Finite Group Databasebeta

← Group #84508

Character table — Group #84508

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222444444444444888888881111111122224444444444448888888811111111222244444444444488888888
order12222222444444444444444422444444366666661212121212121212121212121212121266121212121212366666661212121212121212121212121212121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111-1-111-1-1-1-111-1-111-1-111-1-1111111111111-1-111-1-1-1-111-1-111-1-111-1-1111111111111-1-111-1-1-1-111-1-111-1-111-1-1
χ6111111111111-1-111-1-1-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-111-1-111
χ7111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ8111111111111-1-1-1-111-1-1-1-111-1-11111-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ911111111-1-1-1-11111-1-1-1-1-1-1111-11-11-11-111111111-1-1-1-11111-1-1-1-1-1-1111-11-11-11-111111111-1-1-1-11111-1-1-1-1-1-1111-11-11-11-1
χ1011111111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1111111111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1111111111-1-1-1-11111-1-1-1-1-1-111-11-11-11-11
χ1111111111-1-1-1-111-1-111-1-111-1-11-11-1-11-1111111111-1-1-1-111-1-111-1-111-1-11-11-1-11-1111111111-1-1-1-111-1-111-1-111-1-11-11-1-11-11
χ1211111111-1-1-1-111-1-111-1-111-1-1-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-11-111-11-111111111-1-1-1-111-1-111-1-111-1-1-11-111-11-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1111111111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1111111111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111111-1-11-111-111111111-1-1-1-1-1-1-1-1-1-11111111-1-11-111-111111111-1-1-1-1-1-1-1-1-1-11111111-1-11-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1111111-111-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-111-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-111-11-1-11
χ17222-2-22-2-222-2-200002i−2i00002i−2i00000000222-2-22-2-222-2-200002i−2i00002i−2i00000000222-2-22-2-222-2-200002i−2i00002i−2i00000000
χ18222-2-22-2-222-2-20000−2i2i0000−2i2i00000000222-2-22-2-222-2-20000−2i2i0000−2i2i00000000222-2-22-2-222-2-20000−2i2i0000−2i2i00000000
χ19222-2-22-2-2-2-22200002i−2i0000−2i2i00000000222-2-22-2-2-2-22200002i−2i0000−2i2i00000000222-2-22-2-2-2-22200002i−2i0000−2i2i00000000
χ20222-2-22-2-2-2-2220000−2i2i00002i−2i00000000222-2-22-2-2-2-2220000−2i2i00002i−2i00000000222-2-22-2-2-2-2220000−2i2i00002i−2i00000000
χ2122-22-2-22-22-22-2002i−2i00002i−2i000000000022-22-2-22-22-22-2002i−2i00002i−2i000000000022-22-2-22-22-22-2002i−2i00002i−2i0000000000
χ2222-22-2-22-22-22-200−2i2i0000−2i2i000000000022-22-2-22-22-22-200−2i2i0000−2i2i000000000022-22-2-22-22-22-200−2i2i0000−2i2i0000000000
χ2322-22-2-22-2-22-22002i−2i0000−2i2i000000000022-22-2-22-2-22-22002i−2i0000−2i2i000000000022-22-2-22-2-22-22002i−2i0000−2i2i0000000000
χ2422-22-2-22-2-22-2200−2i2i00002i−2i000000000022-22-2-22-2-22-2200−2i2i00002i−2i000000000022-22-2-22-2-22-2200−2i2i00002i−2i0000000000
χ2522-2-22-2-222-2-222i−2i00002i−2i00000000000022-2-22-2-222-2-222i−2i00002i−2i00000000000022-2-22-2-222-2-222i−2i00002i−2i000000000000
χ2622-2-22-2-222-2-22−2i2i0000−2i2i00000000000022-2-22-2-222-2-22−2i2i0000−2i2i00000000000022-2-22-2-222-2-22−2i2i0000−2i2i000000000000
χ2722-2-22-2-22-222-22i−2i0000−2i2i00000000000022-2-22-2-22-222-22i−2i0000−2i2i00000000000022-2-22-2-22-222-22i−2i0000−2i2i000000000000
χ2822-2-22-2-22-222-2−2i2i00002i−2i00000000000022-2-22-2-22-222-2−2i2i00002i−2i00000000000022-2-22-2-22-222-2−2i2i00002i−2i000000000000
χ294-4444-4-4-40000000000000000000000004-4444-4-4-40000000000000000000000004-4444-4-4-4000000000000000000000000
χ304-44-4-4-4440000000000000000000000004-44-4-4-4440000000000000000000000004-44-4-4-444000000000000000000000000
χ314-4-44-44-440000000000000000000000004-4-44-44-440000000000000000000000004-4-44-44-44000000000000000000000000
χ324-4-4-4444-40000000000000000000000004-4-4-4444-40000000000000000000000004-4-4-4444-4000000000000000000000000
χ3311111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3511111111111111-1-1-1-111-1-1-1-11111-1-1-1-1−1+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+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−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
χ3611111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1+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+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−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
χ37111111111111-1-111-1-1-1-111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ38111111111111-1-111-1-1-1-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ39111111111111-1-1-1-111-1-1-1-11111-1-1-1-111−1+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−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−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−i32
χ40111111111111-1-1-1-111-1-1-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4111111111-1-1-1-11111-1-1-1-1-1-1111-11-11-11-1−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4211111111-1-1-1-11111-1-1-1-1-1-111-11-11-11-11−1+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−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+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−i321+i321+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−i321+i32−1−i321+i32−1−i32
χ4311111111-1-1-1-111-1-111-1-111-1-11-11-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4411111111-1-1-1-111-1-111-1-111-1-1-11-111-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ4511111111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11−1+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+i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4611111111-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1−1+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+i321−i321−i321−i321−i321−i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ4711111111-1-1-1-1-1-1-1-1-1-11111111-1-11-111-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ4811111111-1-1-1-1-1-1-1-1-1-1111111-111-11-1-11−1+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+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ49222-2-22-2-222-2-200002i−2i00002i−2i00000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i300002ζ7−2ζ700002ζ7−2ζ700000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i300002ζ11−2ζ1100002ζ11−2ζ1100000000
