i−2i0000002-222-22-2-22-22-20000000000002i−2i00002i−2i000000
χ302-222-22-2-22-22-2000000000000−2i2i0000−2i2i0000002-222-22-2-22-22-2000000000000−2i2i0000−2i2i0000002-222-22-2-22-22-2000000000000−2i2i0000−2i2i000000
χ312-222-22-2-2-22-220000000000002i−2i0000−2i2i0000002-222-22-2-2-22-220000000000002i−2i0000−2i2i0000002-222-22-2-2-22-220000000000002i−2i0000−2i2i000000
χ322-222-22-2-2-22-22000000000000−2i2i00002i−2i0000002-222-22-2-2-22-22000000000000−2i2i00002i−2i0000002-222-22-2-2-22-22000000000000−2i2i00002i−2i000000
χ332-22-22-22-22i−2i−2i2i00002-200002i−2i000000000000002-22-22-22-22i−2i−2i2i00002-200002i−2i000000000000002-22-22-22-22i−2i−2i2i00002-200002i−2i00000000000000
χ342-22-22-22-22i−2i−2i2i0000-220000−2i2i000000000000002-22-22-22-22i−2i−2i2i0000-220000−2i2i000000000000002-22-22-22-22i−2i−2i2i0000-220000−2i2i00000000000000
χ352-22-22-22-2−2i2i2i−2i00002-20000−2i2i000000000000002-22-22-22-2−2i2i2i−2i00002-20000−2i2i000000000000002-22-22-22-2−2i2i2i−2i00002-20000−2i2i00000000000000
χ362-22-22-22-2−2i2i2i−2i0000-2200002i−2i000000000000002-22-22-22-2−2i2i2i−2i0000-2200002i−2i000000000000002-22-22-22-2−2i2i2i−2i0000-2200002i−2i00000000000000
χ374-4-44-4-4440000000000000000000000000000004-4-44-4-4440000000000000000000000000000004-4-44-4-444000000000000000000000000000000
χ384-4-4-444-440000000000000000000000000000004-4-4-444-440000000000000000000000000000004-4-4-444-44000000000000000000000000000000
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
χ40111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1−1+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+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−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ411111111111111111-1-11111-1-1-1-11111-1-111-1-1-1-1−1+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+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+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+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
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
χ43111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-111-1−1+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−i32−1+i32−1+i321−i321−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−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+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ44111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1-11−1+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−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ45111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-11−1+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−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−i321+i321+i32−1−i32
χ46111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1−1+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−i321−i321−i32−1+i32−1+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−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−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ4711111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4811111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1−1+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+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+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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ4911111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1−1+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+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+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+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
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χ81111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-111-1−1−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+i32−1−i32−1−i321+i321+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+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−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ82111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1-11−1−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+i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ83111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-11−1−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+i321+i321+i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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+i321−i321−i32−1+i32
χ84111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1−1−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+i321+i321+i32−1−i32−1−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+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+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ8511111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ8611111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1−1−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−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−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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ8711111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1−1−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−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−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−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
χ8811111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−1−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+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+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ8911111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-11-1−1−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−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−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ9011111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-11-11−1−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+i32−1−i32−1−i32−1−i32−1−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+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+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ9111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+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−i321−i321−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−i32−1+i321−i32−1+i32
