Finite Group Databasebeta

← Group #84673

Character table — Group #84673

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111114444444444444444448888881111111144444444444444444488888811111111444444444444444444888888
order122222224444444444444444444444443666666612121212121212121212121212121212121212121212121236666666121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111-1-1-1-1111111-1-111-1-1-1-11-11-11111111111-1-1-1-1111111-1-111-1-1-1-11-11-11111111111-1-1-1-1111111-1-111-1-1-1-11-11-1
χ61111111111-1-1-1-11111-1-111-1-111-1-1-11-111111111111-1-1-1-11111-1-111-1-111-1-1-11-111111111111-1-1-1-11111-1-111-1-111-1-1-11-11
χ71111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11
χ81111111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1
χ911111111-1-111-1-111-1-1111111-1-11-1-1-1-1111111111-1-111-1-111-1-1111111-1-11-1-1-1-1111111111-1-111-1-111-1-1111111-1-11-1-1-1-11
χ1011111111-1-111-1-111-1-1-1-1-1-1-1-1111-1111-111111111-1-111-1-111-1-1-1-1-1-1-1-1111-1111-111111111-1-111-1-111-1-1-1-1-1-1-1-1111-1111-1
χ1111111111-1-111-1-1-1-1111111-1-111-11-1-11-111111111-1-111-1-1-1-1111111-1-111-11-1-11-111111111-1-111-1-1-1-1111111-1-111-11-1-11-1
χ1211111111-1-111-1-1-1-111-1-1-1-111-1-1-1111-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1111-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1111-11
χ1311111111-1-1-1-11111-1-111-1-11111-11-11-1-111111111-1-1-1-11111-1-111-1-11111-11-11-1-111111111-1-1-1-11111-1-111-1-11111-11-11-1-1
χ1411111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-111
χ1511111111-1-1-1-111-1-11111-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-11111-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1111
χ1611111111-1-1-1-111-1-111-1-11111111-11-1-1-111111111-1-1-1-111-1-111-1-11111111-11-1-1-111111111-1-1-1-111-1-111-1-11111111-11-1-1-1
χ17222-22-2-2-22-200002-22-200000000000000222-22-2-2-22-200002-22-200000000000000222-22-2-2-22-200002-22-200000000000000
χ18222-22-2-2-22-20000-22-2200000000000000222-22-2-2-22-20000-22-2200000000000000222-22-2-2-22-20000-22-2200000000000000
χ19222-22-2-2-2-2200002-2-2200000000000000222-22-2-2-2-2200002-2-2200000000000000222-22-2-2-2-2200002-2-2200000000000000
χ20222-22-2-2-2-220000-222-200000000000000222-22-2-2-2-220000-222-200000000000000222-22-2-2-2-220000-222-200000000000000
χ2122-2-2-22-2200002-2000000002i−2i2i−2i00000022-2-2-22-2200002-2000000002i−2i2i−2i00000022-2-2-22-2200002-2000000002i−2i2i−2i000000
χ2222-2-2-22-2200002-200000000−2i2i−2i2i00000022-2-2-22-2200002-200000000−2i2i−2i2i00000022-2-2-22-2200002-200000000−2i2i−2i2i000000
χ2322-2-2-22-220000-22000000002i−2i−2i2i00000022-2-2-22-220000-22000000002i−2i−2i2i00000022-2-2-22-220000-22000000002i−2i−2i2i000000
χ2422-2-2-22-220000-2200000000−2i2i2i−2i00000022-2-2-22-220000-2200000000−2i2i2i−2i00000022-2-2-22-220000-2200000000−2i2i2i−2i000000
χ252-22-2-2-222002-20000002i−2i2i−2i00000000002-22-2-2-222002-20000002i−2i2i−2i00000000002-22-2-2-222002-20000002i−2i2i−2i0000000000
χ262-22-2-2-222002-2000000−2i2i−2i2i00000000002-22-2-2-222002-2000000−2i2i−2i2i00000000002-22-2-2-222002-2000000−2i2i−2i2i0000000000
χ272-22-2-2-22200-220000002i−2i−2i2i00000000002-22-2-2-22200-220000002i−2i−2i2i00000000002-22-2-2-22200-220000002i−2i−2i2i0000000000
χ282-22-2-2-22200-22000000−2i2i2i−2i00000000002-22-2-2-22200-22000000−2i2i2i−2i00000000002-22-2-2-22200-22000000−2i2i2i−2i0000000000
χ2944-44-4-44-400000000000000000000000044-44-4-44-400000000000000000000000044-44-4-44-4000000000000000000000000
χ304-444-44-4-40000000000000000000000004-444-44-4-40000000000000000000000004-444-44-4-4000000000000000000000000
χ314-4-444-4-440000000000000000000000004-4-444-4-440000000000000000000000004-4-444-4-44000000000000000000000000
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
χ34111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1−1+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−i321−i321−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3511111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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+i32−1−i32−1−i321+i321+i32
χ3611111111111111-1-1-1-1-1-1-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ371111111111-1-1-1-1111111-1-111-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−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−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ381111111111-1-1-1-11111-1-111-1-111-1-1-11-11−1+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−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−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+i32−1−i321+i32−1−i32
χ391111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ401111111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1−1+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+i32−1+i32−1+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−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−i321+i32−1−i32−1−i321+i32
χ4111111111-1-111-1-111-1-1111111-1-11-1-1-1-11−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ4211111111-1-111-1-111-1-1-1-1-1-1-1-1111-1111-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ4311111111-1-111-1-1-1-1111111-1-111-11-1-11-1−1+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+i32−1+i32−1+i321−i321−i32−1+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−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−i321+i32−1−i321+i321+i32−1−i321+i32