χ50222-2-22-2-222-2-20000−2i2i0000−2i2i00000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−2ζ72ζ70000−2ζ72ζ700000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−2ζ112ζ110000−2ζ112ζ1100000000
χ51222-2-22-2-2-2-22200002i−2i0000−2i2i00000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i300002ζ7−2ζ70000−2ζ72ζ700000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i300002ζ11−2ζ110000−2ζ112ζ1100000000
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χ66111111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6711111111111111-1-1-1-111-1-1-1-11111-1-1-1-1−1−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−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+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
χ6811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1−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−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+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
χ69111111111111-1-111-1-1-1-111-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ70111111111111-1-111-1-1-1-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ71111111111111-1-1-1-111-1-1-1-11111-1-1-1-111−1−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+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+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+i32
χ72111111111111-1-1-1-111-1-1-1-111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7311111111-1-1-1-11111-1-1-1-1-1-1111-11-11-11-1−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ7411111111-1-1-1-11111-1-1-1-1-1-111-11-11-11-11−1−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+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−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+i321−i321−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+i321−i32−1+i321−i32−1+i32
χ7511111111-1-1-1-111-1-111-1-111-1-11-11-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ7611111111-1-1-1-111-1-111-1-111-1-1-11-111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ7711111111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11−1−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−i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ7811111111-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1−1−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−i321+i321+i321+i321+i321+i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ7911111111-1-1-1-1-1-1-1-1-1-11111111-1-11-111-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ8011111111-1-1-1-1-1-1-1-1-1-1111111-111-11-1-11−1−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−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ81222-2-22-2-222-2-200002i−2i00002i−2i00000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i300002ζ11−2ζ1100002ζ11−2ζ1100000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i300002ζ7−2ζ700002ζ7−2ζ700000000
χ82222-2-22-2-222-2-20000−2i2i0000−2i2i00000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−2ζ112ζ110000−2ζ112ζ1100000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−2ζ72ζ70000−2ζ72ζ700000000
χ83222-2-22-2-2-2-22200002i−2i0000−2i2i00000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i300002ζ11−2ζ110000−2ζ112ζ1100000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i300002ζ7−2ζ70000−2ζ72ζ700000000
χ84222-2-22-2-2-2-2220000−2i2i00002i−2i00000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−2ζ112ζ1100002ζ11−2ζ1100000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−2ζ72ζ700002ζ7−2ζ700000000
χ8522-22-2-22-22-22-2002i−2i00002i−2i0000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3002ζ11−2ζ1100002ζ11−2ζ110000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3002ζ7−2ζ700002ζ7−2ζ70000000000
χ8622-22-2-22-22-22-200−2i2i0000−2i2i0000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i300−2ζ112ζ110000−2ζ112ζ110000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i300−2ζ72ζ70000−2ζ72ζ70000000000
χ8722-22-2-22-2-22-22002i−2i0000−2i2i0000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3002ζ11−2ζ110000−2ζ112ζ110000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3002ζ7−2ζ70000−2ζ72ζ70000000000
χ8822-22-2-22-2-22-2200−2i2i00002i−2i0000000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i300−2ζ112ζ1100002ζ11−2ζ110000000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i300−2ζ72ζ700002ζ7−2ζ70000000000
χ8922-2-22-2-222-2-222i−2i00002i−2i000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i32ζ11−2ζ1100002ζ11−2ζ11000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i32ζ7−2ζ700002ζ7−2ζ7000000000000
χ9022-2-22-2-222-2-22−2i2i0000−2i2i000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−2ζ112ζ110000−2ζ112ζ11000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−2ζ72ζ70000−2ζ72ζ7000000000000
χ9122-2-22-2-22-222-22i−2i0000−2i2i000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i32ζ11−2ζ110000−2ζ112ζ11000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i32ζ7−2ζ70000−2ζ72ζ7000000000000
χ9222-2-22-2-22-222-2−2i2i00002i−2i000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−2ζ112ζ1100002ζ11−2ζ11000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−2ζ72ζ700002ζ7−2ζ7000000000000
χ934-4444-4-4-4000000000000000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3000000000000000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3000000000000000000000000
χ944-44-4-4-444000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3000000000000000000000000
χ954-4-44-44-44000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i3000000000000000000000000
χ964-4-4-4444-4000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i3000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i3000000000000000000000000

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