χ9211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−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−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+i321−i32−1+i321−i32
χ93222-2-2-2-222i2i−2i−2i22-2-200002i−2i0000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32ζ112ζ11−2ζ11−2ζ11−1−i3−1−i31+i31+i300002ζ11−2ζ110000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32ζ72ζ7−2ζ7−2ζ7−1+i3−1+i31−i31−i300002ζ7−2ζ70000000000000000
χ94222-2-2-2-222i2i−2i−2i-2-2220000−2i2i0000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32ζ112ζ11−2ζ11−2ζ111+i31+i3−1−i3−1−i30000−2ζ112ζ110000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32ζ72ζ7−2ζ7−2ζ71−i31−i3−1+i3−1+i30000−2ζ72ζ70000000000000000
χ95222-2-2-2-22−2i−2i2i2i22-2-20000−2i2i0000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−2ζ11−2ζ112ζ112ζ11−1−i3−1−i31+i31+i30000−2ζ112ζ110000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−2ζ7−2ζ72ζ72ζ7−1+i3−1+i31−i31−i30000−2ζ72ζ70000000000000000
χ96222-2-2-2-22−2i−2i2i2i-2-22200002i−2i0000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−2ζ11−2ζ112ζ112ζ111+i31+i3−1−i3−1−i300002ζ11−2ζ110000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−2ζ7−2ζ72ζ72ζ71−i31−i3−1+i3−1+i300002ζ7−2ζ70000000000000000
χ9722-222-2-2-200002i−2i2i−2i002-20000000000002i−2i0000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i300002ζ11−2ζ112ζ11−2ζ1100−1−i31+i30000000000002ζ11−2ζ110000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i300002ζ7−2ζ72ζ7−2ζ700−1+i31−i30000000000002ζ7−2ζ70000
χ9822-222-2-2-200002i−2i2i−2i00-22000000000000−2i2i0000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i300002ζ11−2ζ112ζ11−2ζ11001+i3−1−i3000000000000−2ζ112ζ110000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i300002ζ7−2ζ72ζ7−2ζ7001−i3−1+i3000000000000−2ζ72ζ70000
χ9922-222-2-2-20000−2i2i−2i2i002-2000000000000−2i2i0000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30000−2ζ112ζ11−2ζ112ζ1100−1−i31+i3000000000000−2ζ112ζ110000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30000−2ζ72ζ7−2ζ72ζ700−1+i31−i3000000000000−2ζ72ζ70000
χ10022-222-2-2-20000−2i2i−2i2i00-220000000000002i−2i0000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30000−2ζ112ζ11−2ζ112ζ11001+i3−1−i30000000000002ζ11−2ζ110000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30000−2ζ72ζ7−2ζ72ζ7001−i3−1+i30000000000002ζ7−2ζ70000
χ10122-2-2-222-200002i−2i−2i2i00000000002i−2i2-200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i300002ζ11−2ζ11−2ζ112ζ1100000000002ζ11−2ζ11−1−i31+i300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i300002ζ7−2ζ7−2ζ72ζ700000000002ζ7−2ζ7−1+i31−i300000000
χ10222-2-2-222-200002i−2i−2i2i0000000000−2i2i-2200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i300002ζ11−2ζ11−2ζ112ζ110000000000−2ζ112ζ111+i3−1−i300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i300002ζ7−2ζ7−2ζ72ζ70000000000−2ζ72ζ71−i3−1+i300000000
χ10322-2-2-222-20000−2i2i2i−2i00000000002i−2i-2200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i30000−2ζ112ζ112ζ11−2ζ1100000000002ζ11−2ζ111+i3−1−i300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i30000−2ζ72ζ72ζ7−2ζ700000000002ζ7−2ζ71−i3−1+i300000000
χ10422-2-2-222-20000−2i2i2i−2i0000000000−2i2i2-200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i30000−2ζ112ζ112ζ11−2ζ110000000000−2ζ112ζ11−1−i31+i300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i30000−2ζ72ζ72ζ7−2ζ70000000000−2ζ72ζ7−1+i31−i300000000
χ1052-222-22-2-22-22-20000000000002i−2i00002i−2i000000−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000000000002ζ11−2ζ1100002ζ11−2ζ11000000−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000000000002ζ7−2ζ700002ζ7−2ζ7000000
χ1062-222-22-2-22-22-2000000000000−2i2i0000−2i2i000000−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3000000000000−2ζ112ζ110000−2ζ112ζ11000000−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3000000000000−2ζ72ζ70000−2ζ72ζ7000000
χ1072-222-22-2-2-22-220000000000002i−2i0000−2i2i000000−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000000000002ζ11−2ζ110000−2ζ112ζ11000000−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000000000002ζ7−2ζ70000−2ζ72ζ7000000
χ1082-222-22-2-2-22-22000000000000−2i2i00002i−2i000000−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000000000−2ζ112ζ1100002ζ11−2ζ11000000−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000000000−2ζ72ζ700002ζ7−2ζ7000000
χ1092-22-22-22-22i−2i−2i2i00002-200002i−2i00000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ11−2ζ112ζ110000−1−i31+i300002ζ11−2ζ1100000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ7−2ζ72ζ70000−1+i31−i300002ζ7−2ζ700000000000000
χ1102-22-22-22-22i−2i−2i2i0000-220000−2i2i00000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ11−2ζ112ζ1100001+i3−1−i30000−2ζ112ζ1100000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ7−2ζ72ζ700001−i3−1+i30000−2ζ72ζ700000000000000
χ1112-22-22-22-2−2i2i2i−2i00002-20000−2i2i00000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ112ζ11−2ζ110000−1−i31+i30000−2ζ112ζ1100000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ72ζ7−2ζ70000−1+i31−i30000−2ζ72ζ700000000000000
χ1122-22-22-22-2−2i2i2i−2i0000-2200002i−2i00000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ112ζ11−2ζ1100001+i3−1−i300002ζ11−2ζ1100000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ72ζ7−2ζ700001−i3−1+i300002ζ7−2ζ700000000000000
χ1134-4-44-4-444000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i3000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i3000000000000000000000000000000
χ1144-4-4-444-44000000000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i3000000000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i3000000000000000000000000000000

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