χ4411111111-1-111-1-1-1-111-1-1-1-111-1-1-1111-11−1+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−i321−i32−1+i32−1+i32−1+i321−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+i321+i32−1−i32−1−i32−1−i321+i32−1−i32
χ4511111111-1-1-1-11111-1-111-1-11111-11-11-1-1−1+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−i32−1+i321−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+i32−1−i321+i32−1−i321+i321+i32
χ4611111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-111−1+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−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ4711111111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1111−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ4811111111-1-1-1-111-1-111-1-11111111-11-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32
χ49222-22-2-2-22-200002-22-200000000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i30000−1+i31−i3−1+i31−i300000000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i30000−1−i31+i3−1−i31+i300000000000000
χ50222-22-2-2-22-20000-22-2200000000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i300001−i3−1+i31−i3−1+i300000000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i300001+i3−1−i31+i3−1−i300000000000000
χ51222-22-2-2-2-2200002-2-2200000000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i30000−1+i31−i31−i3−1+i300000000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i30000−1−i31+i31+i3−1−i300000000000000
χ52222-22-2-2-2-220000-222-200000000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i300001−i3−1+i3−1+i31−i300000000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i300001+i3−1−i3−1−i31+i300000000000000
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χ66111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1−1−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+i321+i321+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ6711111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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−i32−1+i32−1+i321−i321−i32
χ6811111111111111-1-1-1-1-1-1-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ691111111111-1-1-1-1111111-1-111-1-1-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+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+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ701111111111-1-1-1-11111-1-111-1-111-1-1-11-11−1−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+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+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−i32−1+i321−i32−1+i32
χ711111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11−1−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ721111111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1−1−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−i32−1−i32−1−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+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+i321−i32−1+i32−1+i321−i32
χ7311111111-1-111-1-111-1-1111111-1-11-1-1-1-11−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32
χ7411111111-1-111-1-111-1-1-1-1-1-1-1-1111-1111-1−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ7511111111-1-111-1-1-1-1111111-1-111-11-1-11-1−1−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−i32−1−i32−1−i321+i321+i32−1−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+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+i321−i32−1+i321−i321−i32−1+i321−i32
χ7611111111-1-111-1-1-1-111-1-1-1-111-1-1-1111-11−1−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+i321+i32−1−i32−1−i32−1−i321+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−i321−i32−1+i32−1+i32−1+i321−i32−1+i32
χ7711111111-1-1-1-11111-1-111-1-11111-11-11-1-1−1−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+i32−1−i321+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−i32−1+i321−i32−1+i321−i321−i32
χ7811111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-111−1−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+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32
χ7911111111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1111−1−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ8011111111-1-1-1-111-1-111-1-11111111-11-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32
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χ902-22-2-2-222002-2000000−2i2i−2i2i0000000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i300−1−i31+i3000000−2ζ112ζ11−2ζ112ζ110000000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i300−1+i31−i3000000−2ζ72ζ7−2ζ72ζ70000000000
χ912-22-2-2-22200-220000002i−2i−2i2i0000000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3001+i3−1−i30000002ζ11−2ζ11−2ζ112ζ110000000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3001−i3−1+i30000002ζ7−2ζ7−2ζ72ζ70000000000
χ922-22-2-2-22200-22000000−2i2i2i−2i0000000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3001+i3−1−i3000000−2ζ112ζ112ζ11−2ζ110000000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3001−i3−1+i3000000−2ζ72ζ72ζ7−2ζ70000000000
χ9344-44-4-44-4000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3000000000000000000000000
χ944-444-44-4-4000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3000000000000000000000000
χ954-4-444-4-44000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+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.